/sci/ - Science & Math

>>11466284
I still have literally no idea what you're asking. Is [math]p[/math] a polynomial and you're doing babby functional calculus on matrices?
Is [math]p[/math] continuous and you're doing autistic functional calculus on spectral measures?
Also, for the counterexample, try the [math]J[/math] operator of multiplication by [math]i[/math] in [math]\mathbb{C}^n = \mathbb{R}^2[/math] and notice that is squares to the negative identity.
>>11466355
>what are multiplicities
>>11466521
>Do they mean supplying a predicate p such that ∀y(p⟺y∈x)?
No, they mean explicitly giving the object desired.
As in, I want to demonstrate that [math]f(x)[/math] is integrable. A constructive proof would be literally writing down its integral, or giving an approximation procedure and showing its well defined. A non-constructive proof would be assuming it doesn't exist and deriving a contradiction.
>>11468450
Works for me.
Try https://libgen.is/
>>11468603
Melnikov's Exercises in Graph Theory.
>>11468666
We split up the path into two components: the vertical path (which is trivial, since it's up up up) and the horizontal path (which I think was actually a classical problem of moving back and forth in one direction, but I don't know the name).
So, you compute the number of possible horizontal paths, and then find the number of ways you can "embed" them into a full path (so you can think of any "full" path as a word made of the letters "h" for horizontal and "v" for vertical).