Zachary

# 106 Questions

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### Proving a statement written in the following proof:

Apr 13 at 8:31 Zachary 429

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### Suppose $f: V \times V \to K$ is a sesquilinear form and $W \le V$ such that $V = W \oplus rad(f)$. Proof that $rad(f_{|W})$ is trivial.

Apr 13 at 8:07 Zachary 429

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### Permutation representation of a group

Apr 5 at 12:21 Zachary 429

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### Homotheties in an affine Desarguesian space: conjugation and factors

Apr 2 at 12:45 Zachary 429

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### Proof. The set of homotheties with center $p$ forms a group, for each point $p$ in an affine space.

Mar 31 at 9:41 Zachary 429

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### Proof regarding dilations in the affine space $\operatorname{AG}(V)$

Mar 31 at 9:40 Zachary 429

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### Suppose $g$ is a symmetric bilinear form, is $\operatorname{rad} g = \operatorname{rad}(g+g^T)$?

Mar 27 at 17:37 Zachary 429

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### Proof: Every reflexive $\sigma$-sesquilinear form, $\sigma \ne \mathbb{1}$, is proportional with a hermitian form

Mar 27 at 16:24 Zachary 429

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### Surface integral $\iint_{\Sigma} (x+y)zd\sigma$, with $\Sigma$ the surface of the cube $[0,1]^3$

Mar 19 at 17:42 user170231 4,324
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### Proof regarding affine spaces over fields

Mar 7 at 13:40 Zachary 429

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### Proving statements regarding bases of affine spaces

Mar 2 at 12:50 Zachary 429

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### Jacobian as matrix representation of a linear function

Feb 20 at 15:57 Zachary 429

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### Multivariable sequences; equivalence of two definitions

Feb 19 at 18:21 Zachary 429

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### Partial derivatives of a composed function $F = g \circ \mathbf{f}$

Feb 18 at 18:36 Zachary 429

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### For each $k = 0, \dots, 26$ count the number of ordered pairs $(a,b)$ in $\mathbb{F}_{27} ^2$ for which $a^k = b^2$

Jan 29 at 20:33 Zachary 429
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### Prove that each element in a finite field with characteristic $p$ is a $p$-th power for exactly one element in that field.

Jan 29 at 20:03 Zachary 429
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### Various questions from a discrete mathematics course

Jan 27 at 19:25 Zachary 429

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### Primitive element in $\mathbb{F}_9$, constructed with $f(t)=t^2 + 1$ [duplicate]

Jan 25 at 21:32 egreg 189k

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