Question

Can the scalar product of the geometric algebra be defined without a determinant？

score 60 · Answer 1 · 2024-01-10 16:36:25

60

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Can the scalar product of the geometric algebra be defined without a determinant？

Published on 10 Jan 2024 - 16:36

score 221 · Answer 2 · 2024-02-04 03:05:02

221

Views

Fundamental complex number formula kept secret?

Published on 04 Feb 2024 - 3:05

score 30 · Answer 3 · 2024-02-12 13:34:33

30

Views

Is there a single term that generalizes the names of the individual vector and scalar types in a multivector?

Published on 12 Feb 2024 - 13:34

score 55 · Answer 4 · 2024-02-16 01:42:37

55

Views

Interior, cross and outer products between two multivectors?

Published on 16 Feb 2024 - 1:42

score 31 · Answer 5 · 2024-02-20 16:00:54

31

Views

How to get scalar product from geometric product in Geometric Algebra?

Published on 20 Feb 2024 - 16:00

score 81 · Answer 6 · 2024-02-20 23:58:48

81

Views

Geometric Algebra: No other point groups besides $H_p$ and $C_p$ in two dimensions

Published on 20 Feb 2024 - 23:58

score 94 · Answer 7 · 2024-02-21 15:17:06

How to obtain $(a \cdot b)^2 - (a \land b)^2 = a^2b^2$ and why $(a \land b)=|a||b||\sin(\phi)|$ if $(a \land b)^2=-|a|^2|b|^2\sin^2(\phi)$? (GA)

score 73 · Answer 8 · 2024-02-23 12:55:22

73

Views

Why is the inner product of two simple vectors simple? (Geometric algebra)

Published on 23 Feb 2024 - 12:55

score 56 · Answer 9 · 2024-02-25 20:44:13

56

Views

Show that $\partial x^2 = 2P(x)$ and $\partial \wedge x = 0$ (Geometric algebra)

Published on 25 Feb 2024 - 20:44

score 56 · Answer 10 · 2024-02-26 13:39:04

56

Views

Prove that $\partial x = \partial \cdot x = n$ (Geometric algebra)

Published on 26 Feb 2024 - 13:39

score 25 · Answer 11 · 2024-02-26 14:32:46

If $A = P(A) = \langle A\rangle_r$, why is $\dot \partial (\dot x \cdot A) = A\cdot \partial x$ (Geometric algebra)

score 76 · Answer 12 · 2024-02-28 01:09:46

76

Views

What is the relation of the metric matrix with the signature of a Geometric Algebra?

Published on 28 Feb 2024 - 1:09

score 38 · Answer 13 · 2024-03-17 22:27:44

38

Views

Trying to prove Euler's formula in 3D Geometric Algebra (Clifford algebra)

Published on 17 Mar 2024 - 22:27

score 66 · Answer 14 · 2024-03-19 20:08:36

66

Views

In geometric algebra, what is the dot product of a vector and a scalar? what is the wedge product of a vector and a scalar?

Published on 19 Mar 2024 - 20:08

score 53 · Answer 15 · 2024-03-23 00:31:09

53

Views

Problems in understanding exercise 2.2. from Chris Doran "Geometric Algebra for physicists"

Published on 23 Mar 2024 - 0:31

List Question

Can the scalar product of the geometric algebra be defined without a determinant？

Fundamental complex number formula kept secret?

Is there a single term that generalizes the names of the individual vector and scalar types in a multivector?

Interior, cross and outer products between two multivectors?

How to get scalar product from geometric product in Geometric Algebra?

Geometric Algebra: No other point groups besides $H_p$ and $C_p$ in two dimensions

How to obtain $(a \cdot b)^2 - (a \land b)^2 = a^2b^2$ and why $(a \land b)=|a||b||\sin(\phi)|$ if $(a \land b)^2=-|a|^2|b|^2\sin^2(\phi)$? (GA)

Why is the inner product of two simple vectors simple? (Geometric algebra)

Show that $\partial x^2 = 2P(x)$ and $\partial \wedge x = 0$ (Geometric algebra)

Prove that $\partial x = \partial \cdot x = n$ (Geometric algebra)

If $A = P(A) = \langle A\rangle_r$, why is $\dot \partial (\dot x \cdot A) = A\cdot \partial x$ (Geometric algebra)

What is the relation of the metric matrix with the signature of a Geometric Algebra?

Trying to prove Euler's formula in 3D Geometric Algebra (Clifford algebra)

In geometric algebra, what is the dot product of a vector and a scalar? what is the wedge product of a vector and a scalar?

Problems in understanding exercise 2.2. from Chris Doran "Geometric Algebra for physicists"

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