Question

If $f(a v) = a^2 f(v) $ and $B (v,w) := f(v+w) - f(v) - f(w) $is a bilinear form then $f$ is a quadratic form.

score 67 · Answer 1 · 2023-03-20 14:48:10

67

Views

If $f(a v) = a^2 f(v) $ and $B (v,w) := f(v+w) - f(v) - f(w) $is a bilinear form then $f$ is a quadratic form.

Published on 20 Mar 2023 - 14:48

score 46 · Answer 2 · 2023-03-21 15:49:11

46

Views

What is the derivative of this quadratic form?

Published on 21 Mar 2023 - 15:49

score 171 · Answer 3 · 2026-03-26 22:58:00

171

Views

Is the length of a vector-valued quadratic form a quadratic form?

Published on 26 Mar 2026 - 22:58

score 155 · Answer 4 · 2023-03-28 09:10:39

155

Views

Independence of two quadratic forms when the population is multi-normal.

Published on 28 Mar 2023 - 9:10

score 18 · Answer 5 · 2023-04-06 13:52:51

Does $\alpha \in G_F(\pi)$ where $\pi \cong \pi' \perp b \pi'$ imply $\alpha (\pi' \perp \langle b \rangle) \cong \pi' \perp \langle b \rangle$?

score 201 · Answer 6 · 2023-04-07 12:40:07

201

Views

Prove that $\sum_{i,j=1}^n \frac{a_ia_j}{1 - a_i^2a_j^2}\geq 0$ where each $|a_i| < 1$

Published on 07 Apr 2023 - 12:40

score 45 · Answer 7 · 2023-04-15 09:34:09

45

Views

Branching out domain topographs

Published on 15 Apr 2023 - 9:34

score 170 · Answer 8 · 2023-04-18 10:33:52

170

Views

Find a tighter upper bound for the ratio involving quadratic forms

Published on 18 Apr 2023 - 10:33

score 190 · Answer 9 · 2023-04-20 02:39:37

190

Views

Inequality about matrix quadratic form

Published on 20 Apr 2023 - 2:39

score 48 · Answer 10 · 2023-04-21 11:53:02

48

Views

Can anyone show me $V(r)=V_0\ln(\frac{b}{a}) \ln(r)-V_0\ln(\frac{b}{a}) \ln(b)=\frac{V_0}{\ln(\frac{a}{b})}\ln(\frac{r}{b})$?

Published on 21 Apr 2023 - 11:53

score 72 · Answer 11 · 2023-04-22 07:22:02

72

Views

Why the factors of a quadratic equation $ax^2 + bx + c$ are given as $(x - \alpha)(x - \beta)$ and not as $(x + \alpha) (x + \beta)$

Published on 22 Apr 2023 - 7:22

score 86 · Answer 12 · 2026-03-26 03:01:44

86

Views

Lower bounding the mean of a quadratic form with a positive semi-definite matrix

Published on 26 Mar 2026 - 3:01

score 25 · Answer 13 · 2023-04-23 11:31:12

25

Views

Finding all values for which the form is positive definite

Published on 23 Apr 2023 - 11:31

score 36 · Answer 14 · 2026-03-27 00:59:00

36

Views

All vectors that can be included in a basis such that a quadratic form is diagonalized in that basis

Published on 27 Mar 2026 - 0:59

score 57 · Answer 15 · 2026-03-25 11:13:23

57

Views

Criterion for unicity and existence of pre-image in multivariate cryptography

Published on 25 Mar 2026 - 11:13

List Question

If $f(a v) = a^2 f(v) $ and $B (v,w) := f(v+w) - f(v) - f(w) $is a bilinear form then $f$ is a quadratic form.

What is the derivative of this quadratic form?

Is the length of a vector-valued quadratic form a quadratic form?

Independence of two quadratic forms when the population is multi-normal.

Does $\alpha \in G_F(\pi)$ where $\pi \cong \pi' \perp b \pi'$ imply $\alpha (\pi' \perp \langle b \rangle) \cong \pi' \perp \langle b \rangle$?

Prove that $\sum_{i,j=1}^n \frac{a_ia_j}{1 - a_i^2a_j^2}\geq 0$ where each $|a_i| < 1$

Branching out domain topographs

Find a tighter upper bound for the ratio involving quadratic forms

Inequality about matrix quadratic form

Can anyone show me $V(r)=V_0\ln(\frac{b}{a}) \ln(r)-V_0\ln(\frac{b}{a}) \ln(b)=\frac{V_0}{\ln(\frac{a}{b})}\ln(\frac{r}{b})$?

Why the factors of a quadratic equation $ax^2 + bx + c$ are given as $(x - \alpha)(x - \beta)$ and not as $(x + \alpha) (x + \beta)$

Lower bounding the mean of a quadratic form with a positive semi-definite matrix

Finding all values for which the form is positive definite

All vectors that can be included in a basis such that a quadratic form is diagonalized in that basis

Criterion for unicity and existence of pre-image in multivariate cryptography

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