Bayesian analysis shows redshirts are not most likely to die on Star Trek:TOS. Although Enterprise crew members in redshirts suffer many more casualties than crew members in other uniforms, they suffer fewer casualties than crew members in gold uniforms when the entire population size is considered. Only 10% of the entire redshirt population was lost during the three year run of Star Trek. This is less than the 13.4% of goldshirts, but more than the 5.1% of blueshirts. What is truly hazardous is not wearing a redshirt, but being a member of the security department. The red-shirted members of security were only 20.9% of the entire crew, but there is a 61.9% chance that the next casualty is in a redshirt and 64.5% chance this red-shirted victim is a member of the security department. The remaining redshirts, operations and engineering make up the largest single population, but only have an 8.6% chance of being a casualty.
posted by Cash4Lead
on Feb 20, 2013 -
75 comments
"The models we discuss belong to the class of two-variable systems with one delay for which appropriate delay stabilizes an unstable steady state. We formulate a theorem and prove that stabilization takes place in our case. We conclude that considerable (meaning large enough, but not too large) values of time delay involved in the model can stabilize
love affairs dynamics."
[more inside]
posted by bluefly
on Jan 16, 2013 -
12 comments
Numberphile is a website containing short videos (approx. 5-10 min.) about numbers and stuff. Mathematicians and physicists play around with the tools of their trade and explain things in simple, clear language. Learn things you didn't know you were interested in! Find out why
493-7775 is a pretty cool phone number! What's the significance of
42, anyway? What the heck is a
vampire number? Why does Pac-Man have only
255 screens?
Suitable for viewing by everyone from intelligent and curious middle-schoolers to math-impaired adults. Browse their YouTube channel
here. (
Via)
posted by BitterOldPunk
on Dec 29, 2012 -
20 comments
The Nature of Computation -
Intellects Vast and Warm and Sympathetic: "I hand you a network or graph, and ask whether there is a path through the network that crosses each edge exactly once, returning to its starting point. (That is, I ask whether there is a 'Eulerian' cycle.) Then I hand you another network, and ask whether there is a path which visits each node exactly once. (That is, I ask whether there is a 'Hamiltonian' cycle.) How hard is it to answer me?" (
via)
[more inside]
posted by kliuless
on Dec 1, 2012 -
19 comments
"We have little trouble recognizing that a chess grandmaster’s victory over a novice is skill, as well as assuming that Paul the octopus’s ability to predict World Cup games is due to chance. But what about everything else?" [
Luck and Skill Untangled: The Science of Success]
posted by vidur
on Nov 20, 2012 -
16 comments
She sat zazen, concentrating on not concentrating, until it was time to prepare for the appointment. Sitting seemed to produce the usual serenity, put everything in perspective. Her hand did not tremble as she applied her make-up; tranquil features looked back at her from the mirror. She was mildly surprised, in fact, at just how calm she was, until she got out of the hotel elevator at the garage level and the mugger made his play. She killed him instead of disabling him. Which was obviously not a measured, balanced action--the official fuss and paperwork could make her late. Annoyed at herself, she stuffed the corpse under a shiny new Westinghouse roadable whose owner she knew to be in Luna, and continued on to her own car. This would have to be squared later, and it would cost. No help for it--she fought to regain at least the semblance of tranquillity as her car emerged from the garage and turned north. Nothing must interfere with this meeting, or with her role in it. "Melancholy Elephants," an enthralling, Hugo Award-winning short story by Spider Robinson about a disciplined operative, a powerful senator, and a crucial mission to preserve humanity's most precious resource.
(some spoilers inside) [more inside]
posted by Rhaomi
on Oct 27, 2012 -
14 comments
"Milgram and Bishop are opposed to reforms of mathematics teaching and support the continuation of a model in which students learn mathematics without engaging in realistic problems or discussing mathematical methods. They are, of course, entitled to this opinion, and there has been an ongoing, spirited academic debate about mathematics learning for a number of years. But Milgram and Bishop have gone beyond the bounds of reasoned discourse in a campaign to systematically suppress empirical evidence that contradicts their stance. Academic disagreement is an inevitable consequence of academic freedom, and I welcome it. However, responsible disagreement and academic bullying are not the same thing. Milgram and Bishop have engaged in a range of tactics to discredit me and damage my work which I have now decided to make public."
Jo Boaler, professor of mathematics education at Stanford, accuses two mathematicians, one her colleague of Stanford, of unethical attempts to discredit
her research, which supports "active engagement" with mathematics (aka "reform math") over the more traditional "practicing procedures" approach.
[more inside]
posted by escabeche
on Oct 18, 2012 -
119 comments
What is the smallest prime? "It seems that the number two should be the obvious answer, and today it is, but it was not always so. There were times when and mathematicians for whom the numbers one and three were acceptable answers. To find the first prime, we must also know what the first positive integer is. Surprisingly, with the definitions used at various times throughout history, one was often not the first positive integer (some started with two, and a few with three). In this article, we survey the history of the primality of one, from the ancient Greeks to modern times. We will discuss some of the reasons definitions changed, and provide several examples. We will also discuss the last significant mathematicians to list the number one as prime."
posted by escabeche
on Sep 18, 2012 -
61 comments
Robert MacPherson interviewed as part of the Simons Foundation's
Science Lives series. MacPherson is among the founders of the modern theory of
singularities, points like a kink in a curve where the geometry of a space stops being smooth and starts behaving badly. In the interview, MacPherson talks about cultural differences between math and music, his frustration with high school math, growing up gay in the South and life as a gay man in the scientific community, smuggling $23,000 in cash into post-Soviet Russia to help mathematicians there keep the lights on, catastrophe theory, perverse sheaves, how to be a successful graduate student, stuttering, and of course the development of the intersection homology theory for which he is most well-known.
posted by escabeche
on Sep 12, 2012 -
5 comments
Morton and Vicary on the Categorified Heisenberg Algebra - "In quantum mechanics, position times momentum does not equal momentum times position! This sounds weird, but it's connected to a very simple fact. Suppose you have a box with some balls in it, and you have the magical ability to create and annihilate balls. Then there's one more way to create a ball and then annihilate one, than to annihilate one and then create one. Huh? Yes: if there are, say, 3 balls in the box to start with, there are 4 balls you can choose to annihilate after you've created one but only 3 before you create one..."
[more inside]
posted by kliuless
on Jul 21, 2012 -
78 comments
Free online graph paper generators: variations of
squares,
triangle, rhombus, and hexagonal,
circular and polar, for drawing, gaming,
writing, note-taking and
much more.
Blank Sheet Music (Flash) for all
arrangements (PDF). Create and edit your own
grids,
probability and
logarithmic graphs,
petri-dish inserts and
storyboards. Also, multilingual
monthly and
yearly calendars. Plus, more than you ever wanted to know about
ISO paper dimensions and
printable paper models of polyhedra.
Prev-
ious-
ly.
posted by Bora Horza Gobuchul
on May 28, 2012 -
36 comments
The trend of mathematics and physics towards unification provides the physicist with a powerful new method of research into the foundations of his subject, a method which has not yet been applied successfully, but which I feel confident will prove its value in the future. The method is to begin by choosing that branch of mathematics which one thinks will form the basis of the new theory. One should be influenced very much in this choice by considerations of mathematical beauty. [1939]
[more inside]
posted by smcg
on Apr 28, 2012 -
8 comments
The Hacker Shelf is nice crowd-sourced guide to (legally) free books on various computational and mathematical subjects. The
topics page gives you an idea of the breadth of material available.
posted by philipy
on Mar 15, 2012 -
24 comments
What is the minimal number of clues necessary to create a uniquely solvable Sudoku puzzle? It turns out to be
17, though it took fancy symmetry arguments and nearly a year of computer time to prove it. But no need to read the paper when you can
watch the video.
posted by Obscure Reference
on Mar 14, 2012 -
54 comments
This is a radical statement about the Pyramid, especially on the internet because all web pages that I have been able to find that deal with the Pyramid, maintain that it was built and/or inspired by either God or space aliens. Most don't even consider that it could be a rational structure designed and built by normal people.
posted by troll
on Dec 30, 2011 -
42 comments
An "Exciting Guide to Probability Distributions" from the University of Oxford:
part 1,
part 2. (Two links to PDFs)
posted by JoeXIII007
on Dec 15, 2011 -
17 comments
