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/sci/ - Science & Math

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10989869 No.10989869 [Reply] [Original]

What are all the different kinds of calculus? There are so many. Vector, tensor, differential, integral, stochastic, and variations.

>> No.10989878

>>10989869
calculus of numbers.
so like arithmetic.
calculus basically means calculation or manipulation.

>> No.10989880

>>10989869
Calculus is just another way of saying "way of calculating." Not everything called calculus is in the same category.

>> No.10989913

Calculus is just fitting triangles and rectangles under or between curves, nothing else.

>> No.10989924

Until integral, it's just analysis on R^n. Stochastic is heavy abstract measure theory + stochastic processes. Variations, while you could say is Functional analysis applied to certain function spaces, and functionals defined on it. Basically, analysis is all you need.

>> No.10989946
File: 23 KB, 1200x968, lambda cube.png [View same] [iqdb] [saucenao] [google]
10989946

Calculus of constructions

>> No.10990364

Learning is pattern based
ergo, no learning can be hard

>> No.10990369

>>10989913
cringe and engie pill'd
>>10990364
Based guy that thinks tensors are easy.

>> No.10990418

>>10990369
Man, I love tensors -- they're just so easy!

>> No.10990515

>>10989869
what's your fucking problem with tensors, retard?

>> No.10990523

>>10989869
Kirby calculus, calculus of fractions

>> No.10990539

lambda calculus, dental calculus, renal calculi, calculus bovis, calculus ratiocinator, calculus bicolor

>> No.10991732

>>10989869
Just get a calculator lmao

>> No.10991859

>>10990515

Tensors for physicists are trivial index shuffling. Real tensors, defined over general rings, might be worth complaining about just a little bit if you're an undergrad with a medicore IQ, but they're defined in such a way as to make all their most important properties fairly trivial to derive.

>> No.10991951

>>10989869
>tensors are hard because I have to think
>>10990418
>>10990515
>>10991732
>>10991859

based

>> No.10992470

>>10990515
Does the picture have my name on it? No, it's just a joke I found on google images that I thought was funny and related to my post so calm down. I understand how tensors work.

>> No.10992475
File: 79 KB, 596x619, 1546305369731.jpg [View same] [iqdb] [saucenao] [google]
10992475

>>10989869
Umbral calculus

>> No.10992480

>>10991859
a real tensor is a tensor field defined over a smooth manifold, dipshit.

>> No.10992514

>>10989869
What’s the 3D version of calculus? Why do we only look at lines and graphs?

>> No.10992522

>>10992514
multivariable

>> No.10992527
File: 81 KB, 658x901, 1568494817519.png [View same] [iqdb] [saucenao] [google]
10992527

>>10992480

>Hur dur look at me I need things 2 be smooth and applicable to real life to solve problems hur dur

I mean at least you're not an engineer but god damn nigga

>> No.10992533

>>10992527
Is this how you cope with lacking any skills which are practically meaningful?

>> No.10992596

>>10989869
Penumbral calculus

>> No.10992701

>>10992514
>>10992522
and also 3d is a subset of multivariable.
3d is just f(x,y), a function of 2 variables. but not all 2 variable functions have a geometric interpretation. for example f(x,y,z) would be 4D but more likely it would be something like a mass (a function of density at every given point in 3d space).

>> No.10993112

>>10992480
You are right, but fucking physicists never mention this.

>> No.10993146

>>10989869
quantum calculus