@copper.hat It seems to have been for me, as well. I deleted my meta posts since others were saying it was a duplicate. That is questionable, but it is moot now.
For a subspace W of a vector space V over field F, is it true that $fW=W$, where $f\in F$?
I think yes if $f\ne 0$
Because, if $f\ne 0$ then $fw \in fW\implies fw\in W$ (as W is subspace) so $fW\subset W$ and $w\in W\implies f (f^{-1}W)\in fW$ (as $f\ne 0$ so must have inverse in F) and therefore $W\subset fW$. It follows that fW=W.
I know that the LCM of 26 and 35 is 910, but what if I only need an approximation of 35. 3*26=78, which is close to 70. basicly what I'm asking is, is there something else that would be useful? It's for rising demons in a game out of dead bodies.
35 hitpoints=1 demon
26 hitpoints has a hellhound and can be converted to demons
> We don’t tolerate any language likely to offend or alienate people based on race, gender, sexual orientation, or religion — and those are just a few examples. Use stated pronouns (when known). When in doubt, don't use language that might offend or alienate.
You weren't being offensive hence why I didn't suspend you but inciting or motivating racist discussion is not something I will allow here. Room owners here and Math.SE mods can overrule me if they want.
Hello, any idea how to find the boundary of a distribution please? Can we find boundary if a distribution in 2d and 3d or we can find it for n-dimensional data as well?
map the gaps that $x$ can't occupy in $\mathbb{N}$
you have to begin doing it manually, writing a couple of iterations of the sequence, then see if there is some combination of $n,m$ after which there are no more gaps
jserv, i read it as whether the grant is successful in its aims. otherwise the separate data about "whether the grant fails" is a little odd (a grant not awarded cannot fail)
this says that $3\cdot35-4\cdot26=1$ which is $-3\cdot35+4\cdot26=-1$ add the homogeneous solution $26\cdot35-35\cdot26=0$ to get $23\cdot35-31\cdot26=-1$ which can be rearranged to $31\cdot26=23\cdot35+1$
I'm now willing to admit I've spent far longer than 20 minutes on this problem, and I'm almost certain I've got it wrong. Can anyone please point out any obvious errors? i.ibb.co/XscV365/Screenshot-2021-07-30-195201.png
@hyper-neutrino I came all the way here to invite you to the Cafe chat for a new word-search game. All others here, @robjohn, @TedShifrin, @leslietownes, @copper.hat, Everyone is welcome, in fact!!
Also, note that the linked chatroom in my last post is Cafe and Tavern on the math.se, in case that might perk users' interest! ;D
random growth is easier to understand on random surfaces than smooth ones. The randomness in the growth model speaks, in a sense, the same language as the randomness on the surface on which the growth model proceeds.
@copper.hat Hah! I like that. Well I'll convey, all the way over here to this chat, there are bonus points for answering why INTERNATIONAL SPACE STATION seemed relevant, now, to be a search phrase???? I.e. anyone here anything of late about it??
@copper.hat Yay!! You win. Yes, and it took took the station out of alignment, so took some nifty work from the ground to bring it back. See, do not underestimate yourself!!
Can anybody help me understand why the mobius strip and holed cross cap are homeomorphic? I am not getting it very much- there is self intersection in the holed cross cap but no self intersection in the mobius strip...
the way to visualize the actual topological space is to treat it as a subset of R^4 = R^3 x R, the last coordinate representing a color coordinate; so the space is a colored cross-cap, but the two sheets which intersect have different color coordinates (blue and red, respectively)
this means they do not intersect in R^4. two points in R^4 = R^3 x R(color) are the same iff they have the same location in R^3 and have the same color
this is the cross cap in R^4.
if you forget the color of points you get the cross cap in R^3.
a topological space does not sit inside R^3 or R^4. its an entity independent of where its embedded. a mobius strip is homeomorphic to a punctured cross cap.
well im not sure then how the mobius strip is homeomorphic to this holed cross cap, which doesn't intersect itself because it is in R^4, yet there is a mobius strip with 'self-intersection'...
Try to fold a Mobius strip along its center circle, all the time imagining that the strip can go through itself
get some pen and paper and tape, cut out some strips, do the experiment. these are spaces, not presheaves, you cannot understand them by just philosophizing about them