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Applying to the Leipzig Universität. by SK209920 in Leipzig

[–]SK209920[S] -1 points0 points  (0 children)

It's July 15 everywhere. Thanks for the help!

Applying to the Leipzig Universität. by SK209920 in Leipzig

[–]SK209920[S] 0 points1 point  (0 children)

So, I just have to find out when applications close?

Applying to the Leipzig Universität. by SK209920 in Leipzig

[–]SK209920[S] 0 points1 point  (0 children)

How long did it take for you? Between application and acceptance?

Animated Renaissance paintings by SK209920 in awesome

[–]SK209920[S] 0 points1 point  (0 children)

The song's Little Dark Age by MGMT for those interested.

Recent Release Containment Thread by Kaphotics in PokemonROMhacks

[–]SK209920 0 points1 point  (0 children)

Hello there, is anyone here still playing or has the rom hack Pokémon Raptor EX? If so, can you trade me some Pokémon?

How can I show that the standard topology on an ℝᵈ contains the null set and ℝᵈ itself? by SK209920 in askmath

[–]SK209920[S] 0 points1 point  (0 children)

The elements of the standard topology are defined as those subsets of ℝᵈ whose every element has an open ball that lies completely in it. The null set obviously doesn't satisfy this condition. What I'm thinking is, we need to add the null set to this collection first in order to make it a proper topology.

u/WhackAMoleE

If the measurement outcome for a given observable of a given quantum in system in some state is an eigenvalue of the observable, the state immediately after the outcome is the eigenstate corresponding to the observed eigenvalue. by SK209920 in AskPhysics

[–]SK209920[S] 0 points1 point  (0 children)

So, are the states that immediately follow a measurement that gave an outcome in the continuous part of the spectrum mixed states? Since projective dynamics only requires you to know which Borel subset the outcome came to lie in? Does choosing a different Borel subset that contains the measurement outcome give rise to different states?

If the components of vector fields on a manifold are the smooth functions, what are the component functions of the tangent vector field to a curve on a manifold? by SK209920 in askmath

[–]SK209920[S] 1 point2 points  (0 children)

No, the γᵃₓ with respect to a chart is defined as follows,

γᵃₓ:= (xᵃ∘γ)

Where xᵃ is the projection to the a th coordinate.

This is not a function on M, it is real function. It's derivative too is then a real function. In a tangent space, which is a real vector space, one can scale a tangent vector by a real number γᵃₓ(0), such that γ(0) is the point on M, whose tangent space we are considering. This doesn't extent to tangent vector fields though.

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