An instructive exercise for students is to animate linear combinations of pairs of the curves to
see how the behavior of the curves changes.
Ravani and Ku transported the notion of Bertrand curves to
the ruled surfaces and called them Bertrand offsets .
The agencies could apply strategies used only at some curves to
those with similar characteristics.
Fitting many curves to
the same data to discover which fits the data best may result in making too many statistical tests.
Incidentally, "big" and "small" depend on the sizes and proportions of the curves to
These data were used to compare run-to-run variability for individual run-specific calibration curves to
variability for an average fixed calibration curve.
"The addition of curves to
our Prospector Web database provides the database with a new dimension of usability that will directly impact our customers."
In addition, for any hypothesis there is no a priori way to generate the right family of curves to
which the hypothesis belongs.
In the light of the available literature, in  the author extended spherical images of curves to
a four-dimensional Lorentzian space and studied such curves in the case where the base curve is a space-like curve according to the signature (+, +, +,-).
One might have a criterion that sometimes picks less bumpy curves over bumpier ones, but that still leaves us with too many of the relatively unbumpy curves to