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/sci/ - Science & Math

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10506194 No.10506194 [Reply] [Original] [archived.moe]

Explain uni level math to me like I'm 5 years old.

>> No.10506228
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>> No.10506241

Excuse me sir, but I prefer the word "homosexual".

>> No.10506246

Suppose you're on one side of a line and the only thing that happens to you is that you walk. Also suppose you find yourself at the other side of the line at some later time, then that means you've crossed the line at some point. This is known as the mean value theorem.

>> No.10506252
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>mean value theorem

>> No.10506256

are you trying to pick a fight?

>> No.10506265

isn't that called the intermediate value theorem?

>> No.10506268


>> No.10506271

fuck you're actually right

>> No.10506283

so ya didn't mean it huh

>> No.10506289

i-i just call every result which looks like that as the mean value theorem

>> No.10506301
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>Explain uni level math to me like I'm 5 years old.

"Read this book until you understand it, or there'll be no dinner, no TV and no birthday present for you. You little shit."

>> No.10506408
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I hope this is bait. You made me laugh regardless

>> No.10506416

The McLaurin series is basically saying "We don't really know how this works, but we can create something which works very similarly".

>> No.10506421

Calculus is just 95% algebra and 5% calculus

>> No.10506425

it's magic

>> No.10506429

maybe for a physicist, terminating the series after two terms

>> No.10506456

you're a mean person

>> No.10506485

I wish there was more actual algebra in calculus tho

>> No.10506486

Calculus is not math.

>> No.10506488

algebra isn't algebra

>> No.10506498

>absolute state of murican education

>> No.10506938


>> No.10506944
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Let's think about a simple example, the circle. I can break up the circle into two slightly overlapping pieces, such that if I glue them back together (with the overlap) I get back the circle. We call this a "union" of the two pieces (line segments).

Now let's think about that little bit of overlap: they overlap at the ends of each pieces, so there are two disconnected bits if we only think about those overlaps. We call that the "intersection".

Now, recall that the kth de Rham cohomology of a manifold M is the kernel of the exterior derivative on the k-forms on M mod the image of (k-1)-forms. There is a short exact sequence from the 0 vector space into the kth de Rham cohomology of the circle, into the (outer) direct sum of the kth de Rham cohomologies of each piece of the circle, into the kth de Rham cohomology of their intersections, and then back into 0. We can see this existence intuitively by thinking about cutting apart and the patching back together these particular pieces of a circle: there should be a map that lets us preserve properties on each of those pieces.

The Mayer-Vietoris sequence, then, is the existence of connecting maps that connect each kth short exact sequence of this form with the (k+1)th short exact sequence of the same form. That is, as we move up cohomology degree (in de Rham theory, that is the degree of the exterior forms that describe the geometry of the manifold), we have a cochain of maps which such that we can relate each kth cohomology with the next, and thus compute them all efficiently via this cutting and patching method.

>> No.10506949
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Very simple indeed.
>Mfw reading this

>> No.10506956

College level math is mindlessly cramming all the derivative and anti-derivative rules for the entire year and then applying it to optimization problems.

>> No.10506966

If [100%] calculus is (just) 95% algebra and 5% calculus, then:

(100% - 5%) calculus = 95% algebra
95% calculus = 95% algebra
calculus = algebra

So you're basically saying calculus is just algebra?

Well, you're not wrong... Calculus is basically just a glorified set of basic rules for solving differential and integral equations, so basically algebra.

>> No.10506979


>> No.10506990

Then give a better explanaiton


>> No.10506997


>> No.10507004
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>So you're basically saying calculus is just algebra?
Algebra has the fundamental theorem of algebra in it but not the fundamental theorem of calculus.

>> No.10507023


>> No.10507066


>> No.10507068

>like I'm 5 years old
All the math you'll be taught over the next 13 years can be condensed into a singular theorem.

>> No.10507137


>> No.10507154

>uni level

>> No.10507157

>Reddit comment strings
Upvoted and followed :D

>> No.10507168
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everything in math is just tricks, shortcuts, secret codes, to finding an answer, using a system of reasoning/logic and numbers.

Its just a brain teaser, and if you can't solve the brain teaser, well I guess you really suck.

>> No.10507190

You study liberal arts or woman studies probably

>> No.10507259

>everything I don't like is reddit
Nice to see kids still follow all the latest meme trends on 4channel.

>> No.10507458

>If [100%] calculus is (just) 95% algebra and 5% calculus, then:

>(100% - 5%) calculus = 95% algebra

No you fucking nigger. It s

>(100% - 5%) calculus = 100% algebra

Now go make yourself a milk shake with bleach and ammonia, you ll get the IQ you lack to participate in this board

>> No.10507475

>to finding an answer
answer to what?

>> No.10507962

Doing weird math to let you make spots in the equation which you can put numbers you know into to find number(s) you don't know. Most of the time its weird and no normal person will ever need it.

>> No.10507985

You realize that you can use McLaurin series to actually prove things about functions, right?

>> No.10507988

>fundamental theorem of algebra
>being a theorem of algebra

>> No.10507996

Don't know how it's done in other unis, but basically the first year of uni-level maths is all you need for any science undergrad (working through linear algebra and vector calculus, discrete math, set theory) then the next 2 years involved the rug getting swept out from beneath you to redo the whole of the material in accordance with standards of "mathematical rigor" (which will vary wildly depending on your professor) and then 4th year you take really interesting classes and kill yourself because you didn't get into a decent grad school with any sort of scholarship and a BsC in maths is totally useless and you'll never get to unlock the secrets of the universe

>> No.10509444



>> No.10509458

Yeah I'm aware that McLaurin series is a way of proving e or something like that. Newton did it, I think. But that doesn't change the fact that stuff isn't the mclauring series, the mclaurin series is just an approximation approaching infinity so you _say_ that it is the same thing.

An atom is not identical to another atom. But they're so similar that it's more convenient to simply say they are.

>> No.10509477

>theorem that states that the complex numbers are algebraically closed is not a theorem of algebra

>> No.10509481

No wait that was euler who did, ofc.

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