back
german



Google translation with corrections, Google translates "interference" sometimes with "disturbance", here we need the physical meaning as "overlay of time functions".

Note, that all chapters are printed as PDFs in german! To translate them to english or into your language, please ask Google: "How to translate a PDF-document?" The reason that I up to now can not upload any automated PDF-translation is the destruction of formulas and vector-images.

Table of contents

Heinz, G.: Neural Interferences
Author equals publisher.
Personal distribution, 1993, 301 p.


0 Foreword 13
1 Introduction 20
Aristoteles, Bruno, Descartes 20
In Search of the Engram 21
Jeffress delay model 1948 22
Noise reduction and channel number 25
Race circuits, space-time duality 27
The concept of interference 28
One-dimensional neural map 30
Bit sequences and time functions 32
Discretized convolution (in half grid) 32
Interference product as a convolution integral 33
Discrete interference product at any angle 34
Continuous interference product at any angle 35
Matrix-Notation 35
Interference nets 36
Mesh-algorithm 36
Genetic code volume 37
Network Types 40
The current neuron doctrine 41
2a Wave propagation 42
Self-interference projection 42
Matrix descriptions of firing pixels 43
Channel vector 44
Pixel mask (pixel vector, interference vector) 45
Channel matrix 47
Example: image convolution into channel space 48
Interference location, difference vector 50
Diffraction 52
Self-interference of a pulse 52
Cross interference (coherence of pulse trains) 53
General phase condition; Coherence 54
Plane projection 55
2b Continuous wave propagation 57
Spherical opening 57
Isotropic curvature with orthogonal front direction 57
Isotropic buckling 58
Parallel guides 60
Articulated rod models 61
Wave propagation at boundaries 62
Perpendicular refraction 63
Perpendicular reflection 63
Symmetrical (optical) reflection 64
Orthogonal reflection and orthogonal refraction 64
Prismatic orthogonal refraction 66
Total reflection 66
Free reflection 67
Free refraction 68
3 Projections without change in refractive index 70
Orthogonal Matrix 70
Elliptical projection 73
Superposition of concentric maps 74
Elliptic inversion 74
Hyperbolic projection 76
Hyperbolic inversion 79
Parabolic projection 80
Combination body 82
Spherical projection 82
Surface projection 83
Projection on the spherical surface 83
Projection on arbitrarily curved surfaces (thread construction) 84
Evolute and involute 84
Conformal mapping, existence theorem 85
4 Projections with refractive index change 87
Movement 87
Zoom 89
Potential control of the interference location (interference adjustment) 90
Delay lenses 91
Focal lengths in the off-axis space 92
Back focal lengths in the space away from the axis 93
Calculation in paraxial space, convex lens 94
Calculation in paraxial space, concave lens 96
Curved meridians of different propagation speeds 97
5 Special Projections 98
Wandering interference location 98
burst generation, underdetermined projection 99
Phase detection by bursts 99
Compositional projections 100
Dimensional change, permutation, partial mapping 100
Permutatory projection 101
Interleaving of pulse sequences,
Channel congestion due to cross interference
102
Overlay projection (conjugate p.) 104
Axial conjugate 105
Radial conjugate 105
Permutation & Conjugation 106
Projection of non-morphological maps 107
Storage of channel information 107
Hierarchy formation 109
Feature Extraction 111
Edge detection 111
Tree interference 112
Tree-like hierarchy 113
Areas of action on neuron 114
Detection of geometries 115
Cross interference projections 116
Classification of tutographic projections 117
Multiple cross-interference 118
Code referenced location and vice versa 119
Radial (hyperbolic) location code reference 120
Canonical time allocation 121
Code dependent threshold 123
Mirroring at variable delays 123
Intermedial projections 124
Transit time difference to two receivers 126
6 Delay lines 128
Resolving potential of nerves 128
Technical replicas 129
Stretching experiment on the thumb
Thumb experiment
130
Analysis of receiving sites of high entropy 132
Spinal cord excitation model 133
Fiber elongation 133
Neurites with myelination 134
Impulse hike 136
Field types for directed propagation processes 139
Properties of consumption fields 140
Refractory distance; Pulse depletion zone 141
Models for momentum propagation 142
Extinction of meeting impulses 144
Conduction Velocities in Fiber Systems 144
Observation of inaccessible places 145
7 System Optimization 147
Pulse-spacing and running time 147
Dimension and number of channels 148
Burst avoidance 148
Minimum number of channels in an n-dimensional space 149
Curvature of the image plane, extinction 149
Distorted coupling 150
Phantom images 151
Aliasing immunity and redundancy 152
Matrix grid and resolution 153
Reproduction of pulse shape 155
Multiplicative reproduction 155
Summative reproduction 156
Self-Replicating Operations 156
Parameters of pulse interference systems 158
Bandwidth, signal value and priority 160
8a Time functions 161
Rectangular impulse representation 161
Fourier decomposition of periodic signals 161
Complex Fourier Representation 163
Single pulse 163
Gaussian pulse representation 164
Gaussian impulse 164
Gaussian pulse train 166
Calculations with impulse trains 167
Difference of two pulse sequences 167
Sum and product of pulse trains 167
Discretized sum (OR) of impulse trains 167
Discretized product (AND) of impulse trains 168
Theorem on sums and products 169
Equivalent circuit multiplier/adder 171
Pulse combining circuits 171
Relations between pulse sets 172
Migration of interference maxima 174
Opposing waves in self-interference 174
Determining equations for maxima 176
Coincident waves in self-interference 177
Concurrent waves in cross-interference 178
Maxima of periodic time functions 179
8b Code selection with runtime wires 181
Ring-shaped series-connected delay chain 181
Channels of different speeds 181
Ring and line detector equations 182
Transit Time Difference Detector 184
Multiple differential detector for serial code 186
Sequence Analysis and Synthesis 187
Sequence analysis 187
Sequence synthesis 188
Sequence storage 189
Delay Filter 190
Frequency filter 190
Phase detector 190
Runtime Generator 191
Obtaining static levels 191
9a Visualization of waves 194
Snapshots 194
Straight impulse wave 194
Interference of two waves 195
Interference of three waves 197
Skewed encounter of waves 198
9b Multiple interference 200
Circular Wave 201
Hyperbolic wave 202
Intersecting circular waves 203
Quadruple circular wave interference (time-of-flight field) 204
An example of self- and cross-interference 204
Processes that change over time 206
Time plot of opposing impulse waves 206
10 Elementary functions of a neuron 209
Dynamic code generation 210
Dynamic code detection 210
Address of a burst 210
Dynamic neighborhood inhibition 211
Dynamic level generation 212
Simulative verification 212
Summary 214
11 Colored interference systems 218
Inhibition and evolution 218
Potential field, plasticity and stability 218
Inhibition in unstained interference systems 219
About the relative length of a pulse 220
Material interference, colored momentum system 221
Coexistence of colored pulse systems 223
Memory trace; Depth of colored interference space 224
Unstained interference systems, inhibition 226
Swap equivalent for load detection 227
Refractory period and myelination 227
Model of limited resources 228
Ability to learn in hierarchies 228
Refractory period model 231
Threshold model 232
Threshold shift (glia) 234
Distributed runtime model 235
Dendritic dipole momentum 237
Optimal reception 237
Wavefronts on a model neuron 238
Feedback in nerve networks 239
Dynamic Feedback Blocker 239
Static Feedback Avoidance 240
Dynamic inhibition 241
Static inhibition 242
On the structure of stochastically interconnected networks 243
12 Biological modeling 244
Somatotopic areas 244
Model of the visual field 246
Neocortical interference system 247
Model of standing (Proprioception) 248
Model of Humunculus 249
Right-Left Reversal 251
Hyperbolic body projection 251
Dermatome assignment 252
Radial Projection 253
Altitude Mappings of Hand and Spinal Cord 253
Model example command execution 255
Model of back roots 256
Model of the cerebral cortex (pallium) 257
Muscle activation model 259
Wavelength versus muscle length 259
Muscle excitement control model 260
Model of spasm induction 261
Conduction velocity of giant axons 262
Snaking model 262
Model of hearing. Model of movement 263
Changed research methods 264
13 Analytical tools 267
Elements 267
Runtime Diagram 268
Mesh Analysis 269
Path analysis 270
Custom Coordinate Systems 271
Matrix representations 273
Orthogonal interference product (matrix product) 273
Bidirectional interference product 273
Orthogonal interference sum 274
Bidirectional interference sum 274
Walsh analysis 275
14 Mean, Correlation, Convolution 276
Time averaging 276
Linear mean, first order moment 276
Root mean square, second order moment 277
Correlation 277
Autocorrelation 277
Cross correlation 277
Fourier expansion 278
Convolution (Faltung) 278
Summative interference convolution 280
Mask algorithm for interference convolution 280
Comparable Techniques 281
Optical analogue 281
Transformation 283
Calculator implementation 285
Peculiarities of interferential imaging methods 286
Possible applications 288
15 Usability under intellectual property law 289
Summary 290
16 Sources 292
Index 295



top
Mail to info@gheinz.de
Visitors since January 2022:
All rights reserved.
Copyrights Gerd Heinz