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?)
calculus analysis parametrization
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add a comment |
$begingroup$
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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2
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How do you define “curve”?
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– José Carlos Santos
Jan 8 at 20:12
add a comment |
$begingroup$
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
$endgroup$
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
calculus analysis parametrization
asked Jan 8 at 20:08
alexander_yzalexander_yz
165
165
2
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How do you define “curve”?
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– José Carlos Santos
Jan 8 at 20:12
add a comment |
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
add a comment |
1 Answer
1
active
oldest
votes
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Yes. You can write the coordinates as a function of a distance along the curve from a given point.
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Thank you, sir. May I ask another question?
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– alexander_yz
Jan 8 at 20:58
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Sure. If it is not related ask it separately
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– Andrei
Jan 8 at 21:04
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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/…
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– alexander_yz
Jan 8 at 21:33
add a comment |
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
Yes. You can write the coordinates as a function of a distance along the curve from a given point.
$endgroup$
$begingroup$
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
add a comment |
$begingroup$
Yes. You can write the coordinates as a function of a distance along the curve from a given point.
$endgroup$
$begingroup$
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
add a comment |
$begingroup$
Yes. You can write the coordinates as a function of a distance along the curve from a given point.
$endgroup$
Yes. You can write the coordinates as a function of a distance along the curve from a given point.
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
add a comment |
$begingroup$
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
add a comment |
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$begingroup$
How do you define “curve”?
$endgroup$
– José Carlos Santos
Jan 8 at 20:12