List questions from piecewise-continuity

Published on 27 Feb 2026 - 20:28

97

Views

Analyzing the continuity of $\sin(x\left \lfloor{\frac{\pi }{x}} \right \rfloor)$ at 0

Published on 28 Feb 2026 - 15:02

1k

Views

Analyzing the continuity and derivability of $\frac{1-\cos(x)}{x}$ at 0

Published on 28 Feb 2026 - 19:03

521

Views

Distinction between Tent Map and pievewise linear chaotic map

Published on 28 Feb 2026 - 5:40

14

Views

A systematic method for transforming piece-wise functions into one another.

Published on 28 Feb 2026 - 3:03

137

Views

Double-Integral over Product of three Legende-Polynomials

Published on 06 Dec 2016 - 13:14

200

Views

prove a piece-wise f(x) is continuous but not uniformly continuous on [0,1)

Published on 27 Feb 2026 - 19:36

149

Views

Defining a test function $\phi\in\mathcal{D}(\mathbb{R})$ on Matlab

Published on 28 Feb 2026 - 9:42

223

Views

Wave equation on infinite line with piecewise $2\pi$-periodic i.c.

Published on 27 Feb 2026 - 23:19

377

Views

Extend piecewise function with both pieces constant to even function

Published on 28 Feb 2026 - 8:00

48

Views

Representing a piece-wise function in terms of the unit step

Published on 28 Feb 2026 - 10:44

457

Views

Is the weak derivative of any function of the form $f(\lfloor g(x) \rfloor)$ $0$ everywhere?

Published on 28 Feb 2026 - 0:20

758

Views

Calculate the distribution of $f(X)$, where $X$ is uniform and $f$ is piecewise linear

Published on 27 Feb 2026 - 23:49

862

Views

Lower convex envelope of a piecewise function

Published on 28 Feb 2026 - 4:25

608

Views

Evaluation of the delta function at the endpoints of interval

Published on 28 Feb 2026 - 14:22

List Question

Constructing $C^2$-maps

Analyzing the continuity of $\sin(x\left \lfloor{\frac{\pi }{x}} \right \rfloor)$ at 0

Analyzing the continuity and derivability of $\frac{1-\cos(x)}{x}$ at 0

Distinction between Tent Map and pievewise linear chaotic map

A systematic method for transforming piece-wise functions into one another.

Double-Integral over Product of three Legende-Polynomials

prove a piece-wise f(x) is continuous but not uniformly continuous on [0,1)

Defining a test function $\phi\in\mathcal{D}(\mathbb{R})$ on Matlab

Wave equation on infinite line with piecewise $2\pi$-periodic i.c.

Extend piecewise function with both pieces constant to even function

Representing a piece-wise function in terms of the unit step

Is the weak derivative of any function of the form $f(\lfloor g(x) \rfloor)$ $0$ everywhere?

Calculate the distribution of $f(X)$, where $X$ is uniform and $f$ is piecewise linear

Lower convex envelope of a piecewise function

Evaluation of the delta function at the endpoints of interval

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