mathematics   48074

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“The unreasonable effectiveness of mathematics in the design and implementation of software systems” | A Programmers Place
The mystery sets in when the physics becomes driven by the mathematics. I only see this starting to happen later, with Maxwell’s equations for the electro-magnetic field. Maxwell started with Gauss’s laws about the nature of the electric and magnetic fields by themselves. Then he had Ampère’s law relating current with magnetic field and Faraday’s law relating current with change in magnetic field. When Maxwell, as the first, wrote these laws in the form of a system of interlocking equations, he noticed that the mathematically symmetric counterpart of Faraday’s law was missing. Thus, by making the system of equations symmetric, he added an equation, which turned out to be a law of nature.

Maxwell thought of his equations as describing tensions in an all-pervading medium, the “ether”. Contemporary physicists don’t believe in such things any more. The equations not only survive, but are enthroned in the Standard Model, which unifies all forces of nature except gravitation. Of course, here Maxwell’s equations have a new interpretation. As Weinberg remarks [5], the physics changes, but the equations survive.
science  historyofscience  mathematics  awesome  calculus  algebra  notation 
yesterday by sampenrose
The Evolution of Trust
Interactive exploration of repeated Prisoner's dilemma type games, where you can play with payoffs and strategies.
trust  game  mathematics  maths 
yesterday by pw201
Fake News Consumers - Computerphile
Dr Stuart Moran is part of a team using eye-tracking to look at how people get conned by fake news stories.
dv  Mathematics  FakeNews  DasGeileNeueInternet 
2 days ago by walt74
Sociologist on Fake News - Computerphile
Sociologist Dr Christian Karner is part of a team looking at the problem of Fake News.
dv  Mathematics  FakeNews  DasGeileNeueInternet 
2 days ago by walt74
0 (zero) at Wikipedia
"0 (zero; /ˈzɪəroʊ/) is both a number[1] and the numerical digit used to represent that number in numerals. The number 0 fulfills a central role in mathematics as the additive identity of the integers, real numbers, and many other algebraic structures. As a digit, 0 is used as a placeholder in place value systems."

Wikipedia | | retr 26 jul 2017
mathematics  tech-information  type-article  type-information  zero 
2 days ago by tometaxu
The concept of zero as placeholder
A nice discussion of the concept of zero as a placeholder in numbering, and its development.

The actual question being answered was:
"If Aryabhata invented zero in Kaliyuga, how could Hindus of earlier yugas describe Ravana as having 10 heads and Kauravas were 100 in number?"

"The concept of zero as a digit in the decimal place value notation was developed in India, presumably as early as during the Gupta period (c. 5th century) ..." (from wikipedia)

"śūnya ('void, empty') is also used to refer to zero." (from wikipedia)

Hinduism Stack Exchange | | ~jan 2016, retr 26 jul 2017
mathematics  tech-information  type-discussion  type-forum  type-information  zero 
2 days ago by tometaxu

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