## Statistics

##### Anime Stats

Days: 263.5

Mean Score:
9.32

- Total Entries989
- Rewatched0
- Episodes15,933

##### Manga Stats

Days: 2,000,364.5

Mean Score:
8.66

- Total Entries115
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##### Manga History Last Manga Updates

Isekai Trip-saki de Tasukete Kureta no wa, Hitogoroshi no Shounen deshita.

Yesterday, 2:01 AM

Reading
1/7
· Scored
10

Sokushi Cheat ga Saikyou sugite, Isekai no Yatsura ga Marude Aite ni Naranai n desu ga. ΑΩ

Yesterday, 1:28 AM

Completed
23232/?
· Scored
9

## All Comments (87) Comments

The tychonoff plank is normal but its subset, the punctured tychonoff plank (tychonoff plank-(ω,ω1)) is not. It is an example that shows that normal spaces can have subsets that are not normal.

Green's Function

Normal Space

F(z)=H(z)+∑(from n=1 to ∞)[Gn(z)+Pn(z)]

here Gn(z) is the principal part corresponding to the pole An and Pn(z) is chosen based on Gn(z) so that the series is uniformly convergent.

Uniform Convergence

(I know there are other cross products but this was the easiest one :)

Essential Singularity

didn't completely understand this either.

Jacobian

The method of Lagrange Multiplers is a method that one uses to find extremas for a function of multiple variables under some equality constraints. It is based on the idea that at the extrema point, the gradients of the function that is being optimized and the constraints are linearly dependent. The proportionality factors between the gradients are known as the Lagrange Multipliers.

Cayley Graph

A Grothendieck Topos is a category that is equivalent to the category of sheaves of sets on some topologised category

but I don't know what this really means. I am too small brain for it.

Saddlepoint approximation method

It states that if a Riemann surface has genus g and canonical divisor K then for any divisor D ,

l(D) − l(K − D) = deg (D) + 1 − g

Here, l(D) is the required answer to the Riemann Roch Problem.

Nagata–Smirnov metrization theorem

It says that the real part of all the non-trivial zeroes of the riemann zeta function is 1/2.

Bolzano–Weierstrass theorem

Cauchy Schwarz inequality says that the magnitude of the inner product of any two vectors is always smaller than or equal to the product of their norms. It is true for any vector space for which an inner product has been defined.

Riemann Sphere

Cauchy–Goursat theorem