Question

Prove that the map $f(z)=\frac{1}{z}$ sends any line onto either a line or a circle.

score 4.6k · Answer 1 · 2015-03-29 23:01:50

4.6k

Views

Prove that the map $f(z)=\frac{1}{z}$ sends any line onto either a line or a circle.

Published on 29 Mar 2015 - 23:01

score 84 · Answer 2 · 2015-03-29 23:57:53

84

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Find the image of the unit vector at the point $z_0=i$ under the function $f(z)=z^2+2z$

Published on 29 Mar 2015 - 23:57

score 496 · Answer 3 · 2015-03-31 22:52:11

496

Views

Transforming a function by a sequence geometric operations on its graph.

Published on 31 Mar 2015 - 22:52

score 131 · Answer 4 · 2015-04-01 04:59:47

131

Views

How principal component analysis ensures component orthogonality when using zero co-variance as the restriction to maximize variance?

Published on 01 Apr 2015 - 4:59

score 367 · Answer 5 · 2015-04-02 08:54:15

367

Views

Transformation that f(A+B)=f(A)+f(B) and f(AB) = f(A)f(B)

Published on 02 Apr 2015 - 8:54

score 259 · Answer 6 · 2026-04-01 02:58:57

259

Views

The Composition of Two rotations

Published on 01 Apr 2026 - 2:58

score 38 · Answer 7 · 2015-04-03 15:33:49

38

Views

mobius transformation form $M= B(0,1)\setminus\overline{B(1,\sqrt2)}$ to a sector.

Published on 03 Apr 2015 - 15:33

score 33 · Answer 8 · 2015-04-06 23:37:19

33

Views

Terminology with linear transformation

Published on 06 Apr 2015 - 23:37

score 172 · Answer 9 · 2015-04-07 02:49:39

172

Views

Is the transformation $T: (r, \theta) \to (r, \theta + \phi)$ linear? Here $\phi$ is a given angle

Published on 07 Apr 2015 - 2:49

score 2.5k · Answer 10 · 2026-03-26 04:48:25

2.5k

Views

How to transform function values to specific interval

Published on 26 Mar 2026 - 4:48

score 999 · Answer 11 · 2026-03-25 19:00:36

999

Views

Why cannot the homogeneous coodinates be zero?

Published on 25 Mar 2026 - 19:00

score 970 · Answer 12 · 2026-04-01 20:23:44

970

Views

How can I transform coordinate systems based on quaternion data?

Published on 01 Apr 2026 - 20:23

score 68 · Answer 13 · 2015-04-11 12:39:59

68

Views

generating system of the kernel of a module-transformation

Published on 11 Apr 2015 - 12:39

score 1.3k · Answer 14 · 2015-04-14 16:32:16

1.3k

Views

Solids of Revolution around other functions.

Published on 14 Apr 2015 - 16:32

score 429 · Answer 15 · 2026-03-26 12:37:47

429

Views

Let $R$ be any rotation and $P$ any reflection then $R \circ P$ and $P \circ R$ are both glide reflections

Published on 26 Mar 2026 - 12:37

List Question

Prove that the map $f(z)=\frac{1}{z}$ sends any line onto either a line or a circle.

Find the image of the unit vector at the point $z_0=i$ under the function $f(z)=z^2+2z$

Transforming a function by a sequence geometric operations on its graph.

How principal component analysis ensures component orthogonality when using zero co-variance as the restriction to maximize variance?

Transformation that f(A+B)=f(A)+f(B) and f(AB) = f(A)f(B)

The Composition of Two rotations

mobius transformation form $M= B(0,1)\setminus\overline{B(1,\sqrt2)}$ to a sector.

Terminology with linear transformation

Is the transformation $T: (r, \theta) \to (r, \theta + \phi)$ linear? Here $\phi$ is a given angle

How to transform function values to specific interval

Why cannot the homogeneous coodinates be zero?

How can I transform coordinate systems based on quaternion data?

generating system of the kernel of a module-transformation

Solids of Revolution around other functions.

Let $R$ be any rotation and $P$ any reflection then $R \circ P$ and $P \circ R$ are both glide reflections

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