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- ...nal groups in Quercus species derived from the analysis of pressure–volume curves |journal=Trees |date=September 2002 |volume=16 |issue=7 |pages=465–472 |doi ...l=https://prometheusprotocols.net/function/water-relations/pressure-volume-curves/leaf-pressure-volume-curve-parameters/ |access-date=2025-01-30 |website=PRO ...3 KB (421 words) - 03:40, 30 January 2025
- ...stein|Bernstein]], Lange, and Kohel.<ref>{{cite web |title=Twisted Hessian curves |url=http://hyperelliptic.org/EFD/g1p/auto-twistedhessian.html |accessdate= ...curves]], and Hessian curves are just the special case of twisted Hessian curves in which {{Math|1=''a'' = 1}}. ...7 KB (1,032 words) - 20:45, 23 December 2024
- {{Short description|Mathematical curves that are isomorphic over algebraic closures}} ...curves is an [[isogeny]] of degree 1, that is an invertible isogeny. Some curves have higher order twists such as '''cubic''' and '''quartic twists'''. The ...8 KB (1,250 words) - 04:50, 30 November 2024
- ...er fields of large characteristic, in particular ''p'' > 3. For curves over fields of small characteristic more efficient algorithms based on ''p' ==Approaches to counting points on elliptic curves== ...14 KB (2,262 words) - 21:37, 30 December 2023
- ...ce spans over a century because of the various generalizations of elliptic curves as the field has developed. All of these generalizations are contained in < ...over <math>\text{Spec}(\mathbb{Z})</math>, but is not a scheme as elliptic curves have non-trivial automorphisms. ...14 KB (2,264 words) - 21:44, 22 September 2024
- In [[mathematics]], '''[[singular integral operators]] on closed curves''' arise in problems in [[analysis]], in particular [[complex analysis]] an ...smooth boundary provided the L<sup>2</sup> norms are taken over the level curves in a tubular neighbourhood of the boundary.<ref>{{harvnb|Bell|1992|pp=19–20 ...29 KB (4,615 words) - 04:40, 30 November 2024
- ...nal operations. The rows of the table are for different models of elliptic curves. These are the operations considered: ...ter the table. For information about other possible operations on elliptic curves see http://hyperelliptic.org/EFD/g1p/index.html. ...6 KB (855 words) - 10:50, 29 September 2024
- In [[algebraic geometry]], '''Cramer's theorem on algebraic curves''' gives the [[necessary and sufficient]] number of points in the real [[pl ...6 KB (1,017 words) - 09:34, 12 May 2024
Page text matches
- [[File:Steinmetz-kurve.svg|300px|thumb|Steinmetz curves for various cases]] ...|thumb|Steinmetz solid (intersection of two cylinders) involving Steinmetz curves (purple)]] ...2 KB (262 words) - 17:20, 1 June 2024
- ...orphisms, necessitating the construction of the [[Moduli stack of elliptic curves]]. | title = Arithmetic moduli of elliptic curves ...2 KB (343 words) - 12:52, 8 November 2024
- ...ted component (topology)|connected components]]. This property gives these curves a [[tree (graph theory)|tree]]-like structure, hence their name. They were | contribution = Tree-like curves ...3 KB (330 words) - 21:22, 29 January 2025
- ...''<sup>''n''</sup> of maximal genus ''g'' among irreducible non-degenerate curves of given degree ''d''. Castelnuovo described the curves satisfying this bound, showing in particular that they lie on either a rati ...1 KB (166 words) - 15:19, 14 October 2015
- ...ry]], the '''space of directions''' at a point describes the directions of curves that start at the point. It generalizes the [[tangent space]] in a [[differ ...'d'') be a [[metric space]]. First we define the '''upper angle''' for two curves starting at the same point in ''M''. So let ...3 KB (427 words) - 21:02, 9 June 2020
- ...[moduli space of algebraic curves]] of [[genus (mathematics)|genus]] ''g'' curves over some [[scheme (algebraic geometry)|scheme]]. The '''Hodge bundle''' <m | title=Moduli of curves ...3 KB (363 words) - 15:59, 30 June 2019
- ...rch and Swinnerton-Dyer conjecture]] for a positive proportion of elliptic curves. ...2 KB (303 words) - 00:31, 15 May 2024
- {{short description|1=Family of curves of the form r^n = a^n cos(nθ)}} In [[algebraic geometry]], the '''sinusoidal spirals''' are a family of curves defined by the equation in [[polar coordinates]] ...4 KB (587 words) - 06:52, 6 April 2024
- [[File:Bezier curves.png|thumb|right|Sample curves (red) with their polygons (grey).]] == Variation diminishing property for Bézier curves == ...4 KB (541 words) - 12:54, 21 November 2023
- {{Short description|Mathematical invariants used to classify plane curves}} ...^-</math>, and <math>St</math>—provide ways to classify and understand how curves can be deformed while preserving certain properties.<ref name="mai2022">Mai ...6 KB (894 words) - 01:07, 26 February 2025
- ...stein|Bernstein]], Lange, and Kohel.<ref>{{cite web |title=Twisted Hessian curves |url=http://hyperelliptic.org/EFD/g1p/auto-twistedhessian.html |accessdate= ...curves]], and Hessian curves are just the special case of twisted Hessian curves in which {{Math|1=''a'' = 1}}. ...7 KB (1,032 words) - 20:45, 23 December 2024
- Given four [[space]] curves ''c''<sub>0</sub>(''s''), ''c''<sub>1</sub>(''s''), ''d''<sub>0</sub>(''t'' ...urfaces to be joined, leading to creases in the joined surface along those curves. To fix this problem, the linear interpolation can be replaced with [[cubic ...3 KB (413 words) - 08:42, 19 July 2024
- ...valuation ring]].<ref>J. H. Silverman (1986). ''The arithmetic of elliptic curves''. Springer. p. 21</ref> This valuation will show a way to count the order ...e multiplicities of zeroes and poles of rational functions defined on such curves. In this last case, say that the germ of the regular function <math>f</math ...3 KB (596 words) - 01:40, 7 January 2023
- The classic [[Spirograph]] toy traces out these curves. [[Category:Plane curves]] ...1 KB (215 words) - 15:16, 28 August 2024
- ==Curves== ...2 KB (287 words) - 05:50, 22 June 2022
- {{Short description|Theorem that curves of bounded curvature contain a unit disk}} ...hitz continuity|Lipschitz condition]] on the derivative),{{r|acmv}} and to curves of bounded convex curvature (each point of the curve touches a unit disk th ...5 KB (584 words) - 18:45, 11 January 2024
- ...ts. They play a central role in the study of [[counting points on elliptic curves]] in [[Schoof's algorithm]]. ...is heavily used in [[Schoof's algorithm]] for counting points on elliptic curves. ...5 KB (844 words) - 14:19, 28 December 2023
- ...to 1-dimensional [[orbifold]]s and therefore sometimes called '''orbifold curves''' or '''orbicurves'''. ...rend |first2=Behrang |last2=Noohi |title=Uniformization of Deligne-Mumford curves |journal=[[Crelle's Journal|J. Reine Angew. Math.]] |volume=599 |year=2006 ...5 KB (631 words) - 04:00, 1 March 2024
- ...of order 5 is a Catanese surface. Catanese found a 4-dimensional family of curves constructed like this. ...2 KB (253 words) - 23:58, 10 September 2024
- ...and {{pi}} has degree ''d''.<ref>Joe Harris and Ian Morrison. ''Moduli of curves.'' ...385 bytes (56 words) - 06:58, 29 June 2019