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Artur Popławski has been shared in 120 public circles

You can see here the 50 latest shared circles.
If this is your profile, you can check your dashboard to see all shared circles you have been included.

AuthorFollowersDateUsers in CircleCommentsReshares+1Links
Kukuh Malindo2322014-08-02 10:20:4450016319CC G+
Doug Hyatt5,196THIS IS MEGA CIRCLE 5    #DOUGHYATTCIRCLESHARING IT ADDED 1,000+ FOLLOWERS FOR ME IN A WEEK.1) ADD THE CIRCLE2) RESHARE THE CIRCLE AND BE SURE TO REMEMBER TO CHECK THE BOX WHICH INCLUDES YOURSELF.3)RESHARE TO PUBLIC EVERY DAY!BE SURE TO COPY THE HASHTAG LIST AND ADD IN YOUR COMMENTS LIKE I HAVE!  IT WILL GIVE YOU MAXIMUM RESULTS#doughyattcirclesharing#circles   #circlemania   #circletoday   #circleplus   #circleshare   #circlesharing   #CircleSharing   #sharecircle   #sharecirclethis   #worldsharecircle   #pleasecircleaddme   #circleoftheday   #newgenerationcircle  #monstercircle   #usacircle   #bestofthecircle   #shareofthecircle   #pleasecircle   #newbestcircl  add circle add circle * best share circle * share please pleaseplease add circle * best share circle * share please please#add #circle   #addcircle   #pleasecircle   #bestcircle   #mostcircle  #bestsharecircle   #newcircle   #top100circle   #best500circle   #top500circle   2014-07-16 15:49:10477151421CC G+
Richard Green74,896Engagers Showcase Circle, July 12, 2014If I sent you a notification, it means that you are included in my Engagers Showcase Circle. “Showcase” means that you are invited to leave a comment (on the original post) with a link to one of your own posts, which ideally should be one of your best recent posts.This circle consists of people who have engaged with one of my recent posts in the form of +1s, comments and reshares.Everyone mentioned below is also included in the circle.Thistlehttps://plus.google.com/101584889282878921052/posts/CKB7ks1VWZ3“Star Gate” by +Gary Matthews https://plus.google.com/101584889282878921052/posts/ean83YFix7sBubble (reshared from +Ann-Marie Jurek)https://plus.google.com/101584889282878921052/posts/PkybKJfXv14Gabriel's Hornhttps://plus.google.com/101584889282878921052/posts/MXNTuq8ZEBPHibiscus flowerhttps://plus.google.com/101584889282878921052/posts/Xsmw62v98CHStackable 12-sided dicehttps://plus.google.com/101584889282878921052/posts/5mLoukdZAA5Astronomical book priceshttps://plus.google.com/101584889282878921052/posts/S15LTNxJA9GPyritohedral symmetryhttps://plus.google.com/101584889282878921052/posts/XQUYMrKGiAQSt Stephen's Basilica (reshared from +Laura Orange)https://plus.google.com/101584889282878921052/posts/ApnSMBsUWFeCircular Pascal Arrays and Fibonacci numbershttps://plus.google.com/101584889282878921052/posts/NVqYKoRVnHg“Fungi tree” by +Tom Beddardhttps://plus.google.com/101584889282878921052/posts/J6S4bDc6QwQAs always, reshares of this circle are appreciated, and I look forward to seeing everyone's links. Thanks for reading my posts!2014-07-12 05:31:36476209131223CC G+
Greg Strandberg942Sci-Fi and Fantasy Readers CircleWant to connect with #fantasyauthor  and #scifiauthor  ?This #circleshare  has those folks and chances are you'll get some interesting things in your feed. #circlesharing   #googleshare   #circleoftheday   #sharedcircles   #fantasywriters   #sciencefictionfantasy   #scifi  2014-07-10 23:13:52173000CC G+
Doug Hyatt3,234MANY NEW PEOPLE #2 THAT WILL PLUS 1 and RESHARESimply ADD yourself to this circle, copy the #HASHTAGS, and REPOST#circles   #circlemania   #circletoday   #circleplus   #circleshare   #circlesharing   #CircleSharing   #sharecircle   #sharecirclethis   #worldsharecircle   #pleasecircleaddme   #circleoftheday   #newgenerationcircle  #monstercircle   #usacircle   #bestofthecircle   #shareofthecircle   #pleasecircle   #newbestcircl  add circle add circle * best share circle * share please pleaseplease add circle * best share circle * share please please#add #circle   #addcircle   #pleasecircle   #bestcircle   #mostcircle  #bestsharecircle   #newcircle   #top100circle   #best500circle   #top500circle   #circleoftheday   #circledaily   #nicecircle   2014-06-29 10:59:0549119415CC G+
Dina Tika0Here is a group of Active Engagers, Circle Sharers, Awesome Plus Oners, and Cool People on Google Plus!   Circle Sharing is an awesome way to increase your followers and active engagers on your profile. Some of my favorite people that I've met here on Google + through Circle Sharing.    Want to be in the next Circle of Awesomeness? Follow the Steps Below!  ☛ Add the circle ☛ Share in the Public ☛ Plus 1 the Post. ☛ Comment. 2014-06-10 05:53:52479001CC G+
Lynda Chervil534This circle is for +++++++Green Living folks++++++. You'll find green minded individuals who are committed to promoting an environmentally conscious approach to living, technology, business etc. Please feel free to add all of these fine folks and share this circle with your friends! Just add the circle and share it with your followers! #greenliving   #environmentalism   #environment   #alternativeenergy  2014-05-30 19:27:5849917717CC G+
Richard Green68,138Engagers Showcase Circle, May 12, 2014If you received a notification, it means that you are included in my Engagers Showcase Circle. “Showcase” means that you are invited to leave a comment (on the original post) with a link to one of your own posts, which ideally should be one of your best recent posts.This circle consists of people who have engaged with one of my recent posts in the form of +1s, comments and reshares.Everyone mentioned below is also included in the circle.Peruvian glacier (reshared from +Irina Tcherednichenko)https://plus.google.com/101584889282878921052/posts/Z6NR7zaZa5qGrape hyacinthshttps://plus.google.com/101584889282878921052/posts/GZoHH2bnRUiSymmetries of a regular octagonhttps://plus.google.com/101584889282878921052/posts/bFcGcsurF5HHappy Easter!https://plus.google.com/101584889282878921052/posts/YkWFA9WmxVAPerfect Squared Squareshttps://plus.google.com/101584889282878921052/posts/HDU4mWD3wptOur dog Rexhttps://plus.google.com/101584889282878921052/posts/5JtEcnt5MpPPerrott's Follyhttps://plus.google.com/101584889282878921052/posts/8DzXHLn6fe4The Lonely Runner Conjecturehttps://plus.google.com/101584889282878921052/posts/YHJkEdKg3jz“Owl” by Andrea Mininihttps://plus.google.com/101584889282878921052/posts/12uh9J9MjMXPenrose nanotileshttps://plus.google.com/101584889282878921052/posts/7PZPSLaFkAx“Interlaced Stars” by Magnenauthttps://plus.google.com/101584889282878921052/posts/5vNjv1yjVMqBlack Forest View (reshared from +Ralph Reichert)https://plus.google.com/101584889282878921052/posts/YKPsvCFDyUv“Hippie Bus Apartments” by +Richie Montgomeryhttps://plus.google.com/101584889282878921052/posts/iCMXCBVzjd2Not crazy enoughhttps://plus.google.com/101584889282878921052/posts/d5EeDSoHe5u“Impossible Sphere” by Alexey Ermushevhttps://plus.google.com/101584889282878921052/posts/J2yUMw6YASqBeethoven, high on 2014-05-12 05:07:06489214129229CC G+
Bakerson, LLC287This Circle is Amazing! If you want more likes, shares, and +1's, you will want to join and add this circle! To be added to this circle of Super Engagers simply +1, reshare, and comment!! You will be added to the next go around soon. Boost your social status quickly!2014-05-01 15:52:48479121014CC G+
Krzysztof Skomra5,314*PEOPLE WHO SAY "THANK YOU"  This circle is to show appreciation to the who said thanks to my last circle#sharedcircle #publiccircleshare   #circleshare   #circleoftheday #circleshares   #circlesharing   #circlesshare   #publicsharedcircle #publicsharedcircles   #sharedcircleoftheday #sharedcircleoftheweek #sharedcircles   #sharedpubliccircle #todayspublicsharedcircle #todayssharedcircle   #publiccircle #circle   #circles   #awesome #awesomeness #awesomepeople #shareyourcircle   #bestengagers #followers   #followback #paulaawesomecircle   #awesomecircles #paulateshima #topsharedcircle #topsharedcircle   #myseoissocial #besocial   #socializethesocial   #trust #circles #shar2014-04-19 06:31:05377139CC G+
Krzysztof Skomra5,314*PEOPLE WHO SAY "THANK YOU"  This circle is to show appreciation to the who said thanks to my last circle#sharedcircle #publiccircleshare   #circleshare   #circleoftheday #circleshares   #circlesharing   #circlesshare   #publicsharedcircle #publicsharedcircles   #sharedcircleoftheday #sharedcircleoftheweek #sharedcircles   #sharedpubliccircle #todayspublicsharedcircle #todayssharedcircle   #publiccircle #circle   #circles   #awesome #awesomeness #awesomepeople #shareyourcircle   #bestengagers #followers   #followback #paulaawesomecircle   #awesomecircles #paulateshima #topsharedcircle #topsharedcircle   #myseoissocial #besocial   #socializethesocial   #trust #circles #shar2014-04-19 06:30:35377116CC G+
Krzysztof Skomra5,314*PEOPLE WHO SAY "THANK YOU"  This circle is to show appreciation to the who said thanks to my last circle#sharedcircle #publiccircleshare   #circleshare   #circleoftheday #circleshares   #circlesharing   #circlesshare   #publicsharedcircle #publicsharedcircles   #sharedcircleoftheday #sharedcircleoftheweek #sharedcircles   #sharedpubliccircle #todayspublicsharedcircle #todayssharedcircle   #publiccircle #circle   #circles   #awesome #awesomeness #awesomepeople #shareyourcircle   #bestengagers #followers   #followback #paulaawesomecircle   #awesomecircles #paulateshima #topsharedcircle #topsharedcircle   #myseoissocial #besocial   #socializethesocial   #trust #circles #shar2014-04-19 06:29:49377335CC G+
Krzysztof Skomra5,314*PEOPLE WHO SAY "THANK YOU"  This circle is to show appreciation to the who said thanks to my last circle#sharedcircle #publiccircleshare   #circleshare   #circleoftheday #circleshares   #circlesharing   #circlesshare   #publicsharedcircle #publicsharedcircles   #sharedcircleoftheday #sharedcircleoftheweek #sharedcircles   #sharedpubliccircle #todayspublicsharedcircle #todayssharedcircle   #publiccircle #circle   #circles   #awesome #awesomeness #awesomepeople #shareyourcircle   #bestengagers #followers   #followback #paulaawesomecircle   #awesomecircles #paulateshima #topsharedcircle #topsharedcircle   #myseoissocial #besocial   #socializethesocial   #trust #circles #shar2014-04-19 06:29:03377157CC G+
Krzysztof Skomra5,201PEOPLE WHO SAY "THANK YOU"  This circle is to show appreciation to the who said thanks to my last circle#sharedcircle #publiccircleshare   #circleshare   #circleoftheday #circleshares   #circlesharing   #circlesshare   #publicsharedcircle #publicsharedcircles   #sharedcircleoftheday #sharedcircleoftheweek #sharedcircles   #sharedpubliccircle #todayspublicsharedcircle #todayssharedcircle   #publiccircle #circle   #circles   #awesome #awesomeness #awesomepeople #shareyourcircle   #bestengagers #followers   #followback #paulaawesomecircle   #awesomecircles #paulateshima #topsharedcircle #topsharedcircle   #myseoissocial #besocial   #socializethesocial   #trust #circles #sharedcircle 2014-04-15 11:37:45501006CC G+
Krzysztof Skomra5,201PEOPLE WHO SAY "THANK YOU"  This circle is to show appreciation to the who said thanks to my last circle#sharedcircle #publiccircleshare   #circleshare   #circleoftheday #circleshares   #circlesharing   #circlesshare   #publicsharedcircle #publicsharedcircles   #sharedcircleoftheday #sharedcircleoftheweek #sharedcircles   #sharedpubliccircle #todayspublicsharedcircle #todayssharedcircle   #publiccircle #circle   #circles   #awesome #awesomeness #awesomepeople #shareyourcircle   #bestengagers #followers   #followback #paulaawesomecircle   #awesomecircles #paulateshima #topsharedcircle #topsharedcircle   #myseoissocial #besocial   #socializethesocial   #trust #circles #sharedcircle 2014-04-15 11:36:23501012CC G+
Krzysztof Skomra5,201PEOPLE WHO SAY "THANK YOU"  This circle is to show appreciation to the who said thanks to my last circle#sharedcircle #publiccircleshare   #circleshare   #circleoftheday #circleshares   #circlesharing   #circlesshare   #publicsharedcircle #publicsharedcircles   #sharedcircleoftheday #sharedcircleoftheweek #sharedcircles   #sharedpubliccircle #todayspublicsharedcircle #todayssharedcircle   #publiccircle #circle   #circles   #awesome #awesomeness #awesomepeople #shareyourcircle   #bestengagers #followers   #followback #paulaawesomecircle   #awesomecircles #paulateshima #topsharedcircle #topsharedcircle   #myseoissocial #besocial   #socializethesocial   #trust #circles #sharedcircl2014-04-15 11:35:35501011CC G+
Julek Maciejewski0PEOPLE WHO SAY "THANK YOU"  This circle is to show appreciation to the 411  who said thanks to my last circle, and 88 new #thankyou members entering this circle for the first time. All of these people I observed over the last week taking a second to say "thanks". I was so pleased, I created a circle of 500 of you. I am amazed every day what a fun group of people have been accumulating here on Google+. I continue to be impressed with quality, the professionalism,  and the sincerity of everyone I am meeting. This circle is for YOU  (Click on this #thankyoumagic to see my other 2014 circles) #Circlemagic #Magiccircle   PLEASE VISIT the "The Magic of Circles" hosted by +Circle Magic Each day I am gathering the most active Circles I can find. Circles are #Magic , and if you love them, they will love you back.   PLEASE SHARE A #CIRCLE  Do you want to Grow your ? Get started now, add or share a Circle and watch your  grow.  Sharing circles benefits everyone, Sharing circles helps you by getting you added to their next circle and it helps the "Circle Master" by getting them recognized and promoted as active circle distributors. The more shares he/she gets THIS WEEK the more people that follow you NEXT WEEK.THE MAGIC OF CIRCLEShttps://plus.google.com/u/1/b/103678492966360900254/communities/110533309056060602888SPECIAL THANK YOU FROM +Circle Magic  - I just wanted to take a second to thank all the best of the best circle promoters, who probably mostly go un-noticed, but without them, the success of the circle sharing would be much more challenging. These SPECIAL people have all dropped by my community "The Magic of Circles" and shared someone else's circle. #TIPHAT to .....+Logan Lynn Roberts+Michael Q Todd+Sandra Deichmann...SPECIAL THANK YOU TO THE CIRCLE MASTERS - I cannot forget you either. without your  thankless hard work, building, maintaining, auditing, promoting these lists in the first place, none of us would have anything to promote.+Selected Circles 2014...Here are some of the most amazing circles I have seen released in the last seven days, each of these amazing people have worked really hard to deliver a specialize list just for you+Chad Hart...FAVOR TO ASK - As if all of you are not already doing TOO much work already. I was  hoping to ask, that when you drop of your circles each day, that you take an extra  minute to SHARE a a couple other peoples circles too. My team tries to give each and every circle between 7-12 shares to every circle dropped off in my community "The Magic of Circles" but as we become more and more successful we find we are getting  20-30 new circles listed each day, and it is getting harder and harder to keep up with everyone, and already I am starting to have to pick and choose which circles I  can afford to run #Empireavenue   missions on to get that extra 5-6 shares on the most active  circles..I know we are all doing this for free, with no real idea of why we are doing this,  except that it feels li2014-04-14 01:08:56501016CC G+
Julek Maciejewski0PEOPLE WHO SAY "THANK YOU"  This circle is to show appreciation to the 411  who said thanks to my last circle, and 88 new #thankyou members entering this circle for the first time. All of these people I observed over the last week taking a second to say "thanks". I was so pleased, I created a circle of 500 of you. I am amazed every day what a fun group of people have been accumulating here on Google+. I continue to be impressed with quality, the professionalism,  and the sincerity of everyone I am meeting. This circle is for YOU  (Click on this #thankyoumagic to see my other 2014 circles) #Circlemagic #Magiccircle   2014-04-14 01:05:48501112CC G+
Circle Connection570The Mix it Up Circle! #circleconnection  2014-04-10 20:22:45481723035CC G+
Richard Green62,178Engagers Showcase Circle, March 29, 2014If you received a notification, it means that you are included in my Engagers Showcase Circle. “Showcase” means that you are invited to leave a comment (on the original post) with a link to one of your own posts, which ideally should be one of your best recent posts.This circle consists of people who have engaged with one of my recent posts in the form of +1s, comments and reshares. My most recent post will be included next time.Everyone mentioned below is also included in the circle.Happy Pi Day!https://plus.google.com/101584889282878921052/posts/74oomcTuJoVSierpinski sponge (reshared from +David Roberts)https://plus.google.com/101584889282878921052/posts/ZKUreVJfWxoCloud Gate (reshared from +Christian Cable)https://plus.google.com/101584889282878921052/posts/XGRNqbbBjgEContinued fractionshttps://plus.google.com/101584889282878921052/posts/2mbZvUrewmCFood mapshttps://plus.google.com/101584889282878921052/posts/BKMgJ6WzfiyNeptune's Lament (reshared from +Paul Haworth)https://plus.google.com/101584889282878921052/posts/1AHZMatxm8JEscher's “Ascending and Descending”... in Legohttps://plus.google.com/101584889282878921052/posts/9XJsanAguNCDead Horse Point State Park (reshared from +Tom Malloy)https://plus.google.com/101584889282878921052/posts/edKVZ8NqAW4It's the Chicken from Hell! (reshared from +Chad Haney)https://plus.google.com/101584889282878921052/posts/2tc9WchRABJDerangements, or how everyone got the wrong homework backhttps://plus.google.com/101584889282878921052/posts/Bjb3CvDYBwxSnowy La Sal Mountains (reshared from +Tom Malloy)https://plus.google.com/101584889282878921052/posts/8tiW4gbzVrXMultimove chess2014-03-29 04:30:56482209163233CC G+
Bob Mulholland20,590Haven't done a  #FollowFriday  in a while. Beam these mofos into your Circles , Scotty!Nothin' but a buncha  #StarTrek  nerds in here.... #SharedCircles  2014-03-07 20:06:14486519CC G+
Artur M.35,611circle of people, with active life position in Google+2014-01-19 04:03:28438251674CC G+
Richard Green52,056Engagers Showcase Circle, January 9, 2014If you received a notification, it means that you are included in my Engagers Showcase Circle. “Showcase” means that you are invited to leave a comment (on the original post) with a link to one of your own posts, which ideally should be one of your best recent posts.This circle consists of people who have engaged with one of my recent posts in the form of +1s, comments and reshares. I waited too long to share the circle, so I ran out of room. As a consequence, several of my recent posts will be included next time instead.Everyone mentioned below is also included in the circle.50,000 followershttps://plus.google.com/101584889282878921052/posts/CXAHuH8epQaHyperbolic honeycombs (reshared from +Roice Nelson)https://plus.google.com/101584889282878921052/posts/XkTecGK6CghMarie Antoinette: Let Them Eat Niphttps://plus.google.com/101584889282878921052/posts/hu9YeJxPVPmMy daughter jugglinghttps://plus.google.com/101584889282878921052/posts/F38QyMXs7YDBridge photography (reshared from +Eric Larson)https://plus.google.com/101584889282878921052/posts/XQsEw9CtLjSWhite-throated Kingfisher (reshared from +Anuradha Goyal)https://plus.google.com/101584889282878921052/posts/H6zMhGj3aS5What's up with 163?https://plus.google.com/101584889282878921052/posts/7enyPxZW3RBSeascape (reshared from +Paul Haworth)https://plus.google.com/101584889282878921052/posts/3XxHeKz61wcLittlewood's Law of Miracleshttps://plus.google.com/101584889282878921052/posts/gLmKu3vPXhsKnot theorists of the world untie!https://plus.google.com/101584889282878921052/posts/HLmx56CSPDEMelted crayon artwork (reshared from +Laura Ockel)https://plus.google.com/101584889282878921052/posts/FkeBeRvtnRR5-dimensional hypercubehttps://plus.google.com/101584889282878921052/posts/9soBKs4TtRmAs alwa2014-01-09 22:16:33499193142240CC G+
Richard Green50,191Engagers Showcase Circle, December 27 2013If you received a notification, it means that you are included in my Engagers Showcase Circle. “Showcase” means that you are invited to leave a comment (on the original post) with a link to one of your own posts, which ideally should be one of your best recent posts.This circle consists of people who have engaged with one of my recent posts in the form of +1s, comments and reshares. I skipped two of the posts below because they attracted low-quality engagement, but I'm listing them here for completeness.Everyone mentioned below is also included in the circle.Seven cylinders a-touchinghttps://plus.google.com/101584889282878921052/posts/FGZHF7kqaWkLeaves in Water (reshared from +Marjolein Caniels)https://plus.google.com/101584889282878921052/posts/bQvdz7yL82FElf on the Shelf (on a Reindeer)https://plus.google.com/101584889282878921052/posts/DvXFqZ89andIridescent Cloudshttps://plus.google.com/101584889282878921052/posts/S2izLcENvjnSpear Lodge Manhttps://plus.google.com/101584889282878921052/posts/DUWKF4CG3XHLaser Christmas decorationshttps://plus.google.com/101584889282878921052/posts/B7ngNnfdQ6bRadial Normals (by +Patrick Honner) https://plus.google.com/101584889282878921052/posts/34zwPWe3cD2Rainbow photography (reshared from +James Wheeler)https://plus.google.com/101584889282878921052/posts/Ph8JSPXWAEnCornwall seascape painting (reshared from +Paul Haworth) https://plus.google.com/101584889282878921052/posts/BypBhhkPzMcMulticultural Santa (reshared from +Mike Stay)https://plus.google.com/101584889282878921052/posts/Uk9AreT7eC5Temari ballshttps://plus.google.com/101584889282878921052/posts/E5UibQyB1rjThe Eagle Catcherhttps://plus.google.com/101584889282878921052/posts/BXayNs16RdKChristmas lights in Boulder2013-12-27 07:02:36454179146234CC G+
Chill Ideaz Jay Beek Rocksuperstar0Another round of #topengagers  !(Be sure to click READ MORE, it is important if you want to be included in this circle next time)These people shareThese people +1These people create original contentThese people make G+ BetterIf you add this circle, you will, without a doubt, see your engagement soar through the roof.  Guaranteed.  If you were notified, you guessed it, you are already in.To be included in the NEXT top engagers circle this week is easier than ever.1.) Follow me2.) Share this post3.) Keep engaging#sharedcircle   #sharedcircles   #sharecircle   #publiccircle   #publiccircles   #publicsharedcircles   #topengagers   #engagers   #snowballcircle   #snowball   #circles   #circleshare   #circlemasters   #circlemaster   #circlequeen   #crazycircles   #circlehub   #morefollowers #ghosttown 2013-11-25 00:30:29405006CC G+
Chill Ideaz Jay Beek Rocksuperstar0Another round of #topengagers  !(Be sure to click READ MORE, it is important if you want to be included in this circle next time)These people shareThese people +1These people create original contentThese people make G+ BetterIf you add this circle, you will, without a doubt, see your engagement soar through the roof.  Guaranteed.  If you were notified, you guessed it, you are already in.To be included in the NEXT top engagers circle this week is easier than ever.1.) Follow me2.) Share this post3.) Keep engaging#sharedcircle   #sharedcircles   #sharecircle   #publiccircle   #publiccircles   #publicsharedcircles   #topengagers   #engagers   #snowballcircle   #snowball   #circles   #circleshare   #circlemasters   #circlemaster   #circlequeen   #crazycircles   #circlehub   #morefollowers #ghosttown 2013-11-24 16:58:13405007CC G+
Chill Ideaz Jay Beek Rocksuperstar0Another round of #topengagers  !(Be sure to click READ MORE, it is important if you want to be included in this circle next time)These people shareThese people +1These people create original contentThese people make G+ BetterIf you add this circle, you will, without a doubt, see your engagement soar through the roof.  Guaranteed.  If you were notified, you guessed it, you are already in.To be included in the NEXT top engagers circle this week is easier than ever.1.) Follow me2.) Share this post3.) Keep engaging#sharedcircle   #sharedcircles   #sharecircle   #publiccircle   #publiccircles   #publicsharedcircles   #topengagers   #engagers   #snowballcircle   #snowball   #circles   #circleshare   #circlemasters   #circlemaster   #circlequeen   #crazycircles   #circlehub   #morefollowers #ghosttown 2013-11-24 08:00:39405105CC G+
Chill Ideaz Jay Beek Rocksuperstar0#sharedcircle   #sharedcircles   #sharecircle   #publiccircle   #publiccircles   #publicsharedcircles   #topengagers   #engagers   #snowballcircle   #snowball   #circles   #circleshare   #circlemasters   #circlemaster   #circlequeen   #crazycircles   #circlehub   #morefollowers #ghosttown2013-11-24 06:33:32405005CC G+
Chill Ideaz Jay Beek Rocksuperstar0This group will follow back !#sharedcircle   #sharedcircles   #sharecircle   #publiccircle   #publiccircles   #publicsharedcircles   #topengagers   #engagers   #snowballcircle   #snowball   #circles   #circleshare   #circlemasters   #circlemaster   #circlequeen   #crazycircles   #circlehub   #morefollowers #ghosttown2013-11-24 01:22:28405104CC G+
Chill Ideaz Jay Beek Rocksuperstar0Here's the latest update of my Engagers circle. The last version of this circle was close to full, so I started it again from scratch. This circle includes people who have recently engaged with one of my posts in the form of +1s, comments and public reshares.I might have missed some people because of limitations of the Google+ interface. Fortunately, the next release of +Circloscope on June 28 is likely to include new features that make circles like this one much easier to create.I've included 100 guest members in this circle, taken from my Favourites circle, which I haven't shared in a while.Like my previous circle share, this is a Showcase circle! What this means is that everyone is invited to leave a comment on (the original post of) this circle share containing a link to one of your own posts. Ideally, this should be something that you posted recently and that you are particularly pleased with. (Don't post spam though; I will delete it.)2013-11-24 00:22:24405014CC G+
Silvio De Rossi3,801It's dance time! #saturdaynight  Circle! :DThis is my first #sharedcircle of #topengagers, a group of interesting people who share unique and original content.What are you waiting to add them to your circles? :)To be included in my shares (#sharedcircle), be so kind to:1) Do +1 t the post2) Comment the post and specify your "category" (ex: fashion, photography, seo, social media marketing)3) Include the circle among your circles4) Share the circle (include yourself)5) Smile to life, sun in sunshine.Special thanks my dear #friends and #followers:+Raffaele Romeo Arena  +Tancredi Matranga +Alessandro Folghera +Christine DeGraff +Viktor Mulin +Cesare Riccardo Have a good life!#topsharedcircle   #facciamolastoria   #leonardo   #deroplus   #circleoftheday   #sharedcircle   #topsharedcircle   #sharedcircleoftheday   #myseoissocial   #besocial   #socializethesocial  #trust #circles  #circleshare  #sharedcircle   2013-10-26 19:28:02457531238CC G+
Raffaele Romeo Arena5,311Welcome my dear #friends and #follower this is #thursdaycircle #topengagers  This circle is very important because it's composed of many important peolple, that often #interact with me and our community.You remember that #social  is   #sharedlife  and #follow is #friendship  . And so:-include me in your circles-create a large network-shared the circle (include yourself)-add +1 to the post-interact will allow you to enter the great circle that soon will share-happy life and sun is sunshine.Special thanks, to my #friends  and #followers  :+Alessandro Folghera +Mario Falcetti +Cesare Riccardo +Edith Kukla +Dominique Keller +Viktor Mulin +Silvio De Rossi +Tancredi Matranga +Tazein Mirza Saad +Fashion Circles #circles   #circleshare   #sharedcircle 2013-10-24 09:20:30459623468CC G+
Circle Construct is for communication561A little room to add yourself. Please public share, because if you are not in this circle, that is how you will get included into future circles somewhere. 2013-10-22 08:23:1946613833CC G+
Refurio Anachro1,560Mochizuki club circle Here's everyone who showed interest (posted) when Shinichi Mochizuki announced he had proof for the abc- conjecture. It's been great fun to read the impressions from back then.I have seen especially interesting posts by +John Baez, who gave very accessible first fragmentary impressions. Just search for his name and "mochizuki" and don't forget to read the comments!Also, i urge you to look at +lieven lebruyn's profile, who may be the one who got deepest into explaining it. And look: Colored, hand drawn diagrams! He's been posting MinuteMochizuki on his blog until mid of june and i think he'll be back!http://matrix.cmi.ua.ac.be/ For more here's the polymath page which, among many other interesting links, lists quite a reaction here on google+. +Jordan Ellenberg +Timothy Gowers +Terence Tao  also made it into this circle.http://michaelnielsen.org/polymath1/index.php?title=ABC_conjectureAs for where matters stand, it may be that Mochizuki is currently giving private lectures to Go Yamashita, a colleague, who might be inclined to do the travelling to explain it to others. Or so... that's what this blog post by Caroline Chen suggests:http://projectwordsworth.com/the-paradox-of-the-proof/Minhyong Kim, a friend of Mochizuki at Oxford, has been posting on mathoverflow an early attempt to give some overview from a closer vantage point:http://mathoverflow.net/questions/106560/philosophy-behind-mochizukis-work-on-the-abc-conjectureAnd, as i must say, i stole the following taglist from +Rusty Ferguson's latest circle share. You wrote some appealing stuff, your tags must be good:https://plus.google.com/112078832938393562132/posts/WvqYjBrKiir #sharedcircles   #publicsharedcircles   #circleshare   #sharedpublicricle   #circlesharing   #circle   2013-10-18 00:17:00125145CC G+
Richard Green32,670Engagers Showcase Circle, October 16 2013If you received a notification, it means that you are included in my Engagers Showcase Circle. “Showcase” means that you are invited to leave a comment (on the original post) with a link to one of your own posts, which ideally should be one of your best recent posts.This circle consists of people who have engaged with one of my recent posts in the form of +1s, comments and reshares. In the last two weeks, I discussed mathematical aspects of the art of M.C. Escher, as well as the fractal known as the Sierpinski triangle. I also posted about a sign with a typo on it, and a set of tea mugs for the kind of people who would be annoyed by such a mistake. I posted some original photography; one of my photo posts got into What's Hot, so I skipped over it when compiling this circle. I also reshared posts by +John Baez, +Arnold Hayes, +Jason Hill, and +Bo Insogna, all of whom are included in the circle.Google's persistent domain name bug has meant that I wasn't able to include everyone I wanted to in this circle. The bug is now even worse than before, and has stripped certain people out of all of my circles because of my attempt to add them to this one! I hope they fix this soon, because it's really annoying.As always, reshares of this circle are appreciated, and I look forward to seeing everyone's links. Thanks for reading my posts!2013-10-16 17:57:37418247155237CC G+
Raffaele Romeo Arena4,418#mondaysharedcircle in your #circle #seocircle #fashioncircle This #circle includes important followers to affirm a strong #community getting bigger. Join the community and shareTo be included in my shares (#sharedcircle), be so kind to:1 - Do +1 t the post2 - Comment the post and specify your "category" (job or interest)  Ex: Fashion, SEO, Companies, Social Media Marketing, Sailing, Photography, Bloggers/Writers, Web graphics and design, Italy, Artists, Sport, Finance/Economy ...3 - Include the circle among your circles4 - Share the circle (include yourself)If you come accross Google error messages, incorporating my circles, please provide me the error, I'm classifying these errors. Have a wonderful Monday and all week; and a better popularityMost important: Keep yourself updated, enjoy the Shared Circles Hellenic Alliance, you can share your shared circles inside the upcoming Community:https://plus.google.com/communities/112552559573595396104Special thaks to my friend and special follower:+Alessandro Folghera+Viktor Mulin+Fashion Circles+Scott Buehler+Sam Stormborn Ormandy+Владимир Самсонов+Ludovic Moreeuw+Dominique Keller+Tancredi Matranga+Silvio De Rossi+Edith Kukla2013-10-14 20:44:30460211238CC G+
Raffaele Romeo Arena3,803Astonishing #topengagers   Happy  #Tuesday my #friends , and you are welcome in my #tuesdaycircle A nice group of people who I found to share and comment my posts, and have as a goal to grow our #community.And so, after difficult day on #Monday we are to enjoy on Tuesday in #fashionstyle To be included in my shares (#sharedcircle), be so kind to:1 - Do +1 t the post2 - Comment the post and specify your "category" (job or interest)      (ex: fashion, photography, seo, social media marketing)3 - include the circle among your circles4 - share the circle (include yourself)5 - Plus and share the new important #fashionprofile https://plus.google.com/u/0/b/101905178080519621345/101905178080519621345/posts5 - smile to life, sun in sunshine.Thanks to all of you who are part of my circles and those who will be part of, in particular, I thank my #friends and #followers :+Alessandro Folghera+Alfredo Torres+Dirk Talamasca+Viktor Mulin+Cesare Riccardo+Mario Falcetti+Владимир Самсонов+Dominique KellerHave a wonderful weekend and increasing your #popularity and your #circles#topsharedcircle   2013-10-08 08:07:37463571860CC G+
Circle Construct is for communication561To You, When you are not comfortable with circles here is exactly what to do....1. Name the Circle and save the #circle .2. Give the circle creator credit #circleconstruct   3. Give credit to who shared the circle with you #circleconstruct   4. Add yourself to the circle. 5. Share the circle public, all your circles, or specific people who would      benefit from the people in the circle. 6. Say thank you in the stream. (comments)7. Let me know if you don’t wish to be in shared circles, we have          circles marked for that here so you can still receive page member  information.#circleconstruct  says you are welcome in advance.... #queenpld   #circleconstruct   #vipcirclemember    #highnumbers   #samepeople   #everycircle  2013-09-29 10:08:244681835CC G+
Richard Green27,236Engagers Showcase Circle, September 21 2013If you received a notification, it means that you are included in my Engagers Showcase Circle. “Showcase” means that you are invited to leave a comment (on the original post) with a link to one of your own posts, which ideally should be one of your best recent posts.This circle consists of people who have engaged with one of my recent posts in the form of +1s, comments and reshares. This week, I posted about the union-closed sets conjecture in mathematics, and I shared some of my original photography and some artwork from my daughter. I also reshared posts by +Paul Haworth, +Tiffany Lykins, +Jeni Ong, +Pauline Taylor and +Rupert Wood. I ran out of room on this circle because I waited too long to share it, so I excluded some people who didn't have me in their circles. However, everyone who reshared the last version of the circle should be included, provided that they have a profile picture. I did not include the engagers on my two most recent posts, but I will include them next time. I apologise to +Azure Tackert and +Eng UNG, who are supposed to be in this circle, but Google will not let me circle them back because of the annoying domain restriction bug.As always, reshares of this circle are appreciated, and I look forward to seeing everyone's links. Thanks for reading my posts!2013-09-21 16:59:27473241169249CC G+
Raffaele Romeo Arena2,188Welcome in my #weekendcircle .You remember that #social  is  #sharedlife  and #follow is #friendship  . And so:-include me in your circles-create a large network-shared the circle (include yourself)-add +1 to the post-happy lifeSpecial thanks, to my #friends  and #followers  :+Alessandro Folghera +Mario Falcetti +Cesare Riccardo  #circles   #circleshare  #sharedcircle #circlesharing   #follower #socialnetworking   #social   #followme   #follow4followback  2013-09-13 17:59:23468472555CC G+
Richard Green26,219Engagers Showcase Circle, September 13 2013If you received a notification, it means that you are included in my Engagers Showcase Circle. “Showcase” means that you are invited to leave a comment (on the original post) with a link to one of your own posts, which ideally should be one of your best recent posts.This circle consists of people who have engaged with one of my recent posts in the form of +1s, comments and reshares.This week, I have been mostly posting about: Ramsey theory in mathematics; oddly comprehensible sentences; the wave/particle nature of light; and the mathematics of electrical networks. I've also posted some original photography and reshared posts from +Marjolein Caniels, +AyJay Schibig and +Debashish Samaddar.As always, reshares of this circle are appreciated, and I look forward to seeing everyone's links. Thanks for reading my posts!2013-09-13 15:31:32467212117222CC G+
Raffaele Romeo Arena991#happycircleWelcome   in my #sharedcircles  in #wednesday and happy #sharedweek  Special thanks to +Yaiza Pozo Vara +Mario Falcetti +Alessandro Folghera You remember that #social  is #sharedlife  and #follow  is #friendship And so:-Include me in your circles-create a large network-share the circle (include yourself)-add +1 to the post-happy life#Wednesdaysharedcircle   #topsharedcircle   #circleoftheday   #sharedcircle #trustinme  #circlesharing   #circleshare        #circles        #circleoftheday   #sharedpubliccircles     #sharedcircles    #share  #vipsnowballcircle #sharedcircleoftheday        #sharewithyou        #circlefriday   #circlethursday  #followme     #followers #followback #circle #g2013-08-21 13:32:27446632681CC G+
Kai Saffron14,954Mathematician +Richard Green's shared circle of highly engaged Plussers!  Consider adding to liven up your stream-  Remember: "nothing ventured, nothing gained". #SharedCircles   #GooglePlus   #GhostTown   2013-08-07 16:37:49446582266CC G+
Leo Walsh3,691Richard Green originally shared:Engagers Showcase Circle, August 5 2013 If you received a notification, it means that you are included in my Engagers Showcase Circle. “Showcase” means that you are invited to leave a comment (on the original post) with a link to one of your own posts, which ideally should be one of your best recent posts.This circle consists of people who have engaged with one of my recent posts in the form of +1s, comments and reshares. I may have missed some people due to limitations of the G+ interface, but as usual, everyone who reshared last week's version of the circle has been included this time.As always, reshares are appreciated. And, if you have been, thanks for reading my posts!2013-08-06 00:51:27447521360CC G+
Richard Green20,938Engagers Showcase Circle, August 5 2013 If you received a notification, it means that you are included in my Engagers Showcase Circle. “Showcase” means that you are invited to leave a comment (on the original post) with a link to one of your own posts, which ideally should be one of your best recent posts.This circle consists of people who have engaged with one of my recent posts in the form of +1s, comments and reshares. I may have missed some people due to limitations of the G+ interface, but as usual, everyone who reshared last week's version of the circle has been included this time.As always, reshares are appreciated. And, if you have been, thanks for reading my posts!2013-08-05 23:36:22446267123229CC G+
Michael Q Todd37,249A circle of active engagersHave a great weekend hanging out with these people on Google Plus! #circleshare #circlesharing #circles  2013-08-02 21:35:0746914268170CC G+
Christy Sandhoff12,031Here's a great fresh circle started by +Daniel Mihai Popescu. It's called Showcase Circle.  This circle will help your attract some engaging people to your circles . Follow the simple steps below:Daniel Mihai Popescu originally shared:I have to name this fresh circle Showcase, because it's based on +Richard Green's recently shared "showcase engagers" circle plus my Invincible, of course. I liked his idea, to let you promote yourself if you feel in the mood, so I go further and mention that any sort of link is welcomed (except links to adult sites or affiliate links of any kind, Amazon, whatever, you know exactly what I'm talking about), not only links to google+ posts.It has a round number, and I saw some very nice engagement too!You'll receive a notification as much as I hate to send it."Based" doesn't mean "identical", but merely inspired. I have noticed in any shared circle, especially in my friends' shared circles that at least 100 or more are already in my circles. So it's not a big deal anymore to assume a circle paternity without being considered a plagiarist, not for me, anyway. I'm not at all annoyed when someone adds a circle pro bono and shares it without mentioning my name. Sometimes is better to not do it. It's just networking and I can understand that as long as the sharer is not annoying. But my dear friends and future friends, I put some soul in my circles, and I like to share them after they "stabilized", because they are my humble homage to you!Already showcased are the people on the circle's cover, as you see, that's a happy coincidence because I never look out on how to arrange it. There are a lot of things I don't know yet :). I'm too blunt sometimes, I can hurt easily by showing a lack of flexibility on human flaws. It's not my intention. I don't want to hurt anybody, when expressing my opinion on a comment. Sometimes I'm wrong, which is only human. I'll admit it with no remorse, because it's just fair, but I have to know myself I'm wrong. I have to be conscious of it, I'm not going to show mea culpa with any superficial "open mouth" who attends to put me down!This is a way to show my appreciation for +Richard Green, +Cesare Riccardo, +Scott Buehler, +Ludovic Moreeuw, +Marlo Angelo Tito, +Jasmina Brozović, +Linda Dee, +Dirk Talamasca, +Steven Krohn, +Jan Schellenberger, +Katherine Vucicevic, +Mark HELM, +Robert van Koesveld, +César Bustíos Benites, +Laurent Jean Philippe, +Zbynek Kysela, +Jack C Crawford, +kirthika M, +Morgan Abbou, +Tazein Mirza Saad, +Miguel Ricardo, +Andreas Levi, +Randy Culler, +Michael Bennett, +AyJay Schibig, +Jean-Marc Luna, +Rinus Bakker,  +Adriana Popovici, and many more who know themselves better than my memory helps me now, and do the spine of all my public circles!2013-07-09 03:18:45334481658CC G+
Steven Krohn3,647Here's a great fresh circle started by +Daniel Mihai Popescu. It's called Showcase Circle.  This circle will help your attract some engaging people to your circles . Follow the simple steps below:Daniel Mihai Popescu originally shared:I have to name this fresh circle Showcase, because it's based on +Richard Green's recently shared "showcase engagers" circle plus my Invincible, of course. I liked his idea, to let you promote yourself if you feel in the mood, so I go further and mention that any sort of link is welcomed (except links to adult sites or affiliate links of any kind, Amazon, whatever, you know exactly what I'm talking about), not only links to google+ posts.It has a round number, and I saw some very nice engagement too!You'll receive a notification as much as I hate to send it."Based" doesn't mean "identical", but merely inspired. I have noticed in any shared circle, especially in my friends' shared circles that at least 100 or more are already in my circles. So it's not a big deal anymore to assume a circle paternity without being considered a plagiarist, not for me, anyway. I'm not at all annoyed when someone adds a circle pro bono and shares it without mentioning my name. Sometimes is better to not do it. It's just networking and I can understand that as long as the sharer is not annoying. But my dear friends and future friends, I put some soul in my circles, and I like to share them after they "stabilized", because they are my humble homage to you!Already showcased are the people on the circle's cover, as you see, that's a happy coincidence because I never look out on how to arrange it. There are a lot of things I don't know yet :). I'm too blunt sometimes, I can hurt easily by showing a lack of flexibility on human flaws. It's not my intention. I don't want to hurt anybody, when expressing my opinion on a comment. Sometimes I'm wrong, which is only human. I'll admit it with no remorse, because it's just fair, but I have to know myself I'm wrong. I have to be conscious of it, I'm not going to show mea culpa with any superficial "open mouth" who attends to put me down!This is a way to show my appreciation for +Richard Green, +Cesare Riccardo, +Scott Buehler, +Ludovic Moreeuw, +Marlo Angelo Tito, +Jasmina Brozović, +Linda Dee, +Dirk Talamasca, +Steven Krohn, +Jan Schellenberger, +Katherine Vucicevic, +Mark HELM, +Robert van Koesveld, +César Bustíos Benites, +Laurent Jean Philippe, +Zbynek Kysela, +Jack C Crawford, +kirthika M, +Morgan Abbou, +Tazein Mirza Saad, +Miguel Ricardo, +Andreas Levi, +Randy Culler, +Michael Bennett, +AyJay Schibig, +Jean-Marc Luna, +Rinus Bakker,  +Adriana Popovici, and many more who know themselves better than my memory helps me now, and do the spine of all my public circles!2013-07-08 20:23:30333411955CC G+
Daniel Mihai Popescu6,546I have to name this fresh circle Showcase, because it's based on +Richard Green's recently shared "showcase engagers" circle plus my Invincible, of course. I liked his idea, to let you promote yourself if you feel in the mood, so I go further and mention that any sort of link is welcomed (except links to adult sites or affiliate links of any kind, Amazon, whatever, you know exactly what I'm talking about), not only links to google+ posts.It has a round number, and I saw some very nice engagement too!You'll receive a notification as much as I hate to send it."Based" doesn't mean "identical", but merely inspired. I have noticed in any shared circle, especially in my friends' shared circles that at least 100 or more are already in my circles. So it's not a big deal anymore to assume a circle paternity without being considered a plagiarist, not for me, anyway. I'm not at all annoyed when someone adds a circle pro bono and shares it without mentioning my name. Sometimes is better to not do it. It's just networking and I can understand that as long as the sharer is not annoying. But my dear friends and future friends, I put some soul in my circles, and I like to share them after they "stabilized", because they are my humble homage to you!Already showcased are the people on the circle's cover, as you see, that's a happy coincidence because I never look out on how to arrange it. There are a lot of things I don't know yet :). I'm too blunt sometimes, I can hurt easily by showing a lack of flexibility on human flaws. It's not my intention. I don't want to hurt anybody, when expressing my opinion on a comment. Sometimes I'm wrong, which is only human. I'll admit it with no remorse, because it's just fair, but I have to know myself I'm wrong. I have to be conscious of it, I'm not going to show mea culpa with any superficial "open mouth" who attends to put me down!This is a way to show my appreciation for +Richard Green, +Cesare Riccardo, +Scott Buehler, +Ludovic Moreeuw, +Marlo Angelo Tito, +Jasmina Brozović, +Linda Dee, +Dirk Talamasca, +2013-07-07 19:19:58333933572CC G+
Richard Green17,707Here's my updated Engagers Showcase Circle. You may have received a notification; if you did, it means you are in the circle, and you may be in the circle even if you didn't receive one."Showcase" means that you are invited to post a comment (on the original post) with a link to one of your own posts, which ideally should be one of your best recent posts.This circle consists of people who have recently engaged with one of my posts in the form of +1s, comments and public reshares. I might have missed some people because of limitations of the Google+ interface.Thanks for reading my posts! Thanks to you, each of my last 43 consecutive public posts has scored over twenty +1s. (Do I win anything for that, Google?)2013-07-06 04:43:5234716353116CC G+

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Top posts in the last 50 posts

Most comments: 19

2014-08-22 21:10:06 (19 comments, 2 reshares, 18 +1s)

Czy nie można zrezygnować z tej maniery okraszania zaniepokojenia przymiotnikiem w rodzaju "głębokie", "najgłębsze" itd. Biorąc pod uwagę możliwości stopniowania przymiotników, dyplomaci i rządy, które im płacą tkwią w pułapce - po kilku dniach kryzysu brakuje już możliwości wyrażenia jeszcze większego zaniepokojenia niż ostatnio. Sądzę, że może to wywoływać mylne wrażenie, że zaniepokojenie uległo stabilizacji i już się nie zmienia.
sądzę, że dyplomacja powinna zaadoptować - idąc za językiem młodzieży - sposób stopniowania wzięty z stosowanego w nauce sposobu tworzenia jednostek wyższego rzędu. Tj. Można by mówić, kiedy w jakimś kraju inny wywołuje niepokoje, że jesteśmy zaniepokojeni, kiedy płaci tamtejszym terrorystom, że jesteśmy megazaniepokojeni,, kiedy dostarcza broń i przerzuca żołnierzy, że gigazaniepokojeni,przy otwartej wojnie lub kiedy ktoś wjeżdża w cudze granice... more »

Most reshares: 3

posted image

2014-05-19 07:26:20 (6 comments, 3 reshares, 23 +1s)

Are you ready to play? Credit http://www.commitstrip.com/en/2014/05/16/roulette-russe-2/?nc

#linux   #unix   #bash   #russianroulette   #humor  

Most plusones: 38

2014-06-04 07:00:34 (19 comments, 2 reshares, 38 +1s)

Czasem aż żałuję, że "komunizm się skończył" w 1989. Nie dlatego, że tęsknię. Dlatego, że jego doświadczenie, a więc i doświadczenie jego końca i tego co było potem jest niedostępne  wielu ludziom, którym znam. I nie bardzo mam siłę, a może nie chce mi sie tylko tłumaczyć co i jak chłopcom przed 30-tką, po studiach z niemal obowiązkowym semestrem gdzieś za granicą, budujacym już własne domy lub kupującym właśnie mieszkania, jeżdżącym niezłymi samochodami na dobre wakacje, nie znającym cenzury, wszechogarniajacej szarości, kolejek, ograniczeń paszportowych i masy  drobnych kontrybucji i ześwinień jakich od czasu do czasu oczekiwano od człowieka by mógł  załatwić najprostszą sprawę w byłym systemie,  jak bardzo pierdolą kiedy tak sobie siedzą w kuchni na kawie i pierdolą jak im źle i jak ich niewolą. I, że za takie pierdolenie - choćakurat wtedy miałoby znacznie więcej sensu - mieliby niegdyś ... more »

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2014-08-29 07:02:57 (2 comments, 0 reshares, 4 +1s)

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2014-08-28 10:05:30 (4 comments, 0 reshares, 8 +1s)

China claims to have moved a step closer to creating a supersonic, supercavitating submarine that could travel from Shanghai to San Francisco in less than two hours.

From: http://www.scmp.com/news/china/article/1580226/shanghai-san-francisco-100-minutes-chinese-supersonic-submarine

Water produces more friction, or drag, on an object than air, which means conventional submarines cannot travel as fast as an aircraft. However, during the cold war, the Soviet military developed a technology called supercavitation, which involves enveloping a submerged vessel inside an air bubble to avoid problems caused by water drag.

A Soviet supercavitation torpedo called Shakval was able to reach a speed of 230 mph or more - much faster than any other conventional torpedoes. In theory, a supercavitating vessel could reach the speed of sound underwater, or about 3600 mph, which would... more »

China claims to have moved a step closer to creating a supersonic, supercavitating submarine that could travel from Shanghai to San Francisco in less than two hours.

From: http://www.scmp.com/news/china/article/1580226/shanghai-san-francisco-100-minutes-chinese-supersonic-submarine

Water produces more friction, or drag, on an object than air, which means conventional submarines cannot travel as fast as an aircraft. However, during the cold war, the Soviet military developed a technology called supercavitation, which involves enveloping a submerged vessel inside an air bubble to avoid problems caused by water drag.

A Soviet supercavitation torpedo called Shakval was able to reach a speed of 230 mph or more - much faster than any other conventional torpedoes. In theory, a supercavitating vessel could reach the speed of sound underwater, or about 3600 mph, which would reduce the journey time for a transatlantic underwater cruise to less than an hour, and for a transpacific journey to about 100 minutes, according to a report by California Institute of Technology in 2001.

However, supercavitation technology has faced two major problems. First, the submerged vessel has needed to be launched at high speeds, approaching 60 mph, to generate and maintain the air bubble.

Second, it is extremely difficult - if not impossible - to steer the vessel using conventional mechanisms, such as a rudder, which are inside the bubble without any direct contact with water. ___

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2014-08-28 07:14:31 (0 comments, 0 reshares, 25 +1s)

Why we should use the Imperial System.

Why we should use the Imperial System.___

2014-08-28 06:19:02 (0 comments, 0 reshares, 10 +1s)

Usiłuję dostać się z Podgórza do pracy. Tragedia. Jeśli chodzi o OPR(*) to są dziś w Europie trzy konkurujące o prymat miasta. Donieck, Ługańsk i Kraków. Dwie pierwsze załatwiły rakiety Grad a trzecie prezydent M.

(*) Ogólny Poziom R..a

Usiłuję dostać się z Podgórza do pracy. Tragedia. Jeśli chodzi o OPR(*) to są dziś w Europie trzy konkurujące o prymat miasta. Donieck, Ługańsk i Kraków. Dwie pierwsze załatwiły rakiety Grad a trzecie prezydent M.

(*) Ogólny Poziom R..a___

2014-08-27 12:21:13 (14 comments, 0 reshares, 12 +1s)

Właśnie sie zorientowałem, że wczoraj, rozmawiając z kolegą mówiliśmy obaj o ulicy Konopnickiej, mając na myśli ulicę Orzeszkowej.
To mi przypomniało zabawną rozmowę sprzed lat z panem taksówkarzem na temat oddziału pewnego banku czynnego, wg strony internetowej, w sobotę, który to oddział, jak podpowiadała mi pamięć tego co przeczytałem, był na ulicy Okulickiego, na której - twierdził pan taksówkarz - żadnego oddziału owego banku nie ma. Oczywiście był, ale na Bora-Komorowskiego w Krokusie i o ten oddział chodziło. Ciekawe, czy gdyby ulice były u nas numerowane zamiast nazywane, rzadziej bym się mylił w ten sposób. Sądzę, że nie. W końu 23 łatwo pomylić z 32 albo np 18 z 24 (bo jedno to 2*3^2 a drugie 3*2^3) 

Właśnie sie zorientowałem, że wczoraj, rozmawiając z kolegą mówiliśmy obaj o ulicy Konopnickiej, mając na myśli ulicę Orzeszkowej.
To mi przypomniało zabawną rozmowę sprzed lat z panem taksówkarzem na temat oddziału pewnego banku czynnego, wg strony internetowej, w sobotę, który to oddział, jak podpowiadała mi pamięć tego co przeczytałem, był na ulicy Okulickiego, na której - twierdził pan taksówkarz - żadnego oddziału owego banku nie ma. Oczywiście był, ale na Bora-Komorowskiego w Krokusie i o ten oddział chodziło. Ciekawe, czy gdyby ulice były u nas numerowane zamiast nazywane, rzadziej bym się mylił w ten sposób. Sądzę, że nie. W końu 23 łatwo pomylić z 32 albo np 18 z 24 (bo jedno to 2*3^2 a drugie 3*2^3) ___

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2014-08-26 07:28:22 (0 comments, 1 reshares, 4 +1s)

___

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2014-08-25 07:51:26 (2 comments, 1 reshares, 3 +1s)

Co czytamy dziś w gazecie? Ano czytamy:

http://wyborcza.pl/1,75478,16524340,To_nie_kabaret__to_luk_prawicy_w_stolicy.html#BoxSlotIMT

Najbardziej podoba mi się ten Król Duch i OMC premier techniczny, profesor Gliński. Profesor podkreślę.

Wczoraj wieczorem, ponieważ kiedyś przeczytałem, że Putin cytuje i powołuje się często na Bierdiajewa, zacząłem czytać "Ideę rosyjską" tegoż Bierdiajewa, licząc, że coś zrozumiem z tego co wyrabiają Rosjanie. Chyba rozumiem.  Jeżeli ktoś serio myśli o polityce w kategoriach wziętych z tej książki, czy szerzej, z podobnego nurtu myśli, w zasadzie kwalifikuje się do łagodnej obserwacji psychiatrycznej. A zdaje sie, że oni tak serio - w księgarni naukowej na Podwalu natknąłem się na książke niejakiej Tatiany Graczowej " Święta Ruś przeciwko Chazarii". Podobnoż pani Tatiana pracujew jakimś "ośrodku studiów strategicznyc... more »

Co czytamy dziś w gazecie? Ano czytamy:

http://wyborcza.pl/1,75478,16524340,To_nie_kabaret__to_luk_prawicy_w_stolicy.html#BoxSlotIMT

Najbardziej podoba mi się ten Król Duch i OMC premier techniczny, profesor Gliński. Profesor podkreślę.

Wczoraj wieczorem, ponieważ kiedyś przeczytałem, że Putin cytuje i powołuje się często na Bierdiajewa, zacząłem czytać "Ideę rosyjską" tegoż Bierdiajewa, licząc, że coś zrozumiem z tego co wyrabiają Rosjanie. Chyba rozumiem.  Jeżeli ktoś serio myśli o polityce w kategoriach wziętych z tej książki, czy szerzej, z podobnego nurtu myśli, w zasadzie kwalifikuje się do łagodnej obserwacji psychiatrycznej. A zdaje sie, że oni tak serio - w księgarni naukowej na Podwalu natknąłem się na książke niejakiej Tatiany Graczowej " Święta Ruś przeciwko Chazarii". Podobnoż pani Tatiana pracuje w jakimś "ośrodku studiów strategicznych" Rosji  czy coś podobnego. Pięknie. Pięknie, że pracuje, pięknie że pisze i pięknie, naprawdę kurwa pięknie, że sprzedaje swoje książki w księgarniach,  naukowych przypominam, w naszym kraju.  Czy tylko mnie się wydaje, że  pogrążamy się w szaleństwie?

Łuk, Król Duch z profesorem Glińskim i żoliborsko-inteligenckim zapleczem intelektualnym komponują mi się z tym  wyjątkowo ładnie. Jak awers i rewers tej samej monety. Czy "Księgi narodu i pielgrzymstwa polskiego" są na liście lektur? Nie? To czuję, że wkrótce będą.___

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2014-08-25 07:28:59 (0 comments, 0 reshares, 3 +1s)

Why do we have these particles in our Universe?

We understand a lot about physics - and that makes the remaining mysteries even more tantalizing!  For example: why are quarks so much like leptons?

Elementary particles come in two main kinds: the ones that carry forces (gauge bosons) and the ones that make up matter (quarks and leptons).   There's also at least one more... but never mind!  Today's puzzle is about quarks and leptons.  You'll see from the chart that they look sort of similar.   But why?

Maybe a lightning review of particle physics will help, in case you skipped that class in high school.  Most of the matter you see is made of electrons, protons and neutrons.   Protons and neutrons are made of up and down quarks, held together by the strong force.  But electrons are 'leptons', which means they don'tfeel the s... more »

Why do we have these particles in our Universe?

We understand a lot about physics - and that makes the remaining mysteries even more tantalizing!  For example: why are quarks so much like leptons?

Elementary particles come in two main kinds: the ones that carry forces (gauge bosons) and the ones that make up matter (quarks and leptons).   There's also at least one more... but never mind!  Today's puzzle is about quarks and leptons.  You'll see from the chart that they look sort of similar.   But why?

Maybe a lightning review of particle physics will help, in case you skipped that class in high school.  Most of the matter you see is made of electrons, protons and neutrons.   Protons and neutrons are made of up and down quarks, held together by the strong force.  But electrons are 'leptons', which means they don't feel the strong force.

Up quarks, down quarks and electrons - those are 3 of the 4 particles in 'generation 1'.  The 4th is the electron neutrino.  It's also a lepton - it's doesn't feel the strong force.  But it's also has no electric charge!  So, it's very hard to detect - it whizzes easily through ordinary matter.   But we have detected it, and we actually know a  huge amount about it.

We also know that besides 'generation 1' there's a 'generation 2' and 'generation 3' of quarks and leptons.  We're pretty sure there are only 3 - people have done experiments that show there can't be more different kinds of neutrinos, unless they are very heavy, or different from all the rest in some other way.  We have no idea why there are only 3 generations.

But our puzzle today is: why do quarks and leptons come in generations at all?    So let's just think about generation 1.

We know that the up and down quark are closely connected.   We also know that the electron and electron neutrino are closely connected.  For example, you can collide an electron and an up quark and have them turn into an electron neutrino and a down quark!  We understand this stuff very well, actually: there's a detailed mathematical theory of it, and it works great.

But there are other things that seem mysterious.   The up quark has charge 2/3, the down quark has charge -1/3, the electron has charge -1 and the electron neutrino has charge 0.   Quarks also come in 3 different kinds, called 'colors' - they change colors when they interact with the strong force.   Leptons have no color.

Are all the 3's in the last paragraph a coincidence?   It seems not.  For example, if quarks came in 4 colors, but had the charges they do now, all hell would break loose!   I could explain why, but that's not my goal today.

My goal is just to say this: there's a theory called the Pati-Salam model that says leptons are secretly just a funny kind of quarks - a 'fourth color of quark'.  This theory unifies quarks and leptons.  And this theory also explains why quarks have charges like 2/3 and -1/3.

This theory has been around since 1974.  It has some problems.  If it didn't, we'd probably all believe it by now!  It's very hard to find theories of elementary particles that fit all the data we have; if you just make up stuff, you'll almost surely run into problems.  But the Pati-Salam model is pretty good, it's not completely ruled out by experiments... and last year something interesting happened.

A famous mathematician named Alain Connes has an approach to physics based on noncommutative geometry, which replaces our usual picture of spacetime by something that's more like algebra than geometry.  His theory predicted the wrong mass for the Higgs boson - that's the extra particle I hinted at near the start of this story.  But last year he came out with a new improved version, that doesn't suffer from this problem.  And it turns out to be a lot like the Pati-Salam model!

What's interesting is how he gets it.  In his earlier work, he laid down a bunch of mathematical axioms, and one of the simplest theories that obeys all these axioms turned out to be very similar to the Standard Model - our usual theory of particles.  

But now, he and some other guys have noticed that if you drop one of the axioms, something like the Pati-Salam model is also allowed.  Moreoever, you can get a Higgs boson with the right mass!

I wish I understood this better.  Alas, I don't have much time for this stuff anymore!  Here is his paper:

• Ali H. Chamseddine, Alain Connes and Walter D. van Suijlekom, Beyond the spectral standard model: emergence of Pati-Salam unification, http://arxiv.org/abs/1304.8050.

and here is an intro to the Pati-Salam model, mainly good for mathematicians and physicists:

• John Baez and John Huerta, The algebra of grand unified theories, http://math.ucr.edu/~huerta/guts/guts.html

Here's the abstract of Connes' paper, which gives a flavor of what he's doing... at least if you know enough jargon:

Abstract. The assumption that space-time is a noncommutative space formed as a product of a continuous four dimensional manifold times a finite space predicts, almost uniquely, the Standard Model with all its fermions, gauge fields, Higgs field and their representations. A strong restriction on the noncommutative space results from the first order condition which came from the requirement that the Dirac operator is a differential operator of order one. Without this restriction, invariance under inner automorphisms requires the inner fluctuations of the Dirac operator to contain a quadratic piece expressed in terms of the linear part. We apply the classification of product noncommutative spaces without the first order condition and show that this leads immediately to a Pati-Salam SU(2)_R x SU(2)_L x SU(4) type model which unifies leptons and quarks in four colors. Besides the gauge fields, there are 16 fermions in the (2,2,4) representation, fundamental Higgs fields in the (2,2,1), (2,1,4) and (1,1,1+15) representations. Depending on the precise form of the order one condition or not there are additional Higgs fields which are either composite depending on the fundamental Higgs fields listed above, or are fundamental themselves. These additional Higgs fields break spontaneously the Pati-Salam symmetries at high energies to those of the Standard Model.

#spnetwork arXiv:1304.8050 #mustread___

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2014-08-24 14:49:49 (0 comments, 0 reshares, 4 +1s)

The arithmetic derivative, the Goldbach conjecture, and the twin prime conjecture

Can you differentiate a number and get a nonzero answer? You can't with the usual kind of differentiation, but you can with the arithmetic derivative.

The basic version of the arithmetic derivative takes positive integers as inputs. The only requirements are the two shown in the picture: (1) the derivative of a prime number is 1, and (2) the product rule holds. It can be proved fairly easily that there is only one function satisfying these requirements. This function is known as the arithmetic derivative, and a formula for it is given at the bottom of the picture in terms of the factorization of n into prime powers. The table shows the values of the derivatives of the first few positive integers; these values will always be other nonnegative integers.

The first person to... more »

The arithmetic derivative, the Goldbach conjecture, and the twin prime conjecture

Can you differentiate a number and get a nonzero answer? You can't with the usual kind of differentiation, but you can with the arithmetic derivative.

The basic version of the arithmetic derivative takes positive integers as inputs. The only requirements are the two shown in the picture: (1) the derivative of a prime number is 1, and (2) the product rule holds. It can be proved fairly easily that there is only one function satisfying these requirements. This function is known as the arithmetic derivative, and a formula for it is given at the bottom of the picture in terms of the factorization of n into prime powers. The table shows the values of the derivatives of the first few positive integers; these values will always be other nonnegative integers.

The first person to investigate the arithmetic derivative systematically seems to have been E.J. Barbeau in 1961, although the function had previously appeared in 1950 as a question on a Putnam Prize competition. The first known reference to the function seems to have been in a conference talk in June 1911 by the Spanish mathematician José Mingot Shelly.

The arithmetic derivative has a number of interesting properties, as well as close connections to some famous problems in number theory. It also allows for the study of differential equations involving natural numbers, using the arithmetic derivative in place of the usual derivative. For example, the only solution of the differential equation n'=0 is n=1, and the only solution of n'=1 is for n to be prime. Both of these results are easy exercises.

An excellent introduction to this area is the 2003 paper by Victor Ufnarovski and Bo Åhlander entitled How to Differentiate a Number, which builds on Barbeau's work. The paper contains the above two results but proves many others and offers several conjectures. Some of these conjectures relate to famous open problems in number theory, such as the Goldbach conjecture and the twin prime conjecture.

The Goldbach conjecture is the hypothesis that every even integer greater than 2 can be expressed as the sum of two primes. Ufnarovski and Åhlander conjecture that the (arithmetic) differential equation n'=2b has a positive integer solution for any natural number b > 1; in other words, that any even number greater than 2 shows up as the arithmetic derivative of some natural number. They point out that the Goldbach conjecture implies this conjecture; this is because if 2b is the sum of the primes p and q, then the arithmetic derivative of the number n=pq is 2b. (Note that this is a one-way implication, and it does not mean that a proof of this differential equation identity would prove the Goldbach conjecture.)

The twin prime conjecture is the hypothesis that there are infinitely many primes p such that p+2 is also prime. This is still an open problem, although there have been breakthroughs towards proving this in the last year or so, thanks to work of Yitang Zhang, Terence Tao and others. Ufnarovski and Åhlander conjecture that the differential equation n''=1 has infinitely many solutions, and they point out that the twin prime conjecture would imply this. The reason for this is that if p and p+2 are both primes, then n=2p is a solution to the equation n''=1. (As in the case of the other conjecture, this is a one-way implication.)

There are many generalizations of the arithmetic derivative, some of which are discussed in the paper. For example, the derivative can be extended to negative numbers by changing the sign, and to rational numbers by requiring the derivative to satisfy the quotient rule. It can also be extended to unique factorization domains (UFDs), which are algebraic systems in which elements can be factorized into primes in an essentially unique way. An example of a UFD other than the integers is the Gaussian integers, which is the set of all complex numbers of the form a+bi where a and b are integers.

Relevant links

Wikipedia on the arithmetic derivative: http://en.wikipedia.org/wiki/Arithmetic_derivative

The On-Line Encyclopedia of Integer Sequences on the arithmetic derivative: https://oeis.org/A003415

Ufnarovski and Åhlander's paper: https://cs.uwaterloo.ca/journals/JIS/VOL6/Ufnarovski/ufnarovski.html

A paper by +Mike Stay on a version of the arithmetic derivative for finite fields: https://cs.uwaterloo.ca/journals/JIS/VOL8/Stay/stay44.html

The Goldbach conjecture: http://en.wikipedia.org/wiki/Goldbach_conjecture

The twin prime conjecture: http://en.wikipedia.org/wiki/Twin_primes_conjecture

(Found via Evelyn Lamb on Twitter.)

#mathematics #scienceeveryday___

2014-08-22 21:10:06 (19 comments, 2 reshares, 18 +1s)

Czy nie można zrezygnować z tej maniery okraszania zaniepokojenia przymiotnikiem w rodzaju "głębokie", "najgłębsze" itd. Biorąc pod uwagę możliwości stopniowania przymiotników, dyplomaci i rządy, które im płacą tkwią w pułapce - po kilku dniach kryzysu brakuje już możliwości wyrażenia jeszcze większego zaniepokojenia niż ostatnio. Sądzę, że może to wywoływać mylne wrażenie, że zaniepokojenie uległo stabilizacji i już się nie zmienia.
sądzę, że dyplomacja powinna zaadoptować - idąc za językiem młodzieży - sposób stopniowania wzięty z stosowanego w nauce sposobu tworzenia jednostek wyższego rzędu. Tj. Można by mówić, kiedy w jakimś kraju inny wywołuje niepokoje, że jesteśmy zaniepokojeni, kiedy płaci tamtejszym terrorystom, że jesteśmy megazaniepokojeni,, kiedy dostarcza broń i przerzuca żołnierzy, że gigazaniepokojeni,przy otwartej wojnie lub kiedy ktoś wjeżdża w cudze granice... more »

Czy nie można zrezygnować z tej maniery okraszania zaniepokojenia przymiotnikiem w rodzaju "głębokie", "najgłębsze" itd. Biorąc pod uwagę możliwości stopniowania przymiotników, dyplomaci i rządy, które im płacą tkwią w pułapce - po kilku dniach kryzysu brakuje już możliwości wyrażenia jeszcze większego zaniepokojenia niż ostatnio. Sądzę, że może to wywoływać mylne wrażenie, że zaniepokojenie uległo stabilizacji i już się nie zmienia.
sądzę, że dyplomacja powinna zaadoptować - idąc za językiem młodzieży - sposób stopniowania wzięty z stosowanego w nauce sposobu tworzenia jednostek wyższego rzędu. Tj. Można by mówić, kiedy w jakimś kraju inny wywołuje niepokoje, że jesteśmy zaniepokojeni, kiedy płaci tamtejszym terrorystom, że jesteśmy megazaniepokojeni,, kiedy dostarcza broń i przerzuca żołnierzy, że gigazaniepokojeni, przy otwartej wojnie lub kiedy ktoś wjeżdża w cudze granice jak w swoje. można wyrazić terazaniepokojenie, przy okupacji pentazaniepokojenie itd. To się też kończy w jakimś momencie. Wtedy należy przejść na współczynnik numeryczny wyrażony jako potęga dziesiątki. Np, "jesteśmy 10^24-zaniepokojeni" kiedy państwo zostanie wcielone w inne bo tak sobie pożeracz wymyślił.___

2014-08-18 16:52:43 (3 comments, 0 reshares, 10 +1s)

Czytam sobie z przyjemnością "Matematykę przy kominku" Michała Szurka. Zbiór esejów i "małych form" na tematy około matematyczne. Część znana mi z dawnych lektur różnych pism w rodzaju "Młodego Technika" dawno temu, ale wg. słów autora opracowana na nowo. Lektura miła, sympatyczna, kulturalna - a przez to "dawno temu" trochę sentymentalna.
Trochę mnie wszak denerwuje, że znalazłem już dwa błędy we wzorach i oznaczeniach i kilka przeoczeń redaktorskich w tekście. O ile mogę odpuścić to co w tekście, zwłaszcza, że wystąpiły niekrytycznych fragmentach, o tyle do tych "matematycznych" stosunek mam bardziej skomplikowany. Otóż młoda osoba, lub niekoniecznie młoda ale sięgająca po jeden z tekstów by poszerzyć swoje horyzonty może być poważnie skonfundowana i, w przypadku gdy dodatkowo jest niepewna swoichzdolności zrozumienia uznać po prostu, że ni... more »

Czytam sobie z przyjemnością "Matematykę przy kominku" Michała Szurka. Zbiór esejów i "małych form" na tematy około matematyczne. Część znana mi z dawnych lektur różnych pism w rodzaju "Młodego Technika" dawno temu, ale wg. słów autora opracowana na nowo. Lektura miła, sympatyczna, kulturalna - a przez to "dawno temu" trochę sentymentalna.
Trochę mnie wszak denerwuje, że znalazłem już dwa błędy we wzorach i oznaczeniach i kilka przeoczeń redaktorskich w tekście. O ile mogę odpuścić to co w tekście, zwłaszcza, że wystąpiły niekrytycznych fragmentach, o tyle do tych "matematycznych" stosunek mam bardziej skomplikowany. Otóż młoda osoba, lub niekoniecznie młoda ale sięgająca po jeden z tekstów by poszerzyć swoje horyzonty może być poważnie skonfundowana i, w przypadku gdy dodatkowo jest niepewna swoich zdolności zrozumienia uznać po prostu, że nie rozumie dlaczego tak, bo nie ma "talentu do matematyki". W tekście popularyzującym (ale wciąż matematycznym) błąd (zwykle przecież w takim tekście jakiś głupi, typograficzny czy jakaś zamiana liter np.) to poważny grzech. W tym przypadku bardziej redaktora merytorycznego niż autora.
W ogólności, w świecie literatury matematycznej dla zawodowców, nie jest to jakaś straszna sprawa. Wytrawny i wierzący w swoje siły czytelnik zwykle zauważy, że coś jest nie tak i albo od razu skoryguje w umyśle, albo "odłoży sobie na stosie", że coś jest nie tak, pójdzie dalej i zwykle wszystko się wkrótce wyjaśnia. No chyba, że to luka wymagająca większej pracy by ją wypełnić, albo prawdziwy Błąd.
W każdym razie książkę Michała Szurka szczerze polecam, mimo tych kilku grzechów redaktorskich. Świetna lektura dla lubiących myśleć i lubiących czytać lubiących myśleć i pisać.___

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2014-08-14 18:36:17 (0 comments, 0 reshares, 9 +1s)

“Maurits, stop picking at it. You'll only make it worse.” by David Swart

Maurits was the first name of the Dutch artist M.C. Escher (1898–1972), and this 2006 picture by David Swart is based on Escher's pictures Rind and Bond of Union.

The tiling shown in the picture is a Penrose tiling. It is possible to tile the entire plane with tiles like these, in such a way that the tiling has fivefold rotational symmetry, but no translational symmetry. Penrose tilings are named after the mathematical physicist Roger Penrose. Penrose and his father, Lionel Penrose, devised the physically impossible Penrose stairs, which feature in Escher's picture Ascending and Descending.

David Swart's Flickr page (https://www.flickr.com/photos/dmswart) contains many other excellent Escherified photographs. If you look at thecomme... more »

“Maurits, stop picking at it. You'll only make it worse.” by David Swart

Maurits was the first name of the Dutch artist M.C. Escher (1898–1972), and this 2006 picture by David Swart is based on Escher's pictures Rind and Bond of Union.

The tiling shown in the picture is a Penrose tiling. It is possible to tile the entire plane with tiles like these, in such a way that the tiling has fivefold rotational symmetry, but no translational symmetry. Penrose tilings are named after the mathematical physicist Roger Penrose. Penrose and his father, Lionel Penrose, devised the physically impossible Penrose stairs, which feature in Escher's picture Ascending and Descending.

David Swart's Flickr page (https://www.flickr.com/photos/dmswart) contains many other excellent Escherified photographs. If you look at the comments section for this picture, you will find a brief explanation of how he created this effect.

Relevant links

Rind by M.C. Escher: http://www.mcescher.com/gallery/most-popular/rind/

Bond of Union by M.C. Escher: http://www.mcescher.com/gallery/recognition-success/bond-of-union/

Ascending and Descending by M.C. Escher: http://en.wikipedia.org/wiki/Ascending_and_Descending

Penrose tilings: http://en.wikipedia.org/wiki/Penrose_tiling

Here's a post by me with more details on the mathematics of Penrose tilings: https://plus.google.com/101584889282878921052/posts/7PZPSLaFkAx

#art #artist #escher #mathematics___

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2014-08-13 07:13:31 (0 comments, 0 reshares, 5 +1s)

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2014-08-06 18:00:46 (1 comments, 0 reshares, 9 +1s)

Did You Know: The History of Numerals: Indian Numerals

Did You Know: The History of Numerals: Indian Numerals___

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2014-07-31 20:10:59 (7 comments, 2 reshares, 29 +1s)

If we only had an easy way to put IP layer on It....

___If we only had an easy way to put IP layer on It....

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2014-07-26 22:09:35 (1 comments, 1 reshares, 1 +1s)

Z cyklu: co robić po matematyce.

Z cyklu: co robić po matematyce.___

2014-07-24 15:02:10 (4 comments, 0 reshares, 15 +1s)

Od kiedym wrócił z urlopu w sobotę, nie było chyba dnia, by mnie w komunikacji miejskiej nie kontrolowano. Tacy się kanarinios i ich mocodawcy chytrzy na pieniądze, turystów chyba, porobili. Do dziś mi nie przeszkadzało, ale dziś grałem na telefonie i mnie ich napad z nienacka życie kosztował.

Od kiedym wrócił z urlopu w sobotę, nie było chyba dnia, by mnie w komunikacji miejskiej nie kontrolowano. Tacy się kanarinios i ich mocodawcy chytrzy na pieniądze, turystów chyba, porobili. Do dziś mi nie przeszkadzało, ale dziś grałem na telefonie i mnie ich napad z nienacka życie kosztował.___

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2014-07-21 07:44:03 (0 comments, 0 reshares, 2 +1s)

Na końcu artykułu duuużo matematyki, czyli narzędzia przekrętu.

Na końcu artykułu duuużo matematyki, czyli narzędzia przekrętu.___

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2014-07-20 21:48:42 (1 comments, 0 reshares, 8 +1s)

#mathquote

#mathquote___

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2014-07-20 10:19:02 (0 comments, 0 reshares, 2 +1s)

Ten kinds of matter

A cool discovery: substances can be divided into 10 kinds.

The basic idea is pretty simple.  Some substances have time-reversal symmetry: they would look the same, even on the atomic level, if you made a movie of them and ran it backwards.  Some don't - these are more rare, like certain superconductors made of yttrium barium copper oxide!   The substances that do have time reversal symmetry have a symmetry operator T that can square to 1 or to -1: please take my word for this, it's a quantum thing.  So, we get 3 choices, which are listed in the chart under T as 1, -1, or 0 (no time reversal symmetry).

Similarly, some substances have charge conjugation symmetry, meaning a symmetry where we switch particles and holes: places where a particle is missing.  The 'particles' here can be rather abstract things, likeph... more »

Ten kinds of matter

A cool discovery: substances can be divided into 10 kinds.

The basic idea is pretty simple.  Some substances have time-reversal symmetry: they would look the same, even on the atomic level, if you made a movie of them and ran it backwards.  Some don't - these are more rare, like certain superconductors made of yttrium barium copper oxide!   The substances that do have time reversal symmetry have a symmetry operator T that can square to 1 or to -1: please take my word for this, it's a quantum thing.  So, we get 3 choices, which are listed in the chart under T as 1, -1, or 0 (no time reversal symmetry).

Similarly, some substances have charge conjugation symmetry, meaning a symmetry where we switch particles and holes: places where a particle is missing.  The 'particles' here can be rather abstract things, like phonons - little vibrations of sound in a substance, which act like particles - or spinons - little wiggles in the spin of electrons.  Basically any sort of wave can, thanks to quantum mechanics, also act like a particle.  And sometimes we can switch particles and holes, and a substance will act the same way!

The substances that do have charge conjugation symmetry have a symmetry operator C that can square to 1 or to -1.  So again we get 3 choices, listed in the chart under C as 1, -1, or 0 (no charge conjugation symmetry).

So far we have 3 × 3 = 9 kinds of matter.  What is the tenth kind? 

Some kinds of matter don't have time reversal or charge conjugation symmetry, but they're symmetrical under the combination of time reversal and charge conjugation!  You switch particles and holes and run the movie backwards, and things look the same! 

This chart shows a 1 under the S when your matter has this combined symmetry, and 0 when it doesn't.  So, 0 0 1 is the tenth kind of matter (the second row in the chart).

This stuff was first discovered around 1997 by Altland and Zirnbauer.  But it's just the beginning of an amazing story.  Since then people have found substances called topological insulators that act like insulators in their interior but conduct electricity on their surface.   We can make 3-dimensional topological insulators, but also 2-dimensional ones (that is, thin films) and even 1-dimensional ones (wires).  And we can theorize about higher-dimensional ones, though this is mainly a mathematical game.

So we can ask which of the 10 kinds of substance can arise as topological insulators in various dimensions. And the answer is: in any particular dimension, only 5 kinds can show up. This chart shows how it works for dimensions 1 through 8.  The kinds that can't show up are labelled 0. 

(There's more information in this chart, which I'm too lazy to explain now.)

If you look at the chart, you'll see it has some nice patterns.  And it repeats after dimension 8.  In other words, dimension 9 works just like dimension 1, and so on.

There is a huge amount of cool math lurking here, and you can see some more in my blog article:

http://golem.ph.utexas.edu/category/2014/07/the_tenfold_way.html

This math is called the ten-fold way.

The chart here comes from the paper that showed only 5 kinds of topological insulator are possible in each dimension:

• Shinsei Ryu, Andreas P Schnyder, Akira Furusaki, and Andreas W. W. Ludwig,  Topological insulators and superconductors: tenfold way and dimensional hierarchy, New J. Phys. 12 (2010) 065010, http://arxiv.org/abs/0912.2157.

#spnetwork arXiv:0912.2157 #must_read #condensed_matter #topology___

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2014-07-19 19:04:33 (0 comments, 0 reshares, 1 +1s)

Znana i zabawna (choć nie tak do końca) historia.

___Znana i zabawna (choć nie tak do końca) historia.

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2014-07-15 21:03:51 (1 comments, 0 reshares, 14 +1s)

T-shirt for physicists ;- )

#scienceisneverwrong #physicists   #thatsrightisaidit  

T-shirt for physicists ;- )

#scienceisneverwrong #physicists   #thatsrightisaidit  ___

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2014-07-06 19:56:06 (0 comments, 0 reshares, 4 +1s)

___

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2014-07-05 22:51:06 (1 comments, 1 reshares, 9 +1s)

Stackable 12-sided dice

This picture by Robert Fathauer shows the stackable 12-sided dice that he designed with +Henry Segerman. Each of the dice is in the shape of a rhombic dodecahedron, which is a convex polyhedron with 12 faces. Each face has the shape of a rhombus, and is symmetric under rotation by 180 degrees. These dice stack neatly together, without gaps, because the rhombic dodecahedron has the remarkable property that it can tessellate space by translational copies of itself.

The rhombic dodecadron has the same amount of rotational symmetry as a cube or a regular octahedron. Each of the three shapes has 24 rotational symmetries, and in each case, the number of faces multiplied by the number of rotational symmetries of each face is equal to 24. Furthermore, each shape has a group of rotational symmetries that is isomorphic to the symmetric group... more »

Stackable 12-sided dice

This picture by Robert Fathauer shows the stackable 12-sided dice that he designed with +Henry Segerman. Each of the dice is in the shape of a rhombic dodecahedron, which is a convex polyhedron with 12 faces. Each face has the shape of a rhombus, and is symmetric under rotation by 180 degrees. These dice stack neatly together, without gaps, because the rhombic dodecahedron has the remarkable property that it can tessellate space by translational copies of itself.

The rhombic dodecadron has the same amount of rotational symmetry as a cube or a regular octahedron. Each of the three shapes has 24 rotational symmetries, and in each case, the number of faces multiplied by the number of rotational symmetries of each face is equal to 24. Furthermore, each shape has a group of rotational symmetries that is isomorphic to the symmetric group S4.

The obvious way to design a 12-sided die is to make it in the shape of a dodecahedron, which has 12 pentagonal faces. This does produce a more symmetrical shape, with 60 rotational symmetries, but the disadvantage is that dodecahedra cannot fit together neatly (in Euclidean space) in such a way as not to leave any gaps.

Relevant links
The dice in the picture are for sale at http://goo.gl/n3vpFm (www.mathartfun.com). The site sells many other kinds of unusual dice, including non-transitive dice.

Here's a post by me about non-transitive dice: https://plus.google.com/101584889282878921052/posts/eq9eHus2wQP. My friend +James Grime has also designed sets of non-transitive dice, and as I mentioned in my post https://plus.google.com/101584889282878921052/posts/iQy6GkfD5XP, you can buy the Grime Dice at http://mathsgear.co.uk/.

Wikipedia has some nice articles on (1) the rhombic dodecahedron, (2) the associated tessellation of Eucliean space, and (3) the symmetric group: 
http://en.wikipedia.org/wiki/Rhombic_dodecahedron
http://en.wikipedia.org/wiki/Rhombic_dodecahedral_honeycomb
http://en.wikipedia.org/wiki/Symmetric_group

#mathematics___

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2014-07-02 04:50:57 (1 comments, 1 reshares, 8 +1s)

Have We Been Interpreting Quantum Mechanics Wrong This Whole Time?
For nearly a century, “reality” has been a murky concept.

#quantumphysics   #fundamentalphysics    #philosophyofscience   #reality  

Have We Been Interpreting Quantum Mechanics Wrong This Whole Time?
For nearly a century, “reality” has been a murky concept.

#quantumphysics   #fundamentalphysics    #philosophyofscience   #reality  ___

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2014-06-29 09:27:48 (3 comments, 1 reshares, 3 +1s)

8 out of 10 jobs in the EU are created by small and medium-sized companies – but building them can be a challenge. Only 50% of start-ups survive the first five years. Read our new report on what Europe can do to nurture the next generation of great companies:

http://wef.ch/1iC0itF

8 out of 10 jobs in the EU are created by small and medium-sized companies – but building them can be a challenge. Only 50% of start-ups survive the first five years. Read our new report on what Europe can do to nurture the next generation of great companies:

http://wef.ch/1iC0itF___

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2014-06-27 21:56:08 (0 comments, 0 reshares, 7 +1s)

Mathematical Masterpieces: Making Art From Equations at the annual Bridges conference

One of my friends +Marco Garavaglia asked me to share this interesting news.

Artists use math to create works of art to rival gallery masterpieces. 
Mathematicians enthralled with unending fractals and flux patterns have been known to call math beautiful — but, increasingly, they aren't the only ones. For many artists, calculations and numerical analyses provide a rich source of ideas and methods for their creations.

The annual Bridges conference showcases the connections between art and mathematics. The conference features, among other things, a juried art exhibition full of a staggering range of mathematically-inspired artworks, where you can see sunsets, lampshades, and more examples of the golden ratio than you can shake a shell at.

Read thefull a... more »

Mathematical Masterpieces: Making Art From Equations at the annual Bridges conference

One of my friends +Marco Garavaglia asked me to share this interesting news.

Artists use math to create works of art to rival gallery masterpieces. 
Mathematicians enthralled with unending fractals and flux patterns have been known to call math beautiful — but, increasingly, they aren't the only ones. For many artists, calculations and numerical analyses provide a rich source of ideas and methods for their creations.

The annual Bridges conference showcases the connections between art and mathematics. The conference features, among other things, a juried art exhibition full of a staggering range of mathematically-inspired artworks, where you can see sunsets, lampshades, and more examples of the golden ratio than you can shake a shell at.

Read the full article >>
http://discovermagazine.com/MathArt#.UysAZD-uTTo

This year, the conference will be held in Seoul, 14-19 August.

Did anyone partecipate in previous Bridges conferences?

Go to>>
http://bridgesmathart.org/bridges-2014/
http://bridgesmathart.org

#math #scientific_art___

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2014-06-27 13:27:28 (0 comments, 1 reshares, 6 +1s)

Gorąco polecam ten zbiór wykładów i prezentacji dotyczących komputerowo wspomaganych dowodów czy jak to tam nzawać (filmy ciekawe również "obyczajowo", niektórzy mówiący i niektórzy siedzącyna sali nie skojarzyliby się wam z "towarzystwem matematycznym"):
https://www.youtube.com/playlist?list=PL9kd4mpdvWcCUOrG5S7KrvOFDhyqnXoUj

Gorąco polecam ten zbiór wykładów i prezentacji dotyczących komputerowo wspomaganych dowodów czy jak to tam nzawać (filmy ciekawe również "obyczajowo", niektórzy mówiący i niektórzy siedzącyna sali nie skojarzyliby się wam z "towarzystwem matematycznym"):
https://www.youtube.com/playlist?list=PL9kd4mpdvWcCUOrG5S7KrvOFDhyqnXoUj___

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2014-06-22 16:34:09 (5 comments, 0 reshares, 13 +1s)

Bardzo ciekawy historyczny przyczynek do tego jak Amerykanie widzieli (widzą?) Europę. 1927 rok, szkoła lwowsko-warszawska w rozkwicie, najlepsze lata... A tu pusto.

the state of European mathematics in 1927

This map, from the Rockefeller foundation, gives us the top 3 mathematical institutes in 1927 : Goettingen, Paris and ... Rome.
The pie-charts per university show that algebra was a marginal topic then (wondering how a similar map might look today).

More details, including a link to the map of US-mathematics 1927, can be found on my new blog:
http://noncommutative.org/european-mathematics-in-1927/___Bardzo ciekawy historyczny przyczynek do tego jak Amerykanie widzieli (widzą?) Europę. 1927 rok, szkoła lwowsko-warszawska w rozkwicie, najlepsze lata... A tu pusto.

2014-06-18 06:24:14 (0 comments, 0 reshares, 15 +1s)

Uwagi historyczne w pracach i książkach matematycznych często wprowadzają coś na kształt efektu komediowego. Np.: "Twierdzenie Wilsona sformułował Waring a udowodnił Lagrange".

Uwagi historyczne w pracach i książkach matematycznych często wprowadzają coś na kształt efektu komediowego. Np.: "Twierdzenie Wilsona sformułował Waring a udowodnił Lagrange".___

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2014-06-17 10:00:58 (1 comments, 0 reshares, 8 +1s)

Bardzo ładny artykuł (nieco może nadużywajacy pewnej przenośni). I kilka tendencyjnie dobranych (ale żadną miarą  nie "sfotoszopowanych") zdjęć. http://wiadomosci.onet.pl/krakow/historia-krakowskiego-szkieletora-czyli-impotencja-po-polsku/jlmds

Bardzo ładny artykuł (nieco może nadużywajacy pewnej przenośni). I kilka tendencyjnie dobranych (ale żadną miarą  nie "sfotoszopowanych") zdjęć. http://wiadomosci.onet.pl/krakow/historia-krakowskiego-szkieletora-czyli-impotencja-po-polsku/jlmds___

2014-06-15 20:37:26 (7 comments, 0 reshares, 18 +1s)

Nie sposób nie zauważyć, że od jakiegoś czasu kwestia długości chujów kładzie się mniejszym lub większym cieniem na naszej polityce. Proponuję, by, w imię dobra demokracji, potraktować ją jak oświadczenia majątkowe czy lustracyjne i po prostu ujawniać. Dlaczego o tej, tak znaczącej, niemal rozstrzygającej o roli i znaczeniu polityka kwestii, wyborcy i obywatele mają ciągle dowiadywać się z jakichś taśm?

Nie sposób nie zauważyć, że od jakiegoś czasu kwestia długości chujów kładzie się mniejszym lub większym cieniem na naszej polityce. Proponuję, by, w imię dobra demokracji, potraktować ją jak oświadczenia majątkowe czy lustracyjne i po prostu ujawniać. Dlaczego o tej, tak znaczącej, niemal rozstrzygającej o roli i znaczeniu polityka kwestii, wyborcy i obywatele mają ciągle dowiadywać się z jakichś taśm?___

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2014-06-15 19:28:46 (1 comments, 0 reshares, 6 +1s)

Chciwość truje.

Are patent trolls really hurting #innovation? A new study by MIT's Catherine Tucker finds the harm is undeniable. http://mitsha.re/TW9QEx___Chciwość truje.

2014-06-11 09:04:24 (5 comments, 0 reshares, 23 +1s)

Wylewają się z radioodbiorników, telewizorów, komputerów wyposażonych w funkcje multimedialne itp. strumienie słów na temat wczorajszych sejmowych obrad nad zdjęciem immunitetu posłowi Kamińskiemu. Z tych wytrysków elokwencji po odfiltrowaniu wyłania mi się taki obraz, że posłowie jak zwykle nie wiedzieli o czym rozmwaiają kiedy rozmawiali. 
Rozumiem, że przedmiotem debaty miały być zarzuty o przekroczenie uprawnień. Natomiast wygląda na to, że poseł Kamiński barwnymi słowy opisał bezeceństwa państwa Kwaśniewskich co tak wstrząsnęło salą, że posłowie postanowili nie zagłębiać się w prawność działań CBA tylko stwierdzili, że wobec takiej nikczemności wolno wszystko i w zasadzie środki przedsięwzięte, jakie by nie były, są dozwolone i usprawiedliwone. 

To się nie trzyma kupy. O ile wierzę głęboko w to, że p. Kwaśniewscy mają za uszamiporażająco wiele o tyle nie widzę by implikowało to automat... more »

Wylewają się z radioodbiorników, telewizorów, komputerów wyposażonych w funkcje multimedialne itp. strumienie słów na temat wczorajszych sejmowych obrad nad zdjęciem immunitetu posłowi Kamińskiemu. Z tych wytrysków elokwencji po odfiltrowaniu wyłania mi się taki obraz, że posłowie jak zwykle nie wiedzieli o czym rozmwaiają kiedy rozmawiali. 
Rozumiem, że przedmiotem debaty miały być zarzuty o przekroczenie uprawnień. Natomiast wygląda na to, że poseł Kamiński barwnymi słowy opisał bezeceństwa państwa Kwaśniewskich co tak wstrząsnęło salą, że posłowie postanowili nie zagłębiać się w prawność działań CBA tylko stwierdzili, że wobec takiej nikczemności wolno wszystko i w zasadzie środki przedsięwzięte, jakie by nie były, są dozwolone i usprawiedliwone. 

To się nie trzyma kupy. O ile wierzę głęboko w to, że p. Kwaśniewscy mają za uszami porażająco wiele o tyle nie widzę by implikowało to automatycznie niewinność posła Kamińskiego.

Rozumiem istotę immunitetu poselskiego: w wielu sytuacjach z automatu broni posła w doraźnych kwestiach - prawo zakazuje zatrzymywać go jakiemuś stójkowemu czy w gorącej wodzie kąpanemu prokuratorowi (który np. miłuje partię opozycyjną wobec posła) pod byle pretekstem, chroni go przed doraźnym nadużyciem władzy wykonawczej czy sądowniczej.  

Ale w sytuacji kiedy jest poważny i poważnie udokumentowany zarzut powoływanie się na immunitet jest  de facto wyrażeniem braku zaufania sejmu do instytucji sądu czy prokuratury w ogóle. Słowem - tym razem sejm RP doszedł do wniosku, że prokuratura coś knuła przez lata a niezależny sąd nie jest w stanie tego zweryfikować. Logicznym krokiem byłoby zatem pociągnąć do jakiejś formy odpowiedzialnosci prokuraturę skoro uknuła spisek przeciw obywatelowi i być może poniechać działaności sądów - skoro nie są one w stanie robić tego co powinny, tj. rozpoznawać prawdę materialną, zgodność czynów z prawem i w ogóle sądzić. ___

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2014-06-09 20:59:00 (17 comments, 1 reshares, 4 +1s)

Nie ma się co śmiać z SF...

NASA’s Warp Drive Project: “Speeds” That Could Take a Spacecraft to Alpha Centauri in Two Weeks Even Though the System is 4.3 Light-Years Away, Video http://b4in.org/c4Hg

A  few months ago, physicist Harold White stunned the aeronautics world when he announced that he and his team at NASA had begun work on the development of a faster-than-light warp drive.

His proposed design, an ingenious re-imagining of an Alcubierre Drive, may eventually result in an engine that can transport a spacecraft to the nearest star in a matter of weeks — and all without violating 
 
 The idea came to White while he was considering a rather remarkable equation formulated by physicist Miguel Alcubierre. In his 1994 paper titled, “The Warp Drive: Hyper-Fast Travel Within General Relativity,”
 
Alcubierre suggested a mechanism by which space-time could be “warped” both in front of and behind a spacecraft.
 
Michio Kaku dubbed Alcubierre’s notion a “passport to the universe.” It takes advantage of a quirk in the cosmological code that allows for the expansion and contraction of space-time, and could allow for hyper-fast travel between interstellar destinations.

Essentially, the empty space behind a starship would be made to expand rapidly, pushing the craft in a forward direction — passengers would perceive it as movement despite the complete lack of acceleration.
 
White speculates that such a drive could result in “speeds” that could take a spacecraft to Alpha Centauri in a mere two weeks — even though the system is 4.3 light-years away.
 
In terms of the engine’s mechanics, a spheroid object would be placed between two regions of space-time (one expanding and one contracting).
 
A “warp bubble” would then be generated that moves space-time around the object, effectively repositioning it — the end result being faster-than-light travel without the spheroid (or spacecraft) having to move with respect to its local frame of reference.
 
“Remember, nothing locally exceeds the speed of light, but space can expand and contract at any speed,

More with video  and further illustrations  http://b4in.org/c4Hg___Nie ma się co śmiać z SF...

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2014-06-06 15:36:33 (1 comments, 1 reshares, 9 +1s)

"Our Star" by Astrophotographer Alan Friedman
"It's not the great pumpkin Charlie Brown, just a portrait of the sun in the wavelength of hydrogen alpha light."

Credit & Copyright: Astrophotographer Alan Friedman
Alan's Website: http://www.avertedimagination.com

+Alan Friedman 

#Space #Astronomy #Sun #Solar #Astrophotography #Sunspots #Flares #Atmosphere #Chromosphere #Plasma #CME

"Our Star" by Astrophotographer Alan Friedman
"It's not the great pumpkin Charlie Brown, just a portrait of the sun in the wavelength of hydrogen alpha light."

Credit & Copyright: Astrophotographer Alan Friedman
Alan's Website: http://www.avertedimagination.com

+Alan Friedman 

#Space #Astronomy #Sun #Solar #Astrophotography #Sunspots #Flares #Atmosphere #Chromosphere #Plasma #CME___

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2014-06-04 19:00:35 (0 comments, 0 reshares, 5 +1s)

Uwaga - spoiler! ;)

Here's something random and interesting: Illustrations from a 1976 Soviet edition of The Hobbit. There's something incredibly charming about these.

Indirectly via +mary Zeman.___Uwaga - spoiler! ;)

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2014-06-04 16:49:03 (16 comments, 1 reshares, 7 +1s)

A to dopiero historia!

Coś niesamowitego. Nic nie jest usprawiedliwieniem błędów w publikacjach. I to niezależnie od tego czy to jest blog, książka lub gazeta. Brak korekty to po prostu brak szacunku dla czytelników. ___A to dopiero historia!

2014-06-04 07:00:34 (19 comments, 2 reshares, 38 +1s)

Czasem aż żałuję, że "komunizm się skończył" w 1989. Nie dlatego, że tęsknię. Dlatego, że jego doświadczenie, a więc i doświadczenie jego końca i tego co było potem jest niedostępne  wielu ludziom, którym znam. I nie bardzo mam siłę, a może nie chce mi sie tylko tłumaczyć co i jak chłopcom przed 30-tką, po studiach z niemal obowiązkowym semestrem gdzieś za granicą, budujacym już własne domy lub kupującym właśnie mieszkania, jeżdżącym niezłymi samochodami na dobre wakacje, nie znającym cenzury, wszechogarniajacej szarości, kolejek, ograniczeń paszportowych i masy  drobnych kontrybucji i ześwinień jakich od czasu do czasu oczekiwano od człowieka by mógł  załatwić najprostszą sprawę w byłym systemie,  jak bardzo pierdolą kiedy tak sobie siedzą w kuchni na kawie i pierdolą jak im źle i jak ich niewolą. I, że za takie pierdolenie - choćakurat wtedy miałoby znacznie więcej sensu - mieliby niegdyś ... more »

Czasem aż żałuję, że "komunizm się skończył" w 1989. Nie dlatego, że tęsknię. Dlatego, że jego doświadczenie, a więc i doświadczenie jego końca i tego co było potem jest niedostępne  wielu ludziom, którym znam. I nie bardzo mam siłę, a może nie chce mi sie tylko tłumaczyć co i jak chłopcom przed 30-tką, po studiach z niemal obowiązkowym semestrem gdzieś za granicą, budujacym już własne domy lub kupującym właśnie mieszkania, jeżdżącym niezłymi samochodami na dobre wakacje, nie znającym cenzury, wszechogarniajacej szarości, kolejek, ograniczeń paszportowych i masy  drobnych kontrybucji i ześwinień jakich od czasu do czasu oczekiwano od człowieka by mógł  załatwić najprostszą sprawę w byłym systemie,  jak bardzo pierdolą kiedy tak sobie siedzą w kuchni na kawie i pierdolą jak im źle i jak ich niewolą. I, że za takie pierdolenie - choć akurat wtedy miałoby znacznie więcej sensu - mieliby niegdyś spore kłopoty. ___

2014-06-02 08:48:02 (0 comments, 0 reshares, 4 +1s)

W najnowszym numerze Bulletin of AMS HoTT w 50-stronnicowej pigułce (powlekanej!). Czytelnicy HoTT book powinni docenić: http://www.ams.org/journals/bull/0000-000-00/S0273-0979-2014-01456-9/S0273-0979-2014-01456-9.pdf

W najnowszym numerze Bulletin of AMS HoTT w 50-stronnicowej pigułce (powlekanej!). Czytelnicy HoTT book powinni docenić: http://www.ams.org/journals/bull/0000-000-00/S0273-0979-2014-01456-9/S0273-0979-2014-01456-9.pdf___

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2014-05-31 15:22:38 (1 comments, 1 reshares, 4 +1s)

I cannot overstate the importance of this article. It is an absolute must read for everyone. It goes beyond ideological stripes to point out the essential cognitive dissonance of the way we live.

I cannot overstate the importance of this article. It is an absolute must read for everyone. It goes beyond ideological stripes to point out the essential cognitive dissonance of the way we live.___

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2014-05-31 14:58:23 (1 comments, 0 reshares, 20 +1s)

Classical mechanics:

Classical mechanics:___

2014-05-29 18:52:17 (4 comments, 0 reshares, 12 +1s)

W sukcesie JKM, jako dawny fan, odnajduję nostalgiczną nutkę.Coś jakby powróciła moda na lekko marmurkowe spodnie "Pyramid", do łask wróciły kasety, w kinach Gere zakochiwał się w Julii Roberts a moje rówieśniczki jeszcze, z biedą bo z biedą, ale jednak podpadały pod kategorię "barely legal teens".
Cóż - ojcowie głosowali na JKM, ich dzieci głosują, a jak mu zdrowie dopisze to i może wnuki jeszcze zagłosują...

W sukcesie JKM, jako dawny fan, odnajduję nostalgiczną nutkę.Coś jakby powróciła moda na lekko marmurkowe spodnie "Pyramid", do łask wróciły kasety, w kinach Gere zakochiwał się w Julii Roberts a moje rówieśniczki jeszcze, z biedą bo z biedą, ale jednak podpadały pod kategorię "barely legal teens".
Cóż - ojcowie głosowali na JKM, ich dzieci głosują, a jak mu zdrowie dopisze to i może wnuki jeszcze zagłosują...___

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2014-05-27 12:59:40 (1 comments, 0 reshares, 7 +1s)

Jak się dowiedziałem dziś z Interfaxu i sprawdziłem na stronie Inmarsatu, opublikowano dane Inmarsatu dotyczące Lotu 370. Dane w zasadzie składają się z oznaczonych czasowo zapisów dotyczących aktualnego opóżnienia między wysłaniem o odbiorem sygnału i przesunięcia częstotliwości odebranego sygnału wzgledem częśtotliwości wzorcowej (oczywiście sprawa nie jest tak prosta o czym pouczają nas stosowne uwagi w dokumencie, brać pod uwagę należy pewne stałe przesunięcia charakteryzujące nadajniki, niestabilności oscylatorów itd.). To daje pewne pojęcie o przesunięciu doplerowskim sygnału a więc o chwilowej zmianie długości ścieżki po której poruszal się sygnał w momencie kiedy był odbierany - a zatem,  pośrednio o prędkości samego samolotu.  Z tych dwóch parametrów dających pewien wgląd w "geometrię" układu  "samolot-satelita-odbiornik" ijej zmianę w czasie można próbować wnioskować o trajekt... more »

Jak się dowiedziałem dziś z Interfaxu i sprawdziłem na stronie Inmarsatu, opublikowano dane Inmarsatu dotyczące Lotu 370. Dane w zasadzie składają się z oznaczonych czasowo zapisów dotyczących aktualnego opóżnienia między wysłaniem o odbiorem sygnału i przesunięcia częstotliwości odebranego sygnału wzgledem częśtotliwości wzorcowej (oczywiście sprawa nie jest tak prosta o czym pouczają nas stosowne uwagi w dokumencie, brać pod uwagę należy pewne stałe przesunięcia charakteryzujące nadajniki, niestabilności oscylatorów itd.). To daje pewne pojęcie o przesunięciu doplerowskim sygnału a więc o chwilowej zmianie długości ścieżki po której poruszal się sygnał w momencie kiedy był odbierany - a zatem,  pośrednio o prędkości samego samolotu.  Z tych dwóch parametrów dających pewien wgląd w "geometrię" układu  "samolot-satelita-odbiornik" i jej zmianę w czasie można próbować wnioskować o trajektorii po której poruszał się samolot. 
Przybliżone wyjaśnienie jak w tym kontekście interpretować te dane i jak korelować je dodatkowo z więzami jakie nakładają parametry techniczne samolotu (np. maksymalna prędkość) tu: 
http://www.atsb.gov.au/publications/2014/considerations-on-defining-the-search-area-mh370.aspx
Same dane dostępne są ze strony:  http://www.dca.gov.my/mainpage.html pod linkiem http://www.dca.gov.my/mainpage/MH370%20Data%20Communication%20Logs.pdf

Tak więc każdy może na własną rękę próbować ustalić dokąd i którędy doleciał samolot (choć pewnie ciężko będzie przebić w dokładności obliczenia inmarsatowców). Niezaleznie od tego  - to ciekawe zagadnienie geometryczno-fizyczno-statystyczne. ___

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2014-05-22 04:51:14 (0 comments, 1 reshares, 5 +1s)

___

2014-05-21 12:06:04 (4 comments, 0 reshares, 3 +1s)

Na razie z HoTT wynoszę taki obraz świata:
Są sposoby, na które rzeczy są równe (albo nieszczęsliwie wybraliśmy znak '=' by nazywać to czym one są dla siebie). Sposoby na które rzeczy mogą być równe, są różne, przy czym niektóre różne sposoby są sobie równe (na różne sposoby itd.). Jeżeli wiemy jak rzeczy są równe na różne sposoby wiemy coś o tym jak mogą być równe na różne sposoby inne rzeczy zbudowane z tych pierwszych. Jeśli rzeczy są równe na różne sposoby, inne rzeczy które od nich zależą też są równe, przy czym sposoby na które są równe,zależą od sposobów na jakie są równe te pierwsze rzeczy.
Póki co, mimo tej całej aparatury różnych równości i fantastycznych skutków jakie za sobą pociągają, jest jeden wyróżniony sposób bycia równym, tzn. bycia identycznym samemu ze sobą w najbardziej prostacki sposób. Całepozostałe bogactwo równości póki co (a jestem w rozdziale 2.5) jest pr... more »

Na razie z HoTT wynoszę taki obraz świata:
Są sposoby, na które rzeczy są równe (albo nieszczęsliwie wybraliśmy znak '=' by nazywać to czym one są dla siebie). Sposoby na które rzeczy mogą być równe, są różne, przy czym niektóre różne sposoby są sobie równe (na różne sposoby itd.). Jeżeli wiemy jak rzeczy są równe na różne sposoby wiemy coś o tym jak mogą być równe na różne sposoby inne rzeczy zbudowane z tych pierwszych. Jeśli rzeczy są równe na różne sposoby, inne rzeczy które od nich zależą też są równe, przy czym sposoby na które są równe,zależą od sposobów na jakie są równe te pierwsze rzeczy.
Póki co, mimo tej całej aparatury różnych równości i fantastycznych skutków jakie za sobą pociągają, jest jeden wyróżniony sposób bycia równym, tzn. bycia identycznym samemu ze sobą w najbardziej prostacki sposób. Całe pozostałe bogactwo równości póki co (a jestem w rozdziale 2.5) jest przed czytelnikiem skryte. Co niczemu nie przeszkadza, bo żeby dowodzić istnienia różnych (potencjalnie istniejących) równości wystarczy wykonać stosowne dowody dla prostackiej identycznosći i zastosować (w tym momencie już moralnie podejrzaną) zasadę indukcji dla równości.
Jak mi przez najbliższe kilka stron nie pokażą jekiegoś niebędącego identycznością mieszkańca typu (x=x) zacznę całe to HoTT uważać za coś na kształt Amber Gold. Choć możliwe, że szwindel jest tu bardziej wyrafinowany: nadciąga w rozdziale 2.10 jakiś celebrowany aksjomat uniwalencji i niewykluczne, że zamiast pokazywać elementy typu (x=x) można będzie pkazywać (jakoś...), że jest on równoważny jakiemuś bardziej konkretnemu typowi. Ale nie uprzedzam wypadków: czekam, zobaczę. ___

2014-05-19 19:37:39 (13 comments, 0 reshares, 8 +1s)

http://m.wiadomosci.gazeta.pl/wiadomosci/5,117915,15991428,Bibliotekarki_nie_sa_nudne__a_ich_zawod_jest_glamour_.html?i=0

Takie, panie dziejku, bibliotekarstwo...

http://m.wiadomosci.gazeta.pl/wiadomosci/5,117915,15991428,Bibliotekarki_nie_sa_nudne__a_ich_zawod_jest_glamour_.html?i=0

Takie, panie dziejku, bibliotekarstwo...___

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2014-05-19 07:26:20 (6 comments, 3 reshares, 23 +1s)

Are you ready to play? Credit http://www.commitstrip.com/en/2014/05/16/roulette-russe-2/?nc

#linux   #unix   #bash   #russianroulette   #humor  

Are you ready to play? Credit http://www.commitstrip.com/en/2014/05/16/roulette-russe-2/?nc

#linux   #unix   #bash   #russianroulette   #humor  ___

2014-05-17 22:00:45 (4 comments, 0 reshares, 16 +1s)

Ludzie przez sen mówią dziwne rzeczy. Np., jak przed chwilą usłyszałem, co nieco wstecznie zachęcają "pomóż mi przełożyć kolarza na konia".
HoTT book, który usiłuję czytać w ostatnich tygodniach ma rozdział ujemny drugi. Bowiem po przeczytaniu rozdziału drugiego tak mocno zapachniało mi metafizycznym i nadużyciami (w konstruktywistycznej wg. reklamy teorii!), że raz jeszcze zacząłem od początku w obawie, że nie zrozumiałem przekazu z rozdziału pierwszego. Dziś drugi raz skończyłem rozdział pierwszy i okazuje się, że nie do końca, rzeczywiście, go zrozumiałem za pierwszym razem. Czy zatem powinienem go czytać trzeci raz i, jeśli pojmę więcej, czwarty itd. aż osiągnę zbieżność i kolejne czytania nie będą pogłębiały zrozumienia? Nie! Jutro po raz drugi zaatakuję rozdział drugi. Zobaczę, czy dalej prześladować mnie będą metafizycznelęki przy czytaniu.
W każdym razie, obserwuję ze smu... more »

Ludzie przez sen mówią dziwne rzeczy. Np., jak przed chwilą usłyszałem, co nieco wstecznie zachęcają "pomóż mi przełożyć kolarza na konia".
HoTT book, który usiłuję czytać w ostatnich tygodniach ma rozdział ujemny drugi. Bowiem po przeczytaniu rozdziału drugiego tak mocno zapachniało mi metafizycznym i nadużyciami (w konstruktywistycznej wg. reklamy teorii!), że raz jeszcze zacząłem od początku w obawie, że nie zrozumiałem przekazu z rozdziału pierwszego. Dziś drugi raz skończyłem rozdział pierwszy i okazuje się, że nie do końca, rzeczywiście, go zrozumiałem za pierwszym razem. Czy zatem powinienem go czytać trzeci raz i, jeśli pojmę więcej, czwarty itd. aż osiągnę zbieżność i kolejne czytania nie będą pogłębiały zrozumienia? Nie! Jutro po raz drugi zaatakuję rozdział drugi. Zobaczę, czy dalej prześladować mnie będą metafizyczne lęki przy czytaniu.
W każdym razie, obserwuję ze smutkiem, jak z biegiem czasu zanikające: talent, bystrość, lotność umysłu zastępuję uporem i brutalną siłą. W sumie jest to coś na kształt przekładania kolarza na konia.___

2014-05-11 15:29:37 (2 comments, 0 reshares, 3 +1s)

Ciekawy tekst http://arstechnica.com/science/2014/05/scientific-computings-future-can-any-coding-language-top-a-1950s-behemoth/

Ciekawy tekst http://arstechnica.com/science/2014/05/scientific-computings-future-can-any-coding-language-top-a-1950s-behemoth/___

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