List questions from solution-verification

Published on 08 Apr 2026 - 3:33

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Help Proving The Following Theorem On Taylor Expansions

Published on 25 Apr 2026 - 3:15

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How can we argue that the inductive hypothesis $a_n \le 3^{(2^n)}$ doesn't work here?

Published on 25 Apr 2026 - 22:48

58

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Is it possible to prove that line XY is perpendicular to line RS based on the given diagram?

Published on 16 Apr 2026 - 21:43

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Understanding the tree in the proof of Erdős-Rado theorem

Published on 09 Apr 2026 - 1:26

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Let $f\in L^+$ and $\int f <\infty$ for every $\epsilon>0$ there exists $E$ such that $\mu(E)<\infty$ and $\int_E f > \int f -\epsilon$.

Published on 17 Apr 2026 - 11:40

67

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Proving that $[E(a):F(a)] \leq [E:F]$.

Published on 15 Apr 2026 - 3:33

39

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Ash Probability and Measure 1.2.6 Proof Check

Published on 17 Apr 2026 - 5:11

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Show that $[0,1]$ and $[0,1]\times [0,1]$ have the same cardinality.

Published on 13 Apr 2026 - 21:57

57

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Distribution of $ \epsilon (X - 3Y)^2$, where $X, Y$ are $\mathcal{N}(0,1)$ and $\mathbb{P}(\epsilon = \pm 1) = \frac{1}{2}$. Is my solution correct?

Published on 16 Apr 2026 - 17:13

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Proof Verification: Length of linearly independent list $\le$ length of spanning list

Published on 15 May 2026 - 22:45

30

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Show that the randomized test is uniformly most powerful

Published on 10 Apr 2026 - 19:11

153

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Understanding the precise definition of limit

Published on 09 Apr 2026 - 7:15

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search the limit of a sum with an integral

Published on 13 Apr 2026 - 13:41

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If $N_1,\dotsb,N_r\lhd G$, then $\langle N_1\cup \dotsb\cup N_r\rangle =N_1\dotsb N_r$.

Published on 15 Apr 2026 - 18:52

List Question

Measure theory problem involving limits and integrals.

Help Proving The Following Theorem On Taylor Expansions

How can we argue that the inductive hypothesis $a_n \le 3^{(2^n)}$ doesn't work here?

Is it possible to prove that line XY is perpendicular to line RS based on the given diagram?

Understanding the tree in the proof of Erdős-Rado theorem

Let $f\in L^+$ and $\int f <\infty$ for every $\epsilon>0$ there exists $E$ such that $\mu(E)<\infty$ and $\int_E f > \int f -\epsilon$.

Proving that $[E(a):F(a)] \leq [E:F]$.

Ash Probability and Measure 1.2.6 Proof Check

Show that $[0,1]$ and $[0,1]\times [0,1]$ have the same cardinality.

Distribution of $ \epsilon (X - 3Y)^2$, where $X, Y$ are $\mathcal{N}(0,1)$ and $\mathbb{P}(\epsilon = \pm 1) = \frac{1}{2}$. Is my solution correct?

Proof Verification: Length of linearly independent list $\le$ length of spanning list

Show that the randomized test is uniformly most powerful

Understanding the precise definition of limit

search the limit of a sum with an integral

If $N_1,\dotsb,N_r\lhd G$, then $\langle N_1\cup \dotsb\cup N_r\rangle =N_1\dotsb N_r$.

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