Question

What is the "taxonomy" or "hierarchy" (partial ordering) of algebraic objects used to attempt to capture geometric intuition?

score 902 · Answer 1 · 2016-06-25 04:33:58

902

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What is the "taxonomy" or "hierarchy" (partial ordering) of algebraic objects used to attempt to capture geometric intuition?

Published on 25 Jun 2016 - 4:33

score 2.5k · Answer 2 · 2016-06-26 17:11:22

2.5k

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Which concepts in Differential Geometry can NOT be represented using Geometric Algebra?

Published on 26 Jun 2016 - 17:11

score 95 · Answer 3 · 2013-06-16 15:11:36

95

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Derivation of rotation formula in $ \mathbb R^3 $

Published on 16 Jun 2013 - 15:11

score 1.7k · Answer 4 · 2013-06-21 10:01:05

1.7k

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What is the "grade" in geometric algebra

Published on 21 Jun 2013 - 10:01

score 246 · Answer 5 · 2013-06-23 10:20:32

246

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Show that $ \mathbf u^2 \mathbf v^2 = (\mathbf u \cdot \mathbf v)^2 - (\mathbf u \wedge \mathbf v)^2 $

Published on 23 Jun 2013 - 10:20

score 70 · Answer 6 · 2013-06-23 20:31:09

70

Views

Show that $ B \mathbf I = (-1)^{k(n-1)}\mathbf I B $

Published on 23 Jun 2013 - 20:31

score 632 · Answer 7 · 2013-06-30 19:13:13

632

Views

Vector in the line of intersection of two planes

Published on 30 Jun 2013 - 19:13

score 140 · Answer 8 · 2013-07-01 19:46:15

140

Views

Multivectors which commute with every vector in $ \mathbb G^n $

Published on 01 Jul 2013 - 19:46

score 937 · Answer 9 · 2013-07-10 22:37:54

937

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index free proof of dot product of two wedge products

Published on 10 Jul 2013 - 22:37

score 1.8k · Answer 10 · 2013-07-14 16:36:38

1.8k

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What's the motivation to add inner product and wedge product together in geometric product

Published on 14 Jul 2013 - 16:36

score 3.9k · Answer 11 · 2013-07-14 18:41:10

3.9k

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Calculating the inverse of a multivector

Published on 14 Jul 2013 - 18:41

score 147 · Answer 12 · 2013-07-14 20:50:37

147

Views

Rotor Identity $ \frac{1+ba}{|a+b|} = e^{-B\theta /2} $

Published on 14 Jul 2013 - 20:50

score 8.2k · Answer 13 · 2013-07-16 12:43:18

8.2k

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Looking for a clear definition of the geometric product

Published on 16 Jul 2013 - 12:43

score 2.7k · Answer 14 · 2013-08-15 19:50:43

2.7k

Views

In Geometric Algebra, is there a geometric product between matrices?

Published on 15 Aug 2013 - 19:50

score 1k · Answer 15 · 2013-08-22 20:47:58

1k

Views

Within Geometric Algebra, is there a way to express a linear operator within the language of geometric algebra?

Published on 22 Aug 2013 - 20:47

List Question

What is the "taxonomy" or "hierarchy" (partial ordering) of algebraic objects used to attempt to capture geometric intuition?

Which concepts in Differential Geometry can NOT be represented using Geometric Algebra?

Derivation of rotation formula in $ \mathbb R^3 $

What is the "grade" in geometric algebra

Show that $ \mathbf u^2 \mathbf v^2 = (\mathbf u \cdot \mathbf v)^2 - (\mathbf u \wedge \mathbf v)^2 $

Show that $ B \mathbf I = (-1)^{k(n-1)}\mathbf I B $

Vector in the line of intersection of two planes

Multivectors which commute with every vector in $ \mathbb G^n $

index free proof of dot product of two wedge products

What's the motivation to add inner product and wedge product together in geometric product

Calculating the inverse of a multivector

Rotor Identity $ \frac{1+ba}{|a+b|} = e^{-B\theta /2} $

Looking for a clear definition of the geometric product

In Geometric Algebra, is there a geometric product between matrices?

Within Geometric Algebra, is there a way to express a linear operator within the language of geometric algebra?

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