plus.maths.org
https://plus.maths.org/content
enSnakes and adders
https://plus.maths.org/content/snakes-and-adders
<div class="field field-type-text field-field-author">
<div class="field-items">
<div class="field-item odd">
Marianne Freiberger </div>
</div>
</div>
<div class="field field-type-filefield field-field-abs-img">
<div class="field-items">
<div class="field-item odd">
<img class="imagefield imagefield-field_abs_img" width="100" height="100" alt="" src="https://plus.maths.org/content/sites/plus.maths.org/files/abstractpics/5/28_apr_2016_-_1234/adders_icon.jpg?1461846897" /> </div>
</div>
</div>
<div class="field field-type-text field-field-abs-txt">
<div class="field-items">
<div class="field-item odd">
<p>How can an electronic device fed on a diet of 0s and 1s perform complex tasks? We explore the workings of computers using an example.</p>
</div>
</div>
</div>
<p>Most people probably know that computers work on 0s and 1s. And,
being electronic devices,
it's also pretty obvious that they work on some kind of electronic
circuits. But how do these things fit together and how to computers
actually manage to perform their tasks?</p><p><a href="https://plus.maths.org/content/snakes-and-adders" target="_blank">read more</a></p>https://plus.maths.org/content/snakes-and-adders#commentsbinary arithmeticcomputer scienceFP-top-storyFri, 29 Apr 2016 10:42:57 +0000mf3446388 at https://plus.maths.org/contentHappy birthday Claude Shannon!
https://plus.maths.org/content/happy-birthday-claude-shannon
<div class="field field-type-filefield field-field-abs-img">
<div class="field-items">
<div class="field-item odd">
<img class="imagefield imagefield-field_abs_img" width="100" height="100" alt="" src="https://plus.maths.org/content/sites/plus.maths.org/files/abstractpics/5/26_apr_2016_-_1337/shannon_icon.png?1461677823" /> </div>
</div>
</div>
<div class="field field-type-text field-field-abs-txt">
<div class="field-items">
<div class="field-item odd">
You may not have heard his name, but you're making use of his work
every single day: Claude Shannon, hailed the father of the
information age, would have turned 100 this week. </div>
</div>
</div>
<p>You may not have heard his name, but you're making use of his work
many times over every single day: <a href="http://www-groups.dcs.st-and.ac.uk/~history/Biographies/Shannon.html">Claude Shannon</a>, hailed by many as the father of the
information age, would have turned 100 this week, on April 30
2016.</p><p><a href="https://plus.maths.org/content/happy-birthday-claude-shannon" target="_blank">read more</a></p>https://plus.maths.org/content/happy-birthday-claude-shannon#commentscomputer scienceFP-top-storyinformationInformation theoryFri, 29 Apr 2016 09:12:26 +0000mf3446555 at https://plus.maths.org/contentMathematical moments: Vicky Neale
https://plus.maths.org/content/mathematical-moments-vicky-neale
<p><a href="http://people.maths.ox.ac.uk/neale/">Vicky Neale</a> loves maths because it's a real challenge. Find out about two of her favourite mathematical experiences and why she thinks that maths is an adventure that requires some daring.</p>
<iframe width="560" height="315" src="https://www.youtube.com/embed/CnUoAeOWcZY" frameborder="0" allowfullscreen></iframe>https://plus.maths.org/content/mathematical-moments-vicky-neale#commentscreativityFP-belowvideoFri, 29 Apr 2016 08:25:57 +0000mf3446558 at https://plus.maths.org/contentMaths in a minute: Boolean algebra
https://plus.maths.org/content/maths-minute-boolean-algebra
<div class="field field-type-filefield field-field-abs-img">
<div class="field-items">
<div class="field-item odd">
<img class="imagefield imagefield-field_abs_img" width="100" height="100" alt="" src="https://plus.maths.org/content/sites/plus.maths.org/files/abstractpics/4/29_apr_2016_-_1015/icon.jpg?1461924922" /> </div>
</div>
</div>
<div class="field field-type-text field-field-abs-txt">
<div class="field-items">
<div class="field-item odd">
<p>Meet the algebra at the heart of your computer!</p>
</div>
</div>
</div>
<div class="rightimage">
<table border="1" cellpadding="20px"><tr><td><em>A</em></td><td><em>B</em></td><td><em>A</em> AND <em>B</em></td></tr>
<tr><td>True</td><td>True</td><td>True</td></tr>
<tr><td>True</td><td>False</td><td>False</td></tr>
<tr><td>False</td><td>True</td><td>False</td></tr>
<tr><td>False</td><td>False</td><td>False</td></tr></td>
</table>
<p>A simple truth table showing all the <br/>possible values of "<em>A</em> AND <em>B</em>".</p><p><a href="https://plus.maths.org/content/maths-minute-boolean-algebra" target="_blank">read more</a></p>https://plus.maths.org/content/maths-minute-boolean-algebra#commentsbinary logicboolean algebraFP-belowThu, 28 Apr 2016 13:01:41 +0000Rachel6557 at https://plus.maths.org/contentMaths in a minute: Simplifying circuits
https://plus.maths.org/content/maths-minute-simplifying-circuits
<div class="field field-type-filefield field-field-abs-img">
<div class="field-items">
<div class="field-item odd">
<img class="imagefield imagefield-field_abs_img" width="100" height="100" alt="" src="https://plus.maths.org/content/sites/plus.maths.org/files/abstractpics/4/29_apr_2016_-_1020/ciruit_icon.jpg?1461925226" /> </div>
</div>
</div>
<div class="field field-type-text field-field-abs-txt">
<div class="field-items">
<div class="field-item odd">
<p>Claude Shannon's ingenious insight linking physical circuits with Boolean algebra paved the way for modern computing.</p>
</div>
</div>
</div>
<p>
Most of us are aware that the work done by our computers is accomplished by breaking tasks down into a series of just a few logical operations. These operations – AND, OR and NOT – can be physically represented in the computer circuits and mathematically representation using <em>Boolean algebra</em>.<p><a href="https://plus.maths.org/content/maths-minute-simplifying-circuits" target="_blank">read more</a></p>https://plus.maths.org/content/maths-minute-simplifying-circuits#commentsboolean algebracomputer scienceFP-top-storyThu, 28 Apr 2016 13:00:10 +0000Rachel6556 at https://plus.maths.org/contentExplaining weirdness with weirdness
https://plus.maths.org/content/explaining-weirdness-weirdness
<div class="field field-type-filefield field-field-abs-img">
<div class="field-items">
<div class="field-item odd">
<img class="imagefield imagefield-field_abs_img" width="100" height="100" alt="" src="https://plus.maths.org/content/sites/plus.maths.org/files/abstractpics/5/21_apr_2016_-_1151/what_icon.jpg?1461239499" /> </div>
</div>
</div>
<div class="field field-type-text field-field-abs-txt">
<div class="field-items">
<div class="field-item odd">
<p>A very strange way of explaining away the strangeness of quantum mechanics.</p>
</div>
</div>
</div>
<p>Quantum mechanics is famously strange. It says that tiny little
particles behave in a way we never, ever see bigger objects behave. The
theory can't be reconciled with the classical physics of Isaac Newton most
of us learn about at school. Yet, it performs so well that physicists
have no choice but to accept it.</p>
<div class="rightimage" style="width: 350px;"><img src="/issue51/features/maldacena/HologramIllustration_small.jpg" alt="Hologram illustration" width="350" height="302" />
<p>Can parallel universes explain quantum phenomena?</p><p><a href="https://plus.maths.org/content/explaining-weirdness-weirdness" target="_blank">read more</a></p>https://plus.maths.org/content/explaining-weirdness-weirdness#commentsFP-top-storyquantum mechanicsquantum physicsquantum tunnelingquantum uncertaintyTue, 26 Apr 2016 10:24:23 +0000mf3446551 at https://plus.maths.org/contentPreserving species in the face of climate change
https://plus.maths.org/content/preserving-species-face-climate-change
<div class="field field-type-text field-field-author">
<div class="field-items">
<div class="field-item odd">
Wim Hordijk </div>
</div>
</div>
<div class="field field-type-filefield field-field-abs-img">
<div class="field-items">
<div class="field-item odd">
<img class="imagefield imagefield-field_abs_img" width="100" height="100" alt="" src="https://plus.maths.org/content/sites/plus.maths.org/files/abstractpics/5/20_apr_2016_-_1252/otter_icon.jpg?1461156762" /> </div>
</div>
</div>
<div class="field field-type-text field-field-abs-txt">
<div class="field-items">
<div class="field-item odd">
<p>Can mathematics predict the inevitable consequences of climate change? And more importantly, can it suggest ways to reduce, or even prevent some of these consequences?</p>
</div>
</div>
</div>
<p>A key result of last year's <a href="https://en.wikipedia.org/wiki/2015_United_Nations_Climate_Change_Conference">UN climate change conference in Paris</a> is that we now have a new international deal to curb climate change. However, it seems primarily focused on reducing greenhouse gas emissions to limit global warming. A significant step forward, no doubt, but it does not address the more difficult, and perhaps also more relevant question of how to deal with the inevitable consequences of climate change. Are we able at all to predict what those consequences will be?<p><a href="https://plus.maths.org/content/preserving-species-face-climate-change" target="_blank">read more</a></p>https://plus.maths.org/content/preserving-species-face-climate-change#commentsFP-carouselmathematical modellingmathematics and the environmentMon, 25 Apr 2016 11:17:22 +0000mf3446549 at https://plus.maths.org/contentWhat the eye can't see
https://plus.maths.org/content/what-eye-cant-see
<div class="field field-type-text field-field-author">
<div class="field-items">
<div class="field-item odd">
Carola-Bibiane Schönlieb and the Plus Team </div>
</div>
</div>
<div class="field field-type-filefield field-field-abs-img">
<div class="field-items">
<div class="field-item odd">
<img class="imagefield imagefield-field_abs_img" width="100" height="100" alt="" src="https://plus.maths.org/content/sites/plus.maths.org/files/abstractpics/5/22_apr_2016_-_1632/trees_icon.jpg?1461342774" /> </div>
</div>
</div>
<div class="field field-type-text field-field-abs-txt">
<div class="field-items">
<div class="field-item odd">
<p>From cancer treatments to counting trees: the maths behind image analysis makes it all possible.</p>
</div>
</div>
</div>
<div class="rightimage" style="max-width: 281px;"><img src="https://plus.maths.org/content/sites/plus.maths.org/files/articles/2016/carola/trees.jpg" alt="Trees" width="281" height="741" /><p>Top image: An area of English forest. Centre image: Individual trees have been isolated. Bottom image: A 3D version of the isolated tree image. (All images: Juheon Lee)</p><p><a href="https://plus.maths.org/content/what-eye-cant-see" target="_blank">read more</a></p>https://plus.maths.org/content/what-eye-cant-see#commentscreativityFP-top-storyImage analysisFri, 22 Apr 2016 16:00:16 +0000mf3446554 at https://plus.maths.org/contentMathematical moments: Carola-Bibiane Schönlieb
https://plus.maths.org/content/mathematical-moments-carola-schonlieb
<p>Carola-Bibiane Schönlieb has a fascinating job: she works on the mathematics behind image analysis. It finds application in all sorts of areas, from medical imaging, such as MRI scans, to forest ecology, which sees scientists trying to gain information about forests from pictures taken from the air.
</p>
<p>In this brief interview Carola tells us why she likes doing maths, recalls some of her favourite mathematical moments, and explains why creativity is essential in mathematics.</p><p><a href="https://plus.maths.org/content/mathematical-moments-carola-schonlieb" target="_blank">read more</a></p>https://plus.maths.org/content/mathematical-moments-carola-schonlieb#commentscreativityFP-belowImage analysisvideoFri, 22 Apr 2016 15:38:58 +0000mf3446553 at https://plus.maths.org/contentMaths in a minute: The central limit theorem
https://plus.maths.org/content/maths-three-minutes-central-limit-theorem
<div class="field field-type-filefield field-field-abs-img">
<div class="field-items">
<div class="field-item odd">
<img class="imagefield imagefield-field_abs_img" width="100" height="100" alt="" src="https://plus.maths.org/content/sites/plus.maths.org/files/abstractpics/5/15_apr_2016_-_1508/crowd_icon.jpg?1460732932" /> </div>
</div>
</div>
<div class="field field-type-text field-field-abs-txt">
<div class="field-items">
<div class="field-item odd">
<p>Opinion polls, election forecasts, testing new medical drugs — none of these would be possible without the central limit theorem.</p>
</div>
</div>
</div>
<p>The central idea in statistics is that you can say something
about a whole population by looking at a smaller sample. Without this
idea there wouldn't be opinion polls or election forecasts, there would be no way of testing new medical drugs, or
the safety of bridges, etc, etc. It's the <em>central limit theorem</em>
that is to a large extent responsible for the fact that we can do all
these things and get a grip on the uncertainties involved.</p><p><a href="https://plus.maths.org/content/maths-three-minutes-central-limit-theorem" target="_blank">read more</a></p>https://plus.maths.org/content/maths-three-minutes-central-limit-theorem#commentscentral limit theoremstatisticsTue, 19 Apr 2016 14:46:41 +0000mf3446548 at https://plus.maths.org/content