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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 α and β. 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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