Question

Space $C^1$ is finite dimensional in $C[a,b]$. What is its basis?

score 295 · Answer 1 · 2026-04-14 08:40:39

295

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Space $C^1$ is finite dimensional in $C[a,b]$. What is its basis?

Published on 14 Apr 2026 - 8:40

score 114 · Answer 2 · 2026-04-14 21:35:16

114

Views

Slope of any line segment of a piecewise-linear function is bounded by $M$, then so is the line segment connecting any 2 points.

Published on 14 Apr 2026 - 21:35

score 419 · Answer 3 · 2026-04-14 05:20:24

419

Views

Integral of the derivative of an increasing function

Published on 14 Apr 2026 - 5:20

score 43 · Answer 4 · 2026-04-15 01:34:16

43

Views

$\sum_{n=-\infty}^{\infty} \ z_n$ what is mean of this series converge

Published on 15 Apr 2026 - 1:34

score 775 · Answer 5 · 2026-04-17 10:43:36

775

Views

What is the radius of convergence of the Taylor series of $\frac{2\tan x}{1+4x^2}$ around $x=0?$

Published on 17 Apr 2026 - 10:43

score 58 · Answer 6 · 2026-04-16 11:44:01

58

Views

Existence of $h \in L^p$ function that satisfied $\int f(g-h) =0$ for $g$ measurable and $f \in L^q$

Published on 16 Apr 2026 - 11:44

score 1.3k · Answer 7 · 2026-04-29 12:50:38

1.3k

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Are my arguments correct about limit points of $A=${$m+n\sqrt 2:m,n\in \mathbb Z$}?

Published on 29 Apr 2026 - 12:50

score 100 · Answer 8 · 2026-04-13 20:59:01

100

Views

Approximation lemma for continuous functions $f\in C_{K}$

Published on 13 Apr 2026 - 20:59

score 1.3k · Answer 9 · 2026-04-29 12:25:56

1.3k

Views

Let $M\subset l^{\infty}$ be the subspace of $\; l^{\infty}$ consisting of all sequences $(x_{i})$ with at

Published on 29 Apr 2026 - 12:25

score 792 · Answer 10 · 2026-04-11 16:19:42

792

Views

Can an right-continuous increasing function have uncountable many jump points?

Published on 11 Apr 2026 - 16:19

score 65 · Answer 11 · 2026-04-15 08:48:35

65

Views

Determine $n$ so that the difference between the $n$-th Taylor-polynomial of $\sin(x)$ with $x_0=0$ and $\sin(x)$ on $[-3,3]$ is at most $10^{-6}$?

Published on 15 Apr 2026 - 8:48

score 172 · Answer 12 · 2026-04-15 09:31:38

172

Views

Convexity or concavity implied by an inequality

Published on 15 Apr 2026 - 9:31

score 193 · Answer 13 · 2026-04-23 11:02:58

193

Views

Proving Integral Exists in $\mathbb{R}^2$

Published on 23 Apr 2026 - 11:02

score 257 · Answer 14 · 2026-04-16 02:55:21

257

Views

What is the Infimum and Supremum of the Set $E= \{n/(n+1): n \in\mathbb N\}$?

Published on 16 Apr 2026 - 2:55

score 43 · Answer 15 · 2026-04-12 18:44:03

43

Views

Image of parallelogram $f(A)$

Published on 12 Apr 2026 - 18:44

List Question

Space $C^1$ is finite dimensional in $C[a,b]$. What is its basis?

Slope of any line segment of a piecewise-linear function is bounded by $M$, then so is the line segment connecting any 2 points.

Integral of the derivative of an increasing function

$\sum_{n=-\infty}^{\infty} \ z_n$ what is mean of this series converge

What is the radius of convergence of the Taylor series of $\frac{2\tan x}{1+4x^2}$ around $x=0?$

Existence of $h \in L^p$ function that satisfied $\int f(g-h) =0$ for $g$ measurable and $f \in L^q$

Are my arguments correct about limit points of $A=${$m+n\sqrt 2:m,n\in \mathbb Z$}?

Approximation lemma for continuous functions $f\in C_{K}$

Let $M\subset l^{\infty}$ be the subspace of $\; l^{\infty}$ consisting of all sequences $(x_{i})$ with at

Can an right-continuous increasing function have uncountable many jump points?

Determine $n$ so that the difference between the $n$-th Taylor-polynomial of $\sin(x)$ with $x_0=0$ and $\sin(x)$ on $[-3,3]$ is at most $10^{-6}$?

Convexity or concavity implied by an inequality

Proving Integral Exists in $\mathbb{R}^2$

What is the Infimum and Supremum of the Set $E= \{n/(n+1): n \in\mathbb N\}$?

Image of parallelogram $f(A)$

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