Maths in a minute
https://plus.maths.org/content/category/tags/maths-minute
enMaths in a minute: Bayes' theorem
https://plus.maths.org/content/maths-minute-bayes-theorem
<div class="field field-name-field-author field-type-text field-label-hidden"><div class="field-items"><div class="field-item even">Rachel Thomas</div></div></div><div class="field field-name-field-abs-img field-type-image field-label-hidden"><div class="field-items"><div class="field-item even"><img class="img-responsive" src="https://plus.maths.org/content/sites/plus.maths.org/files/abstractpics/4/25_jan_2016_-_1440/icon.jpg" alt="" /></div></div></div><div class="field field-name-field-abs-txt field-type-text field-label-hidden"><div class="field-items"><div class="field-item even"><p>It would be foolish to ignore evidence. Luckily Bayes' theorem shows us how to take it in into account.</p>
</div></div></div><div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p>
Suppose that a particular type of cancer affects 1% of the population. There is a test for this cancer but it's not perfect: although the test gives a positive result for 90% of people who have the cancer, it also gives a positive result for 5% of the people who are cancer-free. You have just received a positive test result – what is the probability you have cancer?
</p></div></div></div><div class="field field-name-field-weight field-type-number-integer field-label-hidden"><div class="field-items"><div class="field-item even">0</div></div></div><div class="field field-name-field-promote field-type-list-boolean field-label-hidden"><div class="field-items"><div class="field-item even">0</div></div></div><div class="field field-name-field-hidden field-type-list-boolean field-label-above"><div class="field-label">hide_article: </div><div class="field-items"><div class="field-item even">0</div></div></div><div class="field field-name-taxonomy-vocabulary-1 field-type-taxonomy-term-reference field-label-above"><div class="field-label">tags: </div><div class="field-items"><div class="field-item even"><a href="/content/taxonomy/term/249">bayes theorem</a></div><div class="field-item odd"><a href="/content/taxonomy/term/465">conditional probability</a></div><div class="field-item even"><a href="/content/taxonomy/term/545">medical statistics</a></div><div class="field-item odd"><a href="/content/category/tags/maths-minute">Maths in a minute</a></div></div></div><div class="field field-name-field-fp-car-txt field-type-text-long field-label-above"><div class="field-label">front page text: </div><div class="field-items"><div class="field-item even"><p>It would be foolish to ignore evidence</p>
</div></div></div><div class="field field-name-field-fp-ico field-type-image field-label-above"><div class="field-label">front page icon: </div><div class="field-items"><div class="field-item even"><img class="img-responsive" src="https://plus.maths.org/content/sites/plus.maths.org/files/front_icon_10.jpg" alt="" /></div></div></div>Mon, 25 Jan 2016 14:26:40 +0000Rachel6521 at https://plus.maths.org/contentMaths in a minute: The prisoner's dilemma
https://plus.maths.org/content/prisoners-dilemma-0
<div class="field field-name-field-abs-img field-type-image field-label-hidden"><div class="field-items"><div class="field-item even"><img class="img-responsive" src="https://plus.maths.org/content/sites/plus.maths.org/files/abstractpics/5/7_jul_2011_-_1442/prisonercrop.jpg" alt="" /></div></div></div><div class="field field-name-field-abs-txt field-type-text field-label-hidden"><div class="field-items"><div class="field-item even"><p>Sometimes people are nasty when it would have been better to be nice.</p>
</div></div></div><div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><div class="rightimage" style="width: 351px"><img src="/content/sites/plus.maths.org/files/blog/072011/prisonerscale.jpg" width="351" height="232" /></div>
<p> Suppose you and a friend have been arrested for a crime and you're
being interviewed separately. The police offer each of you the same
deal. You can either confess, incriminating your partner, or remain
silent. If you confess and your partner doesn't, then you get 2
years in jail (as a reward for talking), while your partner gets 10 years. </p></div></div></div><div class="field field-name-taxonomy-vocabulary-1 field-type-taxonomy-term-reference field-label-above"><div class="field-label">tags: </div><div class="field-items"><div class="field-item even"><a href="/content/taxonomy/term/405">game theory</a></div><div class="field-item odd"><a href="/content/category/tags/prisoners-dilemma">Prisoner's Dilemma</a></div><div class="field-item even"><a href="/content/category/tags/maths-minute">Maths in a minute</a></div></div></div>Fri, 08 Jul 2011 09:42:52 +0000mf3445517 at https://plus.maths.org/contentMaths in a minute - levers
https://plus.maths.org/content/maths-minute-levers
<div class="field field-name-field-abs-img field-type-image field-label-hidden"><div class="field-items"><div class="field-item even"><img class="img-responsive" src="https://plus.maths.org/content/sites/plus.maths.org/files/abstractpics/4/7_jun_2011_-_1611/icon.jpg" alt="" /></div></div></div><div class="field field-name-field-abs-txt field-type-text field-label-hidden"><div class="field-items"><div class="field-item even"><p>Kneeling in the mud by a country road on a cold drizzly day, I finally appreciated the wonder that is a lever. I was trying to change a flat tyre and even jumping on the end of the wheel wrench wouldn't budge the wheel nuts. But when the AA arrived they undid them with ease, thanks to a wheel wrench that was three times the size of mine. There you have it ... size really does matter!</p>
</div></div></div><div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p>Kneeling in the mud by a country road on a cold drizzly day, I finally appreciated the wonder that is a lever. I was trying to change a flat tyre and even jumping on the end of the wheel wrench wouldn't budge the wheel nuts. But when the AA arrived they undid them with ease, thanks to a wheel wrench that was three times the size of mine. There you have it ... size really does matter!
</p></div></div></div><div class="field field-name-taxonomy-vocabulary-1 field-type-taxonomy-term-reference field-label-above"><div class="field-label">tags: </div><div class="field-items"><div class="field-item even"><a href="/content/taxonomy/term/902">engineering</a></div><div class="field-item odd"><a href="/content/category/tags/maths-minute">Maths in a minute</a></div></div></div>Tue, 07 Jun 2011 15:18:24 +0000Rachel5500 at https://plus.maths.org/contentMaths in a minute — geodesic domes
https://plus.maths.org/content/maths-minute-%E2%80%94-geodesic-domes
<div class="field field-name-field-abs-txt field-type-text field-label-hidden"><div class="field-items"><div class="field-item even"><p>The dramatic curved surfaces of some of the iconic buildings created in the last decade, such as 30 St Mary's Axe (AKA the Gherkin) in London, are only logistically and economically possible thanks to mathematics. Curved panels of glass or other material are expensive to manufacture and to fit. Surprisingly, the curved surface of the Gherkin has been created almost entirely out of flat panels of glass — the only curved piece is the cap on the very top of the building. And simple geometry is all that is required to understand how.</p>
</div></div></div><div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p>
The dramatic curved surfaces of some of the iconic buildings created in the last decade, such as 30 St Mary's Axe (AKA the Gherkin) in London, are only logistically and economically possible thanks to mathematics. Curved panels of glass or other material are expensive to manufacture and to fit. Surprisingly, the curved surface of the Gherkin has been created almost entirely out of flat panels of glass — the only curved piece is the cap on the very top of the building. And simple geometry is all that is required to understand how.
</p></div></div></div><div class="field field-name-taxonomy-vocabulary-1 field-type-taxonomy-term-reference field-label-above"><div class="field-label">tags: </div><div class="field-items"><div class="field-item even"><a href="/content/category/tags/maths-minute">Maths in a minute</a></div></div></div>Fri, 26 Nov 2010 13:34:03 +0000Rachel5358 at https://plus.maths.org/content