>sit in on a signal processing course >professor says Dirac

>>7989699
>I don't know what a functional is
Stop trying to seem smart.

>>7989704
It's a distribution, not a function.

>>7989706
Formally it is well defined as a measure. And a measure is a function.

>>7989709
Engineering student detected

>>7989706
Yes it is you fucking retard. The argument is the location at which the pulse occurs. Go back to your freshman pure math wankery.

>>7989710
> implying engineers know measure theory

>>7989710
http://planetmath.org/diracmeasure

>>7989699
>Dirac

HEAVISIDE!

>>7989712
I was an engineering undergrad and we discussed it in my channel coding courses with respect to random processes

>>7989706
Distributions are functions, retard.

>>7989699
>>7989706
>>7989710
You should probably drop out of college right now and become a janitor before you shame yourself any more.

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>>7989724
>I can't handle sophisticated satire of engineering students

kek, American detected

>>7989720
I'm an engineering grad student and I'm drunk as a skunk

Can someone explain what coverings having finite subcoverings have to do with measure theory?

>>7989730
What does that have to do with coding theory

>>7989725
No need to cry! You still have an exciting career in sanitation waiting for you!

>>7989757
kek, bootyblasted Amerilard detected

another victory for Australia

I'm 100% convinced that i've seen this thread before.

>>7989699
poo in loo detected

>>7989730
Closed and bounded implies finite measure dude

>>7989699
Literally every professor mentions "it's not really a function, but it's easier to call it as such" the first time they mention it.

Chances are, he said this exact thing to his students last month, and you missed it because you're too busy spreading autism.

>>7989835
Yeah I posted it about 8 months ago

>>7989730
The lebesgue measure is defined in terms of the topology of R^n. Is it really *that* surprising that its properties should be related to topological properties of R^n ?

>>7989718
Heaviside is a unit step function. I.e. u(t>0)=1,u(t<0)=0;

>>7989835
It is one of these threads that gets reposted as soon as the last one has died

>>7989699
Is that the "autismus maximus" guy? What's his name?

It would be incredibly helpful if someone defined the word "function" before you start fighting.

If a function is a mapping between two collections of things (domain and codomain). Meaning we we can associate a value (in the codomain) to every input (in the domain), then the mapping that for fixed x0 takes functions f (from the function space R->X) to the value f(x0) in X is a function.
The Dirac delta can, however, usually not itself be associated with a function with domain R.

What else is there to say?

>>7989699
M8, it's defined by an integral don't be a cunt

>>7993549
It's not a well behaved function, in that there are discontinuities in the derivatives.

>>7993553
What's your point?

Is this a comment you'd also throw in if people talk about identity from {0,1,2} to {0,1,2} or the rectangle signal?
(I also have the feeling that by derivative you mean the function d' in \int d'·f dx that you get when applying rules of calculus to \int d·f'. To take the derivative of the described function requires that the domain (the function spaces) be normed.)

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>>7989699
>it's a mathematicians are autistic episode

>>7989699
>it maps every element from the domain to exactly one element of the codomain but is not a function
Flounder like you need to go back to highdcjool, kid.

>>7989868
>Closed and bounded implies finite measure
Wrong.

Why do you even comment if you know nothing about measure theory?

>giving a physics tutorial to second years
>start talking about a dirac delta function
>one of them puts up his hand
>he has a really irritating, nerdy voice
>"technically it's a distribution"
>deliberately take marks off him when I end up marking his exam
heh

>>7993488
Integral of dirac is heaviside

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>>7993531
Spede Pasanen, King of asburgers

>>7989868
>*define measure as infinity for every set*
>*draws katana*
your move, kid.

Engineer here.
It doesnt matter to us. We can just approximate it by 1E99, or 1E10, or actually dont approximate it at all - we cant create such a sharp pulse. Its a useful concept to derive lots of stuff, so who cares what its called? Who cares if complex number are not "actual" numbers?

>>7993784
Gr8 b8 m8

>>7993773
Thanks anon

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>>7989723

>>7993818
>f: C(R) -> R
>f. x |-> x(0)
>not a valid function

>>7993847
What's the value of d(0) then, retard?

>>7993895
You mean delta applied to the constant zero function? Well, what is the value of the constant zero function at 0?

>>7993895
>defined on a function space
>try to plug in a scalar
good job einstein.
also >>7993900

>>7993900
Still didn't answer my question

>>7993921
>too retarded to understand answer
>gets mad as fuck

>>7993773
>Spede Pasanen, King of asburgers
Is he?? I checked the wackypedia article and it is gone gonzo: it even says he was a comedian.

t. Scandinavian

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>>7994002
Comes from this Ylilauta post

>>7994019
Well not this exact one, but this was the wording and picture of the original

>>7993921
Except it did.

>>7994019
>asberger.jpg
>dat face
10/10 meme