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Power of 10. Visualisation of powers of 10 from one to 1 trillion. A power of 10 is any of the integer powers of the number ten; in other words, ten multiplied by itself a certain number of times (when the power is a positive integer). By definition, the number one is a power (the zeroth power) of ten. The first few non-negative powers of ten are:
In number theory, Skewes's number is any of several large numbers used by the South African mathematician Stanley Skewes as upper bounds for the smallest natural number for which. π x li x. where π is the prime-counting function and li is the logarithmic integral function. Skewes's number is much larger, but it is now known that there is a ...
Claude Shannon. The Shannon number, named after the American mathematician Claude Shannon, is a conservative lower bound of the game-tree complexity of chess of 10 120, based on an average of about 10 3 possibilities for a pair of moves consisting of a move for White followed by a move for Black, and a typical game lasting about 40 such pairs ...
Its zeros in the left halfplane are all the negative even integers, and the Riemann hypothesis is the conjecture that all other zeros are along Re(z) = 1/2. In a neighbourhood of a point z 0 , {\displaystyle z_{0},} a nonzero meromorphic function f is the sum of a Laurent series with at most finite principal part (the terms with negative index ...
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Its analytical continuation has zeros at the negative even integers; that is, ζ(s) = 0 when s is one of −2, −4, −6, .... These are called its trivial zeros. However, the negative even integers are not the only values for which the zeta function is zero. The other ones are called nontrivial zeros.
Zero-sum game. Zero-sum game is a mathematical representation in game theory and economic theory of a situation that involves two competing entities, where the result is an advantage for one side and an equivalent loss for the other. [ 1] In other words, player one's gain is equivalent to player two's loss, with the result that the net ...
Mathematics: 10 13 – The approximate number of known non-trivial zeros of the Riemann zeta function as of 2004. [37] Mathematics – Known digits of π: As of March 2019, the number of known digits of π is 31,415,926,535,897 (the integer part of π × 10 13). [38] Biology – approximately 10 14 synapses in the human brain. [39]