Question

Give an example of a skew–symmetric2×2–matrix B with entries in C for which I2+B is not invertible

score 47 · Answer 1 · 2018-11-30 16:50:59

47

Views

Give an example of a skew–symmetric2×2–matrix B with entries in C for which I2+B is not invertible

Published on 30 Nov 2018 - 16:50

score 24 · Answer 2 · 2026-03-25 14:25:32

24

Views

An example of the fact that from measurability of a random process does not follow measurability of its integral

Published on 25 Mar 2026 - 14:25

score 280 · Answer 3 · 2026-03-26 17:29:24

280

Views

Example of holomorphic function with no natural root

Published on 26 Mar 2026 - 17:29

score 56 · Answer 4 · 2018-12-02 09:24:21

56

Views

Counterexample for $f$ is strictly increasing ,$ g$ and $f\circ g$ is continous but f is not continous

Published on 02 Dec 2018 - 9:24

score 418 · Answer 5 · 2018-12-02 12:51:51

418

Views

Example of Series such that $\sum a_n$ converges but $\sum a_n^4$ diverges

Published on 02 Dec 2018 - 12:51

score 792 · Answer 6 · 2018-12-02 17:02:03

792

Views

bounded differentiable functions

Published on 02 Dec 2018 - 17:02

score 273 · Answer 7 · 2026-03-26 03:12:16

273

Views

Theorem 3.37 in Baby Rudin: Any Counter-Examples In The Other Case?

Published on 26 Mar 2026 - 3:12

score 142 · Answer 8 · 2018-12-03 14:58:00

142

Views

Counterexample in Kolmogorov theorem about existence of almost surely continuous modification

Published on 03 Dec 2018 - 14:58

score 82 · Answer 9 · 2018-12-03 15:49:31

82

Views

Is it possible for the sequence $\{\frac{x_{n+1}}{x_n}\}$ to be unbounded but have $\lim_{n\to\infty} x_n = x$, $x_n \ne 0$

Published on 03 Dec 2018 - 15:49

score 87 · Answer 10 · 2018-12-03 23:30:35

87

Views

reciprocal of the Schwarz theorem

Published on 03 Dec 2018 - 23:30

score 100 · Answer 11 · 2026-03-25 13:54:10

100

Views

Decimal representation of the set [0,1)

Published on 25 Mar 2026 - 13:54

score 60 · Answer 12 · 2018-12-05 13:51:54

$\mathcal{f}$(A $\cap$ B) = $\mathcal{f}$(A) $\cap$ $\mathcal{f}$(B) $\iff$ $\mathcal{f}$ is injective. Numerical example and counterexample.

score 1.1k · Answer 13 · 2018-12-05 19:06:13

1.1k

Views

Non-example of UFD

Published on 05 Dec 2018 - 19:06

score 769 · Answer 14 · 2018-12-06 11:36:21

769

Views

does there exist a smooth function which is nowhere convex/concave?

Published on 06 Dec 2018 - 11:36

score 41 · Answer 15 · 2018-12-06 16:30:20

41

Views

Counter example of continous function such that there is Set S with $f(S)^\circ \subset (f(S^\circ))$

Published on 06 Dec 2018 - 16:30

List Question

Give an example of a skew–symmetric2×2–matrix B with entries in C for which I2+B is not invertible

An example of the fact that from measurability of a random process does not follow measurability of its integral

Example of holomorphic function with no natural root

Counterexample for $f$ is strictly increasing ,$ g$ and $f\circ g$ is continous but f is not continous

Example of Series such that $\sum a_n$ converges but $\sum a_n^4$ diverges

bounded differentiable functions

Theorem 3.37 in Baby Rudin: Any Counter-Examples In The Other Case?

Counterexample in Kolmogorov theorem about existence of almost surely continuous modification

Is it possible for the sequence $\{\frac{x_{n+1}}{x_n}\}$ to be unbounded but have $\lim_{n\to\infty} x_n = x$, $x_n \ne 0$

reciprocal of the Schwarz theorem

Decimal representation of the set [0,1)

$\mathcal{f}$(A $\cap$ B) = $\mathcal{f}$(A) $\cap$ $\mathcal{f}$(B) $\iff$ $\mathcal{f}$ is injective. Numerical example and counterexample.

Non-example of UFD

does there exist a smooth function which is nowhere convex/concave?

Counter example of continous function such that there is Set S with $f(S)^\circ \subset (f(S^\circ))$

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