/sci/ - Science & Math

induction isn't proving anything, it's assuming what you are supposed to be proving. It's still useful in many practical applications, but it's the lazy man's proof, for when they cannot get to the real underlying truth of the matter, which unfortunately is the case often. A perfect logician understands infinite inductive cases is not concrete and leaves an unbounded patch to a problem that may or may not be able to be put not finite structure. Are there problems which are unsolvable without induction in the universe? We just don't know. But if there is than the universe is truly a weird place.

>>5185945
>>5185973

I'm also a highschooler and I took Coursera's Intro to QM and Quantum Computing. It's really very basic but you learn a little so you can do more advanced QM courses later. Calculus and Linear Algebra required, not much, but you should know about Eigenvalues and Eigenvectors, Orthogonal Bases, and stuff as well a little bit of Differential Equations solving.

<span class="math">\forall N_\epsilon(fa),\exists N_\delta(a) : fN_\delta(a) \subset N_\epsilon(fa)[/spoiler]

Is <span class="math">\psi^{*}\gamma^{\mu}\psi[/spoiler] the <span class="math">\gamma^{\mu}[/spoiler] component in <span class="math">\psi[/spoiler]?

>Mechatronic Engineering
>CS+EE+MechE

>>4975776

Thx, I did all my exercises applying the commutator as an operator to a function, it's indeed easier.

>>4955493

Of course not. Here's a panda.

Nice troll OP

cute pandas anons

yes for all

Velocity, as well movement, is dependent upon time. If the time is frozen, the movement will also be frozen. You have to get a difference between spaces to find movement, as well as a difference between times, if at a single moment, the arrow occupies one space.

<span class="math">\int_a^b \! f(x) \, \mathrm{d} x[/spoiler]

I'm a highschooler and I can do this, while you can't and have to ask for help, feel ashamed

> Chemistry
> Hard science

>>4717596

I was thinking about this. You can have a curve out of the square going from 2 to 3 which does not intersect a curve going from 1 to 4 inside the square.

Here's it!