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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 ...
This page was last edited on 4 November 2020, at 07:59 (UTC).; Text is available under the Creative Commons Attribution-ShareAlike 4.0 License; additional terms may apply.
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).
This page was last edited on 7 November 2024, at 09:13 (UTC).; Text is available under the Creative Commons Attribution-ShareAlike 4.0 License; additional terms may apply.
However, the pseudo-spectral method allows the use of a fast Fourier transform, which scales as (), and is therefore significantly more efficient than the matrix multiplication. Also, the function V ( x ) {\displaystyle V(x)} can be used directly without evaluating any additional integrals.
In mathematical analysis a pseudo-differential operator is an extension of the concept of differential operator. Pseudo-differential operators are used extensively in the theory of partial differential equations and quantum field theory, e.g. in mathematical models that include ultrametric pseudo-differential equations in a non-Archimedean space.
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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.