How to prove Any curve in space can be written as for a parameter

[persyan]

how to prove Any curve in space can be written as for a parameter

 

[berkeman]

how to prove Any curve in space can be written as for a parameter

Can you provide more details about your question? What part of mathematics are you studying where this question comes up? And "as for a parameter" is not translating very well. Can you give examples of what you are asking about?

 

[persyan]

Can you provide more details about your question? What part of mathematics are you studying where this question comes up? And "as for a parameter" is not translating very well. Can you give examples of what you are asking about?

Any curve in space can be written as for a parameter p(t)
prove it

 

[berkeman]

Again, the translation is not working so well. What branch of mathematics are you studying? Can you provide a link to similar questions and proofs? What methods of proof are you familiar with?

 

[ellipsis]

I think he might be saying, any curve in 3 dimensions can be represented as a system of parametric equations, x(t), y(t), z(t). Which is a non-trivial result - in fact, I don't think that's even true.

 

[persyan]

I think he might be saying, any curve in 3 dimensions can be represented as a system of parametric equations, x(t), y(t), z(t). Which is a non-trivial result - .

you are right
you are better than mentor

 

[berkeman]

you are right
you are better than mentor

At math he definitely is! :D

 

[persyan]

Again, the translation is not working so well. What branch of mathematics are you studying? Can you provide a link to similar questions and proofs? What methods of proof are you familiar with?

Any curve in space can be written as p(t)
for a parameter t
its used to prove the gradient is normal to the curve

 

[berkeman]

Any curve in space can be written as p(t)
for a parameter t
its used to prove the gradient is normal to the curve

Can you show an example of finding the gradient for a curve? What kind of curve? Like equipotential lines?

 

[persyan]

Can you show an example of finding the gradient for a curve? What kind of curve? Like equipotential lines?

why don't you answer main question
prove
Any curve in space can be written
parameteric

 

[berkeman]

why don't you answer main question
prove
Any curve in space can be written
parameteric

Because the PF rules require that you show effort. Especially if this is a schoolwork question, which many of the Mentors believe it is. You need to show some effort, and tell us what this question is for, or this thread will be locked.

 

[Mark44]

why don't you answer main question
prove
Any curve in space can be written
parameteric

This is why -- (see Homework Guidelines at https://www.physicsforums.com/threads/physics-forums-global-guidelines.414380/)

Giving Full Answers:
On helping with questions: Any and all assistance given to homework assignments or textbook style exercises should be given only after the questioner has shown some effort in solving the problem. If no attempt is made then the questioner should be asked to provide one before any assistance is given. Under no circumstances should complete solutions be provided to a questioner, whether or not an attempt has been made.

Thread closed.