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Limits of overdot notation in geometric algebra

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#geometric-algebras
141
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what is the geometry picture of Riemann tensor identity $R(X\wedge Y,V\wedge W) = R(V\wedge W, X\wedge Y)$

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#differential-geometry #riemannian-geometry #curvature #general-relativity #geometric-algebras
74
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If $A^iB_i$ is called a contraction, what is $A^{ij}B_{ij}$ called?

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#reference-request #tensors #geometric-algebras
751
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Visualizing the area described by the dot product?

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#geometry #vectors #area #geometric-algebras
261
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Intuition for orientation of tri-vectors in geometric algebra

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#geometry #vectors #geometric-algebras
161
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Exponential Sine Identity in Geometric Algebra

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#geometric-algebras
190
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Deriving reduction formula in Geometric Algebra

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#clifford-algebras #geometric-algebras
90
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Given $\textbf{a}\perp\textbf{b}$, $\textbf{a}\cdot(\textbf{a}\wedge\textbf{b})=\mid \textbf{a}\mid^{2} \textbf{b}$ (geometric algebra)

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#geometric-algebras
513
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How to compute if a multivector inverse exists in Clifford Algebra

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#clifford-algebras #geometric-algebras
101
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Clifford algebra of a non-diagonal quadratic form over rings

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#number-theory #ring-theory #clifford-algebras #geometric-algebras
373
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Write a bivector as the exterior product of two vectors

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#linear-algebra #exterior-algebra #clifford-algebras #geometric-algebras #outer-product
1.8k
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Intuition for geometric product being dot + wedge product

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#geometric-algebras
49
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Converting $p(\theta,t)=e^{a\wedge c\theta}(a+be^{a\wedge bt})e^{-a\wedge c\theta}$ from geometric to vector algebra

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#geometric-algebras
861
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Inner product structure on geometric algebra?

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#abstract-algebra #multilinear-algebra #clifford-algebras #geometric-algebras
1.4k
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The commutator product as a replacement for the cross and wedge product in geometric algebra?

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#vectors #cross-product #clifford-algebras #geometric-algebras

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