List questions from proof-verification

Published on 14 Apr 2026 - 0:58

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Find 3rd order Taylor polynomial

Published on 16 Apr 2026 - 4:25

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Modular Arithmetic Proof on getting 103 from sum of 9's and 14's only

Published on 12 Apr 2026 - 22:58

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Equivalence of definition of symplectic form

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Prove that $\mathcal{A}\preceq \mathcal{B}$.

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Solving for $z_{t+1} = \begin{bmatrix} -1 & -2\\ -2& 2 \end{bmatrix}z_{t} - \begin{bmatrix} 24\\ 9 \end{bmatrix}$

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A set F is closed if and only if every convergent sequence in F converges to a limit in F

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Compute $\int_{-1}^{1} 5x^{6}(1 - |x|^{5}) \mathop{dx}$

Published on 16 Apr 2026 - 16:06

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Proof Stirling equality

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equality of two simple tensors in $R=k[x,y]$

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Evaluate $\int_C \frac{e^{1/z}}{(z-i)^3}dz$ in the circle $|z|=5$

Published on 17 Apr 2026 - 16:03

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Math Proof: Surjective/Injctive

Published on 12 Apr 2026 - 13:44

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Solution of $(z+a) \rho'(z) = 0$

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$(\mathbb{R}, \oplus, \odot)$ is a field? Given $a \oplus b=a+b+1$ and $a \odot b=a+b+ab$.

Published on 15 Apr 2026 - 12:00

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Let $(a_n), (b_n),$ be bounded, then prove that $c_n$ converges and give its value.

Published on 16 Apr 2026 - 16:58

List Question

Deriving Weyl's inequality from Courant-Fischer

Find 3rd order Taylor polynomial

Modular Arithmetic Proof on getting 103 from sum of 9's and 14's only

Equivalence of definition of symplectic form

Prove that $\mathcal{A}\preceq \mathcal{B}$.

Solving for $z_{t+1} = \begin{bmatrix} -1 & -2\\ -2& 2 \end{bmatrix}z_{t} - \begin{bmatrix} 24\\ 9 \end{bmatrix}$

A set F is closed if and only if every convergent sequence in F converges to a limit in F

Compute $\int_{-1}^{1} 5x^{6}(1 - |x|^{5}) \mathop{dx}$

Proof Stirling equality

equality of two simple tensors in $R=k[x,y]$

Evaluate $\int_C \frac{e^{1/z}}{(z-i)^3}dz$ in the circle $|z|=5$

Math Proof: Surjective/Injctive

Solution of $(z+a) \rho'(z) = 0$

$(\mathbb{R}, \oplus, \odot)$ is a field? Given $a \oplus b=a+b+1$ and $a \odot b=a+b+ab$.

Let $(a_n), (b_n),$ be bounded, then prove that $c_n$ converges and give its value.

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