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tilt curve

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53A05 no label found53A04 no label found51M04 no label found

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I have chosen the name "tilt curve", but it's probable that it is not correct. Is there some old official term for that concept?

Well pahio, I didn't know such a denomination but I suspect there are several names to designate those "tilt curves". I think depending on the matter. For examples:
- In fluid mechanics you have the potential of velocities $\phi(x,y,z)=C$, similar to level surfaces composed by level curves, and the stream-function $\psi(x,y,z)=K$ composed by the stramlines (velocity field is tangent to them).

- In PDE theory those "tilt functions" are named characteristics, which are essential to study the behavior (in general locally) of the PDE.

But for sure there are a lot of another applications, for instance, in theoretical Physics.
peruchin

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