Question

Two random variables are equal a.s. if $\{T'<t\} = \{T<t\}$ a.s. for all $t$?

score 34 · Answer 1 · 2020-02-12 15:33:11

34

Views

Two random variables are equal a.s. if $\{T'<t\} = \{T<t\}$ a.s. for all $t$?

Published on 12 Feb 2020 - 15:33

score 216 · Answer 2 · 2026-04-02 05:27:20

216

Views

What is the size of the set of lines in a finite field $\mathbb{F}_q$ of order $q$, where $q$ is a prime power?

Published on 02 Apr 2026 - 5:27

score 190 · Answer 3 · 2020-02-12 15:37:41

190

Views

Prove the statement $\lim\limits_{h\to0}\frac{b^h-1}{h}=1 \iff b=e$.

Published on 12 Feb 2020 - 15:37

score 776 · Answer 4 · 2026-03-25 03:07:27

776

Views

How many points belong to a line in a finite field?

Published on 25 Mar 2026 - 3:07

score 49 · Answer 5 · 2026-03-25 20:53:13

49

Views

$S=\operatorname{cl}_S(A), T = \operatorname{cl}_T(B) \implies \operatorname{cl}_{S\cup T}(A \cup B) = S \cup T$

Published on 25 Mar 2026 - 20:53

score 67 · Answer 6 · 2020-02-12 20:52:41

67

Views

Limit under integral problem.

Published on 12 Feb 2020 - 20:52

score 305 · Answer 7 · 2020-02-12 20:53:46

305

Views

Prove the difference between a number and the same number with two digits switched is always divisible by 9

Published on 12 Feb 2020 - 20:53

score 24 · Answer 8 · 2020-02-12 22:17:30

24

Views

Commutativity of Ring with polynomial elements

Published on 12 Feb 2020 - 22:17

score 507 · Answer 9 · 2020-02-12 22:49:58

507

Views

Show that $\sigma(\text{elementary cylinders})=\sigma(\text{cylinders)}$.

Published on 12 Feb 2020 - 22:49

score 61 · Answer 10 · 2020-02-12 23:05:42

61

Views

verify $\mu = \sum^{+\infty}_{n=1} e^{-n} \delta_{1/n}$ $\nu = \sum^{+\infty}_{n=1} e^{n} \delta_{1/n}$ are measures and define their negligeable sets

Published on 12 Feb 2020 - 23:05

score 64 · Answer 11 · 2026-03-29 20:45:56

64

Views

Contour integral evaluation verification

Published on 29 Mar 2026 - 20:45

score 387 · Answer 12 · 2020-02-13 01:34:43

387

Views

For $H \in \mathbb{R}^{d\times d}$ & $H^T = H; HH=H$, then for any vector $v \in \mathbb{R}^d$ show that:

Published on 13 Feb 2020 - 1:34

score 114 · Answer 13 · 2026-03-28 14:05:19

114

Views

(Proof Verification) The necessary and sufficient condition for $X:\mathbb{T}\times\Omega\longrightarrow\mathbb{R}$ to be a stochastic process.

Published on 28 Mar 2026 - 14:05

score 84 · Answer 14 · 2020-02-13 03:28:20

84

Views

If $f : \mathbb R \to \mathbb R$ is a differentiable function such that $f '(x) > 2f(x)$ for all $x\in R$, and $f(0) = 1$

Published on 13 Feb 2020 - 3:28

score 124 · Answer 15 · 2020-02-13 04:07:22

124

Views

dihedral group operation

Published on 13 Feb 2020 - 4:07

List Question

Two random variables are equal a.s. if $\{T'<t\} = \{T<t\}$ a.s. for all $t$?

What is the size of the set of lines in a finite field $\mathbb{F}_q$ of order $q$, where $q$ is a prime power?

Prove the statement $\lim\limits_{h\to0}\frac{b^h-1}{h}=1 \iff b=e$.

How many points belong to a line in a finite field?

$S=\operatorname{cl}_S(A), T = \operatorname{cl}_T(B) \implies \operatorname{cl}_{S\cup T}(A \cup B) = S \cup T$

Limit under integral problem.

Prove the difference between a number and the same number with two digits switched is always divisible by 9

Commutativity of Ring with polynomial elements

Show that $\sigma(\text{elementary cylinders})=\sigma(\text{cylinders)}$.

verify $\mu = \sum^{+\infty}_{n=1} e^{-n} \delta_{1/n}$ $\nu = \sum^{+\infty}_{n=1} e^{n} \delta_{1/n}$ are measures and define their negligeable sets

Contour integral evaluation verification

For $H \in \mathbb{R}^{d\times d}$ & $H^T = H; HH=H$, then for any vector $v \in \mathbb{R}^d$ show that:

(Proof Verification) The necessary and sufficient condition for $X:\mathbb{T}\times\Omega\longrightarrow\mathbb{R}$ to be a stochastic process.

If $f : \mathbb R \to \mathbb R$ is a differentiable function such that $f '(x) > 2f(x)$ for all $x\in R$, and $f(0) = 1$

dihedral group operation

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