Question

How to prove the unique linear map that extends a function is only injective iff the vectors of the function are linearly independent

score 82 · Answer 1 · 2020-03-21 02:48:27

82

Views

How to prove the unique linear map that extends a function is only injective iff the vectors of the function are linearly independent

Published on 21 Mar 2020 - 2:48

score 58 · Answer 2 · 2026-03-27 22:04:50

58

Views

Is the product of a linear map and a tangent to 0 function a tangent to 0 function?

Published on 27 Mar 2026 - 22:04

score 219 · Answer 3 · 2020-03-21 04:34:56

219

Views

Prove, by the process of Mathematical Induction, that: $\sqrt 1 + \sqrt 2 + ... + \sqrt{n} < \frac{4n+3}{6}\sqrt{n}$ for all integers n > 0.

Published on 21 Mar 2020 - 4:34

score 37 · Answer 4 · 2020-03-21 06:13:56

37

Views

Possible limits of a positive sequence $(u_n)_{n\geq0}$

Published on 21 Mar 2020 - 6:13

score 38 · Answer 5 · 2026-04-01 16:23:09

38

Views

Proof check please: Express the solution of the following ODE as an integral

Published on 01 Apr 2026 - 16:23

score 206 · Answer 6 · 2020-03-21 09:38:22

206

Views

Prove $BCMD$ is a cyclic quadrilateral; two circles with common chord

Published on 21 Mar 2020 - 9:38

score 22 · Answer 7 · 2020-03-21 14:18:17

22

Views

Proving properties of vector magnitudes

Published on 21 Mar 2020 - 14:18

score 361 · Answer 8 · 2026-04-06 04:20:28

361

Views

The expectation of $\frac{1}{1+X}$ where $X$ is Geometric($p$)

Published on 06 Apr 2026 - 4:20

score 1.5k · Answer 9 · 2020-03-21 15:57:33

1.5k

Views

$\int_0^1 (x \ln x)^{2020} \, \mathrm{d}x$

Published on 21 Mar 2020 - 15:57

score 77 · Answer 10 · 2020-03-21 16:49:04

77

Views

How to find the limit of a integral?

Published on 21 Mar 2020 - 16:49

score 45 · Answer 11 · 2020-03-21 18:04:42

45

Views

Proof verification: For any function $f:A\rightarrow B$ there exists a function $g:B \rightarrow A$ so that $g \circ f=I_A$

Published on 21 Mar 2020 - 18:04

score 57 · Answer 12 · 2026-03-25 14:22:34

57

Views

$G$ is $n$-edge-connected iff $L(G)$ is $n$-connected

Published on 25 Mar 2026 - 14:22

score 165 · Answer 13 · 2020-03-21 18:40:53

165

Views

Proving $F\subseteq\mathbb{R^n}$ is closed if and only if every convergent sequence $x^{(k)}\in\mathbb{R^n}$

Published on 21 Mar 2020 - 18:40

score 78 · Answer 14 · 2026-03-30 00:05:33

78

Views

Sanity check the description of $\Bbb{Z}_2[x]/\langle x^3+x+1\rangle$.

Published on 30 Mar 2026 - 0:05

score 91 · Answer 15 · 2026-03-30 03:53:32

91

Views

Calculate the limit (verifying my answer).

Published on 30 Mar 2026 - 3:53

List Question

How to prove the unique linear map that extends a function is only injective iff the vectors of the function are linearly independent

Is the product of a linear map and a tangent to 0 function a tangent to 0 function?

Prove, by the process of Mathematical Induction, that: $\sqrt 1 + \sqrt 2 + ... + \sqrt{n} < \frac{4n+3}{6}\sqrt{n}$ for all integers n > 0.

Possible limits of a positive sequence $(u_n)_{n\geq0}$

Proof check please: Express the solution of the following ODE as an integral

Prove $BCMD$ is a cyclic quadrilateral; two circles with common chord

Proving properties of vector magnitudes

The expectation of $\frac{1}{1+X}$ where $X$ is Geometric($p$)

$\int_0^1 (x \ln x)^{2020} \, \mathrm{d}x$

How to find the limit of a integral?

Proof verification: For any function $f:A\rightarrow B$ there exists a function $g:B \rightarrow A$ so that $g \circ f=I_A$

$G$ is $n$-edge-connected iff $L(G)$ is $n$-connected

Proving $F\subseteq\mathbb{R^n}$ is closed if and only if every convergent sequence $x^{(k)}\in\mathbb{R^n}$

Sanity check the description of $\Bbb{Z}_2[x]/\langle x^3+x+1\rangle$.

Calculate the limit (verifying my answer).

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