anonymous
  • anonymous
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
Mathematics
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anonymous
  • anonymous
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
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
please elaborate
anonymous
  • anonymous
what u mean elaborate?
anonymous
  • anonymous
"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?

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anonymous
  • anonymous
ok
anonymous
  • anonymous
tangent space as a set of linear approximation of all tangent vectors
anonymous
  • anonymous
tangent vector can be defined at a point in a vector space, as a order of n-tuples 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.
anonymous
  • anonymous
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.
anonymous
  • anonymous
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
anonymous
  • anonymous
so you have to prove all ten?
anonymous
  • anonymous
yea **crying** i have the idea... but no the knowledge
anonymous
  • anonymous
:(
anonymous
  • anonymous
oh wow.. imagine my level.. i am not even in a four year school
anonymous
  • anonymous
i made this class honor,, and now im dying
anonymous
  • anonymous
oh wow.... well thanks for trying tho
anonymous
  • anonymous
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
anonymous
  • anonymous
but that certainly is not the case so sorry , http://maths.stackexchange.com/
anonymous
  • anonymous
what do u mean storm?
anonymous
  • anonymous
i mean its too high level
anonymous
  • anonymous
PS did u check that site PSS my name is stom, without any r
anonymous
  • anonymous
yes
anonymous
  • anonymous
its a cool, site isnt it
anonymous
  • anonymous
yes... what is this site about?
mathmate
  • mathmate
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?
anonymous
  • anonymous
the clousures
anonymous
  • anonymous
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
anonymous
  • anonymous
that site is about asking hard question in maths
mathmate
  • mathmate
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?
anonymous
  • anonymous
i didnt start yet.. i dont know how... because they are not vector spaces anymore,,, they are tangent spaces
mathmate
  • mathmate
How is the tangent space defined?
anonymous
  • anonymous
i defined them above
mathmate
  • mathmate
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?
anonymous
  • anonymous
oh wow those are the axioms....if i could give u examples i will be able to prove
mathmate
  • mathmate
How do you define the tangent vectors, by directional derivatives?
mathmate
  • mathmate
I suggest you repost as: "linear transformation between tangent spaces" and perhaps someone else can better spot your post.

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