Search results
Results from the WOW.Com Content Network
Written in popular science format, the book interweaves what a New York Times reviewer called "an informative survey of exciting recent developments in astrophysics and quantum theory" with Tegmark's mathematical universe hypothesis, which posits that reality is a mathematical structure. [1] This mathematical nature of the universe, Tegmark ...
Babylonian tablet (c. 1800–1600 BCE), showing an approximation of √ 2 (1 24 51 10 in sexagesimal) in the context of the Pythagorean theorem for an isosceles triangle. Written mathematics began with numbers expressed as tally marks, with each tally representing a single unit. Numerical symbols consisted probably of strokes or notches cut in ...
The number of binary strings of length n without an odd number of consecutive 1 s is the Fibonacci number F n+1. For example, out of the 16 binary strings of length 4, there are F 5 = 5 without an odd number of consecutive 1 s—they are 0000, 0011, 0110, 1100, 1111.
In the geometry of numbers, the subspace theorem was obtained by Wolfgang M. Schmidt in 1972. [6] It states that if n is a positive integer, and L 1,...,L n are linearly independent linear forms in n variables with algebraic coefficients and if ε>0 is any given real number, then the non-zero integer points x in n coordinates with
The Babylonians had a place-value system based essentially on the numerals for 1 and 10, using base sixty, so that the symbol for sixty was the same as the symbol for one—its value being determined from context. [11] A much later advance was the development of the idea that 0 can be considered as a number, with its own numeral.
With the large number of new areas of mathematics that have appeared since the beginning of the 20th century, defining mathematics by its object of study has become increasingly difficult. [174] For example, in lieu of a definition, Saunders Mac Lane in Mathematics, form and function summarizes the basics of several areas of mathematics ...
The 10 to 1 ratio was an estimate made in 1972; current estimates put the ratio at either 3 to 1 or 1.3 to 1. [300] The total length of capillaries in the human body is not 100,000 km. That figure comes from a 1929 book by August Krogh, who used an unrealistically large model person and an inaccurately high density of capillaries. The true ...
This is a list of notable theorems.Lists of theorems and similar statements include: List of algebras; List of algorithms; List of axioms; List of conjectures