**ISBN
978-3-00-064888-5
**

**Monograph of Dr. rer. nat. Andreas Heinrich Malczan**

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

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.

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.

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