Parameterization of a curve












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A general question: Does every (continuous) curve in space necessary have a parametrization? (even if we cannot find it or express it?)










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  • 2




    $begingroup$
    How do you define “curve”?
    $endgroup$
    – José Carlos Santos
    Jan 8 at 20:12
















0












$begingroup$


A general question: Does every (continuous) curve in space necessary have a parametrization? (even if we cannot find it or express it?)










share|cite|improve this question









$endgroup$








  • 2




    $begingroup$
    How do you define “curve”?
    $endgroup$
    – José Carlos Santos
    Jan 8 at 20:12














0












0








0





$begingroup$


A general question: Does every (continuous) curve in space necessary have a parametrization? (even if we cannot find it or express it?)










share|cite|improve this question









$endgroup$




A general question: Does every (continuous) curve in space necessary have a parametrization? (even if we cannot find it or express it?)







calculus analysis parametrization






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asked Jan 8 at 20:08









alexander_yzalexander_yz

165




165








  • 2




    $begingroup$
    How do you define “curve”?
    $endgroup$
    – José Carlos Santos
    Jan 8 at 20:12














  • 2




    $begingroup$
    How do you define “curve”?
    $endgroup$
    – José Carlos Santos
    Jan 8 at 20:12








2




2




$begingroup$
How do you define “curve”?
$endgroup$
– José Carlos Santos
Jan 8 at 20:12




$begingroup$
How do you define “curve”?
$endgroup$
– José Carlos Santos
Jan 8 at 20:12










1 Answer
1






active

oldest

votes


















0












$begingroup$

Yes. You can write the coordinates as a function of a distance along the curve from a given point.






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$endgroup$













  • $begingroup$
    Thank you, sir. May I ask another question?
    $endgroup$
    – alexander_yz
    Jan 8 at 20:58










  • $begingroup$
    Sure. If it is not related ask it separately
    $endgroup$
    – Andrei
    Jan 8 at 21:04










  • $begingroup$
    I've asked a question yesterday and nobody has managed to answer it, I'd be thankful if you can give me a direction to the right way of thinking. Here's the link math.stackexchange.com/questions/3065245/…
    $endgroup$
    – alexander_yz
    Jan 8 at 21:33











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1 Answer
1






active

oldest

votes








1 Answer
1






active

oldest

votes









active

oldest

votes






active

oldest

votes









0












$begingroup$

Yes. You can write the coordinates as a function of a distance along the curve from a given point.






share|cite|improve this answer









$endgroup$













  • $begingroup$
    Thank you, sir. May I ask another question?
    $endgroup$
    – alexander_yz
    Jan 8 at 20:58










  • $begingroup$
    Sure. If it is not related ask it separately
    $endgroup$
    – Andrei
    Jan 8 at 21:04










  • $begingroup$
    I've asked a question yesterday and nobody has managed to answer it, I'd be thankful if you can give me a direction to the right way of thinking. Here's the link math.stackexchange.com/questions/3065245/…
    $endgroup$
    – alexander_yz
    Jan 8 at 21:33
















0












$begingroup$

Yes. You can write the coordinates as a function of a distance along the curve from a given point.






share|cite|improve this answer









$endgroup$













  • $begingroup$
    Thank you, sir. May I ask another question?
    $endgroup$
    – alexander_yz
    Jan 8 at 20:58










  • $begingroup$
    Sure. If it is not related ask it separately
    $endgroup$
    – Andrei
    Jan 8 at 21:04










  • $begingroup$
    I've asked a question yesterday and nobody has managed to answer it, I'd be thankful if you can give me a direction to the right way of thinking. Here's the link math.stackexchange.com/questions/3065245/…
    $endgroup$
    – alexander_yz
    Jan 8 at 21:33














0












0








0





$begingroup$

Yes. You can write the coordinates as a function of a distance along the curve from a given point.






share|cite|improve this answer









$endgroup$



Yes. You can write the coordinates as a function of a distance along the curve from a given point.







share|cite|improve this answer












share|cite|improve this answer



share|cite|improve this answer










answered Jan 8 at 20:09









AndreiAndrei

11.8k21026




11.8k21026












  • $begingroup$
    Thank you, sir. May I ask another question?
    $endgroup$
    – alexander_yz
    Jan 8 at 20:58










  • $begingroup$
    Sure. If it is not related ask it separately
    $endgroup$
    – Andrei
    Jan 8 at 21:04










  • $begingroup$
    I've asked a question yesterday and nobody has managed to answer it, I'd be thankful if you can give me a direction to the right way of thinking. Here's the link math.stackexchange.com/questions/3065245/…
    $endgroup$
    – alexander_yz
    Jan 8 at 21:33


















  • $begingroup$
    Thank you, sir. May I ask another question?
    $endgroup$
    – alexander_yz
    Jan 8 at 20:58










  • $begingroup$
    Sure. If it is not related ask it separately
    $endgroup$
    – Andrei
    Jan 8 at 21:04










  • $begingroup$
    I've asked a question yesterday and nobody has managed to answer it, I'd be thankful if you can give me a direction to the right way of thinking. Here's the link math.stackexchange.com/questions/3065245/…
    $endgroup$
    – alexander_yz
    Jan 8 at 21:33
















$begingroup$
Thank you, sir. May I ask another question?
$endgroup$
– alexander_yz
Jan 8 at 20:58




$begingroup$
Thank you, sir. May I ask another question?
$endgroup$
– alexander_yz
Jan 8 at 20:58












$begingroup$
Sure. If it is not related ask it separately
$endgroup$
– Andrei
Jan 8 at 21:04




$begingroup$
Sure. If it is not related ask it separately
$endgroup$
– Andrei
Jan 8 at 21:04












$begingroup$
I've asked a question yesterday and nobody has managed to answer it, I'd be thankful if you can give me a direction to the right way of thinking. Here's the link math.stackexchange.com/questions/3065245/…
$endgroup$
– alexander_yz
Jan 8 at 21:33




$begingroup$
I've asked a question yesterday and nobody has managed to answer it, I'd be thankful if you can give me a direction to the right way of thinking. Here's the link math.stackexchange.com/questions/3065245/…
$endgroup$
– alexander_yz
Jan 8 at 21:33


















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