// Main VL template
#import "../preamble.typ": *

// Fix theorems to be shown the right way in this document
#import "@preview/ctheorems:1.1.3": *
#show: thmrules

// Main settings call
#show: conf.with(
	// May add more flags here in the future
	num: 5,
	type: 0, // 0 normal, 1 exercise
	date: datetime.today().display(),
	//date: datetime(
	//	year: 2025,
	//	month: 5,
	//	day: 1,
	//).display(),
)

= Uebersicht

- Convolution
- Correlation
- Linearity and its problems

Linearization of problems is used for saving energy also by the brain.

Gabor functions look like
$
	g (x) =  (1) / (sqrt(2 pi sigma)) exp((- (x - x_0 )^2 ) / (2 pi sigma)) "trig"(k x).
$
Those can be used to model response patterns of some tissues.

Filter operation is always a convulution.

In the brain every cell is oriented to a specific point in space.

Next time we will make applications of convolutions and correlations.