tag:blogger.com,1999:blog-68803403390195155912024-03-19T20:50:33.061-07:00Time to BlogAbhay Parekhhttp://www.blogger.com/profile/18164738483586472890noreply@blogger.comBlogger35125tag:blogger.com,1999:blog-6880340339019515591.post-34619552515005328712014-06-15T18:16:00.001-07:002014-06-16T08:29:16.799-07:00Project Euler hacked<div dir="ltr" style="text-align: left;" trbidi="on">
Why anyone would want to pick on a non-profit nichey math puzzle site is beyond me...<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgV4BQ0qNMzCRY12vf0Y9pAgtLMbXrmwFdsrKg3odf9s1HP8HjqnghT-fhaF1gjTDVBoUEoOEYLgGYTcjznVqEKUYbMrdeYmE-UEnvCwJO7asdmrwhUvqHytpBW-AcIxsyg-3S6AVbZMK0/s1600/eulerdown.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgV4BQ0qNMzCRY12vf0Y9pAgtLMbXrmwFdsrKg3odf9s1HP8HjqnghT-fhaF1gjTDVBoUEoOEYLgGYTcjznVqEKUYbMrdeYmE-UEnvCwJO7asdmrwhUvqHytpBW-AcIxsyg-3S6AVbZMK0/s1600/eulerdown.jpg" height="121" width="320" /></a></div>
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<u><a href="http://projecteuler.net/" target="_blank">Here</a>.</u></div>
Abhay Parekhhttp://www.blogger.com/profile/18164738483586472890noreply@blogger.com0tag:blogger.com,1999:blog-6880340339019515591.post-53839187578393736282014-06-10T20:04:00.001-07:002014-06-11T18:01:57.307-07:00Project Euler<div dir="ltr" style="text-align: left;" trbidi="on">
I spent a lot of time being frustrated with <a href="https://projecteuler.net/problem=472">Problem 472 </a>. It seems like a problem that should admit to a nice closed form solution but solving it ended up being a (fun) pattern matching exercise.<br />
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The main thing to realize is that you are asked to sum the function $f$ over $10^{12}$ terms, but there is really no way to do that in under 1 minute of execution time. (Of course, I did not realize this until I had spent a great deal of time devising efficient algorithms for evaluating $f$ at a single value.)<br />
You have to group the terms and add over the groups. One way yields about $\log N$ terms, which<br />
brings the execution time down to < 0.1s.<br />
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It's all about pattern matching -- I guess....hacking + math = project euler<br />
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Abhay Parekhhttp://www.blogger.com/profile/18164738483586472890noreply@blogger.com0tag:blogger.com,1999:blog-6880340339019515591.post-78377630680875351132014-05-24T21:47:00.001-07:002014-05-25T11:34:53.901-07:00Paul Otlet, a great man way before his time<div dir="ltr" style="text-align: left;" trbidi="on">
Otlet an idealistic, Belgian visionary thought that exposing the interconnectedness of the world's information would make it a more peaceful place. He could foresee a day when<br />
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<span style="background-color: white; font-family: 'Helvetica Neue', Helvetica, arial, sans-serif; font-size: 12px; line-height: 17.399999618530273px;">All the things of the universe and all those of man would be registered from afar as they were produced. Thus the moving image of the world would be established—its memory, its true duplicate. From afar anyone would be able to read the passage, expanded or limited to the desired subject, that could be projected on his individual screen. Thus, in his armchair, anyone would be able to contemplate the whole of creation.</span></blockquote>
Unfortunately, he lived from <span style="background-color: white; color: #252525; font-family: sans-serif; font-size: 14px; line-height: 22.399999618530273px;">23 August 1868 – 10 December 1944. He had no reasonable way to realize his vision. He thought of the world as a collection of Documents that needed to be classified and cross referenced. To this end he designed an extremely elaborate cataloging system called the Universal Decimal System that he then used to create a mammoth collection (12 million) of index cards. </span><br />
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<span style="background-color: white; color: #252525; font-family: sans-serif; font-size: 14px; line-height: 22.399999618530273px;"><br /></span>
<span style="background-color: white; color: #252525; font-family: sans-serif;"><span style="font-size: 14px; line-height: 22.399999618530273px;">He got all this funded to create an impressive operation called the Mundaneum but like any failed startup, his backers eventually refused to infuse more capital and the Mundaneum folded. He died mostly a forgotten man, although not soon thereafter, in 1945, Vannevar Bush wrote the </span><a href="http://www.theatlantic.com/magazine/archive/1945/07/as-we-may-think/303881/" style="font-size: 14px; line-height: 22.399999618530273px;" target="_blank">seminal Atlantic article</a><span style="font-size: 14px; line-height: 22.399999618530273px;"> that in several ways </span><span style="font-size: 14px; line-height: 22px;">presaged</span><span style="font-size: 14px; line-height: 22.399999618530273px;"> </span><span style="font-size: 14px; line-height: 22px;">the</span><span style="font-size: 14px; line-height: 22.399999618530273px;"> WWW. </span></span><br />
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<span style="background-color: white; color: #252525; font-family: sans-serif; font-size: 14px; line-height: 22.399999618530273px;"><br /></span>
<span style="background-color: white; color: #252525; font-family: sans-serif; font-size: 14px; line-height: 22.399999618530273px;">There is a <a href="http://www.amazon.com/Cataloging-World-Otlet-Birth-Information-ebook/dp/B00JDLCZ28/ref=la_B001ILKH6W_1_1?s=books&ie=UTF8&qid=1400992346&sr=1-1" target="_blank">new book</a> about Otlet, but to get a really deep sense of who this man was and what he tried to do, I highly recommend wonderfully evocative online exhibit of Molly Springfield called <a href="http://canopycanopycanopy.com/series/the_page_and_the_screen/contents/inside_the_mundaneum" target="_blank">Inside the Mundaneum</a>. </span><br />
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Abhay Parekhhttp://www.blogger.com/profile/18164738483586472890noreply@blogger.com0tag:blogger.com,1999:blog-6880340339019515591.post-37673211474242894272014-05-24T20:12:00.000-07:002014-06-12T08:19:26.872-07:00Thoughts on Project Euler<div dir="ltr" style="text-align: left;" trbidi="on">
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<a href="https://projecteuler.net/" target="_blank">Project Euler</a> describes itself as a<br />
<blockquote class="tr_bq" style="background-color: #fcfcfc; color: #111111; line-height: 27.033599853515625px; overflow-x: auto;">
<span style="background-color: white; color: black; font-family: 'Trebuchet MS', sans-serif; line-height: normal; white-space: normal;">series of challenging mathematical/computer programming problems that will require more than just mathematical insights to solve. Although mathematics will help you arrive at elegant and efficient methods, the use of a computer and programming skills will be required to solve most problems.</span></blockquote>
I've worked my through about 150 of the approximately 500 problems over the last few months, and it's been a lot of fun!<br />
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<a href="https://projecteuler.net/profile/howzat2.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://projecteuler.net/profile/howzat2.png" /></a></div>
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The obvious difference between these problems and the brainteasers is that you are required to use some math (not advanced math, but math nonetheless). You end up looking up cool stuff on the wikipedia. A problem on prime numbers may have you reacquainting yourself with the <a href="http://en.wikipedia.org/wiki/Sieve_of_Eratosthenes">Sieve of Eratosthenes </a> as a fast way of generating prime numbers, and delving into the details of the <a href="http://en.wikipedia.org/wiki/Miller-Rabin_primality_test" target="_blank">Miller Rabin Primality</a> Test for the first time. When I say "delving into the details" what I really mean is that you learn enough to be able to implement it in code. This isn't super deep but deeper than most of us would go if weren't focused on solving a concrete problem. <br />
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The problems that I like best follow a specific pattern: the setting involves a game or a process that can be easily simulated in a few lines of code. One is asked to compute some function, which again can be easily coded. But the kicker is that one has to provide the answer to the function for some gargantuan input like \(10^{12}\) and the nifty lines of code one has written so far would have to run for eternity to arrive at the answer. It is the process of rethinking one's approach so that the answer is computable in about a minute's worth of running time is what is most fun and rewarding about Project Euler.<br />
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An example of this (and one that I would rate as moderately hard on the "Euler Scale") is <a href="https://projecteuler.net/problem=469" target="_blank">Problem 469</a>, which concerns itself with knights sitting around a table. We have a round table with $n$ seats and Knights enter the room sequentially. The first knight picks any chair and blocks the seats to his immediate left and right. Then the next knight enters and picks one of the available seats uniformly at random. This goes on until a Knight cannot be seated. The question concerns the average fraction of seats that remain empty. Now for a small value of $n$ (say $1000$), this is not hard to compute. One simulates the knight seating process and estimates the average. But the problem asks to compute the answer for $10^{18}$ and it wants the answer to be correct to many significant digits. Well, what to do now? That is the typical kind of dilemma I face when attempting Euler problems.<br />
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When you do solve a problem correctly you get access to a terrific forum in which people post their code. I am constantly amazed at the range of approaches people from all over the world use in their solutions.<br />
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Bottom line, start solving these problems if you like math, brainteasers and have a basic knowledge of programming. You will lean a lot and have fun doing it!<br />
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Abhay Parekhhttp://www.blogger.com/profile/18164738483586472890noreply@blogger.com0tag:blogger.com,1999:blog-6880340339019515591.post-71571428615698217342011-11-03T14:55:00.000-07:002011-11-03T14:55:05.157-07:00The Importance of English<a href="http://www.nytimes.com/2011/11/06/education/edlife/the-china-conundrum.html?_r=1&hpw">The China Conundrum - NYTimes.com</a>: <div>Great article highlights the growth of middle class eager to enter the English speaking world....</div><div><br /></div><div><blockquote>"College officials and consultants say they are seeing widespread fabrication on applications, whether that means a personal essay written by an agent or an English proficiency score that doesn’t jibe with a student’s speaking ability. American colleges, new to the Chinese market, struggle to distinguish between good applicants and those who are too good to be true."<br /></blockquote><br /><br /></div>Abhay Parekhhttp://www.blogger.com/profile/18164738483586472890noreply@blogger.com0tag:blogger.com,1999:blog-6880340339019515591.post-87993620214334472232011-10-29T22:43:00.000-07:002011-10-29T22:43:26.182-07:00Royal Society Opens Online Archive; Puts 60,000 Papers Online<a href="http://feedproxy.google.com/~r/OpenCulture/~3/lDF4w4iFzto/royal_society_opens_online_archive_puts_60000_papers_online.html">Royal Society Opens Online Archive; Puts 60,000 Papers Online</a>: <p><a href="http://royalsociety.org/news/Royal-Society-journal-archive-made-permanently-free-to-access/"><img title="newtons_telescope" src="http://cdn.openculture.com/wp-content/uploads/2011/10/newtons_telescope.jpg" alt="" width="450" height="200" /></a><br /><br />Maggie Koerth-Baker of <a href="http://boingboing.net/2011/10/26/royal-society-opens-archive-kills-productivity.html">BoingBoing writes</a>:</p><br /><blockquote><p>60,000 peer-reviewed papers, including the first peer-reviewed scientific research journal in the world, <a href="http://royalsociety.org/news/Royal-Society-journal-archive-made-permanently-free-to-access/">are now available free online</a>. The Royal Society has opened its historical archives to the public. Among the cool stuff you’ll find here:<a href="http://rstl.royalsocietypublishing.org/content/6/69-80/3075.full.pdf+html?sid=0d477dd8-8dec-4ac3-8187-b6df96d4d670"> Issac Newton’s first published research paper</a> and Ben Franklin’s write-up about<a href="http://rstl.royalsocietypublishing.org/content/47/565.full.pdf+html?sid=491066f9-1f77-4232-a45c-3e859a60867e"> that famous kite experiment</a>. Good luck getting anything accomplished today. Or ever again. —</p></blockquote><br /><p>Newton’s telescope appears in the image above</p><img src="http://feeds.feedburner.com/~r/OpenCulture/~4/lDF4w4iFzto" height="1" width="1" />Abhay Parekhhttp://www.blogger.com/profile/18164738483586472890noreply@blogger.com0tag:blogger.com,1999:blog-6880340339019515591.post-40822972850407785342011-10-24T08:46:00.000-07:002011-10-24T08:47:41.932-07:00Tintin and the war - FT.com<div dir="ltr" style="text-align: left;" trbidi="on">
<a href="http://www.ft.com/intl/cms/s/2/2f9b1552-faa5-11e0-8fe7-00144feab49a.html#axzz1beABhwNH">Tintin and the war</a>: If you have any interest in Herge, Tintin's creator...<br />
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<br />
<img alt="Tintin" src="http://im.media.ft.com/content/images/09cb69c4-fac5-11e0-8fe7-00144feab49a.img" /></div>
</div>Abhay Parekhhttp://www.blogger.com/profile/18164738483586472890noreply@blogger.com0tag:blogger.com,1999:blog-6880340339019515591.post-11895254693345918082011-10-19T09:58:00.000-07:002011-10-19T09:58:22.362-07:00"Super Cool" Levitation<object style="height: 390px; width: 640px"><param name="movie" value="http://www.youtube.com/v/Ws6AAhTw7RA?version=3"><param name="allowFullScreen" value="true"><param name="allowScriptAccess" value="always"><embed src="http://www.youtube.com/v/Ws6AAhTw7RA?version=3" type="application/x-shockwave-flash" allowfullscreen="true" allowScriptAccess="always" width="640" height="360"></object>Abhay Parekhhttp://www.blogger.com/profile/18164738483586472890noreply@blogger.com0tag:blogger.com,1999:blog-6880340339019515591.post-51168792847968866192011-10-18T14:05:00.000-07:002011-10-18T14:05:40.877-07:00Equity and Fairness<img src="http://i.imgur.com/JcS2H.png" />Abhay Parekhhttp://www.blogger.com/profile/18164738483586472890noreply@blogger.com0tag:blogger.com,1999:blog-6880340339019515591.post-27256886011304741752011-10-18T13:59:00.000-07:002011-10-18T13:59:42.327-07:00Doodling in Math Class: Infinity Elephants - YouTube<a href="http://www.youtube.com/watch?v=DK5Z709J2eo&feature=player_embedded#!">Doodling in Math Class: Infinity Elephants</a><iframe width="420" height="315" src="http://www.youtube.com/embed/DK5Z709J2eo" frameborder="0" allowfullscreen=""></iframe>"<br /><br /><a style="font-size:13px" href="https://chrome.google.com/webstore/detail/pengoopmcjnbflcjbmoeodbmoflcgjlk">A</a>bsolutely excellent!Abhay Parekhhttp://www.blogger.com/profile/18164738483586472890noreply@blogger.com0tag:blogger.com,1999:blog-6880340339019515591.post-45185537268382898012011-10-18T12:21:00.000-07:002011-10-18T12:21:43.422-07:00Phantom Time | Features | Fortean Times<a href="http://www.forteantimes.com/features/articles/5593/phantom_time.html">Were the Middle Ages just a historical conspiracy theory?</a>:<br /><br /><img src="http://photos.forteantimes.com/images/front_picture_library_UK/dir_21/fortean_times_10723_7.jpg" alt="Phantom Time" />Abhay Parekhhttp://www.blogger.com/profile/18164738483586472890noreply@blogger.com0tag:blogger.com,1999:blog-6880340339019515591.post-58467966128962643602011-10-18T12:20:00.000-07:002011-10-18T12:20:46.835-07:00The Tea Party and #OWS, in Venn Diagram Form<a href="http://www.slate.com/blogs/weigel/2011/10/14/the_tea_party_and_ows_in_venn_diagram_form.html">The Tea Party and #OWS, in Venn Diagram Form</a>:<br /><br /><img src="http://www.slate.com/content/dam/slate/articles/news_and_politics/politics/2011/10/occupywallstgfx/111012_venndiagram.gif" />Abhay Parekhhttp://www.blogger.com/profile/18164738483586472890noreply@blogger.com0tag:blogger.com,1999:blog-6880340339019515591.post-49461958456816092322011-10-18T12:19:00.000-07:002011-10-18T12:19:35.736-07:00Paris Review – A Doyle Man, Michael Dirda<a href="http://www.theparisreview.org/blog/2011/09/21/a-doyle-man/">Paris Review – A Doyle Man, Michael Dirda</a>:<br /><br /><img src="http://www.theparisreview.org/blog/wp-content/uploads/2011/09/Conan_Doyle.jpg" /><br /><div>Really wonderful account by a TRUE fan.</div>Abhay Parekhhttp://www.blogger.com/profile/18164738483586472890noreply@blogger.com0tag:blogger.com,1999:blog-6880340339019515591.post-14773246518484697852011-10-16T11:43:00.000-07:002011-10-16T11:43:55.073-07:00Share<a href="http://www.prospectmagazine.co.uk/2011/09/quantum-theory-paradox-philip-ball-new-pursuit-of-schrodinger%E2%80%99s-cat/">Shut up and Calculate!</a>Abhay Parekhhttp://www.blogger.com/profile/18164738483586472890noreply@blogger.com0tag:blogger.com,1999:blog-6880340339019515591.post-50321674780320400922011-10-16T11:31:00.000-07:002011-10-16T11:31:00.106-07:00Haiti Doesn't Need Your Old T-Shirt - By Charles Kenny | Foreign Policy<a href="http://www.foreignpolicy.com/articles/2011/10/11/haiti_doesnt_need_your_old_tshirt#.Tpsi0ILrB2o.blogger">Haiti Doesn't Need Your Old T-Shirt - By Charles Kenny | Foreign Policy</a>Abhay Parekhhttp://www.blogger.com/profile/18164738483586472890noreply@blogger.com0tag:blogger.com,1999:blog-6880340339019515591.post-38227804689350767842011-10-10T17:04:00.000-07:002011-10-10T17:04:03.732-07:00The other side of Elearning<div>This article highlights the perils of exaggerating the benefits of elearning. I was surprised to learn that classroom-based software is a $2.2 billion market.</div><div><br /></div><a href="http://www.nytimes.com/2011/10/09/technology/a-classroom-software-boom-but-mixed-results-despite-the-hype.html">A Classroom Software Boom, but Mixed Results Despite the Hype - NYTimes.com</a>:<div><br /></div><div><blockquote>"Carnegie, one of the most respected of the educational software firms, is hardly alone in overpromising or misleading. The Web site of Houghton Mifflin Harcourt says that “based on scientific research, Destination Reading is a powerful early literacy and adolescent literacy program,” but it fails to mention that it was one of the products the Department of Education found in 2009 not to have statistically significant effects on test scores.<br /><br />Similarly, Pearson’s Web site cites several studies of its own to support its claim that Waterford Early Learning improves literacy, without acknowledging the same 2009 study’s conclusion that it had little impact."</blockquote><br /><br /></div>Abhay Parekhhttp://www.blogger.com/profile/18164738483586472890noreply@blogger.com0tag:blogger.com,1999:blog-6880340339019515591.post-32025176735546573742011-10-10T16:57:00.000-07:002011-10-10T16:57:22.677-07:00Credible prediction of a full-on recession?An outfitcalled ECRI which claims to have correctly called the last three recessions with no false alarms in between is putting its stake in the ground by <div>saying that there really anything any body can do at this point to stave off a recession. In the promo for their new report (<a href="http://www.businesscycle.com/reports_indexes/reportsummarydetails/1091">U.S. Economy Tipping into Recession</a>) they summarize:</div><div><div> <blockquote>"Here’s what ECRI’s recession call really says: if you think this is a bad economy, you haven’t seen anything yet. And that has profound implications for both Main Street and Wall Street."<br /></blockquote><br /><br /></div></div>Abhay Parekhhttp://www.blogger.com/profile/18164738483586472890noreply@blogger.com0tag:blogger.com,1999:blog-6880340339019515591.post-8160424293888289702011-09-30T10:02:00.000-07:002011-09-30T10:02:29.192-07:00Odd ball problem: My first Javascript Program!<div dir="ltr" style="text-align: left;" trbidi="on">
<a href="http://www.tecknowbasic.com/w3.html">Check it out!</a><br />
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I'd be curious to know what you think...both in terms of the algorithm and the Javascript.</div>
Abhay Parekhhttp://www.blogger.com/profile/18164738483586472890noreply@blogger.com2tag:blogger.com,1999:blog-6880340339019515591.post-57346787863889133572011-09-23T23:47:00.000-07:002011-09-24T00:18:43.568-07:00Try The McGurk Effect! - Horizon: Is Seeing Believing? - BBC Two - YouTube<div dir="ltr" style="text-align: left;" trbidi="on">
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<a href="http://www.youtube.com/watch?v=G-lN8vWm3m0&feature=player_embedded">Try The McGurk Effect! </a><br />
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Abhay Parekhhttp://www.blogger.com/profile/18164738483586472890noreply@blogger.comtag:blogger.com,1999:blog-6880340339019515591.post-1269695890544063002011-09-20T23:05:00.000-07:002011-09-20T23:05:56.603-07:00Dartmouth Atlas of Health Care<a href="http://www.dartmouthatlas.org/">Dartmouth Atlas of Health Care</a>:<br />Extremely revealing statistics on healthcare delivery in the US. <div>Even has data by hospital!</div>Abhay Parekhhttp://www.blogger.com/profile/18164738483586472890noreply@blogger.com0tag:blogger.com,1999:blog-6880340339019515591.post-50264458759908562892011-09-20T22:08:00.000-07:002011-09-20T22:08:17.366-07:00Paying for Attention<div>While it is very difficult to quantify the notion of attention it is nice to see this <a href="http://www.project-syndicate.org/commentary/dyson36/English">attempt by Esther Dyson</a>. </div>Abhay Parekhhttp://www.blogger.com/profile/18164738483586472890noreply@blogger.com0tag:blogger.com,1999:blog-6880340339019515591.post-86077198161540437562011-09-19T12:00:00.000-07:002011-09-19T12:00:55.284-07:00Media about MediaThe <a href="http://couros.wikispaces.com/TechAndMediaLiteracyVids">Open Thinking Wiki</a> has lots of fun and informative videos about the way in which social media is changing our world.<div>Everything from the action packed five minutes of </div><div>"The Machine is Us/ing us" to the more cerebral and ominous "Manufacturing Consent".<br /><br /><br /></div>Abhay Parekhhttp://www.blogger.com/profile/18164738483586472890noreply@blogger.com0tag:blogger.com,1999:blog-6880340339019515591.post-57226836379883176202011-09-18T21:03:00.000-07:002011-09-22T09:52:32.278-07:00Big 8 Ride: Florence-Greve<div dir="ltr" style="text-align: left;" trbidi="on">
<a href="http://www.mapmyride.com/routes/fullscreen/11995920/">Do this ride when you are in Florence!</a><br />
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It took me less than half a day, and was a welcome reprieve from the Firenze crowds.<br />
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Get your bike rental from <a href="http://www.florencebybike.it/">here</a>. They are extremely helpful!</div>
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Abhay Parekhhttp://www.blogger.com/profile/18164738483586472890noreply@blogger.comtag:blogger.com,1999:blog-6880340339019515591.post-80074255785588267582011-09-18T21:00:00.000-07:002011-09-18T21:00:28.886-07:00InfoQ: Gregory Brown on the Ruby Mendicant University<a href="http://www.infoq.com/interviews/brown-ruby-mendicant-university;jsessionid=83ACD64CCDE70FF7D6023FEBF9D8DBC7">InfoQ: Gregory Brown on the Ruby Mendicant University</a>:<br /><br /><div><br /></div><div>This is apprenticeship learning taken online. </div>Abhay Parekhhttp://www.blogger.com/profile/18164738483586472890noreply@blogger.com0tag:blogger.com,1999:blog-6880340339019515591.post-80510366780409818622011-09-18T20:58:00.000-07:002011-09-18T20:58:00.137-07:00The Digital Revolution and Higher Education | Pew Social & Demographic Trends<a href="http://pewsocialtrends.org/2011/08/28/the-digital-revolution-and-higher-education/#executive-summary">The Digital Revolution and Higher Education | Pew Social & Demographic Trends</a>:<br /><br /><div>It appears as though the online learning revolution is more likely to come from outside the mainstream education establishment.</div>Abhay Parekhhttp://www.blogger.com/profile/18164738483586472890noreply@blogger.com0