﻿ Brain theory: Prime size diagram, image diagram, radius vector

# Vertebrate brain theory

ISBN 978-3-00-064888-5

Monograph of Dr. rer. nat. Andreas Heinrich Malczan

## 5.3  Magnitude diagramm, image diagramm, radius vector and phase angle in plane divergence grids

### Definition: Great Size Diagram

The original quantities u and v, whose values are measured by receptors and transformed into fire rates to feed a plane divergence grating as input, can be represented in a coordinate system with polar coordinates. While u is represented on the x-axis, we assign v to the y-axis.

We refer to this representation here as the greatness diagram. Figure 54 - Great Size Diagram in Polar Coordinates

The following applies (3.1.1) (3.1.2) (3.1.3)

This also means that (3.1.4)

We refer to the quantity φ as the phase angle in the original size diagram.

If u and v are motor variables describing the muscle tension of four muscles of a joint with two degrees of freedom, each periodic movement is represented in the great magnitude diagram by a curve graph representing a Lissajous figure. If, for example, the arm is rotated, a closed circular line is created in the corresponding great magnitude diagram. From the curve graphs it is therefore also possible to infer the type of movement. If you write a figure eight in the air with an outstretched arm, this figure eight - possibly slightly distorted - can be found in the great magnitude diagram. If you write any number or letter in the air with an outstretched arm, exactly this figure appears in the great-size diagram, even if it is shown slightly distorted.

### Definition: Image size diagram

The quotient is the quotient of the fire rates f3 and f1 of a plane divergence grating.

The quotient is the quotient of the fire rates f4 and f2 of a plane divergence grating. Let it be (3.1.5) (3.1.6)

We refer to the size ω as phase angle in the image size diagram.

### Phase angle theorem

The following applies to the phase angle ω in the image size diagram of a divergence grating (3.1.7)

Monografie von Dr. rer. nat. Andreas Heinrich Malczan