Singular measure definition of Singular measure in the Free Online Encyclopedia.

singular integral [′siŋ·gyə·lər ¦int·ə·grəl əv ə ‚dif·ə′ren·chəl i′kwā·zhən]

(mathematics)

Singular Integral

(1) A method of representing functions. A singular integral is an integral of the form

which, when certain conditions on ∫ are fulfilled, converges to its generating function f(x) as n → ∞. The function K_n is called the kernel of the singular integral. For example,

and

are the singular integrals of Dirichlet and Vallée Poussin, respectively. The systematic investigation of singular integrals was begun by H. Lebesgue in 1909. Singular integrals attracted attention in connection with the problem of representing and approximating functions of various classes by simpler functions, such as smooth functions and polynomials.

(2) An improper integral. [23–1231–]

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No references found	d] with n < d, then the measure [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is a singular measure with respect to [v. On mean densities of inhomogeneous geometric processes arising in ... by Capasso, Vincenzo; Villa, Elena / Image Analysis and Stereology It is a cash-based system that concentrates on cash flows, short-term receivables, and short-term payables, and makes no attempt to produce a singular measure of performance such as an accounting income. Comments on "market value for financial reporting: the premise" by Owens, Robert W.; Dorchester, John D., Jr. / Appraisal Journal The creation of the sense of humor, and its elevation as the sine qua non of personality, seems to arrive in the middle of a broad period in which anger was under attack, jealousy censored, and romantic love eased from its status as the singular measure of intimate relationships. The Senses of Humor: Self and Laughter in Modern America by Yosifon, David G. / Journal of Social History	single-tuned interstage single-U groove weld single-unit semiconductor device single-user license single-V groove weld Single-Valued Function single-web girder single-wire line singlemode fiber singlesheet feed singlet Singletary Lake State Park singleton singleton variable Singleton, Captain Singleton, Charles S. singly linked ring singly periodic function Singspiel singular singular arc singular corresponding point Singular Integral Singular Integral Equation Singular Matrix Singular measure Singular Point Singular Solution singular transformation singular values singularitarian singularity singularity theorems singultus Singyonghyangpa sinh Sinha, Satyendra Prassano, 1st Baron Sinha of Raipur Sinhala Avurudu Sinhalese Sinhalese Kingdom sinhalite Siniaia Siniak Sinian Complex Siniavino Siniavskii, Vadim Siniavskii, Vadim Sviatoslavovich Sining Sinis Sinisalo, Gelmer-Rainer Sinisalo, Gelmer-Rainer Nesterovich	Singster Singtel singula Singulair Singulair singular singular singular Singular (disambiguation) Singular (disambiguation) Singular (disambiguation) singular arc Singular Boundary Value Problems Singular Cardinals Hypothesis SINGULAR computer algebra system SINGULAR computer algebra system SINGULAR computer algebra system singular corresponding point Singular Enformed Living Field Singular Evolutive Extended Kalman Filter Singular Evolutive Interpolated Kalman singular form Singular God Singular God Singular God Singular Indestructible Droid Singular Integral singular integral equation singular matrix singular matrix Singular measure Singular n-simplex Singular n-simplex Singular n-simplex Singular nouns Singular nouns Singular perturbation theory Singular perturbation theory singular point singular point singular point Singular point in a curve Singular proposition Singular Shunt Forward Singular Shunt Ground Singular simplex Singular simplex Singular simplex Singular solution Singular Spectral Analysis Singular succession Singular term singular transformation Singular value decomposition Singular Value Decomposition Analysis Singular Value Decomposition Least Square Singular Value Decomposition Minimum Mean Square Error Singular Value Decomposition Prony Singular values Singular Vector Singular Vector Decomposition

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d] with n < d, then the measure [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is a singular measure with respect to [v.

On mean densities of inhomogeneous geometric processes arising in ... by Capasso, Vincenzo; Villa, Elena / Image Analysis and Stereology

It is a cash-based system that concentrates on cash flows, short-term receivables, and short-term payables, and makes no attempt to produce a singular measure of performance such as an accounting income.

Comments on "market value for financial reporting: the premise" by Owens, Robert W.; Dorchester, John D., Jr. / Appraisal Journal

The creation of the sense of humor, and its elevation as the sine qua non of personality, seems to arrive in the middle of a broad period in which anger was under attack, jealousy censored, and romantic love eased from its status as the singular measure of intimate relationships.

The Senses of Humor: Self and Laughter in Modern America by Yosifon, David G. / Journal of Social History

single-tuned interstage

single-U groove weld

single-unit semiconductor device

single-user license

single-V groove weld

Single-Valued Function