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need help with heavy stuff. I am defining the derivative as a linear transformation between tangent spaces. so im defining tangent spaces which i need to prove the ten axioms.. need help please
 2 years ago
 2 years ago
need help with heavy stuff. I am defining the derivative as a linear transformation between tangent spaces. so im defining tangent spaces which i need to prove the ten axioms.. need help please
 2 years ago
 2 years ago

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anilorapBest ResponseYou've already chosen the best response.0
what u mean elaborate?
 2 years ago

StomBest ResponseYou've already chosen the best response.0
"I am defining the derivative as a linear transformation between tangent spaces. so im defining tangent spaces which i need to prove the ten axioms" does it make any sense to you?
 2 years ago

anilorapBest ResponseYou've already chosen the best response.0
tangent space as a set of linear approximation of all tangent vectors
 2 years ago

anilorapBest ResponseYou've already chosen the best response.0
tangent vector can be defined at a point in a vector space, as a order of ntuples v_p= 〖{a_(1,)…,a_(n,)}〗_p in which exist a parameterized curve c:I→R^n which derivative at 0 have the property c(0)=p and c^' (0)=v_p=〖{a_(1,)…,a_(n,)}〗_p.
 2 years ago

anilorapBest ResponseYou've already chosen the best response.0
Because in the world of tangent spaces we are working with the properties of vector spaces, vectors in the tangent spaces must satisfy the two operations: i) Vector addition. ii) Scalar multiplication and 10 axioms.
 2 years ago

anilorapBest ResponseYou've already chosen the best response.0
the first one, i need to prove that when i take two vector spaces in a tangent space and i add them, their sum must be also in the tangent space
 2 years ago

lawnphysicsBest ResponseYou've already chosen the best response.0
so you have to prove all ten?
 2 years ago

anilorapBest ResponseYou've already chosen the best response.0
yea **crying** i have the idea... but no the knowledge
 2 years ago

anilorapBest ResponseYou've already chosen the best response.0
oh wow.. imagine my level.. i am not even in a four year school
 2 years ago

anilorapBest ResponseYou've already chosen the best response.0
i made this class honor,, and now im dying
 2 years ago

anilorapBest ResponseYou've already chosen the best response.0
oh wow.... well thanks for trying tho
 2 years ago

StomBest ResponseYou've already chosen the best response.0
cooal stuff there, if only i had no reason to celebrate life would i go to wikipedia and sit for the next 2 hours to grasp what tangent spaces are and answer your question
 2 years ago

StomBest ResponseYou've already chosen the best response.0
but that certainly is not the case so sorry , http://maths.stackexchange.com/
 2 years ago

StomBest ResponseYou've already chosen the best response.0
PS did u check that site PSS my name is stom, without any r
 2 years ago

anilorapBest ResponseYou've already chosen the best response.0
yes... what is this site about?
 2 years ago

mathmateBest ResponseYou've already chosen the best response.1
I thought there are only 8 axioms to verify a vector space, four for addition and four for multiplication. Can you tell me the two others?
 2 years ago

anilorapBest ResponseYou've already chosen the best response.0
if u and v are in W then u + v is in W if u is in W and k is any scalar then ku is in W
 2 years ago

StomBest ResponseYou've already chosen the best response.0
that site is about asking hard question in maths
 2 years ago

mathmateBest ResponseYou've already chosen the best response.1
So you must have worked on other vector spaces before, have you started on the axioms yet? Which one(s) do you have problems with?
 2 years ago

anilorapBest ResponseYou've already chosen the best response.0
i didnt start yet.. i dont know how... because they are not vector spaces anymore,,, they are tangent spaces
 2 years ago

mathmateBest ResponseYou've already chosen the best response.1
How is the tangent space defined?
 2 years ago

mathmateBest ResponseYou've already chosen the best response.1
Can you give examples of some vectors as per the definition? Does the zero vector exist? Does the negative vector exist? Is the zero vector in the space?
 2 years ago

anilorapBest ResponseYou've already chosen the best response.0
oh wow those are the axioms....if i could give u examples i will be able to prove
 2 years ago

mathmateBest ResponseYou've already chosen the best response.1
How do you define the tangent vectors, by directional derivatives?
 2 years ago

mathmateBest ResponseYou've already chosen the best response.1
I suggest you repost as: "linear transformation between tangent spaces" and perhaps someone else can better spot your post.
 2 years ago
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