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Exercise 1, Section 6.7 of Hoffman’s Linear Algebra

score 50 · Answer 1 · 2026-04-11 04:22:24

50

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Exercise 1, Section 6.7 of Hoffman’s Linear Algebra

Published on 11 Apr 2026 - 4:22

score 47 · Answer 2 · 2026-04-11 22:19:18

47

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Proof of Heine Borel, not in general topology

Published on 11 Apr 2026 - 22:19

score 65 · Answer 3 · 2026-04-17 01:27:26

65

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$f(x) \begin{cases} \frac{x^2+4x}{1-2x} , x<0\\ \int^x_0 e^{cos(t)} , x\geq 0\\ \end {cases} $ is the function differentiable in all $\Bbb R$

Published on 17 Apr 2026 - 1:27

score 183 · Answer 4 · 2026-04-13 00:32:36

183

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Can this proof of the Chain Rule be salvaged?

Published on 13 Apr 2026 - 0:32

score 93 · Answer 5 · 2026-04-17 03:45:12

93

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Prove that if $(2+x)/y$ is rational, then $x$ is rational or $y$ is irrational.

Published on 17 Apr 2026 - 3:45

score 61 · Answer 6 · 2026-04-14 07:58:46

61

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Verify my solution to a big O problem since my intuition is telling me something else

Published on 14 Apr 2026 - 7:58

score 143 · Answer 7 · 2026-04-13 02:24:06

143

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Find the equation of a system of coaxial circles of which the points $(\pm k,0)$ are the limiting points.

Published on 13 Apr 2026 - 2:24

score 54 · Answer 8 · 2026-04-15 02:40:38

54

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Prove that $f:(X,d_X)\to (Y,d_Y)$ being continuous at $x\in X$ $\Leftrightarrow$ given any neighbourhood $N$ of $f(x)$, $f^{-1}(N)$ is a nbhd. of $x$

Published on 15 Apr 2026 - 2:40

score 87 · Answer 9 · 2026-04-15 14:49:43

87

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If $\lim_{n\to\infty} a_n=a$, then $\lim_{n\to\infty}\sum_{k=0}^n\frac{a_k}{n+1}=a$

Published on 15 Apr 2026 - 14:49

score 119 · Answer 10 · 2026-04-13 22:51:26

119

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morphism of ringed space induce morphism on the stalk

Published on 13 Apr 2026 - 22:51

score 2.6k · Answer 11 · 2026-04-14 14:37:56

Find the equation of the cylinder whose generators are parallel to the line $\frac x1=\frac {-y}{2}=\frac z3$ and whose guiding curve is the ellipse

score 78 · Answer 12 · 2026-04-24 04:34:21

78

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Proving $IM$ is a submodule of a left $R$-module $M$.

Published on 24 Apr 2026 - 4:34

score 18 · Answer 13 · 2026-04-11 13:13:39

18

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Is this a proper way of determining temporal dependence, for this integro-differential equation?

Published on 11 Apr 2026 - 13:13

score 117 · Answer 14 · 2026-04-13 20:17:32

117

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Is this proof of a generalization of Borel-Cantelli correct?

Published on 13 Apr 2026 - 20:17

score 63 · Answer 15 · 2026-04-11 16:52:00

63

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How to prove that if $\vdash_{ax} A$, then, for every formula B that is an instance of A, $\vdash_{ax} B$?

Published on 11 Apr 2026 - 16:52

List Question

Exercise 1, Section 6.7 of Hoffman’s Linear Algebra

Proof of Heine Borel, not in general topology

$f(x) \begin{cases} \frac{x^2+4x}{1-2x} , x<0\\ \int^x_0 e^{cos(t)} , x\geq 0\\ \end {cases} $ is the function differentiable in all $\Bbb R$

Can this proof of the Chain Rule be salvaged?

Prove that if $(2+x)/y$ is rational, then $x$ is rational or $y$ is irrational.

Verify my solution to a big O problem since my intuition is telling me something else

Find the equation of a system of coaxial circles of which the points $(\pm k,0)$ are the limiting points.

Prove that $f:(X,d_X)\to (Y,d_Y)$ being continuous at $x\in X$ $\Leftrightarrow$ given any neighbourhood $N$ of $f(x)$, $f^{-1}(N)$ is a nbhd. of $x$

If $\lim_{n\to\infty} a_n=a$, then $\lim_{n\to\infty}\sum_{k=0}^n\frac{a_k}{n+1}=a$

morphism of ringed space induce morphism on the stalk

Find the equation of the cylinder whose generators are parallel to the line $\frac x1=\frac {-y}{2}=\frac z3$ and whose guiding curve is the ellipse

Proving $IM$ is a submodule of a left $R$-module $M$.

Is this a proper way of determining temporal dependence, for this integro-differential equation?

Is this proof of a generalization of Borel-Cantelli correct?

How to prove that if $\vdash_{ax} A$, then, for every formula B that is an instance of A, $\vdash_{ax} B$?

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