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Drakkith
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@Greg Bernhardt perhaps it would be a good idea to create a notification letting everyone know that this thread exists? Most people don't check the feedback and announcements forum regularly.
That's how you'd pronounce it, but you'd write it as ##\aleph_0##.DrClaude said:The forum formerly known as the PF Lounge.
So the new lounge will look exactly like the old lounge, but a different size?*now* said:Eigenlounge
I suggest to modify your first suggestion to "The Quark's" as we all(?) are Trekkies, although I assume that most of us have their difficulties with the Rules of Acquisition.pinball1970 said:Quarks corner
The H Bar
going through my thickest physics index
We could add an "s". Thus we have more possibilities: old = new, 0=BH, -1=weird news and so on ...DrGreg said:So the new lounge will look exactly like the old lounge, but a different size?
fresh_42 said:Are you sure? Guess many won't find out again.
I suggest to modify your first suggestion to "The Quark's" as we all(?) are Trekkies, although I assume that most of us have their difficulties with the Rules of Acquisition.
But you nailed it. It's basically the lounge on DS9 run by an alien named Quark.pinball1970 said:My partner pointed out I have stolen something from Deep space nine, I don't watch it so it was done in good faith
fresh_42 said:But you nailed it. It's basically the lounge on DS9 run by an alien named Quark.
Considering the fetish physicist have to frames and coordinates, we should prefer "Des Cartes".pinball1970 said:La Place?
fresh_42 said:Considering the fetish physicist have to frames and coordinates, we should prefer "Des Cartes".
Not sure I understood it right but here's what I meant: In physics, everything is about frames, frames and transformations between frames. Frames are coordinate systems. The most used coordinate system are Cartesian coordinates. The word Cartesian is because of René Descartes. And "Des Cartes" is French for "Maps". Too indirect?pinball1970 said:I don't think I am getting enough of these jokes, If it is not a joke then I am not getting enough of the physics
That depends on who operatesDrGreg said:So the new lounge will look exactly like the old lounge, but a different size?
Bandersnatch said:Potato Couch
Potato CauchyGreg Bernhardt said:Perhaps we can keep the word "Lounge" in the title but can we make it a little more creative?
Sorry, found an error in that statement:mfb said:That depends on who operatesDrGreg said:So the new lounge will look exactly like the old lounge, but a different size?
Even if we all commute, it still can have different sizes, and depends on where you enter it, as well as who operates it.mfb said:Sorry, found an error in that statement:
It does not matter if we all commute.
fresh_42 said:Even if we all commute, it still can have different sizes, and depends on where you enter it, as well as who operates it.
mfb said:Okay, a bit of linear algebra: Linear operators M have a set of eigenvectors vi such that ##Mv_i = \lambda_i v_i## for some constant (the eigenvalue) ##\lambda_i##. As an example, an operator "mirror the z-direction" in 3D space would have the x- and y-direction as eigenvectors with eigenvalue 1 and the z-direction as eigenvector with eigenvalue -1. "Mirror across the plane x=z" would have the y-axis and a vector (1,0,1) as eigenvector with eigenvalue 1 and the vector (1,0,-1) as eigenvector with eigenvalue -1.
In general different operators have different eigenvectors - if you apply an operator on an eigenvector of a different operator you get something, but in general not a multiple of this eigenvector. There is an exception: If two operators commute, then you can find a set of eigenvectors for both operators together. For operators M,N "commute" means ##MNv=NMv## for all v. For people, "commute" means something else...
However, not necessarily eigenvalues. E.g. ##M=I## and ##N=2I##.mfb said:There is an exception: If two operators commute, then you can find a set of eigenvectors for both operators together.