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Longer titles found: Affine geometry of curves (view), Chern's conjecture (affine geometry) (view)

searching for Affine geometry 25 found (121 total)

Homothety (2,042 words) [view diff] no match in snippet view article find links to article

In mathematics, a homothety (or homothecy, or homogeneous dilation) is a transformation of an affine space determined by a point S called its center and

Point at infinity (764 words) [view diff] exact match in snippet view article find links to article

corresponding affine spaces for the reason mentioned above under § Affine geometry, and completions of hyperbolic spaces with ideal points are also not

Upper half-plane (982 words) [view diff] no match in snippet view article find links to article

In mathematics, the upper half-plane, H,{\displaystyle {\mathcal {H}},} is the set of points (x,y){\displaystyle (x,y)} in the Cartesian plane with y>0

General position (1,469 words) [view diff] exact match in snippet view article find links to article

squeeze a circle to an ellipse. Similarly, a parabola is a concept in affine geometry but not in projective geometry, where a parabola is simply a kind of

FEniCS Project (656 words) [view diff] exact match in snippet view article find links to article

built on different (non-matching) meshes, including meshes using non-affine geometry; Ability to non-intrusively support different linear algebra backends

Affine plane (583 words) [view diff] case mismatch in snippet view article find links to article

ISBN 0-387-90227-9 Snapper, Ernst; Troyer, Robert J. (1989) [1971], Metric Affine Geometry, Dover, ISBN 0-486-66108-3 Yale, Paul B. (1968), "Chapter 5 Affine

Francis Buekenhout (192 words) [view diff] exact match in snippet view article find links to article

These largely disregard the concrete axiom systems of a projective or affine geometry and put these and many other incidence geometries into a common framework

Bernd Siebert (563 words) [view diff] exact match in snippet view article find links to article

S2CID 85559977. Gross, Mark; Siebert, Bernd (1 November 2011). "From real affine geometry to complex geometry". Annals of Mathematics. 174 (3): 1301–1428. arXiv:math/0703822

Arend Heyting (477 words) [view diff] exact match in snippet view article find links to article

Co., Amsterdam. Heyting, A. (1959) Axioms for intuitionistic plane affine geometry. The axiomatic method. With special reference to geometry and physics

George Pólya Award (121 words) [view diff] case mismatch in snippet view article find links to article

Isabel M. Serrano, Bogdan Suceavă Eclectic Illuminism: Applications of Affine Geometry 2020 Christopher J. Catone Bringing Calculus into Discrete Math via

Mark Gross (mathematician) (783 words) [view diff] exact match in snippet view article

MR1963559; 2012 reprint [ISBN missing] with B. Siebert: From real affine geometry to complex geometry, Annals of Mathematics, vol. 174, 2011, pp. 1301–1428

Varignon's theorem (1,184 words) [view diff] exact match in snippet view article find links to article

for HE and GF. Varignon's theorem can also be proved as a theorem of affine geometry organized as linear algebra with the linear combinations restricted

Surface of class VII (892 words) [view diff] exact match in snippet view article find links to article

MR 0427325 Bogomolov, Fedor A. (1982), "Surfaces of class VII0 and affine geometry", Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 46 (4): 710–761

Kurt Leichtweiss (175 words) [view diff] exact match in snippet view article find links to article

Wilhelm Blaschke), Elementary Differential Geometry, Springer, 1973. Affine geometry of convex bodies, Wiley, 1998. Convex Geometry, Springer, 1980. Analytic

Lanczos tensor (1,679 words) [view diff] exact match in snippet view article find links to article

ISSN 0001-7701. S2CID 122801979. Hammon, K. S.; Norris, L. K. (1993). "The affine geometry of the Lanczos H-tensor formalism". General Relativity and Gravitation

Juha Heinonen (817 words) [view diff] exact match in snippet view article find links to article

Mathematics Genealogy Project Buliga, Marius (2010). "Infinitesimal affine geometry of metric spaces endowed with a dilatation structure". Houston Journal

Affine connection (7,683 words) [view diff] exact match in snippet view article find links to article

this case P × aff(n)). The pair (P, η) defines the structure of an affine geometry on M, making it into an affine manifold. The affine Lie algebra aff(n)

Joseph Miller Thomas (664 words) [view diff] exact match in snippet view article find links to article

(1926) 658–670. MR1501370 with Oswald Veblen: Projective invariants of affine geometry of paths. Annals of Mathematics 27 (1926): 279–296. doi:10.2307/1967848

Carathéodory's theorem (convex hull) (2,153 words) [view diff] exact match in snippet view article

part by "lifting up one dimension", a common trick used to reduce affine geometry to linear algebra, and reduce convex bodies to convex cones. Explicitly

Ernst Snapper (1,031 words) [view diff] case mismatch in snippet view article find links to article

ISBN 0-8218-1233-5. Snapper, Ernst; Troyer, Robert J. (10 May 2014). Metric Affine Geometry. Academic Press. ISBN 9781483269337. (reprint of 1971 original) Buckley

Planar ternary ring (1,952 words) [view diff] exact match in snippet view article find links to article

geometries, is best described by examining the affine case first. In affine geometry, points on a plane are described using Cartesian coordinates, a method

3D reconstruction from multiple images (2,988 words) [view diff] exact match in snippet view article find links to article

Euclidean structure of 3D space. The simplest being projective, then the affine geometry which forms the intermediate layers and finally Euclidean geometry

Arthur Eddington (6,251 words) [view diff] exact match in snippet view article find links to article

Arrow of time Eddington approximation Eddington experiment Eddington's affine geometry Eddington limit Eddington number Eddington valve Eddington–Dirac number

Bogdan Suceavă (2,072 words) [view diff] case mismatch in snippet view article find links to article

of the co-authors of the paper Eclectic Illuminism: Applications of Affine Geometry. The College Mathematics Journal, 50(2), 82–92, written with A. Glesser

Gauge covariant derivative (4,055 words) [view diff] exact match in snippet view article find links to article

intertwined with the internal gauge symmetries; that is, metric geometry and affine geometry are necessarily distinct mathematical subjects: this is the content