User mathematics-and-caffeine - Mathematics Stack Exchange

6 votes

2 answers

943 views

Prof gave us wrong definition of convexity?

asked May 29 at 11:04

4 votes

1 answer

79 views

Projection is a covering map iff the topology is discrete

asked Jul 19, 2023 at 11:04

4 votes

1 answer

102 views

Total differentiation, is this true: $D(Df(a))(a) = f$?

asked Jun 23, 2021 at 15:43

4 votes

3 answers

409 views

Proof for volume of n-ball with radius 1

asked Jan 4, 2022 at 10:25

4 votes

1 answer

65 views

Calculate $\lim_{j \rightarrow \infty} \int_0^j (1+\frac{x}{j})^j e^{-\pi x}dx$

asked Jan 31, 2022 at 9:34

3 votes

1 answer

184 views

Is this a sub-manifold? $M=\{(x,y,z)\in\mathbb{R} \,\,|\,\, xy-z^2=1, \, x+z=2\}$

asked Aug 3, 2021 at 16:57

2 votes

1 answer

120 views

Conservative edgeweights, minimal path tree characterization

asked Mar 14, 2021 at 13:03

2 votes

1 answer

90 views

Understanding our prof's definition of P vs NP

asked Jan 11, 2022 at 9:18

2 votes

2 answers

67 views

$\int_K |x|^m |y|^n dx dy$

asked Jan 12, 2022 at 20:42

2 votes

1 answer

96 views

How to proof $\int_{(0,\infty)} \int_{(0,\infty)} |\sin x| \,\, e^{-xy} \,\, dx \,\, dy < \infty$

asked Dec 22, 2021 at 18:27

2 votes

2 answers

114 views

Residue calculus: Integrals go to zero

asked Jun 25, 2023 at 14:12

2 votes

0 answers

75 views

Fundamental group of mapping torus: Question about proof

asked Jun 8, 2023 at 16:12

2 votes

2 answers

108 views

Why do I get a different Laurent series than Taylor series?

asked Sep 20, 2023 at 22:00

2 votes

1 answer

145 views

Vague convergence of dirac measure

asked Jan 7 at 12:36

1 vote

1 answer

92 views

Laurent series with 2 poles

asked Sep 21, 2023 at 12:37

1 vote

1 answer

57 views

Inequality for holomorphic function on compact set

asked Sep 21, 2023 at 16:01

1 vote

1 answer

158 views

Details for calculating the fundamental group of mapping torus (in detail)

asked Jun 7, 2023 at 14:34

1 vote

1 answer

85 views

Prove that these two definitions of convex are equivalent [duplicate]

asked May 27 at 14:28

1 vote

1 answer

38 views

Expected value exists because it has an integrable lower bound?

asked Mar 10 at 13:55

1 vote

0 answers

36 views

Using the probability measure as the random variable also. Possible?

asked Mar 10 at 15:37

1 vote

2 answers

171 views

Suspension is simply connected if $X$ is path connected, proof

asked May 24, 2023 at 22:54

1 vote

0 answers

151 views

Residue calculus: Integrals vanish

asked Jun 27, 2023 at 7:36

1 vote

1 answer

63 views

Does this exercise assume path-connectedness? (Topology)

asked Jun 28, 2023 at 11:33

1 vote

1 answer

105 views

How to apply maximum modulus principle?

asked Jul 11, 2023 at 9:15

1 vote

0 answers

45 views

Proving homotopy invariance of the contour integral

asked Jun 5, 2023 at 13:58

1 vote

1 answer

697 views

Proof for $2SAT$ in $P$

asked Jan 17, 2022 at 18:16

1 vote

1 answer

105 views

Galois Group of $(x^2-a)^2-b$

asked Jan 20, 2022 at 9:21

1 vote

2 answers

82 views

Function $f$ with $|f|$ is Lebesgue integrable but $f$ isn't locally Lebesgue integrable

asked Dec 1, 2021 at 18:38

1 vote

3 answers

90 views

$\frac{d}{dt}|_{t=0}$ What does this notation mean? [closed]

asked Jul 27, 2021 at 19:09

1 vote

0 answers

37 views

$E = \{(x,y) \in \mathbb{R} \, | \, x \leq y, \, xy \geq 1 \, y \leq 2\}$, Calculate $\int_E \frac{y^2}{x^2}$

asked Jan 31, 2022 at 10:15

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81 Questions

Prof gave us wrong definition of convexity?

Projection is a covering map iff the topology is discrete

Total differentiation, is this true: $D(Df(a))(a) = f$?

Proof for volume of n-ball with radius 1

Calculate $\lim_{j \rightarrow \infty} \int_0^j (1+\frac{x}{j})^j e^{-\pi x}dx$

Is this a sub-manifold? $M=\{(x,y,z)\in\mathbb{R} \,\,|\,\, xy-z^2=1, \, x+z=2\}$

Conservative edgeweights, minimal path tree characterization

Understanding our prof's definition of P vs NP

$\int_K |x|^m |y|^n dx dy$

How to proof $\int_{(0,\infty)} \int_{(0,\infty)} |\sin x| \,\, e^{-xy} \,\, dx \,\, dy < \infty$

Residue calculus: Integrals go to zero

Fundamental group of mapping torus: Question about proof

Why do I get a different Laurent series than Taylor series?

Vague convergence of dirac measure

Laurent series with 2 poles

Inequality for holomorphic function on compact set

Details for calculating the fundamental group of mapping torus (in detail)

Prove that these two definitions of convex are equivalent [duplicate]

Expected value exists because it has an integrable lower bound?

Using the probability measure as the random variable also. Possible?

Suspension is simply connected if $X$ is path connected, proof

Residue calculus: Integrals vanish

Does this exercise assume path-connectedness? (Topology)

How to apply maximum modulus principle?

Proving homotopy invariance of the contour integral

Proof for $2SAT$ in $P$

Galois Group of $(x^2-a)^2-b$

Function $f$ with $|f|$ is Lebesgue integrable but $f$ isn't locally Lebesgue integrable

$\frac{d}{dt}|_{t=0}$ What does this notation mean? [closed]

$E = \{(x,y) \in \mathbb{R} \, | \, x \leq y, \, xy \geq 1 \, y \leq 2\}$, Calculate $\int_E \frac{y^2}{x^2}$