What does singular integral mean?
Definitions for singular integral
sin·gu·lar in·te·gral
This dictionary definitions page includes all the possible meanings, example usage and translations of the word singular integral.
Wikipedia
Singular integral
In mathematics, singular integrals are central to harmonic analysis and are intimately connected with the study of partial differential equations. Broadly speaking a singular integral is an integral operator T ( f ) ( x ) = ∫ K ( x , y ) f ( y ) d y , {\displaystyle T(f)(x)=\int K(x,y)f(y)\,dy,} whose kernel function K : Rn×Rn → R is singular along the diagonal x = y. Specifically, the singularity is such that |K(x, y)| is of size |x − y|−n asymptotically as |x − y| → 0. Since such integrals may not in general be absolutely integrable, a rigorous definition must define them as the limit of the integral over |y − x| > ε as ε → 0, but in practice this is a technicality. Usually further assumptions are required to obtain results such as their boundedness on Lp(Rn).
Numerology
Chaldean Numerology
The numerical value of singular integral in Chaldean Numerology is: 3
Pythagorean Numerology
The numerical value of singular integral in Pythagorean Numerology is: 7
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"singular integral." Definitions.net. STANDS4 LLC, 2024. Web. 25 Apr. 2024. <https://www.definitions.net/definition/singular+integral>.
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