Description of $C^0$ curve

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Suppose there is a curve that is already parametrized.



It is called $C^0$ continuity because there is a kink.



There are three places. which are $C^0$ $C^1$ $C^0$ respectively.



Here are the questions.



  1. Can we say "it is $C^2$ if we didn't consider those three place"?


  2. We have terminology "kink" to say $C^0$ place.
    What is the terminology to say $C^1$ place?







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  • What's a "place" and what does it mean for it to be $C^k$?
    – Saucy O'Path
    Aug 24 at 1:24










  • @SaucyO'Path I have data and I use a curve to interpolate this data by connecting data one by one using the line. Then I have the curve, but the curve shows an obvious kink. The curve is drawn in (X,Y) coordinate. The place means (x,y) where the kink occurs.
    – ytyyutianyun
    Aug 24 at 1:58















up vote
0
down vote

favorite












Suppose there is a curve that is already parametrized.



It is called $C^0$ continuity because there is a kink.



There are three places. which are $C^0$ $C^1$ $C^0$ respectively.



Here are the questions.



  1. Can we say "it is $C^2$ if we didn't consider those three place"?


  2. We have terminology "kink" to say $C^0$ place.
    What is the terminology to say $C^1$ place?







share|cite|improve this question






















  • What's a "place" and what does it mean for it to be $C^k$?
    – Saucy O'Path
    Aug 24 at 1:24










  • @SaucyO'Path I have data and I use a curve to interpolate this data by connecting data one by one using the line. Then I have the curve, but the curve shows an obvious kink. The curve is drawn in (X,Y) coordinate. The place means (x,y) where the kink occurs.
    – ytyyutianyun
    Aug 24 at 1:58













up vote
0
down vote

favorite









up vote
0
down vote

favorite











Suppose there is a curve that is already parametrized.



It is called $C^0$ continuity because there is a kink.



There are three places. which are $C^0$ $C^1$ $C^0$ respectively.



Here are the questions.



  1. Can we say "it is $C^2$ if we didn't consider those three place"?


  2. We have terminology "kink" to say $C^0$ place.
    What is the terminology to say $C^1$ place?







share|cite|improve this question














Suppose there is a curve that is already parametrized.



It is called $C^0$ continuity because there is a kink.



There are three places. which are $C^0$ $C^1$ $C^0$ respectively.



Here are the questions.



  1. Can we say "it is $C^2$ if we didn't consider those three place"?


  2. We have terminology "kink" to say $C^0$ place.
    What is the terminology to say $C^1$ place?









share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Aug 24 at 1:02

























asked Aug 24 at 1:01









ytyyutianyun

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1276











  • What's a "place" and what does it mean for it to be $C^k$?
    – Saucy O'Path
    Aug 24 at 1:24










  • @SaucyO'Path I have data and I use a curve to interpolate this data by connecting data one by one using the line. Then I have the curve, but the curve shows an obvious kink. The curve is drawn in (X,Y) coordinate. The place means (x,y) where the kink occurs.
    – ytyyutianyun
    Aug 24 at 1:58

















  • What's a "place" and what does it mean for it to be $C^k$?
    – Saucy O'Path
    Aug 24 at 1:24










  • @SaucyO'Path I have data and I use a curve to interpolate this data by connecting data one by one using the line. Then I have the curve, but the curve shows an obvious kink. The curve is drawn in (X,Y) coordinate. The place means (x,y) where the kink occurs.
    – ytyyutianyun
    Aug 24 at 1:58
















What's a "place" and what does it mean for it to be $C^k$?
– Saucy O'Path
Aug 24 at 1:24




What's a "place" and what does it mean for it to be $C^k$?
– Saucy O'Path
Aug 24 at 1:24












@SaucyO'Path I have data and I use a curve to interpolate this data by connecting data one by one using the line. Then I have the curve, but the curve shows an obvious kink. The curve is drawn in (X,Y) coordinate. The place means (x,y) where the kink occurs.
– ytyyutianyun
Aug 24 at 1:58





@SaucyO'Path I have data and I use a curve to interpolate this data by connecting data one by one using the line. Then I have the curve, but the curve shows an obvious kink. The curve is drawn in (X,Y) coordinate. The place means (x,y) where the kink occurs.
– ytyyutianyun
Aug 24 at 1:58
















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