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Paul Harper has been at 1 events

HostFollowersTitleDateGuestsLinks
Chris Hadfield1,687,021That's right, ladies and gentlemen. There will be a Google+ hangout on air from the International Space Station. Learn more here: http://www.nasa.gov/home/hqnews/2013/feb/HQ_13-042_ISS_Google_Hangout.htmlSpace Station Google+ Hangout (On Air)2013-02-22 16:00:00609 

Paul Harper has been shared in 257 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
Mamy Shimomatsu0Thanks:)+Brian Mcquillan Share this circle to PUBLICShare Circle:) #topofthepeople #influencermarketing #sharedcircle #circleshare #circlethis #socialmediamarketing #socialmediastrategy #socialnetworking #circleoftheday #circleoftheweek #circleoftheday #topofthecircle #howtoenlargecircle #enlargecircle #thursdaycircle #share #weekendcircle #weekend #weekendfun #circles #circleyoushare #publiccircle #sharedcircles #addcircle #sharedpubliccircles #circleshare #publicsharedcircles #circleoftheweek #circlesharing #sharedcircle #circleshare #circle #googleplus #google #thankyou2014-12-15 08:26:12455011
Ichigo Kurosaki831Circle of awesomeness. Please followhttps://plus.google.com/u/0/b/116338847187157094371/115447032474133435721/postswhen you see the message ;)2014-12-09 02:16:58449200
Brian Mcquillan14,906Boost your visibility on Google+ - Share the circle!To be added to or stay in this Circle - Share the circleIf you received the notice you are in this circle, then well done.If you would like to be included in the next Circle Share, you only have to do these simple steps:1 - Include me in your circles2 - Share the circle (Publicly)3 - Add +1 to the post.4 - Leave a comment if you like.I will thankful if you plus and share this circle!#circles #sharedcircles #circlesharing #circle #bestcircle #bestofcircles #bestcircleshare #share #circleshare #SocialMedia #SharedPublicCircles #PublicCircle #CircleOfTheDay #followers #follow #AddCircle #Sharers #Engagers #Awesomepeople #ShareAndBeShared2014-12-04 07:32:21451001
Sharon Caroline3,867Hello my friends, good morning/evening for you all!Boost Your visibility On Google+! Add them all!Shared and be shared. :)Thank you for sharing and promoting this. :)#circleshare #sharedcircles #sharingcircles #sharedcircleoftheday2014-12-03 10:28:12501001
Becky Collins19,437Diet Circle:Circle of very #social #engagerspeople and companiesTo 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)Improve your popularity, be social be cool !Keep yourself updated, enjoy the Shared Circles Hellenic Alliance, you can share your shared circles inside the upcoming Community:https://plus.google.com/communities/112552559573595396104  #socialmedia  #media  #circles   #circleshare   #circlesharing  #circlecircle   #beckyscircle   #sharedcircles   #sharedpubliccircles  #sharedcircleoftheday  +Becky Collins ?2014-12-03 07:12:09426000
Richard Green88,785Engagers Showcase Circle, December 1, 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 the posts listed below, in the form of +1s, comments and reshares. I have not posted much in the last couple of months because I have been too busy, and so it has been a long time since the last reshare of the circle.Everyone mentioned below is also included in the circle.Millcreek Canyon Vista (reshared from +Tom Malloy)https://plus.google.com/101584889282878921052/posts/HuXLKw4GBwjAvoiding the unavoidablehttps://plus.google.com/101584889282878921052/posts/TnW3pTWt6d7Hydrangea flowershttps://plus.google.com/101584889282878921052/posts/3LDn2js6pWpMicroscopic Victorian arthttps://plus.google.com/101584889282878921052/posts/ieybEmL7tUCApproximating e using the digits 1–9https://plus.google.com/101584889282878921052/posts/W5E6HyihSuY“Vertebral 03 – Pendant Lampshade” by cordycepthttps://plus.google.com/101584889282878921052/posts/eSo9svRbLapCentred polygonal numbershttps://plus.google.com/101584889282878921052/posts/QowshFUnPZ2Reinventing the wheel: Reuleaux polygonshttps://plus.google.com/101584889282878921052/posts/gDxTM5Ko8hbSunrise at Maroon Lake (reshared from +Jason Hill)https://plus.google.com/101584889282878921052/posts/hvWMqo1HwvVSchmidt arrangementshttps://plus.google.com/101584889282878921052/posts/eM3adto6nsj“Dream Creatures” by Elido Turcohttps://plus.google.com/101584889282878921052/posts/ckjru8sN6AG“The Awakening III—Rebirth” by Luc Railhachttps://plus.google.com/101584889282878921052/posts/KyNg9DD4YnXPoincaré and topologyhttps://plus.google.com/101584889282878921052/posts/bmnd2URRAsfLytham St Annes (reshared from +Paul Haworth)https://plus.google.com/1015848892828789210522014-12-01 22:15:07443146111188
Allan watson12,311This is a circle I created a few months ago and am now sharing with you in hopes that we can all benefit and grow our online presence.  This circle rewards those who take part in interaction as seen below..  Everyone in this circle continues to add followers.  IN ORDER TO MAKE THIS WORK PLEASE FOLLOW THE INSTRUCTIONS BELOW:  1. Plus the post  2. Share the post  3. Add the circle if you can, if not try again later.  4. Request to be added in comments or let me know if you should be in it and for some reason are not.#Lebanon #Tajikistan #SharedCircles #circlesharing #circleshare #circleoftheday #sharedpubliccircles #sharedcircle2014-11-18 10:35:46487648
Kylie Jenner10,628 If you received this Notice - You're in this Circle                       •-::-•:*:•-:¦:  Circle Share 3  :¦:-•:*:•.::-•                 •-::-•:*:•-:¦: Fall Share and Be Shared :¦:-•:*:•.::-•      •-::-•:*:•-:¦:  If you want to be shared in this circle  :¦:-•:*:•.::-• •-::-•:*:•-:¦:  Just share it and I will keep you in this circle  :¦:-•:*:•.::-•        •-::-•:*:•-:¦:  Boost your visibility on Google+  :¦:-•:*:•.::-•                       •-::-•:*:•-:¦:  Share the circle!  :¦:-•:*:•.::-•This circle contains people who really are interesting and active people on Google Plus.Grow your G+ community with people that share amazing content that will surprise you:If you received the notice you are in this circle, then well done.If you would like to be included in the next Circle Share, you only have to do these simple steps:1 - Include me in your circles 3 - Share the circle (Publicly) 4 - Add +1 to the post 5 - Follow  your dreams and smile to life.More you share More you get! :)I will thankful if you plus and share this circle!#circles #shared #share #add #friends #circle #share #sharecircle #circleshar2014-11-08 17:52:334577727
Kylie Jenner10,305#16 GOOGLE FRIENDS! -  RESHARE if you want to be included *'"*:•:••:*:•-:¦:*  *SHARE AND BE  SHARED*  *:¦:-•:*:••-:•:''''*  This is a super Circle and in it I put together a group of really interesting and active people on Google Plus to add in your circles.I'm talking about the top   Google + users that share unique and original contents.Follow   this advice and grow your G+ community with people that share amazing content that will surprise you:boost   visibility on Google+ - Share the circle!If you want to be added to the next Circle you have to do these simple steps:1 - Include me in your circles 3 - Share the circle (Publicly) 4 - Add +1 to the post 5 - Follow  your dreams and smile to life.More you share More you get! :)I will thankful if you plus and share this circle!#circles #shared #share #add #friends #circle #share #sharecircle #circleshare2014-11-03 03:22:37457122
Kylie Jenner8,896#17 GOOGLE FRIENDS! -  RESHARE if you want to be included *'"*:•:••:*:•-:¦:*  *SHARE AND BE  SHARED*  *:¦:-•:*:••-:•:''''*  This is a super Circle and in it I put together a group of really interesting and active people on Google Plus to add in your circles.I'm talking about the top   Google + users that share unique and original contents.Follow   this advice and grow your G+ community with people that share amazing content that will surprise you:boost   visibility on Google+ - Share the circle!If you want to be added to the next Circle you have to do these simple steps:1 - Include me in your circles 3 - Share the circle (Publicly) 4 - Add +1 to the post 5 - Follow  your dreams and smile to life.More you share More you get! :)I will thankful if you plus and share this circle!#circles #shared #share #add #friends #circle #share #sharecircle #circleshare2014-10-17 14:25:534585110
Kylie Jenner8,896#16 GOOGLE FRIENDS! -  RESHARE if you want to be included *'"*:•:••:*:•-:¦:*  *SHARE AND BE  SHARED*  *:¦:-•:*:••-:•:''''*  This is a super Circle and in it I put together a group of really interesting and active people on Google Plus to add in your circles.I'm talking about the top   Google + users that share unique and original contents.Follow   this advice and grow your G+ community with people that share amazing content that will surprise you:boost   visibility on Google+ - Share the circle!If you want to be added to the next Circle you have to do these simple steps:1 - Include me in your circles 3 - Share the circle (Publicly) 4 - Add +1 to the post 5 - Follow  your dreams and smile to life.More you share More you get! :)I will thankful if you plus and share this circle!#circles #shared #share #add #friends #circle #share #sharecircle #circleshare2014-10-17 14:25:34457000
Becky Collins17,500Top Active Engager's Circle :Circle of very #social #engagerspeople and companiesTo 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)Improve your popularity, be social be cool !Keep yourself updated, enjoy the Shared Circles Hellenic Alliance, you can share your shared circles inside the upcoming Community:https://plus.google.com/communities/112552559573595396104  #socialmedia  #media  #circles   #circleshare   #circlesharing  #circlecircle   #beckyscircle   #sharedcircles   #sharedpubliccircles  #sharedcircleoftheday  +Becky Collins ?2014-10-13 05:05:40478002
Noah Wesley6,406This circle will add amazing, and wonderful content to you stream.Boost your visibility on Google+ - Share the circle!To be added to or stay in this Circle - Share the circle*#topcircle   #circleshareoftheday   #sharedcircles   #sharedpubliccircles   #fridaycircle   #themecircle   #mediterranean   #addbackspree   #ripplescircle   #addback   #aahanapriyadarsinee   #peoplescircle   #circleoftheday   #followme   #follow4follow  2014-09-30 05:20:29126211
John Sean145If you received a notification below or in the comments, you're included. If you received a notification, please reshare to your circles.If you’d like to be added to the next circle share: •         +1 this circle•         Share this circle to PUBLIC•         Include me in your circles•         Comment on this post #topofthepeople   #influencermarketing   #sharedcircle #circleshare #circlethis #socialmediamarketing #socialmediastrategy #socialnetworking #circleoftheday #circleoftheweek #circleoftheday #topofthecircle #howtoenlargecircle #enlargecircle #thursdaycircle   #share2014-09-22 11:28:125481915
AyJay Schibig72,777DISCOVERY CIRCLE   9.17.14 by  +AyJay Schibig Reshare  if you want to be included in this circle.Welcome to the latest edition of my Discovery Circle!   Discover lots of interesting and active  G+ members here!  #circleshare #circlesharing #sharedcircles #sharingcircles #sharedpubliccircles #sharedcircleoftheday #circlesunday #share #shared #followers #addcircles #publicsharedcircles #share #addpeople #addcircle #addfriends #circle #socialmedia 2014-09-17 23:03:44478575367
Becky Collins16,609Science Circle :Circle of very #social #engagerspeople and companiesTo 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)Improve your popularity, be social be cool !Keep yourself updated, enjoy the Shared Circles Hellenic Alliance, you can share your shared circles inside the upcoming Community:https://plus.google.com/communities/112552559573595396104  #socialmedia  #media  #circles   #circleshare   #circlesharing  #circlecircle   #beckyscircle   #sharedcircles   #sharedpubliccircles  #sharedcircleoftheday  +Becky Collins ?2014-09-16 05:24:00459102
Richard Green81,215Engagers Showcase Circle, September 14, 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. I skipped over one post because it received too much engagement, but I'm including a link to it for completeness.Everyone mentioned below is also included in the circle.Do nuclear physicists have half life crises?https://plus.google.com/101584889282878921052/posts/ayw6WPGGaFESt Peter's Church, Heyshamhttps://plus.google.com/101584889282878921052/posts/9DEtmbdz15zSmiling cow?https://plus.google.com/101584889282878921052/posts/9NuqPpsgtBkThe look-and-say sequence and Conway's Cosmological Theoremhttps://plus.google.com/101584889282878921052/posts/jEQ7zxFpJt4Cordyline australis, the “cabbage tree”https://plus.google.com/101584889282878921052/posts/hktDAgyo6mA“Maurits, stop picking at it. You'll only make it worse.” by David Swarthttps://plus.google.com/101584889282878921052/posts/gj327Ywh33T“Phyllotactic Portrait of Fibonacci” by Robert Boschhttps://plus.google.com/101584889282878921052/posts/8LykdvHpRvPFountain in Williamson Parkhttps://plus.google.com/101584889282878921052/posts/HzZTLQaQ9RT“Youth” by Silvia Cordeddahttps://plus.google.com/101584889282878921052/posts/T2Lo3c2zLxvThe arithmetic derivative, the Goldbach conjecture, and the twin prime conjecturehttps://plus.google.com/101584889282878921052/posts/9nY35Ma1pbUGlobe Thistlehttps://plus.google.com/101584889282878921052/posts/i8mtiyVikWhTallinn (reshared from +Paul Harper)https://plus.google.com/101584889282878921052/posts/U4DAQxK5fkxCubes passing in the night (reshared from +Sean Walker)https://plus.google.com/101584889282878921052/posts/32JKvAFqP9SThe graph of arctanhttps://plus.google.com/101584889282878921052/posts/FLvyDupud1z“Hopf Knott” by Peter Sittner2014-09-14 15:25:57463224129234
Kylie Jenner6,429#16 GOOGLE FRIENDS! -  RESHARE if you want to be included *'"*:•:••:*:•-:¦:*  *SHARE AND BE  SHARED*  *:¦:-•:*:••-:•:''''*  This is a super Circle and in it I put together a group of really interesting and active people on Google Plus to add in your circles.I'm talking about the top   Google + users that share unique and original contents.Follow   this advice and grow your G+ community with people that share amazing content that will surprise you:boost   visibility on Google+ - Share the circle!If you want to be added to the next Circle you have to do these simple steps:1 - Include me in your circles 3 - Share the circle (Publicly) 4 - Add +1 to the post 5 - Follow  your dreams and smile to life.More you share More you get! :)I will thankful if you plus and share this circle!#circles #shared #share #add #friends #circle #share #sharecircle #circleshare2014-09-06 15:33:4245517923
Becky Collins15,950Dance Related Circle :Circle of very #social #engagerspeople and companiesTo 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)Improve your popularity, be social be cool !Keep yourself updated, enjoy the Shared Circles Hellenic Alliance, you can share your shared circles inside the upcoming Community:https://plus.google.com/communities/112552559573595396104  #socialmedia  #media  #circles   #circleshare   #circlesharing  #circlecircle   #beckyscircle   #sharedcircles   #sharedpubliccircles  #sharedcircleoftheday  +Becky Collins ?2014-09-02 05:00:4347130935
Bob Calder16,881Math circle2014-08-26 01:37:4415112
Becky Collins15,192Recipes and Cooking Circle : Circle of very #social #engagerspeople and companiesTo 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)Improve your popularity, be social be cool !Keep yourself updated, enjoy the Shared Circles Hellenic Alliance, you can share your shared circles inside the upcoming Community:https://plus.google.com/communities/112552559573595396104  #socialmedia  #media  #circles   #circleshare   #circlesharing  #circlecircle   #beckyscircle   #sharedcircles   #sharedpubliccircles  #sharedcircleoftheday  +Becky Collins ?2014-08-18 05:14:394770210
Andri Listriyono211#AMIKOM #seo #programmer #tipsandtricks #tips #blogging #sandbox #sukses #jogja #jogjakarta #indonesia #nasional #berita #news #tipsblog #tipsseo #php #IndonesiaOnly #sharedpubliccircles #sharedcircles #sharedpubliccircles #programmerphp #akusukses #akusuksescom #Semangat #Inspirasi #Motivasi #Peluangusaha #BisnisRumahan #PeluangBisnis #BisnisOnline #Bisnis #JasaBuatWeb #JasaSkripsi #JasaTugasAkhir #JasaSEO #SEOMurah #BelajarWeb #Penulis #google 2014-08-13 01:35:464578414
Kylie Jenner5,348#8 GOOGLE FRIENDS! -  RESHARE if you want to be included *'"*:•:••:*:•-:¦:*  *SHARE AND BE  SHARED*  *:¦:-•:*:••-:•:''''*  This is a super Circle and in it I put together a group of really interesting and active people on Google Plus to add in your circles.I'm talking about the top   Google + users that share unique and original contents.Follow   this advice and grow your G+ community with people that share amazing content that will surprise you:boost   visibility on Google+ - Share the circle!If you want to be added to the next Circle you have to do these simple steps:1 - Include me in your circles 3 - Share the circle (Publicly) 4 - Add +1 to the post 5 - Follow  your dreams and smile to life.More you share More you get! :)I will thankful if you plus and share this circle!#circles #shared #share #add #friends #circle #share #sharecircle #circleshare2014-08-09 07:14:3845611520
Kylie Jenner5,348#7 GOOGLE FRIENDS! -  RESHARE if you want to be included *'"*:•:••:*:•-:¦:*  *SHARE AND BE  SHARED*  *:¦:-•:*:••-:•:''''*  This is a super Circle and in it I put together a group of really interesting and active people on Google Plus to add in your circles.I'm talking about the top   Google + users that share unique and original contents.Follow   this advice and grow your G+ community with people that share amazing content that will surprise you:boost   visibility on Google+ - Share the circle!If you want to be added to the next Circle you have to do these simple steps:1 - Include me in your circles 3 - Share the circle (Publicly) 4 - Add +1 to the post 5 - Follow  your dreams and smile to life.More you share More you get! :)I will thankful if you plus and share this circle!#circles #shared #share #add #friends #circle #share #sharecircle #circleshare2014-08-09 07:14:204555519
Richard Green77,832Engagers Showcase Circle, August 7, 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.Our cat, Chesterhttps://plus.google.com/101584889282878921052/posts/ToxRHsMHytsFibonacci numbers and corridors of width 4https://plus.google.com/101584889282878921052/posts/gCTyaSV4ugzWalk in the rainhttps://plus.google.com/101584889282878921052/posts/gVPzuv7aKHALenticular cloud (reshared from +Sean R. Heavey)https://plus.google.com/101584889282878921052/posts/giTgt4PUd1GGlass Paperweight by Paul Stankardhttps://plus.google.com/101584889282878921052/posts/fLfKWxFj3f2“Mathematistan” by Martin Kuppehttps://plus.google.com/101584889282878921052/posts/AcUBb8Y9uBjCat's back on the menu, boys!https://plus.google.com/101584889282878921052/posts/aP3cZEnaqquWaterfall (reshared from +Keith Boone)https://plus.google.com/101584889282878921052/posts/S2pmsTTyiZzOak tree at “The Pig”https://plus.google.com/101584889282878921052/posts/cv8pi2ffX1NThe Bargate, Southamptonhttps://plus.google.com/101584889282878921052/posts/LsYSEpUS1bLCosmos flowerhttps://plus.google.com/101584889282878921052/posts/KqvLW32KyXfThe Ashton Memorialhttps://plus.google.com/101584889282878921052/posts/aK1E3XqWWSSThrough the castle windowhttps://plus.google.com/101584889282878921052/posts/MT7uBM2SUt7Friedman numbershttps://plus.google.com/101584889282878921052/posts/32tzjfB8NnMThe Norfolk Knifehttps://plus.google.com/101584889282878921052/posts/DHf4jfSkUKKThe lake at Wyresdale Parkhttps://plus.google.com/101584889282878921052/posts/3xFACaympiNCastle of the Clouds2014-08-07 21:46:51451213121238
Kylie Jenner4,909#1 GOOGLE FRIENDS! -  RESHARE if you want to be included *'"*:•:••:*:•-:¦:*  *SHARE AND BE  SHARED*  *:¦:-•:*:••-:•:''''*  This is a super Circle and in it I put together a group of really interesting and active people on Google Plus to add in your circles.I'm talking about the top   Google + users that share unique and original contents.Follow   this advice and grow your G+ community with people that share amazing content that will surprise you:boost   visibility on Google+ - Share the circle!If you want to be added to the next Circle you have to do these simple steps:1 - Include me in your circles 3 - Share the circle (Publicly) 4 - Add +1 to the post 5 - Follow  your dreams and smile to life.More you share More you get! :)I will thankful if you plus and share this circle!#circles #shared #share #add #friends #circle #share #sharecircle #circleshare2014-08-04 11:55:5045614522
Kukuh Malindo2322014-08-02 10:20:4450015218
Kylie Jenner4,350GOOGLE FRIENDS! -  RESHARE if you want to be included *'"*:•:••:*:•-:¦:*  *SHARE AND BE  SHARED*  *:¦:-•:*:••-:•:''''*  This is a super Circle and in it I put together a group of really interesting and active people on Google Plus to add in your circles.I'm talking about the top   Google + users that share unique and original contents.Follow   this advice and grow your G+ community with people that share amazing content that will surprise you:boost   visibility on Google+ - Share the circle!If you want to be added to the next Circle you have to do these simple steps:1 - Include me in your circles 3 - Share the circle (Publicly) 4 - Add +1 to the post 5 - Follow  your dreams and smile to life.More you share More you get! :)I will thankful if you plus and share this circle!#circles #shared #share #add #friends #circle #share #sharecircle #circleshare2014-07-25 14:02:3045514417
Kylie Jenner4,350GOOGLE FRIENDS! -  RESHARE if you want to be included *'"*:•:••:*:•-:¦:*  *SHARE AND BE  SHARED*  *:¦:-•:*:••-:•:''''*  This is a super Circle and in it I put together a group of really interesting and active people on Google Plus to add in your circles.I'm talking about the top   Google + users that share unique and original contents.Follow   this advice and grow your G+ community with people that share amazing content that will surprise you:boost   visibility on Google+ - Share the circle!If you want to be added to the next Circle you have to do these simple steps:1 - Include me in your circles 3 - Share the circle (Publicly) 4 - Add +1 to the post 5 - Follow  your dreams and smile to life.More you share More you get! :)I will thankful if you plus and share this circle!#circles #shared #share #add #friends #circle #share #sharecircle #circleshare2014-07-25 14:02:2245614415
AyJay Schibig67,492DISCOVERY CIRCLE   7.24.14 by  +AyJay Schibig RESHARE  if you want to be included.Welcome to the latest edition of my Discovery Circle!   Discover lots of interesting and active  G+ members here!  #circleshare #circlesharing #sharedcircles #sharingcircles #sharedpubliccircles #sharedcircleoftheday #circlesunday #share #shared #followers #addcircles #publicsharedcircles #share #addpeople #addcircle #addfriends #circle #socialmedia #circlesbyayjay2014-07-25 07:08:39486523362
Colin Wilson56Hi friends! This is a great circle created with an important selection from all circles.#circleshare #circlesharing #circleoftheday #wanttobecircled #addmetoyourcircles #public #publiccircle #sharedcircles #Britain #sharedcircle #morefollowers #sharingcircles #sharedpubliccircles #sharedpublicircles #sharedcircle #photography #uk  #nottingham #Holland #Netherlands #Du2014-07-25 06:22:37469322
Legakulie3,512Legakulie hat Folgendes ursprünglich geteilt: **************NEW  CIRCLE EDITION*************                                      Boost your visibility on Google+  & share this unitedcircle!To be added to the unitedcircle you have to do these simple steps:1 - Include me in your circles 2 - Plus, Comment and Reshare this post in PUBLICBest wishes from germany+Legakulie#powercircle #sharedcircle #topsharedcircle #circleoftheday #sharedcircle #trustinme #circlesharing #circleshare #circles #circleoftheday #sharedpubliccircles #sharedcircles #share #sharedcircleoftheday #sharewithyou #followers #followback #circle #googleplus #coolpeople #sharedcircles #sharedcircle #sharedcircles #sharedpubliccircles #circleshare #circlesharing #fullcircleshare #unitedcircle   #followers  2014-07-21 15:47:0750110618
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 15:49:10477151421
Aman Singh2,014Circle of the dayYour re-share is appreciatedPlease re-share this circle in your stream.To be added:1- Add +Circles Circles Circles to your circles2- Write the URL of your blog in the comments section below3- Your blog must be an active blog (posts must be current)2014-07-16 12:15:324990718
Ryan Johnson9,485Hi friends! This is a great circle created with an important selection from all circles. The most important engagers are reshared because only that way can we grow our circle and have the people of google circle us.To get in, and to ensure you stay in this circle you need to do the following:1. Add me to your circles, if you haven't done so already!2. +1 this circle!3. Publicly share this circle to public, your circles and extended circles.4. If possible, leave a comment on this circle so I know you have done the three steps above!#circleshare #circlesharing #circleoftheday #wanttobecircled #addmetoyourcircles #public #publiccircle #sharedcircles #Britain #sharedcircle #morefollowers #sharingcircles #sharedpubliccircles #sharedpublicircles #sharedcircle #photography #uk  #nottingham #Holland #Netherlands #Duch2014-07-16 10:40:014918812
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 05:31:36476209123224
Kylie Jenner3,818GOOGLE FRIENDS! - You're in this  Circle 16   -  RESHARE if you want to be included *'"*:•:••:*:•-:¦:*  *SHARE AND BE  SHARED*  *:¦:-•:*:••-:•:''''*  This is a super Circle and in it I put together a group of really interesting and active people on Google Plus to add in your circles.I'm talking about the top   Google + users that share unique and original contents.Follow   this advice and grow your G+ community with people that share amazing content that will surprise you:boost   visibility on Google+ - Share the circle!If you want to be added to the next Circle you have to do these simple steps:1 - Include me in your circles 3 - Share the circle (Publicly) 4 - Add +1 to the post 5 - Follow  your dreams and smile to life.More you share More you get! :)I will thankful if you plus and share this circle!#circles #shared #share #add #friends #circle #share #sharecircle #circleshare2014-07-11 06:47:4645613617
Kylie Jenner3,818GOOGLE FRIENDS! - You're in this  Circle 17   -  RESHARE if you want to be included *'"*:•:••:*:•-:¦:*  *SHARE AND BE  SHARED*  *:¦:-•:*:••-:•:''''*  This is a super Circle and in it I put together a group of really interesting and active people on Google Plus to add in your circles.I'm talking about the top   Google + users that share unique and original contents.Follow   this advice and grow your G+ community with people that share amazing content that will surprise you:boost   visibility on Google+ - Share the circle!If you want to be added to the next Circle you have to do these simple steps:1 - Include me in your circles 3 - Share the circle (Publicly) 4 - Add +1 to the post 5 - Follow  your dreams and smile to life.More you share More you get! :)I will thankful if you plus and share this circle!#circles #shared #share #add #friends #circle #share #sharecircle #circleshare2014-07-11 06:47:3545712516
Mark Tillison15,294The UK CrowdIt's been a while since I shared the circle of UK Plussers I've been gradually curating over the last 12 months or so.If you're in the UK, you could do worse than follow this great crowd of folks who share good content, engage and lend a hand when folks need it.If you're not sure how to create circles and share them, read:http://tillison.co.uk/2014/06/19/circles-circling-sharing-circles/If you're new(ish) to Google+, I made a Community for beginners' tricks and tips and for you to ask questions - none of which are silly (we've all been there).https://plus.google.com/communities/101236419942719160905Thank you all, friends. #CircleShare   #Britpack  2014-07-06 21:24:2137111211
Kylie Jenner3,468GOOGLE FRIENDS! - You're in this  Circle 16   -  RESHARE if you want to be included *'"*:•:••:*:•-:¦:*  *SHARE AND BE  SHARED*  *:¦:-•:*:••-:•:''''*  This is a super Circle and in it I put together a group of really interesting and active people on Google Plus to add in your circles.I'm talking about the top   Google + users that share unique and original contents.Follow   this advice and grow your G+ community with people that share amazing content that will surprise you:boost   visibility on Google+ - Share the circle!If you want to be added to the next Circle you have to do these simple steps:1 - Include me in your circles 3 - Share the circle (Publicly) 4 - Add +1 to the post 5 - Follow  your dreams and smile to life.More you share More you get! :)I will thankful if you plus and share this circle!#circles #shared #share #add #friends #circle #share #sharecircle #circleshare2014-07-06 17:47:5145613115
Kylie Jenner3,468GOOGLE FRIENDS! - You're in this  Circle 17   -  RESHARE if you want to be included *'"*:•:••:*:•-:¦:*  *SHARE AND BE  SHARED*  *:¦:-•:*:••-:•:''''*  This is a super Circle and in it I put together a group of really interesting and active people on Google Plus to add in your circles.I'm talking about the top   Google + users that share unique and original contents.Follow   this advice and grow your G+ community with people that share amazing content that will surprise you:boost   visibility on Google+ - Share the circle!If you want to be added to the next Circle you have to do these simple steps:1 - Include me in your circles 3 - Share the circle (Publicly) 4 - Add +1 to the post 5 - Follow  your dreams and smile to life.More you share More you get! :)I will thankful if you plus and share this circle!#circles #shared #share #add #friends #circle #share #sharecircle #circleshare2014-07-06 17:47:4145711314
My-beez1,207Best engaged circles members :#circles #sharedcircles #circlesharing #circle #bestcircle #news #bestofcircles #bestcircleshare #share #tech #business #sport #small #topcircles2014-07-02 13:10:125012110
Kylie Jenner3,197GOOGLE FRIENDS! - You're in this  Circle 16   -  RE-SHARE if you want to be included *'"*:•:••:*:•-:¦:*  *SHARE AND BE  SHARED*  *:¦:-•:*:••-:•:''''*  This is a super Circle and in it I put together a group of really interesting and active people on Google Plus to add in your circles.I'm talking about the top   Google + users that share unique and original contents.Follow   this advice and grow your G+ community with people that share amazing content that will surprise you:boost   visibility on Google+ - Share the circle!If you want to be added to the next Circle you have to do these simple steps:1 - Include me in your circles 3 - Share the circle (Publicly) 4 - Add +1 to the post 5 - Follow  your dreams and smile to life.More you share More you get! :)Thanks!#circles #shared #share #add #friends #circle #share #sharecircle #circleshare2014-07-02 00:22:3745610118
Kylie Jenner3,197GOOGLE FRIENDS! - You're in this  Circle 17   -  RE-SHARE if you want to be included *'"*:•:••:*:•-:¦:*  *SHARE AND BE  SHARED*  *:¦:-•:*:••-:•:''''*  This is a super Circle and in it I put together a group of really interesting and active people on Google Plus to add in your circles.I'm talking about the top   Google + users that share unique and original contents.Follow   this advice and grow your G+ community with people that share amazing content that will surprise you:boost   visibility on Google+ - Share the circle!If you want to be added to the next Circle you have to do these simple steps:1 - Include me in your circles 3 - Share the circle (Publicly) 4 - Add +1 to the post 5 - Follow  your dreams and smile to life.More you share More you get! :)Thanks!#circles #shared #share #add #friends #circle #share #sharecircle #circleshare2014-07-02 00:22:1745710315
Freizeit.ch2,752This is our 2nd FINEST SWISS CIRCLE !We are sharing this #CIRCLE in order to give you a powerful Google Plus experience and most of all, this circle contains Interactiv Googlers. In this #Circle are travelors, photograph and lots more.Sharing this cirlce allows you to gain more followers and specialy #Swiss followers.If you would like to get inside this circle, you just have to do this 4 simple steps:1. Add us !2. +1 this post3. share this post4. Comment on this post, so we can add you on the next circle. You have to share this circle in #Public so we  can easily find your share.#circleshare   #circlesharing #swiss #schweiz #switzerland #circle #sharing #publicsharedcircles #suisse   #circle   #circleshare   #sharecircle   #circleoftheday   #sport   #tips   #powercircle #sharedcircle #topsharedcircle #circleoftheday #sharedcircle #trustinme #circlesharing #circleshare #circles         #circleoftheday #sharedpubliccircles #sharedcircles #share #vipsnowballcircle 2014-07-01 15:50:4649613815
Thiago Mello4,168 *'"*:•:••:*:•-:¦:*  *SHARE AND BE  SHARED*  *:¦:-•:*:••-:•:''''*  This is a super Circle and in it I put together a group of really interesting and active people on Google Plus to add in your circles.I'm talking about the top   Google + users that share unique and original contents.Follow   this advice and grow your G+ community with people that share amazing content that will surprise you:boost   visibility on Google+ - Share the circle!If you want to be added to the next Circle you have to do these simple steps:1 - Include me in your circles 3 - Share the circle (Publicly) 4 - Add +1 to the post 5 - Follow  your dreams and smile to life.More you share More you get! :)Thanks! #circleshare   #circleoftheday #circlesharing #circlesharing  2014-06-30 15:06:2745716624
Kylie Jenner3,003GOOGLE FRIENDS! - You're in this  Circle 16   -  RESHARE if you want to be included *'"*:•:••:*:•-:¦:*  *SHARE AND BE  SHARED*  *:¦:-•:*:••-:•:''''*  This is a super Circle and in it I put together a group of really interesting and active people on Google Plus to add in your circles.I'm talking about the top   Google + users that share unique and original contents.Follow   this advice and grow your G+ community with people that share amazing content that will surprise you:boost   visibility on Google+ - Share the circle!If you want to be added to the next Circle you have to do these simple steps:1 - Include me in your circles 3 - Share the circle (Publicly) 4 - Add +1 to the post 5 - Follow  your dreams and smile to life.More you share More you get! :)Thanks!#circles #shared #share #add #friends #circle #share #sharecircle #circleshare2014-06-29 11:24:4945615521
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 10:59:0549119415
Kylie Jenner2,919GOOGLE FRIENDS! - You're in this  Circle 16   -  RESHARE if you want to be included *'"*:•:••:*:•-:¦:*  *SHARE AND BE  SHARED*  *:¦:-•:*:••-:•:''''*  This is a super Circle and in it I put together a group of really interesting and active people on Google Plus to add in your circles.I'm talking about the top   Google + users that share unique and original contents.Follow   this advice and grow your G+ community with people that share amazing content that will surprise you:boost   visibility on Google+ - Share the circle!If you want to be added to the next Circle you have to do these simple steps:1 - Include me in your circles 3 - Share the circle (Publicly) 4 - Add +1 to the post 5 - Follow  your dreams and smile to life.More you share More you get! :)Thanks!#circles #shared #share #add #friends #circle #share #sharecircle #circleshare2014-06-27 15:44:2745715417
Freizeit.ch2,460This is our FINEST SWISS CIRCLE !We are sharing this #CIRCLE in order to give you a powerful Google Plus experience and most of all, this circle contains #Swiss   Googlers. In this #Circle are swiss travelors, photograph and lots more.Sharing this cirlce allows you to gain more followers and specialy #Swiss followers.If you would like to get inside this circle, you just have to do this 4 simple steps:1. Add us !2. +1 this post3. share this post4. Comment on this post, so we can add you on the next circle. You have to share this circle in #Public so we  can easily find your share.#circleshare   #circlesharing #swiss #schweiz #switzerland #circle #sharing #publicsharedcircles #suisse   #circle   #circleshare   #sharecircle   #circleoftheday   #sport   #tips   #powercircle #sharedcircle #topsharedcircle #circleoftheday #sharedcircle #trustinme #circlesharing #circleshare #circles         #circleoftheday #sharedpubliccircles #sharedcircles #share 2014-06-27 09:20:5348424814

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Most comments: 13

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2014-09-19 12:11:15 (13 comments, 0 reshares, 17 +1s)Open 

Don't recall receiving such a notification before, but nice anyhow to see 444 of my photos (with 680,000 views) are used.   I've been lucky enough to briefly visit a load of cities these past few months especially.

[and more places/photos so that grumpy traveller +Vincent Knight doesn't haven't to visit irl! ;) #someonehastodoit ]

Most reshares: 7

posted image

2014-09-30 10:41:30 (9 comments, 7 reshares, 35 +1s)Open 

"Life is good for only two things: doing mathematics and teaching mathematics" quoted (apparently) by Simeon Poisson (1781-1840)

Reflecting on my own studies many years ago as a Mathematics undergraduate, it was a pity no course was offered on the history of Mathematics or that lecturers made an effort to discuss, even if in passing, a short biography of those names we became so familiar with during our degree (Lagrange, Laplace, Cantor, Fermat, Riemman, Leibniz etc etc).   So I'm trying to make an effort in my own teaching (and would encourage others to do so as well), starting with a course I'm running for the first time to our second year UGs, kicking off with queueing theory.  Today this included a derivation of the Poisson distribution (the probability of obtaining exactly n successes in N trials given by the limit of a binomial distribution)…

Simeon Poissonwas... more »

Most plusones: 35

posted image

2014-09-30 10:41:30 (9 comments, 7 reshares, 35 +1s)Open 

"Life is good for only two things: doing mathematics and teaching mathematics" quoted (apparently) by Simeon Poisson (1781-1840)

Reflecting on my own studies many years ago as a Mathematics undergraduate, it was a pity no course was offered on the history of Mathematics or that lecturers made an effort to discuss, even if in passing, a short biography of those names we became so familiar with during our degree (Lagrange, Laplace, Cantor, Fermat, Riemman, Leibniz etc etc).   So I'm trying to make an effort in my own teaching (and would encourage others to do so as well), starting with a course I'm running for the first time to our second year UGs, kicking off with queueing theory.  Today this included a derivation of the Poisson distribution (the probability of obtaining exactly n successes in N trials given by the limit of a binomial distribution)…

Simeon Poissonwas... more »

Latest 50 posts

posted image

2014-12-18 06:03:51 (0 comments, 0 reshares, 15 +1s)Open 

Proud to be at +Cardiff University
Top 5 in research excellence in UK

Proud to be at +Cardiff University
Top 5 in research excellence in UK___

posted image

2014-12-15 14:10:41 (2 comments, 0 reshares, 9 +1s)Open 

Attending the launch of +Cardiff University's five 'flagship engagement projects' working with communities on issues such as tackling poverty, boosting the economy, and improving health, education and wellbeing.

The School of Mathematics is contributing in particular to The Phoenix project (working with the University of Namibia, thanks to Rob Wilson and +Vincent Knight), and the Healthier Communities and City Region projects (thanks to the healthcare modelling and transportation research themes in the Operational Research group).

http://www.cardiff.ac.uk/about/our-profile/engagement/flagship-projects 

Attending the launch of +Cardiff University's five 'flagship engagement projects' working with communities on issues such as tackling poverty, boosting the economy, and improving health, education and wellbeing.

The School of Mathematics is contributing in particular to The Phoenix project (working with the University of Namibia, thanks to Rob Wilson and +Vincent Knight), and the Healthier Communities and City Region projects (thanks to the healthcare modelling and transportation research themes in the Operational Research group).

http://www.cardiff.ac.uk/about/our-profile/engagement/flagship-projects ___

posted image

2014-12-09 08:27:24 (11 comments, 0 reshares, 17 +1s)Open 

108 mince pies and chocolates for prizes in my last class before the Christmas vacation... I'm too good to my students! #bribentives #MA0261

108 mince pies and chocolates for prizes in my last class before the Christmas vacation... I'm too good to my students! #bribentives #MA0261___

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2014-12-09 07:13:43 (0 comments, 1 reshares, 6 +1s)Open 

Really useful resource created by +Tim Hopper. Nice to be invited by Tim to contribute to this.

Take a look at +Tim Hopper​'s nice collection of interviews about doing a PhD. A very nice resource that all of those thinking about doing a PhD might find useful. ___Really useful resource created by +Tim Hopper. Nice to be invited by Tim to contribute to this.

posted image

2014-12-08 11:51:30 (0 comments, 0 reshares, 9 +1s)Open 

The +Cardiff Maths MSc OR/Stats case study is well underway.  Our students need to work in teams on a challenging forecasting and scheduling problem just in a day; they present back to the company representatives who set the real-life problem later.  Good luck to them all!

The +Cardiff Maths MSc OR/Stats case study is well underway.  Our students need to work in teams on a challenging forecasting and scheduling problem just in a day; they present back to the company representatives who set the real-life problem later.  Good luck to them all!___

posted image

2014-12-03 09:15:49 (7 comments, 0 reshares, 13 +1s)Open 

Always a pleasure to be back. Good memories of 10 very happy years here. On this occasion to examine one of +Joerg Fliege's PhD students.

Always a pleasure to be back. Good memories of 10 very happy years here. On this occasion to examine one of +Joerg Fliege's PhD students.___

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2014-12-02 13:07:21 (0 comments, 0 reshares, 14 +1s)Open 

My #MA0261  Queueing Theory students submitted their photo entries and the class voted on the winner.  Dogs in a 'batch queue' for a feeding frenzy just pipped a queue of camels to claim first prize!  

My #MA0261  Queueing Theory students submitted their photo entries and the class voted on the winner.  Dogs in a 'batch queue' for a feeding frenzy just pipped a queue of camels to claim first prize!  ___

posted image

2014-11-21 07:51:48 (8 comments, 0 reshares, 25 +1s)Open 

Thoroughly well deserved +Vincent Knight!

So proud of my husband (+Vincent Knight) for winning the "Rising Star" award at the Cardiff University's Celebrating Excellence Awards last night :)___Thoroughly well deserved +Vincent Knight!

posted image

2014-11-04 09:37:25 (0 comments, 0 reshares, 4 +1s)Open 

Inspiring 3 minute films on a range of subjects.  Such a great project and resource.  

#haylevels

Inspiring 3 minute films on a range of subjects.  Such a great project and resource.  

#haylevels___

posted image

2014-11-03 15:23:10 (4 comments, 0 reshares, 11 +1s)Open 

Single queue with 2 servers, single queue with 1 twice as fast server, or two parallel queues each with half the demand and 1 server?...

This is what we are considering in my UG class.  We are about to derive the performance measures and compare/discuss which system would be preferable (despite them each having the same traffic intensity so intuitively one might believe it makes no difference at all...) 

But before moving on to the analytical work, I got the class to role play the systems.  I sampled inter-arrival times and service times, and they moved through the queueing system (30 students for each) and recorded the waiting times and numbers queueing.  This was neat (well at least I thought it was - my 'cool' second years pretended not to overly enjoy it) since it also introduced random number generation & sampling from distributions (we are moving onto thisnex... more »

Single queue with 2 servers, single queue with 1 twice as fast server, or two parallel queues each with half the demand and 1 server?...

This is what we are considering in my UG class.  We are about to derive the performance measures and compare/discuss which system would be preferable (despite them each having the same traffic intensity so intuitively one might believe it makes no difference at all...) 

But before moving on to the analytical work, I got the class to role play the systems.  I sampled inter-arrival times and service times, and they moved through the queueing system (30 students for each) and recorded the waiting times and numbers queueing.  This was neat (well at least I thought it was - my 'cool' second years pretended not to overly enjoy it) since it also introduced random number generation & sampling from distributions (we are moving onto this next) and simulation of queueing systems.  

Looking at the data from our 'experiment' (and the observations made by the class) it seems to compare very well to the analytical results and overall insights that the queue length and queueing time was on average less in case 1 (2 servers) than case 2 (single faster server), but the opposite way round when considering total time in the system (including service time).

#ma0261  
#queueingtheory  ___

posted image

2014-10-30 10:43:54 (2 comments, 1 reshares, 6 +1s)Open 

Conference app - recommendations welcome :)

I'm on the organising committee of EURO 2015 in Glasgow, Scotland. We are looking to select a conference app and I was wondering if anyone has any particular good recommendations/experiences? (e.g. guidebook.com) This is for an organised agenda, venue maps etc. Certainly a tool that suggests a personalised schedule based on ranking to a keywords search for example would be awesome. The conference will be large - typically around 2-3,000 delegates.

Conference app - recommendations welcome :)

I'm on the organising committee of EURO 2015 in Glasgow, Scotland. We are looking to select a conference app and I was wondering if anyone has any particular good recommendations/experiences? (e.g. guidebook.com) This is for an organised agenda, venue maps etc. Certainly a tool that suggests a personalised schedule based on ranking to a keywords search for example would be awesome. The conference will be large - typically around 2-3,000 delegates.___

2014-10-26 21:40:30 (0 comments, 0 reshares, 2 +1s)Open 

#chimera #oreilly

Free books and videos from O'Reilly.

#chimera #oreilly

Free books and videos from O'Reilly.___

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2014-10-22 08:00:05 (5 comments, 0 reshares, 17 +1s)Open 

Attending a 'Festival of evidence' on healthcare modelling. A super nice venue in Runnymede near London, right by the River Thames.

For the history buffs, a short stroll from here is where the Magna Carta was sealed under oath by King John in 1215.

And the hotel seems to have a 'thing' with ducks...

http://www.cumberland-initiative.org/2014/07/01/building-investment-in-healthcare-modelling/

Attending a 'Festival of evidence' on healthcare modelling. A super nice venue in Runnymede near London, right by the River Thames.

For the history buffs, a short stroll from here is where the Magna Carta was sealed under oath by King John in 1215.

And the hotel seems to have a 'thing' with ducks...

http://www.cumberland-initiative.org/2014/07/01/building-investment-in-healthcare-modelling/___

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2014-10-20 13:01:21 (0 comments, 0 reshares, 7 +1s)Open 

Neat to have my Mike Carter (Toronto) give a guest lecture to my UG class on applications of queueing theory.

Neat to have my Mike Carter (Toronto) give a guest lecture to my UG class on applications of queueing theory.___

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2014-10-19 13:16:18 (4 comments, 0 reshares, 23 +1s)Open 

Hanging out with friend and colleague Prof Mike Carter (University of Toronto). Mike is staying with us for a few days whilst visiting the team in Cardiff to give some talks and discuss research collaboration. Welcome back to Wales Mike :)

http://health.mie.utoronto.ca/


Hanging out with friend and colleague Prof Mike Carter (University of Toronto). Mike is staying with us for a few days whilst visiting the team in Cardiff to give some talks and discuss research collaboration. Welcome back to Wales Mike :)

http://health.mie.utoronto.ca/
___

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2014-10-16 20:26:36 (2 comments, 0 reshares, 14 +1s)Open 

Very nice meal out with the team and our guests from Limerick, Ireland, after a great 2 days of discussion/talks. Great for myself and +Vincent Knight to finally hang out irl with our G+ friend +Brian McKeon :)

Very nice meal out with the team and our guests from Limerick, Ireland, after a great 2 days of discussion/talks. Great for myself and +Vincent Knight to finally hang out irl with our G+ friend +Brian McKeon :)___

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2014-10-12 18:06:37 (1 comments, 0 reshares, 5 +1s)Open 

21 LaTeX videos introducing very basic LaTeX syntax using +The SageMathCloud 

I've just finished editing and uploading this playlist that I'll be using in my flipped class for our first years.
This only shows the extreme basics of LaTeX but I think it's a good starting point.

I've got all the files I wrote for it in this github repo (so you can easily grab them straight in to a SageMathCloud project): https://github.com/drvinceknight/IntroductionToLaTeXwithSageMathCloud and I've written a teeny tiny blog post about it here: http://goo.gl/zSGw2G

(This is actually very similar to the playlist I put together a year ago using +writeLaTeX.)

21 LaTeX videos introducing very basic LaTeX syntax using +The SageMathCloud 

I've just finished editing and uploading this playlist that I'll be using in my flipped class for our first years.
This only shows the extreme basics of LaTeX but I think it's a good starting point.

I've got all the files I wrote for it in this github repo (so you can easily grab them straight in to a SageMathCloud project): https://github.com/drvinceknight/IntroductionToLaTeXwithSageMathCloud and I've written a teeny tiny blog post about it here: http://goo.gl/zSGw2G

(This is actually very similar to the playlist I put together a year ago using +writeLaTeX.)___

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2014-10-10 10:20:03 (0 comments, 1 reshares, 4 +1s)Open 

There's some pretty neat resources that have now all been made fully available resulting from collaboration between the Welsh Institute of Mathematics and Computational Sciences (WIMCS) and Science Made Simple.  These are maths resources (including some fun short 'Maths Apps' videos)  primarily aimed at 12-14 yos, but feel they would be appreciated by younger kids too :)

#mathematics  
#outreach  

There's some pretty neat resources that have now all been made fully available resulting from collaboration between the Welsh Institute of Mathematics and Computational Sciences (WIMCS) and Science Made Simple.  These are maths resources (including some fun short 'Maths Apps' videos)  primarily aimed at 12-14 yos, but feel they would be appreciated by younger kids too :)

#mathematics  
#outreach  ___

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2014-10-08 14:39:22 (8 comments, 0 reshares, 23 +1s)Open 

Awesome school outreach duo of Harper and +Vincent Knight back in action!

Monmouth Science Initiative 2014


Awesome school outreach duo of Harper and +Vincent Knight back in action!

Monmouth Science Initiative 2014
___

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2014-10-07 14:11:26 (2 comments, 0 reshares, 13 +1s)Open 

Had a good session earlier today with my UG class on queueing theory. Getting them also to take a look at some videos including this one I made earlier in the year for a workshop.  And #bribentives  on offer for a photo competition of a queueing system (I hope they use their imagination!) - some were grabbing snaps of the other students queueing for the tutorial sheet on the way out....  Look forward to seeing the entries :)
#ma0261  

Had a good session earlier today with my UG class on queueing theory. Getting them also to take a look at some videos including this one I made earlier in the year for a workshop.  And #bribentives  on offer for a photo competition of a queueing system (I hope they use their imagination!) - some were grabbing snaps of the other students queueing for the tutorial sheet on the way out....  Look forward to seeing the entries :)
#ma0261  ___

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2014-10-05 14:07:41 (3 comments, 2 reshares, 29 +1s)Open 

Certainly feeling autumnal

Certainly feeling autumnal___

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2014-10-03 08:55:41 (5 comments, 0 reshares, 21 +1s)Open 

I always try my hardest do keep my Friday diary clear. It's a day I look forward to for relatively few interruptions and productive time. This morning I decided to hang out in a local coffee house prepping for next week's queueing theory teaching and a quick refresh of +Vincent Knight's computing for mathematics tutorials which I'm delighted to be assisting with again this year.

#coffeeandmath

I always try my hardest do keep my Friday diary clear. It's a day I look forward to for relatively few interruptions and productive time. This morning I decided to hang out in a local coffee house prepping for next week's queueing theory teaching and a quick refresh of +Vincent Knight's computing for mathematics tutorials which I'm delighted to be assisting with again this year.

#coffeeandmath___

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2014-10-02 20:44:02 (3 comments, 0 reshares, 6 +1s)Open 

These are awesome... well at least it attracted the attention of my kids who thought for once I was actually doing some important/exciting work...

"Hack" like a programmer in movies and games!

There's also a demo:
HackerTyper NEO Browser Demo___These are awesome... well at least it attracted the attention of my kids who thought for once I was actually doing some important/exciting work...

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2014-09-30 19:21:38 (2 comments, 0 reshares, 14 +1s)Open 

Finally the Linear Optimization add-on available in Google Drive sheets! #ORMS  

Finally the Linear Optimization add-on available in Google Drive sheets! #ORMS  ___

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2014-09-30 10:41:30 (9 comments, 7 reshares, 35 +1s)Open 

"Life is good for only two things: doing mathematics and teaching mathematics" quoted (apparently) by Simeon Poisson (1781-1840)

Reflecting on my own studies many years ago as a Mathematics undergraduate, it was a pity no course was offered on the history of Mathematics or that lecturers made an effort to discuss, even if in passing, a short biography of those names we became so familiar with during our degree (Lagrange, Laplace, Cantor, Fermat, Riemman, Leibniz etc etc).   So I'm trying to make an effort in my own teaching (and would encourage others to do so as well), starting with a course I'm running for the first time to our second year UGs, kicking off with queueing theory.  Today this included a derivation of the Poisson distribution (the probability of obtaining exactly n successes in N trials given by the limit of a binomial distribution)…

Simeon Poissonwas... more »

"Life is good for only two things: doing mathematics and teaching mathematics" quoted (apparently) by Simeon Poisson (1781-1840)

Reflecting on my own studies many years ago as a Mathematics undergraduate, it was a pity no course was offered on the history of Mathematics or that lecturers made an effort to discuss, even if in passing, a short biography of those names we became so familiar with during our degree (Lagrange, Laplace, Cantor, Fermat, Riemman, Leibniz etc etc).   So I'm trying to make an effort in my own teaching (and would encourage others to do so as well), starting with a course I'm running for the first time to our second year UGs, kicking off with queueing theory.  Today this included a derivation of the Poisson distribution (the probability of obtaining exactly n successes in N trials given by the limit of a binomial distribution)…

Simeon Poisson was born in 1781 in the French town of Pithvier.  His father was a soldier who, on retirement, became the town administrator when the French Revolution broke out. His parents desired for  him to become a medical doctor and his uncle taught him some medicine but his first patient died (although he was assured by fellow practitioners "the event was a very common one").  Nevertheless he vowed not to practice again and instead entered the Ecole Polytechnique in Paris in 1798 to study mathematics where his teachers included Lagrange and Laplace (not bad faculty eh?!).  On graduation he became a lecturer and later a professor publishing more than 300 papers in his career.

The Poisson distribution occupies just a single page of an 1837 paper entitled "Recherches sur la probabilité des jugements en matière criminelle et en matière civile" (Research on the Probability of Judgments in Criminal and Civil Matter).  The work theorised about the number of wrongful convictions in jury cases. However  in that form it did not attract wide attention. 

Ladislaus Bortkiewicz (1868 –1931) was a Russian economist and statistician of Polish ancestry.  In 1898 he published a book about the Poisson distribution, titled The Law of Small Numbers.  It was Bortkiewicz who made the Prussian horse-kick data famous (the data give the number of soldiers killed by being kicked by a horse each year in each of 14 cavalry corps over a 20-year period, which Bortkiewicz showed that followed a Poisson distribution).  I recall being told about the horse-kick data but had always assumed this was Poisson himself who published that work; so I learnt something new today too :)

Yesterday I also discussed with the same class a brief history of Operational Research from it's origins in WWII and Lord Patrick Blackett.  The 100 or so students in the lectures seem at least to appreciate these short historical interludes!

[taken from various sources including "A Short Account of the History of Mathematics" by W. W. Rouse Ball" and a nice collection of short biographies at:
www.maths.tcd.ie/pub/HistMath/People/RBallHist.html]

#mathematics  ___

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2014-09-28 08:52:52 (0 comments, 5 reshares, 25 +1s)Open 

This looks perfect for my 8yo who has really gotten into Scratch :)  

Getting started with programming in Scratch: free 160+ page guide

A lovely guide to programming in Scratch. PDF.

http://scratched.gse.harvard.edu/guide/files/CreativeComputing20140806.pdf___This looks perfect for my 8yo who has really gotten into Scratch :)  

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2014-09-27 18:07:12 (0 comments, 1 reshares, 2 +1s)Open 

Especially for those of you interested in the paradox of faculty development (i.e. why it seems IMPOSSIBLE sometimes), this blog post by Enoch Hale is just super: it describes a kind of thought experiment he did with both students and faculty, with completely opposite results. Am I surprised? Nope! I actually posted a reply in my blog too in addition to leaving it at his blog post... my reply here:
http://oudigitools.blogspot.com/2014/09/enoch-hales-future-of-faculty.html

Especially for those of you interested in the paradox of faculty development (i.e. why it seems IMPOSSIBLE sometimes), this blog post by Enoch Hale is just super: it describes a kind of thought experiment he did with both students and faculty, with completely opposite results. Am I surprised? Nope! I actually posted a reply in my blog too in addition to leaving it at his blog post... my reply here:
http://oudigitools.blogspot.com/2014/09/enoch-hales-future-of-faculty.html___

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2014-09-27 10:38:57 (7 comments, 0 reshares, 24 +1s)Open 

Just the usual Saturday morning here in Monmouth...
www.thesealedknot.org.uk


Just the usual Saturday morning here in Monmouth...
www.thesealedknot.org.uk
___

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2014-09-25 10:10:55 (0 comments, 0 reshares, 2 +1s)Open 

Such a great initiative!

Python Namibia 2015

"This is a fantastic opportunity for the Python community to become involved in a project that has the potential not just to change individuals’ lives, but to make a contribution to the future of an entire region, and we hope it will be eagerly embraced.

We’re calling on members of the international Python community to support Python Namibia 2015 and inviting them to be involved."

Very excited to be part of this awesome initiative lead by +Daniele Procida (of +Django, +django CMS divio...) and Judith Hall of +Cardiff University (as part of the Phoenix Project: http://blogs.cardiff.ac.uk/hallje/category/phoenix-project/).

Please do check out the website and get in touch :)___Such a great initiative!

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2014-09-23 14:56:18 (2 comments, 0 reshares, 16 +1s)Open 

Very nice to welcome our new +Cardiff Maths MSc OR/Stats students today (day 1 of a 3 day induction) before lectures start next week.  43 enrolled including returning part-time students :)

Very nice to welcome our new +Cardiff Maths MSc OR/Stats students today (day 1 of a 3 day induction) before lectures start next week.  43 enrolled including returning part-time students :)___

2014-09-22 15:15:02 (9 comments, 0 reshares, 20 +1s)Open 

Life sucks when you walk down a crowded street full of freshers/freshman and despite the frenzied activities of people handing out leaflets advertising parties, cheap drink, pizza, free condoms etc. not one person handed me anything... :(   #FeelingOld  

Life sucks when you walk down a crowded street full of freshers/freshman and despite the frenzied activities of people handing out leaflets advertising parties, cheap drink, pizza, free condoms etc. not one person handed me anything... :(   #FeelingOld  ___

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2014-09-21 18:57:05 (1 comments, 0 reshares, 3 +1s)Open 

Some really cool looking events.
codeweek.eu
#codeEU

This year the coding map of Europe  looks a lot better than last year. Apparently the number of events has doubled and it’s still three weeks until the EU Code Week officially kicks off.

Map from last year: http://codeweek.eu/map/___Some really cool looking events.
codeweek.eu
#codeEU

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2014-09-19 21:53:59 (0 comments, 0 reshares, 4 +1s)Open 

Neat stuff!

Markov Chains, Tandem Queues, Expected Wait, Linear Algebra and +Sage Mathematical Software System *to do the heavy lifting*.

http://goo.gl/d6KMdE

In this post I describe a Markov model that +James Campbell and I worked on this Summer to calculate the expected wait for a tandem queue with blocking (so to get out of one queue the second has to free up).___Neat stuff!

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2014-09-19 12:11:15 (13 comments, 0 reshares, 17 +1s)Open 

Don't recall receiving such a notification before, but nice anyhow to see 444 of my photos (with 680,000 views) are used.   I've been lucky enough to briefly visit a load of cities these past few months especially.

[and more places/photos so that grumpy traveller +Vincent Knight doesn't haven't to visit irl! ;) #someonehastodoit ]

Don't recall receiving such a notification before, but nice anyhow to see 444 of my photos (with 680,000 views) are used.   I've been lucky enough to briefly visit a load of cities these past few months especially.

[and more places/photos so that grumpy traveller +Vincent Knight doesn't haven't to visit irl! ;) #someonehastodoit ]___

2014-09-19 09:52:15 (3 comments, 1 reshares, 7 +1s)Open 

Two reports now published that came from our work with Welsh Government demonstrating the application of OR.

Two reports now published that came from our work with Welsh Government demonstrating the application of OR.___

2014-09-15 21:40:58 (0 comments, 0 reshares, 10 +1s)Open 

Sweet. Managed to hit submit on this earlier today with minutes to spare - a proposal with myself and +Julie Vile from +Cardiff University and Surgical Director and colleagues at University Hospital Wales. Fingers crossed :)
#healthcaremodelling

Sweet. Managed to hit submit on this earlier today with minutes to spare - a proposal with myself and +Julie Vile from +Cardiff University and Surgical Director and colleagues at University Hospital Wales. Fingers crossed :)
#healthcaremodelling___

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2014-09-14 15:06:04 (3 comments, 1 reshares, 25 +1s)Open 

Breathtaking scenery. Such a stunning city.

Now heading to the airport with +Vincent Knight and +Rhyd Lewis and onto Salvador for the next phase of our visit - the Brazilian OR
society conference :)

Breathtaking scenery. Such a stunning city.

Now heading to the airport with +Vincent Knight and +Rhyd Lewis and onto Salvador for the next phase of our visit - the Brazilian OR
society conference :)___

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2014-09-12 13:55:39 (10 comments, 1 reshares, 18 +1s)Open 

+Vincent Knight's turn to talk during our visit to the Federal University of Rio de Janeiro, outlining the game theoretical and queuing theory research.

+Vincent Knight's turn to talk during our visit to the Federal University of Rio de Janeiro, outlining the game theoretical and queuing theory research.___

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2014-09-12 00:40:39 (0 comments, 0 reshares, 8 +1s)Open 

Sorry to have missed this today!

Really enjoyed discussing some of the more fun, practical and real-life applications of OR with a group of 16-18 year olds at the Young People's Programme at the British Science Festival this morning with +Louise Orpin and a scary +Noel-Ann Bradshaw (or should I say 'Florence'). +Paul Harper's real-life similation excercise (getting the students themselves to act as germs moving around the classroom, simulating the spread of disease) went down a treat, although we still had a few 'infected' students left at the end!___Sorry to have missed this today!

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2014-09-10 13:00:43 (2 comments, 1 reshares, 19 +1s)Open 

Our +Cardiff Maths MSc OR/Stats did a great job!

Our +Cardiff Maths MSc OR/Stats did a great job!___

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2014-09-09 09:45:58 (7 comments, 0 reshares, 10 +1s)Open 

Was great fun to make :) 

Lecturing how to ride a bike wouldn't work.

Here's +Paul Harper's awesome video about active learning.

The awesome cast includes his children and the underlying plot being how to learn to ride a bike. Really great video, very funny and passing on a very important message. If you are at all interested in education you should spend some time (<5 minutes) watching this.

http://youtu.be/Bjio9RitzNU

#cetlmsor14 ___Was great fun to make :) 

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2014-09-08 15:28:32 (2 comments, 0 reshares, 21 +1s)Open 

Very nice to discover this in my post tray - a nomination from the team for a University prize. Thanks +Julie Vile and +Vincent Knight for initiating the nomination. Greatly appreciated - it is truly a whole team effort that drives the success :)

Very nice to discover this in my post tray - a nomination from the team for a University prize. Thanks +Julie Vile and +Vincent Knight for initiating the nomination. Greatly appreciated - it is truly a whole team effort that drives the success :)___

2014-09-08 07:26:45 (0 comments, 0 reshares, 3 +1s)Open 

This morning we are welcoming visiting Mathematicians from Xiamen University, China (http://www.xmu.edu.cn/en/); then to join the CETL-MSOR conference (http://www.sigma-network.ac.uk/cetl-msor/cetl-msor-conference-2014/) where I'm giving a keynote tomorrow am.

This morning we are welcoming visiting Mathematicians from Xiamen University, China (http://www.xmu.edu.cn/en/); then to join the CETL-MSOR conference (http://www.sigma-network.ac.uk/cetl-msor/cetl-msor-conference-2014/) where I'm giving a keynote tomorrow am.___

2014-09-04 12:49:25 (11 comments, 0 reshares, 14 +1s)Open 

It's my 23rd birthday (yet again...) today, so seems as good a time as any to start brushing up on my French and wanting to learn some Portuguese too (off to Brazil with work soon so could come in useful). Been using +Duolingo app on my phone which I'd totally recommend. Getting into the habit of a grabbing a few minutes each day to learn :)

#languages

It's my 23rd birthday (yet again...) today, so seems as good a time as any to start brushing up on my French and wanting to learn some Portuguese too (off to Brazil with work soon so could come in useful). Been using +Duolingo app on my phone which I'd totally recommend. Getting into the habit of a grabbing a few minutes each day to learn :)

#languages___

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2014-09-01 11:54:41 (4 comments, 0 reshares, 14 +1s)Open 

So I think I'll now work from home the rest of this week instead of battling my way each day driving past the Celtic Manor resort and on into Cardiff. The Celtic Manor (Newport) is home to this week's NATO summit (4-5 Sept) and will be the largest gathering of international leaders ever to take place in Britain: 60 world leaders, 70 foreign ministers, 70 defence ministers and 28 NATO member countries (plus 1,200 journalists/media) and who knows how many protestors...    I've never seen so many police in one area and moving around is becoming tricky.  But hey, it's good for Wales apparently... :)

Photo from Wales Online (http://goo.gl/cSRF1c)

#natosummituk  

So I think I'll now work from home the rest of this week instead of battling my way each day driving past the Celtic Manor resort and on into Cardiff. The Celtic Manor (Newport) is home to this week's NATO summit (4-5 Sept) and will be the largest gathering of international leaders ever to take place in Britain: 60 world leaders, 70 foreign ministers, 70 defence ministers and 28 NATO member countries (plus 1,200 journalists/media) and who knows how many protestors...    I've never seen so many police in one area and moving around is becoming tricky.  But hey, it's good for Wales apparently... :)

Photo from Wales Online (http://goo.gl/cSRF1c)

#natosummituk  ___

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2014-09-01 08:11:14 (0 comments, 1 reshares, 6 +1s)Open 

A European-wide* competition for undergraduate and postgraduate students working in the mathematical sciences to convey the potential influence of their work.

* "Entrants must be registered for a first or higher degree and studying at a European university on 16th October 2014. They need not be working in a department of mathematics, but their research must be mathematical in nature. Entries can be drawn from all areas of pure and applied mathematics, statistics or operational research. It is anticipated that in many cases the research that underpins entries will be work in progress."

A European-wide* competition for undergraduate and postgraduate students working in the mathematical sciences to convey the potential influence of their work.

* "Entrants must be registered for a first or higher degree and studying at a European university on 16th October 2014. They need not be working in a department of mathematics, but their research must be mathematical in nature. Entries can be drawn from all areas of pure and applied mathematics, statistics or operational research. It is anticipated that in many cases the research that underpins entries will be work in progress."___

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2014-09-01 07:29:18 (1 comments, 2 reshares, 7 +1s)Open 

Haha.
I'm going to start training my kids now before they reach those particularly challenging teenage years... I can think of plenty more topics for videos...

I have to start doing this

Teenage Instructional Video - How to change a toi…: http://youtu.be/pN0Y2EZuvTU___Haha.
I'm going to start training my kids now before they reach those particularly challenging teenage years... I can think of plenty more topics for videos...

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2014-08-27 17:27:13 (1 comments, 1 reshares, 8 +1s)Open 

With +Noel-Ann Bradshaw :)

Citizen Maths: open, free math education for adults

citizenmaths.com/

(via boingboing.net/2014/08/27/citizen-maths-open-free-math.html)___With +Noel-Ann Bradshaw :)

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2014-08-27 09:44:43 (2 comments, 0 reshares, 14 +1s)Open 

Final Baltic port of call in Copenhagen! Probably the best place we visited for tourist technology friendly - lots of free wifi and routes to scan in for google maps :)

Final Baltic port of call in Copenhagen! Probably the best place we visited for tourist technology friendly - lots of free wifi and routes to scan in for google maps :)___

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2014-08-25 10:41:48 (2 comments, 0 reshares, 21 +1s)Open 

Vår resa fortsätter ... Hälsningar från underbara Stockholm, Sverige!
(yay, and free wifi on the boat!)

Vår resa fortsätter ... Hälsningar från underbara Stockholm, Sverige!
(yay, and free wifi on the boat!)___

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