Fibonacci posed the rabbit math problem: how many pairs will there be in one year? At the end of the first month, they mate, but there is still only 1 pair. At the end of the second month they produce a …

In mathematics one neither "proves" nor "disproves" an axiom. A set of mathematical axioms gives a set of rules that fix a conceptual realm, in which the theorems logically follow.

For example, although social media recommender systems are commonly called "algorithms", they actually rely on heuristics as there is no truly "correct" recommendation. As an effective method, an …

In mathematics (in particular, functional analysis), convolution is a mathematical operation on two functions and that produces a third function , as the integral of the product of the two functions after …

[1] Mathematics is essential in the natural sciences, engineering, medicine, finance, computer science, and the social sciences. Although mathematics is extensively used for modeling phenomena, the …

Greedy algorithms fail to produce the optimal solution for many other problems and may even produce the unique worst possible solution. One example is the travelling salesman problem mentioned …

Variable (mathematics) In mathematics, a variable (from Latin variabilis 'changeable') is a symbol, typically a letter, that refers to an unspecified mathematical object. [1][2][3] One says colloquially that …

Thus, it is possible that the worst-case running time for any algorithm for the TSP increases superpolynomially (but no more than exponentially) with the number of cities. The problem was first …