User Octavius

3 votes

1 answer

2k views

Transformation law for metric tensor

asked Dec 14, 2020 at 3:50

3 votes

1 answer

701 views

How is the sum of simplices defined?

asked Feb 22, 2021 at 22:39

3 votes

2 answers

1k views

Prove that curve is a straight line iff curvature vanishes.

asked Mar 13, 2021 at 19:18

3 votes

1 answer

64 views

Natural manifold topology vs. product topology

asked Mar 23, 2022 at 17:15

3 votes

1 answer

110 views

Solution to 2nd-order homogeneous linear ODE with variable coefficients.

asked Jun 6, 2022 at 14:07

2 votes

2 answers

102 views

$f \in C^{\infty} \Longleftrightarrow (g \circ f) \in C^{\infty} \; \forall \, g \in C^{\infty}$

asked Mar 13, 2022 at 12:35

2 votes

2 answers

631 views

Vectors as differential operators act on functions.

asked Feb 26, 2021 at 23:05

2 votes

1 answer

2k views

Normal curvature of sphere

asked May 29, 2021 at 1:32

2 votes

1 answer

604 views

Topology: crosscaps and handles

asked Nov 29, 2020 at 15:09

2 votes

3 answers

218 views

Integral over antisymmetric function diverges

asked Oct 24, 2020 at 14:23

1 vote

1 answer

145 views

Distribution of waiting time when lifetime is exponentially distributed

asked Oct 25, 2020 at 15:26

1 vote

1 answer

1k views

Uniformly distributed random variable on unit circle.

asked Oct 29, 2020 at 14:19

1 vote

2 answers

142 views

Integer within certain interval.

asked Apr 28, 2020 at 13:39

1 vote

0 answers

63 views

Non-degenerate bilinear form

asked Jun 4, 2019 at 17:03

1 vote

1 answer

188 views

Complexity of Quicksort

asked Nov 10, 2019 at 12:06

1 vote

0 answers

42 views

Primitive root of unity, GCD-Identity [duplicate]

asked Dec 15, 2019 at 21:17

1 vote

2 answers

364 views

Manifolds with boundaries: Why map boundary points onto boundary points?

asked Feb 23, 2021 at 15:52

1 vote

2 answers

2k views

Invariance of volume form under coordinate transformations

asked Dec 12, 2020 at 17:06

1 vote

0 answers

28 views

Question on specific properties of inner product on complex manifolds

asked Jun 2, 2021 at 12:29

1 vote

1 answer

135 views

Proving an identity involving pushforward

asked Jun 11, 2021 at 1:29

1 vote

0 answers

47 views

Proving equivalence of different definitions of isometry

asked Jun 20, 2021 at 14:58

1 vote

1 answer

193 views

Can the metric tensor be calculated?

asked Oct 11, 2021 at 16:12

1 vote

2 answers

286 views

Showing that $1/\sqrt{x}\in L^1$ by finding Cauchy sequence that converges to it

asked Oct 18, 2021 at 2:21

1 vote

1 answer

186 views

Induced topology on Hilbert cube

asked Nov 2, 2021 at 17:23

1 vote

1 answer

103 views

Does continuity of a map $f$ imply: $f^{-1}$ maps subbasis onto subbasis?

asked Nov 29, 2021 at 5:05

1 vote

1 answer

105 views

Hint for exercise on differential geometry

asked Mar 14, 2021 at 19:41

1 vote

1 answer

389 views

Deriving the basis-dependent definition of the Hodge star operator

asked Mar 16, 2021 at 19:24

1 vote

1 answer

87 views

Find another chart such that given set is a manifold.

asked May 2, 2021 at 14:34

1 vote

0 answers

33 views

Let $(E,B,\pi)$ be vector bundle and $W \subseteq E$. Prove $W = \pi^{-1}(W \cap B)$.

asked Apr 23, 2022 at 12:31

1 vote

0 answers

77 views

Differentiation matrix for Chebychev spectral-method

asked Mar 13, 2023 at 21:37

Stack Exchange Network

53 Questions

Transformation law for metric tensor

How is the sum of simplices defined?

Prove that curve is a straight line iff curvature vanishes.

Natural manifold topology vs. product topology

Solution to 2nd-order homogeneous linear ODE with variable coefficients.

$f \in C^{\infty} \Longleftrightarrow (g \circ f) \in C^{\infty} \; \forall \, g \in C^{\infty}$

Vectors as differential operators act on functions.

Normal curvature of sphere

Topology: crosscaps and handles

Integral over antisymmetric function diverges

Distribution of waiting time when lifetime is exponentially distributed

Uniformly distributed random variable on unit circle.

Integer within certain interval.

Non-degenerate bilinear form

Complexity of Quicksort

Primitive root of unity, GCD-Identity [duplicate]

Manifolds with boundaries: Why map boundary points onto boundary points?

Invariance of volume form under coordinate transformations

Question on specific properties of inner product on complex manifolds

Proving an identity involving pushforward

Proving equivalence of different definitions of isometry

Can the metric tensor be calculated?

Showing that $1/\sqrt{x}\in L^1$ by finding Cauchy sequence that converges to it

Induced topology on Hilbert cube

Does continuity of a map $f$ imply: $f^{-1}$ maps subbasis onto subbasis?

Hint for exercise on differential geometry

Deriving the basis-dependent definition of the Hodge star operator

Find another chart such that given set is a manifold.

Let $(E,B,\pi)$ be vector bundle and $W \subseteq E$. Prove $W = \pi^{-1}(W \cap B)$.

Differentiation matrix for Chebychev spectral-method