absolutely continuous function

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absolutely continuous function [¦ab·sə‚lüt·lē kən¦tin·yə·wəs ′fəŋk·shən]

(mathematics)

A function defined on a closed interval with the property that for any positive number ε there is another positive number η such that, for any finite set of nonoverlapping intervals, (a₁,b₁), (a₂,b₂), … , (a_n,b_n), whose lengths have a sum less than η, the sum over the intervals of the absolute values of the differences in the values of the function at the ends of the intervals is less than ε.

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No references found			Here, AC[-[pi], [pi]] denotes the set of all absolutely continuous functions on [-[pi], [pi]]. Approximation of bandlimited functions on a non-compact manifold by ... by Martin, R.; Kempf, A. / Sampling Theory in Signal and Image Processing 1) we mean an absolutely continuous function y : [[t. Overview of viability results/olevaade vitaalsustulemustest by Girejko, Ewa; Bartosiewicz, Zbigniew / Proceedings of the Estonian Academy of Science Physics/Mathematics 2) for x [member of] [a, b] where f : [a, b] [right arrow] R is an absolutely continuous function on [a, b]. Ostrowski-Gruss-Cebysev type inequalities involving several functions by Hwang, Shiow-Ru / Tamsui Oxford Journal of Mathematical Sciences			absolute specific gravity absolute stability absolute standard absolute stereochemistry absolute stereoscopic parallax absolute stop absolute system of units absolute temperature absolute temperature scale Absolute Term absolute threshold absolute time absolute unit absolute vacuum absolute value absolute vector absolute velocity absolute viscosity absolute volume absolute vorticity absolute wavemeter absolute weighing Absolute Zero Absolute, Sir Anthony absolute-value computer absolutely continuous function absolutely continuous measure absolution Absolutism absorb absorbance absorbancy absorbed charge absorbed dose absorbed moisture absorbed-dose rate absorbency absorbency index absorbent absorbent cotton absorbent paper Absorber absorber capacity absorber control absorber oil absorber plate absorbing boom Absorbing Load absorbing rod absorbing state absorbing subset			absolute volume Absolute Volume Based Dynamic Capacity absolute vorticity Absolute Wavelength Accuracy absolute wavemeter Absolute Web Graphics Archive absolute weighing Absolute Weight Strength Absolute With A Twist Absolute Work-at-Home Solutions absolute zero absolute zero absolute zero absolute zero absolute zero absolute zero absolute zeros absolute zeros absolute zeros Absolute, Sir Anthony Absolute-Rate Swap Absolute-Rate Swaps absolute-value computer absolutely absolutely absolutely Absolutely certain knowledge Absolutely certain knowledge Absolutely certain knowledge Absolutely certain knowledge absolutely continuous function Absolutely continuous measure absolutely convergent absolutely convergent Absolutely convergent improper integral Absolutely convergent improper integral Absolutely convergent series Absolutely convergent series Absolutely convex Absolutely convex envelope Absolutely convex set Absolutely Fabulous Absolutely Famous BIG Band Absolutely Free Icon Library Absolutely Gay Christian Men Absolutely Incredible Kid Day Absolutely integrable Absolutely Non-Circular Attribute Grammar Absolutely normal Absolutely normal number Absolutely not! Absolutely nothing Absolutely nothing Absolutely nothing Absolutely Off Topic Absolutely Precious Skin Absolutely Secret Absolutely Silly Old Buggers Absolutely Venomous Accurately Fallacious absoluteness absoluteness

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