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Maths in a minute: The central limit theorem
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 ... reply Where's the maths? Permalink Submitted by Anonymous on April 20, ...
Marianne  16 Jan 2019  11:59  2 comments

Who's watching: Can maths exist if you can't see it?
In our Who's watching project we have been exploring the physics of observers. But observations also play a role in mathematics. We often get ideas about general results in mathematics ... sequences of rational numbers. Maths in a minute: Truth tables — A quick look at those indispensable tools ...
Marianne  17 Jan 2019  11:22  0 comments

Maths in a minute: Number mysteries
... the mathematician Christian Goldbach who formulated it in the middle of the eighteenth century. It states that any even natural number ... even number is the sum of at most six primes. There is a similar statement, called the weak Goldbach conjecture, which says that every ...
Marianne  2 Jan 2019  14:07  3 comments

Maths in a minute: Perfect numbers
A perfect number is a natural number whose divisors add up to the number ... the number 6 is the reason why god chose to create the world in 6 days, taking a rest on the 7th. The Greek Nicomachus of Gerasa ... to help us find them. The largest so far, discovered in December 2018, has over 49 million digits. Will we ever find another ...
Marianne  2 Jan 2019  13:59  0 comments

Maths in a minute: Truth tables
In standard mathematical logic every statement — "the cat is white", "the dog ... Q are true, otherwise it is false. This can be summarised in a truth table: P Q P AND Q T T T ...
Marianne  18 Dec 2018  16:25  0 comments

Maths in a minute: Transcendental numbers (and politics)
... numbers? Transcendental numbers are defined in contrast to algebraic numbers : we say that a number is algebraic if it ... number is transcendental: take for example (see Maths in a minute: The square root of 2 is irrational ). Probably the ...
Marianne  28 Nov 2018  15:04  3 comments

Maths in a minute: Binary numbers
... works. Let's take the number 4302 as an example. The digit 4 in this number doesn't stand for the number 4, rather it stands for 4000, or 4 ... 100 = 10 2 10 = 10 1 1 = 10 0 . To write a number in decimal notation, you first write it as a sum of consecutive powers ...
Marianne  5 Nov 2018  14:18  0 comments

Happy birthday Claude Shannon!
... mouse Theseus, one of the earliest experiments in artificial intelligence. (Image Copyright 2001 Lucent Technologies, Inc. All ... work on sending information through noisy channels. Maths in a minute: Boolean algebra , which gives some more details on rules ...
Marianne  30 Oct 2018  17:07  1 comment

Maths in a minute: Chomp
Chomp is a simple game with a surprising mathematical twist. The rules are as follows. ... bottom left cookie is poisoned. Two players take it in turn to "chomp" — that is, to eat one of the remaining cookies, plus all ... and to the right of that cookie. Possible moves in Chomp. The loser is the player who has to eat the poisoned cookie. ...
Marianne  1 Aug 2018  14:33  2 comments

Maths in a minute: Black holes
... Black holes are formed when a lot of mass is concentrated in a tiny region of space. For example, if we managed to concentrate all the ... stars, can warp the very fabric of space and time (see Maths in a minute: Einstein's theory of general relativity ). The warping of ...
Rachel  26 Jul 2018  22:52  0 comments