Question

Prove that $f \circ f$ is homothety or a constant transformation

score 101 · Answer 1 · 2020-05-19 18:42:02

101

Views

Prove that $f \circ f$ is homothety or a constant transformation

Published on 19 May 2020 - 18:42

score 361 · Answer 2 · 2020-05-20 14:57:07

361

Views

Prove that the affine transformation $f$ has at least one fixed point,

Published on 20 May 2020 - 14:57

score 54 · Answer 3 · 2020-05-21 18:49:53

54

Views

Prove that $id_{\vec{X}} + f’ + (f’)^{2}+\cdots+(f’)^{n}=0$, where $f:X\to X$ is the bijective affine transformation

Published on 21 May 2020 - 18:49

score 73 · Answer 4 · 2020-05-21 18:55:53

73

Views

Prove that $f = \alpha_1 f_1 + \cdots + \alpha_r f_r: X → Y, f(M) = \alpha_1 f_1(M) + · · · + \alpha_r f_r(M)$ is an affine transformation

Published on 21 May 2020 - 18:55

score 126 · Answer 5 · 2020-05-22 01:14:37

126

Views

Example for showing that an algebraic set is defined over the base field

Published on 22 May 2020 - 1:14

score 182 · Answer 6 · 2020-05-23 10:57:25

182

Views

Direct image sheaf under an open embedding

Published on 23 May 2020 - 10:57

score 2.2k · Answer 7 · 2020-05-23 15:25:30

2.2k

Views

Reduce to its canonical form the conic $\Gamma:=x^2+4xy+4y^2+2x-4y$

Published on 23 May 2020 - 15:25

score 538 · Answer 8 · 2020-05-27 20:05:37

538

Views

Intersection of affine hyperplanes

Published on 27 May 2020 - 20:05

score 154 · Answer 9 · 2026-03-26 19:05:40

154

Views

Dimension of an affine space

Published on 26 Mar 2026 - 19:05

score 141 · Answer 10 · 2020-06-06 22:18:49

141

Views

Equations of the orthogonal projection on the line $r = y - 2x + 1 = 0$

Published on 06 Jun 2020 - 22:18

score 297 · Answer 11 · 2020-06-07 11:15:56

297

Views

Affine function domain and range

Published on 07 Jun 2020 - 11:15

score 196 · Answer 12 · 2026-03-25 03:03:58

196

Views

How can I prove Van Aubel's theorem (for triangle) with the help of barycentric calculus(simple report)?

Published on 25 Mar 2026 - 3:03

score 408 · Answer 13 · 2020-06-14 02:57:08

408

Views

Every affine map is the sum of a linear transformation and a constant

Published on 14 Jun 2020 - 2:57

score 48 · Answer 14 · 2020-06-17 18:17:25

48

Views

What does this definition mean? (Affine Spaces)

Published on 17 Jun 2020 - 18:17

score 219 · Answer 15 · 2020-06-20 16:12:13

219

Views

Fourier Transform on affine spaces

Published on 20 Jun 2020 - 16:12

List Question

Prove that $f \circ f$ is homothety or a constant transformation

Prove that the affine transformation $f$ has at least one fixed point,

Prove that $id_{\vec{X}} + f’ + (f’)^{2}+\cdots+(f’)^{n}=0$, where $f:X\to X$ is the bijective affine transformation

Prove that $f = \alpha_1 f_1 + \cdots + \alpha_r f_r: X → Y, f(M) = \alpha_1 f_1(M) + · · · + \alpha_r f_r(M)$ is an affine transformation

Example for showing that an algebraic set is defined over the base field

Direct image sheaf under an open embedding

Reduce to its canonical form the conic $\Gamma:=x^2+4xy+4y^2+2x-4y$

Intersection of affine hyperplanes

Dimension of an affine space

Equations of the orthogonal projection on the line $r = y - 2x + 1 = 0$

Affine function domain and range

How can I prove Van Aubel's theorem (for triangle) with the help of barycentric calculus(simple report)?

Every affine map is the sum of a linear transformation and a constant

What does this definition mean? (Affine Spaces)

Fourier Transform on affine spaces

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