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 up to now it is not able to upload any PDF-translation is the total destruction of formulas and vector-images.
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 Homunculus | 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