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 curves - Definition 

List of curves (2833 bytes)
3: ==Classical curves==
58: ==Curves of [[mathematical analysis]]==

Fundamental theorem of curves (993 bytes)
5: If a pair of curves are in different positions but have the same curv...
8: [[Category:Curves]]

Dangerous Curves (movie) (554 bytes)

Differential geometry of curves (14390 bytes)
1: ...rovides definitions and methods to analyze smooth curves in [[Riemannian manifold]]s and [[Pseudo-Riemann...
7: ...s have been studied thoroughly: see the [[list of curves]] for details. The main contemporary application ...
9: To simplify the presentation we only consider curves in [[Euclidean space]],
10: ...y [[topological space]] see the main article on [[curves]].
20: ...cribed by several different ''C''<sup>''r''</sup> curves.

Curves in differential geometry (1571 bytes)
31: is a different curve but the image of both curves is the same line.

Hasse's theorem on elliptic curves (549 bytes)
1: ...n [[mathematics]], '''Hasse's theorem on elliptic curves''' bounds the number of points on an elliptic cur...
7: [[category: algebraic curves]]

Spectral reflectance (506 bytes)
1: [[Image:ReflCurve.png|left|2 blue reflectance curves]]
3: '''Spectral reflectance''' curves are generated by [[Spectrophotometry|spectrophoto...
5: By analyzing the differences in the curves of your color samples you can tell how well 2 col...

French curve (206 bytes)
1: ... and composed of successive segments of geometric curves.

Hyperelliptic curve cryptography (1355 bytes)
3: ...y implemented cryptosystem based on hyperelliptic curves can be more secure than elliptic curve based cryp...
5: The hyperelliptic curves used are typically of the sort <math>y^2 = f(x) \...

Transcendental curve (1401 bytes)
1: ...rve]]s and [[elliptic function]]s; and in fact to curves of [[genus (mathematics)|genus]] > 1 and [[automo...
3: ...idal]] curves, therefore; but to large classes of curves showing oscillations.
5: Other examples of transcendental curves are plots of [[Cycloid]]s, and the [[Exponential]...

Conchoid of de Sluze (1496 bytes)
1: ...conchoid(s) of de Sluze''' is a family of plane [[curves]] studied in [[1662]] by [[René François Walter]]...
26: *[http://www.2dcurves.com/cubic/cubiccs.html 2D Curves]
27: ...-and.ac.uk/~history/Curves/Conchoidsl.html Famous Curves] (includes a scaling factor)
29: [[Category:Curves]]

Algebraic curve (1950 bytes)
7: .... This can serve as a definition of the genus for curves over other fields.
12: [[Category:Curves]]
13: [[Category:Algebraic curves|*]]

Cissoid (1574 bytes)
1: ...]] derived from a fixed point ''O'' and two other curves &alpha; and &beta;. Every line through ''O'' cutt...
3: ... and <math>r=\beta(\theta)</math> express the two curves then <math>r=\frac12(\beta(\theta)+\alpha(\theta)...
17: *[http://www.2dcurves.com/derived/cissoid.html 2D Curves]
20: [[Category:Curves]]

Modular curve (2634 bytes)
8: ...s with a given basis for the ''N''-torsion. These curves have been studied in great detail.
10: Modular curves of [[genus (mathematics)|genus]] 0, which are qui...
12: ...s [[correspondence]]s connecting pairs of modular curves.
20: [[Category: Algebraic curves]][[Category:Modular forms]]

Debbe Dunning (468 bytes)
1: ...m|1988]]'s ''[[Dangerous Curves (movie)|Dangerous Curves]]'' (in which she was credited as "Debra Dunning"...

Stack (category theory) (1937 bytes)
1: ...[[Mumford]] on the compactifications of moduli of curves; such stacks are now called [[Deligne-Mumford sta...
8: ...admitting nontrivial automorphisms. For elliptic curves over the [[complex number]]s the corresponding st...

Curve of constant width (2764 bytes)
5: ... parallel line segments (supporting lines) around curves of constant width by definition.
10: A basic result on curves of constant width is [[Barbier's theorem]], which...
14: ...ateral triangle, have many similar properties to curves of constant width.
15: ...f space curves of constant width, which are space curves whose normal planes intersect them at exactly two...

Brill-Noether theory (1658 bytes)
1: ... of the theory is to 'count constants', for those curves: to predict the dimension of the space of special...

Solid of revolution (1964 bytes)
12: ...the solid formed by rotating the area between the curves of <math>f(x)</math> and <math>g(x)</math> and th...
16: If one of the bounding curves is actually the ''x''-axis, then we can let <math...
21: ...the solid formed by rotating the area between the curves of <math>f(x)</math> and <math>g(x)</math> and th...
29: if one of the bounding curves is actually the ''x''-axis.

Rose (mathematics) (794 bytes)
8: ...d.wolfram.com/Rose.html Mathworld article on rose curves]
10: [[Category:Curves]]

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This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "curves".