Note that this integral is invariant with respect to changes in the parametric representation of " C ".
2.
Where " \ times " denotes the parametric representation of " just one " streamline at one moment in time.
3.
Inserting the parametric representation of \ varepsilon _ 3 into the equations of \ varepsilon _ 1 und \ varepsilon _ 2 yields the parameters s _ 1 und s _ 2.
4.
The first two types are known as analytic, or non-parametric, representations of curves; when compared to parametric representations for use in CAD applications, non-parametric representations have shortcomings.
5.
The first two types are known as analytic, or non-parametric, representations of curves; when compared to parametric representations for use in CAD applications, non-parametric representations have shortcomings.
6.
In particular, the non-parametric representation depends on the choice of the coordinate system and does not lend itself well to geometric transformations, such as rotations, translations, and scaling; non-parametric representations therefore make it more difficult to generate points on a curve.
7.
In particular, the non-parametric representation depends on the choice of the coordinate system and does not lend itself well to geometric transformations, such as rotations, translations, and scaling; non-parametric representations therefore make it more difficult to generate points on a curve.
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