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Hace 2 días · Pattern formation and mathematical biology. When Turing was 39 years old in 1951, he turned to mathematical biology, finally publishing his masterpiece "The Chemical Basis of Morphogenesis" in January 1952. He was interested in morphogenesis, the development of patterns and shapes in biological organisms.
- Alan Mathison Turing, 23 June 1912, Maida Vale, London, England
- 7 June 1954 (aged 41), Wilmslow, Cheshire, England
Hace 2 días · The integers have a division algorithm, where two integers can be divided with remainder: for any a,b \in {\mathbb Z} a,b ∈ Z with b \ne 0, b = 0, there is a unique integer q q and a unique integer r r with 0 \le r < |b| 0 ≤ r < ∣b∣ satisfying a=bq+r. a = bq +r. Here q q is the quotient and r r is the remainder.
Hace 19 horas · Cheap data and the absence of coincidences make maths an ideal testing ground for AI-assisted discovery — but only humans will be able to tell good conjectures from bad ones.
Hace 2 días · Euler invented the totient function φ(n), the number of positive integers less than or equal to the integer n that are coprime to n. Using properties of this function, he generalized Fermat's little theorem to what is now known as Euler's theorem.
15 de may. de 2024 · To satisfy all these demands, editions of mathematical texts were progressively enriched with extremely precious para-texts: glossaries giving exhaustive lists of technical terms and linguistic characteristics; the edition of scholia; the edition of testimonia; and above all notes on the analysis of the information used as a basis for the critical work: codological description of manuscripts ...
Hace 6 días · Leibniz was the first to use the term "transcendental" in a 1682 paper, where he proved the function f (x)=\sin x f (x) = sinx is not an algebraic function of x x, which roughly means that there are no integer polynomials p_0 (x), p_1 (x), \ldots p0(x),p1(x),… such that.
Hace 3 días · Pythagoreanism originated in the 6th century BC, based on and around the teachings and beliefs held by Pythagoras and his followers, the Pythagoreans. Pythagoras established the first Pythagorean community in the ancient Greek colony of Kroton, in modern Calabria (Italy). Early Pythagorean communities spread throughout Magna Graecia .
