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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.
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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
In mathematics, a pseudogroup is a set of homeomorphisms between open sets of a space, satisfying group-like and sheaf-like properties. It is a generalisation [dubious – discuss] of the concept of a group, originating however from the geometric approach of Sophus Lie [1] to investigate symmetries of differential equations, rather than out of abstract algebra (such as quasigroup, for example).
In mathematics, a pseudometric space is a generalization of a metric space in which the distance between two distinct points can be zero. Pseudometric spaces were introduced by Đuro Kurepa [1] [2] in 1934.
They believe the definition of r is invalid because there is no well-defined notion of when an English phrase defines a real number, and so there is no unambiguous way to construct the sequence r n. Although Richard's solution to the paradox did not gain favor with mathematicians, predicativism is an important part of the study of the ...
The metric of a pseudo-Riemannian manifold, a non-degenerate, smooth, symmetric tensor field of arbitrary signature; Pseudometric space, a generalization of a metric that does not necessarily distinguish points (and so typically used to study certain non-Hausdorff spaces)