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Pseudomathematics, or mathematical crankery, is a mathematics-like activity that does not adhere to the framework of rigor of formal mathematical practice. Common areas of pseudomathematics are solutions of problems proved to be unsolvable or recognized as extremely hard by experts, as well as attempts to apply mathematics to non-quantifiable ...
In mathematics, pseudoanalytic functions are functions introduced by Lipman Bers (1950, 1951, 1953, 1956) that generalize analytic functions and satisfy a weakened form of the Cauchy–Riemann equations.
Pseudo-finite fields and hyper-finite fields are PAC. A non-principal ultraproduct of distinct finite fields is (pseudo-finite and hence [3]) PAC. [2] Ax deduces this from the Riemann hypothesis for curves over finite fields. [1] Infinite algebraic extensions of finite fields are PAC. [4] The PAC Nullstellensatz.
In algebra, given a 2-monad T in a 2-category, a pseudoalgebra for T is a 2-category-version of algebra for T, that satisfies the laws up to coherent isomorphisms. [ 1 ] See also
Pseudometric spaces were introduced by Đuro Kurepa [1] [2] in 1934. In the same way as every normed space is a metric space , every seminormed space is a pseudometric space. Because of this analogy, the term semimetric space (which has a different meaning in topology ) is sometimes used as a synonym, especially in functional analysis .
In convex analysis and the calculus of variations, both branches of mathematics, a pseudoconvex function is a function that behaves like a convex function with respect to finding its local minima, but need not actually be convex.
"Pseudo-mathematics and financial charlatanism: The effects of backtest overfitting on out-of-sample performance". Notices of the AMS. 61 (5): 458– 471. doi: 10.1090/noti1105. with Jonathan Borwein: Mathematics by experiment: Plausible reasoning in the 21st century, A. K. Peters 2004, 2008 (with accompanying CD Experiments in Mathematics, 2006)
Vedic Mathematics; This page was last edited on 4 November 2020, at 07:59 (UTC). Text is available under the Creative Commons Attribution-ShareAlike 4.0 ...