# smooth curve

## smooth curve

[¦smüth′kərv]
(mathematics)
The range of a function from a closed interval to a Euclidean space such that each of the Cartesian coordinates of the image point is a continuously differentiable function on the closed interval.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in classic literature ?
His forehead was too lofty--unusually so--and under it there was a straight nose, lost between the hairless cheeks, that in a smooth curve ran into a chin shaped like the end of a snow-shoe.
Fold the facing toward the bodice wrong side, gently pushing out each scallop into a smooth curve; press.
People like me normally draw a nice, smooth curve in economics 101 to represent that relationship.
The awe-inspiring architectural wonder with a dynamic twisting shape spirals in a smooth curve by an astonishing 90 degrees to give every apartment a stunning view of the Arabian Sea or Dubai Marina.
We denote by [K.sub.d] a smooth curve defined by X[Y.sup.d-1] + Y[Z.sup.d-1] + Z[X.sup.d-1] = 0 (In [3], [K.sub.d] is called Klein curve of degree d).
Let [OMEGA] be a doubly connected domain and [partial derivative][OMEGA]0 = [L.sub.0] [union] [L.sub.1] be the smooth boundary of [OMEGA], where [L.sub.0] is the outer smooth curve and [L.sub.1] is the inner smooth curve.
"The antenna reduces the generation of higher order modes and reduces VSWR to produce a very smooth curve over the entire frequency range," says Gray.
The bottom quarter is a smooth curve, bowl-like, but the remainder consists of tapering rows of crackle and smoother rings, like threads on a screw, which, in fact, the sculpture resembles.
In [18], to guarantee that the homotopy smooth curve is diffeomorphic to a unit interval (0,1], we need to prove that the matrix
Finally, monthly mean runoff was calculated from the smooth curve pattern.
For all integers d, g with d [less than or equal to] 16 and 1 [less than or equal to] g [less than or equal to] 3 W does not contain any smooth curve C of genus g and degree d with dim((C)) = 3.

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