The other thing that’s useful is that the probability density of finding the particle at a given spot should be inversely proportional to its velocity there
(the longer the particle stays in a given interval, the more likely you are to find it there)
One important point of comparison here is that the wavefunction is nonzero everywhere in space. In particular, it’s nonzero for x beyond the classical turning point
Is there some online program where you can draw crappy pics and it will output the latex code, e.g. like you make your own inclined plane drawing with paint and it turns into code
A wonderful option is mathcha: www.mathcha.io
just open the editor, you log in
and you make your drawings and equations.
this online program will create different export formats, including Likz, which is compatible with Latex.
For another, when I say amplitude in reference to a classical harmonic oscillator I mean precisely “how far does it move from the origin before it stops and begins moving the other way”
In algebraic topology the cap product is a method of adjoining a chain of degree p with a cochain of degree q, such that q ≤ p, to form a composite chain of degree p − q. It was introduced by Eduard Čech in 1936, and independently by Hassler Whitney in 1938.
== Definition ==
Let X be a topological space and R a coefficient ring. The cap product is a bilinear map on singular homology and cohomology
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Why are the wave number $\mathbf k$ and the electric and magnetic fields $\mathbf E$ and $\mathbf B$ are perpendicular to each other?
I know it but I haven't thought about it deeply.
How can I prove this conclusion mathematically?
@EmilioPisanty similarly, the tikz package for commutative diagram (tikz-cd) is not available. Trying to simply put in the same directory led to a several hours long dependancy chase only to realize that the version of pgf on our tex build is not compatible with tikz-cd
-_-
@EmilioPisanty Could probably make it work, there is a fair amount of lazyness at work here...
thankfully it's a mostly fully-kitted-out texlive (I think bundled with ubuntu 16.04?) but at some point IT just utterly failed at installing a font I needed wanted because texlive just doesn't have it.
@Semiclassical btw, I loved the greek quote you posted! Especially in the context it was posted! I was becoming quite exasperated before I just quit! :P
I mean, if one wants to poke fun at certain parts of modern physics with regards to how speculative and out there it can be, I can't say I entirely object
e.g. the struggle of string theory / SUSY to find something that can actually be empirically validated
@0celo7 The ring structure doesn't change. There's a map $M \# T^n \to M \vee T^n$ given by punching the sphere along which you took the connected sum. This gives a map $H^*(M \vee T^n) \to H^*(M \# T^n)$
So, you know, engage at your peril. Can be worth it if the paper is good, but unfortunately you can't count on a proper engagement in return if you do.
@Semiclassical there was an excellent bit on this subject in A serious man
@Semiclassical Yeah, but poor debate is different than calling every physicists clueless and telling me I have low self-esteem. Like, ok, I was just trying to help.
@BalarkaSen Cool. This one wasn't such a big deal though, because of its abstractness... I think deleting it is good choice, but not strictly necessary.
@BalarkaSen Given $\alpha\in H^1(M,Z)$, can one always find a smooth hypersurface in the class of $D(\alpha)$? I was under the impression this is not possible with integer coefficients.
In general the expectations for people's conduct are pretty similar to what is in the help center, e.g. don't be rude, do be accommodating of other people's views. But it's not as clearly specified as on the main and meta sites.
@G.Bergeron As far as topics, in general anything is fine to discuss here, though it's best to stay away from certain topics that are widely considered not suitable for public conversation (e.g. sex, that's come up in the past I think).
Possible Duplicate:
Cohomology and fundamental classes
Given an oriented manifold $M$ and an oriented submanifold $\phi:N\to M$ we can obtain a homology class $\phi_*[N]\in H_*(M)$ where $[N]$ is the fundamental class of $N$. In general, it is not true that every hom...
Tbh when I mention studying astronomy, the most common questions are "can you read my fortune?", "so you must be a fan of Neil deGrasse Tyson, right?" and "what's the seventh planet in the solar system? durr durr durr"
@SirCumference On topic: When we were little, my father showed us a documentary about the fake moon landing that was well made and all. The goal of the entire exercise was to show us what bullshit looks like with a nice coating of paint.
"I am a zygote and i love this kind of music. I don't understand why my fellow pre-embryonic eukariote colleagues only listen to chart music but i've been told i'm an old soul"
@G.Bergeron many thx for reading the paper & the analysis/ discussion (on the other hand, its not mine...). fyi the snarky comments were performance art, sorry you took them seriously/ personally
@G.Bergeron am sorry to hear/ disappointed you think it was a "waste". not sure what you expected. sorry the discussion and/ or paper did not meet your expectations. enjoyed it myself at time but will have to reevaluate that feeling now.
@vzn maybe you should evaluate whether that's because you treat interactions with others as "performance art" (?) instead of actual scientific discussions
First, make sure you are not really a crank before trying to convince others.
Read these common characteristics of cranks.
If they apply to you then get professional help.
For the rest of the answer
I will assume that you have really solved a famous open problem.
In the following
"he" refers...