sordidness discontinuous

– In the 1830s and 1840s, the social conscience of the middle-class public had been stirred by the miseries of factory life. Rural squalor was accepted as a fact of life, but urban sordidness, filth and overpopulation caused concern, and lead to calls for a sanitary reform.

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This article describes the classification of discontinuities in the simplest case of functions of a single real variable taking real values. The oscillation of a function at a point quantifies these discontinuities as follows: in a removable discontinuity, the distance that the value of the function is off by is the oscillation;

Classification of discontinuities – Wikipedia – Thomae’s function is discontinuous at every rational point, but continuous at every irrational point. The indicator function of the rationals, also known as the Dirichlet function, is discontinuous everywhere.

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“Out of such recollections, out of his sense of the discontinuity in. City, is “the most corroding life on earth,” and money the most sordid kind of.

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