Question

What is the probability that a randomly chosen $x$ in $[0,\infty)$ is less than 1, if the probability density function on $[0,+∞)$ is given by ...

score 68 · Answer 1 · 2026-04-12 05:26:35

68

Views

What is the probability that a randomly chosen $x$ in $[0,\infty)$ is less than 1, if the probability density function on $[0,+∞)$ is given by ...

Published on 12 Apr 2026 - 5:26

score 108 · Answer 2 · 2026-05-05 17:16:37

108

Views

But when will $i^x=2$?

Published on 05 May 2026 - 17:16

score 79 · Answer 3 · 2026-04-15 17:38:27

79

Views

Show that $\frac{1}{n} \sum \limits_{k=1}^{n} X_{k}-\frac{1}{n} \sum \limits_{k=1}^{n} \mathbb{E} X_{k} \stackrel{\text { f.s. }}{\longrightarrow} 0$

Published on 15 Apr 2026 - 17:38

score 58 · Answer 4 · 2026-05-15 22:35:47

58

Views

Prove that $\sqrt{1+x} < 1+\frac{1}{2}x$ if $x>0$ using MVT

Published on 15 May 2026 - 22:35

score 60 · Answer 5 · 2026-04-15 20:33:48

Proving that, if $\mu$ and $\nu_n,n\in\Bbb N$ are non - negative measures, $\mu\perp\nu_n\forall n\in\Bbb N\Rightarrow\mu\perp\sum_{n=1}^\infty\nu_n$

score 57 · Answer 6 · 2026-04-12 21:56:39

57

Views

Non-uniqueness of the extension in the Hahn-Banach Theorem for normed spaces and a question about a final consideration.

Published on 12 Apr 2026 - 21:56

score 98 · Answer 7 · 2026-04-15 18:13:00

98

Views

Proving $\arctan(\sinh(x))= 2\arctan(e^x) - \frac{\pi}{2}$

Published on 15 Apr 2026 - 18:13

score 30 · Answer 8 · 2026-04-09 14:33:09

30

Views

Showing that a function is an injection.

Published on 09 Apr 2026 - 14:33

score 155 · Answer 9 · 2026-04-17 04:49:52

155

Views

Suppose $\{f_n\}$ are a sequence of non negative measurable functions and $f_n\to f$ point wise, and $\int f=\lim \int f_n$

Published on 17 Apr 2026 - 4:49

score 37 · Answer 10 · 2026-04-25 22:47:46

37

Views

Is this a valid inductive step to prove Bernoulli's inequality inductively?

Published on 25 Apr 2026 - 22:47

score 47 · Answer 11 · 2026-04-12 16:11:54

47

Views

Let $f$ be nonnegative measurable function from $X$ to $[0,\infty]$ and $\int f <\infty$, show $\{x:f(x)=\infty\}$ is a null set.

Published on 12 Apr 2026 - 16:11

score 128 · Answer 12 · 2026-04-16 04:46:12

128

Views

Is my proof that $\log(1+x) = 1 - \frac 1 2 x^2 + \frac 1 3 x^3 - \dotsc$ is not an algebraic power series sound?

Published on 16 Apr 2026 - 4:46

score 54 · Answer 13 · 2026-04-11 22:12:08

54

Views

How to prove by contradiction that a function of bounded variation is bounded

Published on 11 Apr 2026 - 22:12

score 53 · Answer 14 · 2026-04-16 14:22:17

53

Views

Proof that the cartesian product of $n \in \mathbb{N}$ countably infinite sets is countably infinite - Induction

Published on 16 Apr 2026 - 14:22

score 126 · Answer 15 · 2026-04-15 09:19:09

126

Views

Find the solution set for the inequality $\sqrt{a^{2} - 2a} > a - 4$

Published on 15 Apr 2026 - 9:19

List Question

What is the probability that a randomly chosen $x$ in $[0,\infty)$ is less than 1, if the probability density function on $[0,+∞)$ is given by ...

But when will $i^x=2$?

Show that $\frac{1}{n} \sum \limits_{k=1}^{n} X_{k}-\frac{1}{n} \sum \limits_{k=1}^{n} \mathbb{E} X_{k} \stackrel{\text { f.s. }}{\longrightarrow} 0$

Prove that $\sqrt{1+x} < 1+\frac{1}{2}x$ if $x>0$ using MVT

Proving that, if $\mu$ and $\nu_n,n\in\Bbb N$ are non - negative measures, $\mu\perp\nu_n\forall n\in\Bbb N\Rightarrow\mu\perp\sum_{n=1}^\infty\nu_n$

Non-uniqueness of the extension in the Hahn-Banach Theorem for normed spaces and a question about a final consideration.

Proving $\arctan(\sinh(x))= 2\arctan(e^x) - \frac{\pi}{2}$

Showing that a function is an injection.

Suppose $\{f_n\}$ are a sequence of non negative measurable functions and $f_n\to f$ point wise, and $\int f=\lim \int f_n$

Is this a valid inductive step to prove Bernoulli's inequality inductively?

Let $f$ be nonnegative measurable function from $X$ to $[0,\infty]$ and $\int f <\infty$, show $\{x:f(x)=\infty\}$ is a null set.

Is my proof that $\log(1+x) = 1 - \frac 1 2 x^2 + \frac 1 3 x^3 - \dotsc$ is not an algebraic power series sound?

How to prove by contradiction that a function of bounded variation is bounded

Proof that the cartesian product of $n \in \mathbb{N}$ countably infinite sets is countably infinite - Induction

Find the solution set for the inequality $\sqrt{a^{2} - 2a} > a - 4$

Trending Questions

Popular # Hahtags

Popular Questions