/sci/ - Science & Math

[Anonymous No.6065756]

>that good feel when you understand a math concept
my demon just now was the chain rule
d-don't make fun of me ;_;

pic related, it's all of you

[Anonymous No.6065759]

Algebra is much harder than calculus.
Please come back when you understand that.

[Anonymous No.6065763]

>>6065759
2x=4
x=2
can i stay? :)

[Anonymous No.6065772]

>>6065759
>linear algebra requires calc 2 before you can even register for it
>oh man its gonna be hard
>get in
>it's literally stuff you do in 5th grade
why

[Anonymous No.6065784]

>>6065772
linear algebra should give you a deep understanding of what it means to be a linear operator from <span class="math">\mathbb{R}^m \to R^n[/spoiler]

[Anonymous No.6065790]

>>6065772
Linear algebra is baby tier but abstract algebra is a bitch

[Anonymous No.6065798]

>>6065784
that concept is super duper easy to understand
it's like how you, a 3d object, casts a 2d shadow

[Anonymous No.6065820]

>>6065759
>Algebra harder than calculus
Which was invented first faggot?

[Anonymous No.6065833]

>>6065820
the techniques of algebra are still being invented, calculus is pretty much a finished project.

[Anonymous No.6065844]

>>6065784
>linear algebra first maths course (along with single var)
>it's like a different maths than what we've seen so far and seems completely detached
>half the shit makes you wonder why you would even bother defining that
Just look at the determinant, felt really weird why we did so much with that.
It's not until complex analysis and differential equations I've come to appreciate what linear algebra taught me, but by then I'd forgotten most of it except the small parts used earlier in calc (what defines linearity of a function, calculating the determinant).

Suppose it's necessary because you kind of need some parts to progress pretty much every maths course at that point. But still, goddamn

[Anonymous No.6065853]

It sure looks like a lot of engineering plebs in here.

[Anonymous No.6065856]

>>6065844
linear algebra is used extensively to model 3d objects (and therefore reality) in a computer
that's the main reason so many majors require it

[Anonymous No.6065867]

>>6065856
Yeah I realize it's important now, need to go back to it. Shit, still don't know what the fuck a determinant is, it's more like a multitool. Factor area changes by, describes solutions sets to differential equations, pseudo determinants used for all sorts of calculations. Pretty incredible magic tool.

[Anonymous No.6065885]

>>6065844
>>6065856
Also, once you start doing multivariable calc, results from linear algebra start appearing everywhere.

Constraints <span class="math">G_1(\vec{x})=\ldots=G_m(\vec{x})[/spoiler] = 0? This implies a system <span class="math">J\cdot(d\vec{x})=\vec{0}[/spoiler] where J is a Jacobian matrix.
The error in a Taylor approximation is roughly <span class="math">(d\vec{x})^TH(d\vec{x})/2[/spoiler] where H is a Hessian matrix.
Etc.

[Anonymous No.6065903]

>>6065756
>trying to understand newton's method for approximating square roots using the power rule
>having trouble because I didn't understand that they were just crating the equation for the tangent by using the derivative as the slope and then offsetting it by the point we're taking the tangent of
>finish it
>able to create a formula that can be used to approximate the n root of any constant faster than a binary search
>old MIT video lecture I watched makes sense

[Anonymous No.6065906]

>>6065867
http://math.stackexchange.com/questions/668/whats-an-intuitive-way-to-think-about-the-determinant


it's all about linearization and linear transformations

[Anonymous No.6066147]

>>6065756
Triple integrals are teh hardest concept in Math

[Anonymous No.6067431]

>tfw I finally understood schemes

[Anonymous No.6067835]

>I live in "St-Malo"
>so I wanted to master "Mahlo cardinal"
>done, with pain.
>well, OK. It was a waste of time
>/blog
>/life

[Anonymous No.6067859]

I don't understand how to find the probability that x outside a 0.6a-side hypercube of arbitrary dimension when it's distributed inside an a-side hypercube if same dimension. It makes me sad. I think it's 0.4^d, but I have no proof.