Fermat - meaning and definition. What is Fermat
Diclib.com
ChatGPT AI Dictionary
Enter a word or phrase in any language 👆
Language:

Translation and analysis of words by ChatGPT artificial intelligence

On this page you can get a detailed analysis of a word or phrase, produced by the best artificial intelligence technology to date:

  • how the word is used
  • frequency of use
  • it is used more often in oral or written speech
  • word translation options
  • usage examples (several phrases with translation)
  • etymology

What (who) is Fermat - definition

FRENCH MATHEMATICIAN AND LAWYER
Fermat; PierreDeFermat; Pierre Fermat; P. Fermat; Pierre De Fermat; Pierre de fermat
  •  The 1670 edition of [[Diophantus]]'s ''[[Arithmetica]]'' includes Fermat's commentary, referred to as his "Last Theorem" (''Observatio Domini Petri de Fermat''), posthumously published by his son
  • Pierre de Fermat

Fermat prime         
  • Number of sides of known constructible polygons having up to 1000 sides (bold) or odd side count (red)
POSITIVE INTEGER OF THE FORM (2^(2^N))+1
Fermat prime; Fermat numbers; 4294967297 (number); Fermat primes; Fermat Numbers; Generalized Fermat number; Generalized Fermat prime; Fermat Primes; Fermat Prime; 4294967297; Primality of Fermat numbers; Factorization of Fermat numbers; Generalized Fermat numbers; Generalized Fermat primes; Generalized Fermat
<mathematics> A prime number of the form 2^2^n + 1. Any prime number of the form 2^n+1 must be a Fermat prime. Fermat conjectured in a letter to someone or other that all numbers 2^2^n+1 are prime, having noticed that this is true for n=0,1,2,3,4. Euler proved that 641 is a factor of 2^2^5+1. Of course nowadays we would just ask a computer, but at the time it was an impressive achievement (and his proof is very elegant). No further Fermat primes are known; several have been factorised, and several more have been proved composite without finding explicit factorisations. Gauss proved that a regular N-sided polygon can be constructed with ruler and compasses if and only if N is a power of 2 times a product of distinct Fermat primes. (1995-04-10)
Fermat number         
  • Number of sides of known constructible polygons having up to 1000 sides (bold) or odd side count (red)
POSITIVE INTEGER OF THE FORM (2^(2^N))+1
Fermat prime; Fermat numbers; 4294967297 (number); Fermat primes; Fermat Numbers; Generalized Fermat number; Generalized Fermat prime; Fermat Primes; Fermat Prime; 4294967297; Primality of Fermat numbers; Factorization of Fermat numbers; Generalized Fermat numbers; Generalized Fermat primes; Generalized Fermat
In mathematics, a Fermat number, named after Pierre de Fermat, who first studied them, is a positive integer of the form
Fermat curve         
  • The Fermat cubic surface <math>X^3+Y^3=Z^3</math>
MATHEMATICAL CONCEPT
Fermat varieties; Fermat variety
In mathematics, the Fermat curve is the algebraic curve in the complex projective plane defined in homogeneous coordinates (X:Y:Z) by the Fermat equation

Wikipedia

Pierre de Fermat

Pierre de Fermat (French: [pjɛʁ də fɛʁma]; between 31 October and 6 December 1607 – 12 January 1665) was a French mathematician who is given credit for early developments that led to infinitesimal calculus, including his technique of adequality. In particular, he is recognized for his discovery of an original method of finding the greatest and the smallest ordinates of curved lines, which is analogous to that of differential calculus, then unknown, and his research into number theory. He made notable contributions to analytic geometry, probability, and optics. He is best known for his Fermat's principle for light propagation and his Fermat's Last Theorem in number theory, which he described in a note at the margin of a copy of Diophantus' Arithmetica. He was also a lawyer at the Parlement of Toulouse, France.

Examples of use of Fermat
1. For nonmathematicians, "Letters to a Young Mathematician" offers wonderful insight into academics, a reading list in a variety of fields, and a bit of knowledge about Gauss, Fibonacci, Leibniz, Feynman, and Fermat.