Given a real vector space, I understand the significance of defining a complex structure. Now, if J is a complex structure on a real vector space, and we find an anti-commuting complex structure I, so that we have I, J, and K=IJ, what are some interesting properties that we have now on our...
Well, I understood up to hyperkahler manifolds..
I'm participating in an REU and I think I'm venturing too far from my knowledge. Either way thank you for your explanations!
Say we complex structure J on a space with even dimension. Is there a trick to finding another complex stucture I that anti-commutes with J?
Moreover I'm that these be integrable complex structres. Any ideas?
I haven't taken that many courses besides Stat 1 and Mathematical Statistics. Just by these two classes though, it seems boring! So far, I've been most interest in Algebraic Structures and Geometry. But I'm mostly interest in having a good paying job after I complete my masters.
But if I...
My school offers a Masters in mathematics with a track in Risk Manegement and Analysis. I'm assuming these are general courses related to finance..
Besides being a "quant," (which seems dreadful since programming is probably my least favorite thing to do) what are some math related job...
I'm an undergrad in college and I've been studying pure math for some time now. I do not really like the job outlook that this path is taking me. My school offers a Masters program in Math Finance (Stochastic Calc and all that). It seems that this more applied field has a greater job outlook...
Can someone please describe to me how Euclidean Geometry is connected to the complex plane? Angles preservations, distance, Mobius Transformations, isometries, anything would be nice.
Also, how can hyperbolic geometry be described with complex numbers?
I have some questions concerning the nine geometries of the plane and their physical significance.
(Euclidean, Hyperbolic, Elliptical, Minkowski, anti-Minkowski, Galilean,
For starters, what are some of the limitations or problems we encounter when using Euclidean geometry in physics...
Okay, so everytime I see post like that, that means someone took there time to type up there post like that?? I figured there was an easier way to do it lol
Well I don't mean just symbols and greek letters...
Like how would i get {a_n} to appear with the n as an subscript or like a square root to appear instead of typing sqrt(x) or whatever?
I am just posting this because my prof sent me an email with weird letters and I want to see if i can read it here...Please disregard unless you can tell me where I can go to copy and paste this so it makes sense
WLOG assume both secuences are bounded by the same number M > 0. Then, choose...
Ahhhh, I know. I'm just used to acing everything math related -_-
I'm definitely giving it a second try this coming fall semester and imma bother all these professors until I start acing this too. (I got the "Imnotgonnaletnopunkassmathclassbeatme" mentality haha)