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

- anonymous

- jamiebookeater

I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this

and **thousands** of other questions

- anonymous

please elaborate

- anonymous

what u mean elaborate?

- 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?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

## More answers

- anonymous

ok

- anonymous

tangent space as a set of linear approximation of all tangent vectors

- 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

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

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

so you have to prove all ten?

- anonymous

yea **crying**
i have the idea... but no the knowledge

- anonymous

:(

- anonymous

oh wow.. imagine my level.. i am not even in a four year school

- anonymous

i made this class honor,, and now im dying

- anonymous

oh wow.... well thanks for trying tho

- 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

but that certainly is not the case so sorry ,
http://maths.stackexchange.com/

- anonymous

what do u mean storm?

- anonymous

i mean its too high level

- anonymous

PS
did u check that site
PSS my name is stom, without any r

- anonymous

yes

- anonymous

its a cool, site isnt it

- anonymous

yes... what is this site about?

- 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

the clousures

- 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

that site is about asking hard question in maths

- 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

i didnt start yet.. i dont know how... because they are not vector spaces anymore,,, they are tangent spaces

- mathmate

How is the tangent space defined?

- anonymous

i defined them above

- 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

oh wow those are the axioms....if i could give u examples i will be able to prove

- mathmate

How do you define the tangent vectors, by directional derivatives?

- mathmate

I suggest you repost as:
"linear transformation between tangent spaces" and perhaps someone else can better spot your post.

Looking for something else?

Not the answer you are looking for? Search for more explanations.