How Are the Kronecker Delta and Dirac Delta Related?

[Another]

I want to know if these functions are related?
for example. I can write Dirac delta in term Delta Kronecker from?

Where can I learn these?

 

[fresh_42]

I want to know if these functions are related?
for example. I can write Dirac delta in Delta Kronecker from?

Where can I learn these?

What do you mean? Your question sounds like: Are the Greek P and the Latin P related? Where can I learn when to use which?

We usually have a function written in a certain way and the context defines the symbols, not the other way around. E.g. "D" can mean: domain, differential operator, a vertex of a polygon, an area, a derivation, or whatever an author uses it for, if he runs out of standard notations.

 

[wrobel]

I want to know if these functions are related?
for example. I can write Dirac delta in term Delta Kronecker from?

Where can I learn these?

Good question. They are related. Let $f:\mathbb{R}\to\mathbb{R}$ be a continuous function with compact support; and let $F:\mathbb{Z}\to\mathbb{R}$ be a function
Compare:
$$\int_{\mathbb{R}}\delta(x-y)f(x)dx=f(y);\quad \sum_{i\in \mathbb{Z}}F(i)\delta_{ij}=F(j)$$