Eckhard Hitzer

[68] viXra:1705.0019 submitted on 2017-05-02 04:07:01, (20 unique-IP downloads)

Double Conformal Geometric Algebra (long CGI2016/GACSE2016 paper in SI of AACA)

Authors: Robert B. Easter, Eckhard Hitzer
Category: Algebra

[67] viXra:1701.0651 submitted on 2017-01-28 08:06:57, (41 unique-IP downloads)

Double Conformal Space-Time Algebra (ICNPAA 2016)

Authors: Robert B. Easter, Eckhard Hitzer
Category: Mathematical Physics

[66] viXra:1612.0221 submitted on 2016-12-12 03:18:52, (56 unique-IP downloads)

Conic and Cyclidic Sections in Double Conformal Geometric Algebra G_{8,2}

Authors: Robert Benjamin Easter, Eckhard Hitzer
Category: Algebra

[65] viXra:1610.0244 submitted on 2016-10-21 04:28:14, (25 unique-IP downloads)

Operator Exponentials for the Clifford Fourier Transform on Multivector Fields in Detail

Authors: David Eelbode, Eckhard Hitzer
Category: Functions and Analysis

[64] viXra:1604.0001 submitted on 2016-04-01 02:42:01, (77 unique-IP downloads)

General One-Sided Clifford Fourier Transform, and Convolution Products in the Spatial and Frequency Domains

Authors: Eckhard Hitzer
Category: Functions and Analysis

[63] viXra:1602.0044 submitted on 2016-02-04 07:36:02, (69 unique-IP downloads)

General Two-Sided Clifford Fourier Transform, Convolution and Mustard Convolution

Authors: Eckhard Hitzer
Category: Functions and Analysis

[62] viXra:1601.0283 replaced on 2017-02-16 01:16:45, (95 unique-IP downloads)

Space-Time Fourier Transform, Convolution and Mustard Convolution

Authors: Eckhard Hitzer
Category: Mathematical Physics

[61] viXra:1601.0165 replaced on 2016-01-23 08:13:42, (137 unique-IP downloads)

General Two-Sided Quaternion Fourier Transform, Convolution and Mustard Convolution

Authors: Eckhard Hitzer
Category: Functions and Analysis

[60] viXra:1511.0302 submitted on 2015-11-30 20:55:26, (85 unique-IP downloads)

The Quaternion Domain Fourier Transform and its Properties

Authors: Eckhard Hitzer
Category: Functions and Analysis

[59] viXra:1511.0301 submitted on 2015-11-30 21:26:08, (43 unique-IP downloads)

The True Riches of Japan: High Tech and Natural Energy Can Secure Japan's Peace and Prosperity, and Give a New Sustainable Peace and Prosperity Dimension to Its Overseas Development Aid

Authors: Eckhard Hitzer
Category: Social Science

[58] viXra:1411.0362 submitted on 2014-11-19 03:58:28, (130 unique-IP downloads)

The Orthogonal Planes Split of Quaternions and Its Relation to Quaternion Geometry of Rotations

Authors: Eckhard Hitzer
Category: Geometry

[57] viXra:1407.0169 submitted on 2014-07-21 15:55:09, (140 unique-IP downloads)

New Developments in Clifford Fourier Transforms

Authors: Eckhard Hitzer
Category: Functions and Analysis

[56] viXra:1403.0310 submitted on 2014-03-20 00:14:06, (230 unique-IP downloads)

Operator Exponentials for the Clifford Fourier Transform on Multivector Fields

Authors: David Eelbode, Eckhard Hitzer
Category: Functions and Analysis

[55] viXra:1310.0255 submitted on 2013-10-29 20:39:08, (373 unique-IP downloads)

Demystification of the Geometric Fourier Transforms

Authors: Roxana Bujack, Eckhard Hitzer, Gerik Scheuermann
Category: Functions and Analysis

[54] viXra:1310.0249 submitted on 2013-10-29 03:30:11, (354 unique-IP downloads)

Extending Fourier Transformations to Hamilton’s Quaternions and Clifford’s Geometric Algebras

Authors: Eckhard Hitzer
Category: Functions and Analysis

[53] viXra:1310.0248 submitted on 2013-10-29 03:33:41, (353 unique-IP downloads)

The Quest for Conformal Geometric Algebra Fourier Transformations

Authors: Eckhard Hitzer
Category: Functions and Analysis

[52] viXra:1309.0019 submitted on 2013-09-04 21:27:50, (196 unique-IP downloads)

Vector Field Computations in Clifford's Geometric Algebra

Authors: Eckhard Hitzer, Roxana Bujack, Gerik Scheuermann
Category: Algebra

[51] viXra:1306.0183 submitted on 2013-06-20 21:14:13, (154 unique-IP downloads)

Natural Science Education in Germany in 2012 after the 1999 European Bologna Reforms

Authors: Eckhard Hitzer
Category: Education and Didactics

[50] viXra:1306.0182 submitted on 2013-06-20 21:40:05, (103 unique-IP downloads)

The Bottom of Mathematics Education

Authors: Eckhard Hitzer
Category: Education and Didactics

[49] viXra:1306.0181 submitted on 2013-06-20 21:45:39, (99 unique-IP downloads)

New Ways for Physics Education

Authors: Eckhard Hitzer
Category: Education and Didactics

[48] viXra:1306.0178 submitted on 2013-06-21 04:43:19, (204 unique-IP downloads)

Axioms of Geometric Algebra

Authors: Eckhard Hitzer
Category: Algebra

[47] viXra:1306.0177 submitted on 2013-06-21 04:46:56, (108 unique-IP downloads)

Determinants in Geometric Algebra

Authors: Eckhard Hitzer
Category: Algebra

[46] viXra:1306.0176 submitted on 2013-06-21 04:49:53, (143 unique-IP downloads)

Gram-Schmidt Orthogonalization in Geometric Algebra

Authors: Eckhard Hitzer
Category: Algebra

[45] viXra:1306.0175 submitted on 2013-06-21 04:54:51, (312 unique-IP downloads)

The Geometric Product and Derived Products

Authors: Eckhard Hitzer
Category: Algebra

[44] viXra:1306.0174 submitted on 2013-06-21 04:59:20, (80 unique-IP downloads)

The Use of Quadratic Forms in Geometric Algebra

Authors: Eckhard Hitzer
Category: Algebra

[43] viXra:1306.0173 submitted on 2013-06-21 05:03:08, (264 unique-IP downloads)

What is an Imaginary Number?

Authors: Eckhard Hitzer
Category: Algebra

[42] viXra:1306.0172 submitted on 2013-06-20 05:27:01, (129 unique-IP downloads)

Crystal Cell and Space Lattice Symmetries in Clifford Geometric Algebra

Authors: Eckhard Hitzer, Christian Perwass
Category: Condensed Matter

[41] viXra:1306.0158 submitted on 2013-06-18 22:51:41, (122 unique-IP downloads)

Interactive 3D Space Group Visualization with CLUCalc and the Clifford Geometric Algebra Description of Space Groups

Authors: Eckhard Hitzer, Christian Perwass
Category: Condensed Matter

[40] viXra:1306.0156 submitted on 2013-06-19 01:42:14, (591 unique-IP downloads)

Interactive 3D Space Group Visualization with CLUCalc and Crystallographic Subperiodic Groups in Geometric Algebra

Authors: Eckhard Hitzer, Christian Perwass, Daisuke Ichikawa
Category: Condensed Matter

[39] viXra:1306.0155 submitted on 2013-06-19 01:52:08, (161 unique-IP downloads)

Visualization of Fundamental Symmetries in Nature

Authors: Eckhard Hitzer, Christian Perwass
Category: Geometry

[38] viXra:1306.0154 submitted on 2013-06-19 02:06:08, (60 unique-IP downloads)

Crystallographic Space Groups: Representation and Interactive Visualization by Geometric Algebra

Authors: Eckhard Hitzer, Christian Perwass
Category: Condensed Matter

[37] viXra:1306.0153 submitted on 2013-06-19 02:44:44, (297 unique-IP downloads)

The Hidden Beauty of Gold

Authors: Eckhard Hitzer, Christian Perwass
Category: Condensed Matter

[36] viXra:1306.0152 submitted on 2013-06-19 02:52:40, (261 unique-IP downloads)

The Space Group Visualizer

Authors: Eckhard Hitzer, Christian Perwass
Category: Condensed Matter

[35] viXra:1306.0151 submitted on 2013-06-19 02:58:51, (151 unique-IP downloads)

Space Group Visualizer for Monoclinic Space Groups

Authors: Eckhard Hitzer, Christian Perwass
Category: Condensed Matter

[34] viXra:1306.0150 submitted on 2013-06-19 03:03:40, (248 unique-IP downloads)

Three Vector Generation of Crystal Space Groups in Geometric Algebra

Authors: Eckhard Hitzer, Christian Perwass
Category: Algebra

[33] viXra:1306.0149 submitted on 2013-06-19 03:38:52, (110 unique-IP downloads)

Interactive Visualization of Full Geometric Description of Crystal Space Groups

Authors: Christian Perwass, Eckhard Hitzer
Category: Condensed Matter

[32] viXra:1306.0148 submitted on 2013-06-19 03:45:12, (360 unique-IP downloads)

Full Geometric Description of All Symmetry Elements of Crystal Space Groups by the Suitable Choice of Only Three Vectors for Each Bravais Cell or Crystal Family

Authors: Eckhard Hitzer, Christian Perwass
Category: Condensed Matter

[31] viXra:1306.0146 submitted on 2013-06-19 03:49:27, (67 unique-IP downloads)

Crystal Cells in Geometric Algebra

Authors: Eckhard Hitzer, Christian Perwass
Category: Condensed Matter

[30] viXra:1306.0145 submitted on 2013-06-19 03:58:59, (86 unique-IP downloads)

Algorithm for Conversion Between Geometric Algebra Versor Notation and Conventional Crystallographic Symmetry-Operation Symbols

Authors: Eckhard Hitzer, Christian Perwass
Category: Condensed Matter

[29] viXra:1306.0135 submitted on 2013-06-17 05:02:34, (165 unique-IP downloads)

Interactive Visualization of Plane Space Groups with the Space Group Visualizer

Authors: Eckhard Hitzer
Category: Condensed Matter

[28] viXra:1306.0134 submitted on 2013-06-17 05:10:48, (245 unique-IP downloads)

Tutorial on Reflections in Geometric Algebra

Authors: Eckhard Hitzer
Category: Geometry

[27] viXra:1306.0133 submitted on 2013-06-17 05:21:04, (442 unique-IP downloads)

Tutorial on Fourier Transformations and Wavelet Transformations in Cliord Geometric Algebra

Authors: Eckhard Hitzer
Category: Functions and Analysis

[26] viXra:1306.0130 submitted on 2013-06-17 01:29:18, (334 unique-IP downloads)

The Clifford Fourier Transform in Real Clifford Algebras

Authors: Eckhard Hitzer
Category: Functions and Analysis

[25] viXra:1306.0129 submitted on 2013-06-17 01:41:53, (194 unique-IP downloads)

Interactive Visualization of Plane Groups

Authors: Eckhard Hitzer
Category: Condensed Matter

[24] viXra:1306.0128 submitted on 2013-06-17 01:49:37, (103 unique-IP downloads)

Analysis of Point Clouds Using Conformal Geometric Algebra

Authors: Dietmar Hildenbrand, Eckhard Hitzer
Category: Data Structures and Algorithms

[23] viXra:1306.0127 submitted on 2013-06-17 01:59:58, (85 unique-IP downloads)

Clifford Fourier Transform on Multivector Fields and Uncertainty Principles for Dimensions N = 2 (Mod 4) and N = 3 (Mod 4)

Authors: Eckhard Hitzer, Bahri Mawardi
Category: Functions and Analysis

[22] viXra:1306.0126 submitted on 2013-06-17 02:09:49, (99 unique-IP downloads)

Uncertainty Principle for Clifford Geometric Algebras Cl(n,0), N = 3 (Mod 4) Based on Clifford Fourier Transform

Authors: Eckhard Hitzer, Bahri Mawardi
Category: Functions and Analysis

[21] viXra:1306.0125 submitted on 2013-06-17 02:20:49, (165 unique-IP downloads)

Geometric Algebra Illustrated by Cinderella

Authors: Eckhard Hitzer, Luca Redaelli
Category: Algebra

[20] viXra:1306.0124 submitted on 2013-06-17 02:53:25, (277 unique-IP downloads)

Basic Multivector Calculus

Authors: Eckhard Hitzer
Category: Functions and Analysis

[19] viXra:1306.0123 submitted on 2013-06-17 03:00:32, (245 unique-IP downloads)

Symmetry of Orthorhombic Materials and Interactive 3D Visualization in Geometric Algebra

Authors: Daisuke Ichikawa, Eckhard Hitzer
Category: Condensed Matter

[18] viXra:1306.0122 submitted on 2013-06-17 03:06:17, (202 unique-IP downloads)

Foundations of Multidimensional Wavelet Theory: The Quaternion Fourier Transform and its Generalizations

Authors: Eckhard Hitzer
Category: Functions and Analysis

[17] viXra:1306.0121 submitted on 2013-06-17 03:12:32, (1201 unique-IP downloads)

Relativistic Physics as Application of Geometric Algebra

Authors: Eckhard Hitzer
Category: Relativity and Cosmology

[16] viXra:1306.0120 submitted on 2013-06-17 03:19:30, (206 unique-IP downloads)

The GeometricAlgebra Java Package – Novel Structure Implementation of 5D Geometric Algebra R_4,1 for Object Oriented Euclidean Geometry, Space-Time Physics and Object Oriented Computer Algebra

Authors: Eckhard Hitzer, Ginanjar Utama
Category: Data Structures and Algorithms

[15] viXra:1306.0119 submitted on 2013-06-17 03:27:06, (211 unique-IP downloads)

Learning about Conic Sections with Geometric Algebra and Cinderella

Authors: Eckhard Hitzer
Category: Geometry

[14] viXra:1306.0118 submitted on 2013-06-17 03:33:05, (479 unique-IP downloads)

Conic Sections Through Five Points Classical, Projective, Conformal

Authors: Eckhard Hitzer
Category: Geometry

[13] viXra:1306.0117 submitted on 2013-06-17 03:56:01, (834 unique-IP downloads)

Geometric Calculus – Engineering Mathematics for the 21st Century

Authors: Eckhard Hitzer
Category: Functions and Analysis

[12] viXra:1306.0116 submitted on 2013-06-17 04:00:42, (170 unique-IP downloads)

Vector Differential Calculus

Authors: Eckhard Hitzer
Category: Functions and Analysis

[11] viXra:1306.0115 submitted on 2013-06-17 04:05:54, (145 unique-IP downloads)

Play with Geometry - Animated and Interactive, Free, Instant Access, Online Geometric Algebra Java Applets

Authors: Eckhard Hitzer, Luca Redaelli
Category: Geometry

[10] viXra:1306.0114 submitted on 2013-06-17 04:13:56, (280 unique-IP downloads)

Geometric Calculus for Engineers

Authors: Eckhard Hitzer
Category: Functions and Analysis

[9] viXra:1306.0113 submitted on 2013-06-17 04:25:16, (916 unique-IP downloads)

A Real Explanation for Imaginary Eigenvalues and Complex Eigenvectors

Authors: Eckhard Hitzer
Category: Algebra

[8] viXra:1306.0112 submitted on 2013-06-17 04:30:00, (243 unique-IP downloads)

Antisymmetric Matrices are Real Bivectors

Authors: Eckhard Hitzer
Category: Algebra

[7] viXra:1306.0111 submitted on 2013-06-17 04:35:04, (273 unique-IP downloads)

Early Works on the Hagen-Poiseuille Flow

Authors: Eckhard Hitzer
Category: Classical Physics

[6] viXra:1306.0110 submitted on 2013-06-17 04:42:40, (127 unique-IP downloads)

Classical and Semi-Classical Optics with MAPLE: Investigating a Two-dimensional Light Ray Geometry

Authors: Eckhard Hitzer
Category: Classical Physics

[5] viXra:1306.0095 submitted on 2013-06-14 03:21:42, (251 unique-IP downloads)

Clifford Algebra Cl(3,0)-valued Wavelets and Uncertainty Inequality for Clifford Gabor Wavelet Transformation

Authors: Mawardi Bahri, Eckhard Hitzer
Category: Functions and Analysis

[4] viXra:1306.0094 submitted on 2013-06-14 03:35:04, (59 unique-IP downloads)

Clifford Algebra Cl(3,0)-valued Wavelet Transformation, Clifford Wavelet Uncertainty Inequality and Clifford Gabor Wavelets

Authors: Mawardi Bahri, Eckhard Hitzer
Category: Functions and Analysis

[3] viXra:1306.0092 submitted on 2013-06-14 04:25:26, (104 unique-IP downloads)

Two-Dimensional Clifford Windowed Fourier Transform

Authors: Mawardi Bahri, Eckhard Hitzer, Sriwulan Adji
Category: Functions and Analysis

[2] viXra:1306.0091 submitted on 2013-06-14 04:35:57, (500 unique-IP downloads)

An Uncertainty Principle for Quaternion Fourier Transform

Authors: Mawardi Bahri, Eckhard Hitzer, Akihisa Hayashi, Ryuichi Ashino
Category: Functions and Analysis

[1] viXra:1306.0089 submitted on 2013-06-14 04:44:58, (92 unique-IP downloads)

Clifford Fourier Transformation and Uncertainty Principle for the Clifford Geometric Algebra Cl(3,0)

Authors: Bahri Mawardi, Eckhard Hitzer
Category: Functions and Analysis