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Grassmann Algebra Exploring applica
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TableOfContents.nb 2 1.7 Exploring
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TableOfContents.nb 4 3.5 The Common
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TableOfContents.nb 6 5.2 Axioms for
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TableOfContents.nb 8 6.7 The Induce
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TableOfContents.nb 10 9 Exploring G
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Preface The origins of this book Th
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Preface.nb 3 Chapters 7 to 13: Expl
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1. Introduction 1.1 Background The
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Introduction.nb 3 the scientific wo
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Introduction.nb 5 A plane can be re
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Introduction.nb 7 We see here also
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Introduction.nb 9 �a�Α m �
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Introduction.nb 11 ¥ Scalars facto
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Introduction.nb 13 Here Det[x,y,v]
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Introduction.nb 15 Lines and planes
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Introduction.nb 17 Graphic showing
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Introduction.nb 19 x � ae1 � be
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Introduction.nb 21 Calculating inte
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Introduction.nb 23 1.11 Exploring H
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TheExteriorProduct.nb 2 � Calcula
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TheExteriorProduct.nb 4 This may be
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- Page 57 and 58: TheExteriorProduct.nb 18 BasisTable
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GeometricInterpretations.nb 25 L
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GeometricInterpretations.nb 27 Alte
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GeometricInterpretations.nb 29 �
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GeometricInterpretations.nb 31 L
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GeometricInterpretations.nb 33 P1
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TheComplement.nb 2 � Converting t
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TheComplement.nb 4 5.2 Axioms for t
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TheComplement.nb 6 essential underp
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TheComplement.nb 8 �����
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TheComplement.nb 10 Basis elements
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TheComplement.nb 12 ei m ���
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TheComplement.nb 14 Relating exteri
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TheComplement.nb 16 �����
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TheComplement.nb 18 The default met
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TheComplement.nb 20 �3; DeclareMe
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TheComplement.nb 22 We can transfor
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TheComplement.nb 24 2 2 2 ��1,3
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TheComplement.nb 26 � Simplifying
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TheComplement.nb 28 ComplementTable
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TheComplement.nb 30 �����
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TheComplement.nb 32 hence can be fa
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TheComplement.nb 34 �����
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TheComplement.nb 36 �����
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TheComplement.nb 38 ei m The comple
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TheComplement.nb 40 e i ���
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TheComplement.nb 42 Α m �Α1 �
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TheInteriorProduct.nb 2 6.9 The Cro
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TheInteriorProduct.nb 4 An alternat
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TheInteriorProduct.nb 6 ���
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TheInteriorProduct.nb 8 ToScalarPro
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TheInteriorProduct.nb 10 ���
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TheInteriorProduct.nb 12 ���
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TheInteriorProduct.nb 14 InteriorCo
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TheInteriorProduct.nb 16 Thus Α 3
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TheInteriorProduct.nb 18 Det�Deve
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TheInteriorProduct.nb 20 If Α is e
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TheInteriorProduct.nb 22 Measure�
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TheInteriorProduct.nb 24 The measur
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TheInteriorProduct.nb 26 6.7 The In
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TheInteriorProduct.nb 28 ���
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TheInteriorProduct.nb 30 Interior p
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TheInteriorProduct.nb 32 �Α m
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TheInteriorProduct.nb 34 Implicatio
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TheInteriorProduct.nb 36 Α m �
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TheInteriorProduct.nb 38 Or, more s
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TheInteriorProduct.nb 40 � ��
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TheInteriorProduct.nb 42 � The an
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TheInteriorProduct.nb 44 6.15 Histo
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ExploringScrewAlgebra.nb 2 The obje
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ExploringScrewAlgebra.nb 4 so that
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ExploringScrewAlgebra.nb 6 The comp
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ExploringScrewAlgebra.nb 8 S ��
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8 Exploring Mechanics 8.1 Introduct
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ExploringMechanics.nb 3 every 'line
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ExploringMechanics.nb 5 � � P
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ExploringMechanics.nb 7 8.3 Momentu
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ExploringMechanics.nb 9 The bound v
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ExploringMechanics.nb 11 8.4 Newton
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ExploringMechanics.nb 13 8.7 The Ve
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ExploringGrassmannAlgebra.nb 2 �
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ExploringGrassmannAlgebra.nb 4 Decl
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ExploringGrassmannAlgebra.nb 6 �3
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ExploringGrassmannAlgebra.nb 8 �
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ExploringGrassmannAlgebra.nb 10 �
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ExploringGrassmannAlgebra.nb 12 Ξ0
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ExploringGrassmannAlgebra.nb 14 �
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ExploringGrassmannAlgebra.nb 16 How
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ExploringGrassmannAlgebra.nb 18 �
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ExploringGrassmannAlgebra.nb 20 �
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ExploringGrassmannAlgebra.nb 22 Inv
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ExploringGrassmannAlgebra.nb 24 Ver
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ExploringGrassmannAlgebra.nb 26 The
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ExploringGrassmannAlgebra.nb 28 ? G
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ExploringGrassmannAlgebra.nb 30 S
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ExploringGrassmannAlgebra.nb 32 Div
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ExploringGrassmannAlgebra.nb 34 ? G
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ExploringGrassmannAlgebra.nb 36 9.9
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ExploringGrassmannAlgebra.nb 40 Log
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ExploringGrassmannAlgebra.nb 42 Gra
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10 Exploring the Generalized Grassm
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ExpTheGeneralizedProduct.nb 3 For b
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ExpTheGeneralizedProduct.nb 5 Α m
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ExpTheGeneralizedProduct.nb 7 It is
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ExpTheGeneralizedProduct.nb 9 To ex
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ExpTheGeneralizedProduct.nb 11 Exam
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ExpTheGeneralizedProduct.nb 13 B1
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ExpTheGeneralizedProduct.nb 15 B1
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ExpTheGeneralizedProduct.nb 17 1�
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ExpTheGeneralizedProduct.nb 19 ToIn
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ExpTheGeneralizedProduct.nb 21 We c
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ExpTheGeneralizedProduct.nb 23 10.9
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ExpTheGeneralizedProduct.nb 25 �
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ExpTheGeneralizedProduct.nb 27 B
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ExpTheGeneralizedProduct.nb 33 The
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ExpTheGeneralizedProduct.nb 35 Flat
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ExpTheGeneralizedProduct.nb 37 Prod
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11 Exploring Hypercomplex Algebra 1
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ExploringHypercomplexAlgebra.nb 3 W
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ExploringHypercomplexAlgebra.nb 5
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ExploringHypercomplexAlgebra.nb 7 p
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12 Exploring Clifford Algebra 12.1
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ExploringCliffordAlgebra.nb 3 12.17
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ExploringCliffordAlgebra.nb 5 � T
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ExploringCliffordAlgebra.nb 7 � C
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ExploringCliffordAlgebra.nb 11 The
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ExploringCliffordAlgebra.nb 33 Or,
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ExploringCliffordAlgebra.nb 39 C2
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ExploringCliffordAlgebra.nb 45 C5
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ExploringCliffordAlgebra.nb 53 2001
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ExplorGrassmannMatrixAlgebra.nb 2 1
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ExplorGrassmannMatrixAlgebra.nb 4 X
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ExplorGrassmannMatrixAlgebra.nb 8 A
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A Brief Biography of Grassmann Herm
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ABriefBiographyOfGrassmann.nb 3 I h
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Declarations �n �n declare a li
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Glossary To be completed. Ausdehnun
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Glossary.nb 3 Grade The grade of an
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Glossary.nb 5 Physical entities Poi
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Bibliography To be completed Armstr
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Bibliography2.nb 3 Clifford W K 187
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Bibliography2.nb 5 quaternions and