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 3 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
 3 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

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anilorap
 3 years ago
Best ResponseYou've already chosen the best response.0what u mean elaborate?

Stom
 3 years ago
Best 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?

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

anilorap
 3 years ago
Best ResponseYou've already chosen the best response.0tangent 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.

anilorap
 3 years ago
Best ResponseYou've already chosen the best response.0Because 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.

anilorap
 3 years ago
Best ResponseYou've already chosen the best response.0the 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

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

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

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

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

anilorap
 3 years ago
Best ResponseYou've already chosen the best response.0oh wow.... well thanks for trying tho

Stom
 3 years ago
Best ResponseYou've already chosen the best response.0cooal 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

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

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

anilorap
 3 years ago
Best ResponseYou've already chosen the best response.0yes... what is this site about?

mathmate
 3 years ago
Best ResponseYou've already chosen the best response.1I 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?

anilorap
 3 years ago
Best ResponseYou've already chosen the best response.0if 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

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

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

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

mathmate
 3 years ago
Best ResponseYou've already chosen the best response.1How is the tangent space defined?

mathmate
 3 years ago
Best ResponseYou've already chosen the best response.1Can 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?

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

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

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