How to use affine in a sentence

Examples of affine by meaning

More sentences with affine

• Examples of affine transformations include translation, scaling, homothety, similarity, reflection, rotation, shear and compositions of them in any combination and sequence.From the entry affine transformation
• The basic difference between Riemannian and affine differential geometry is that in the affine case we introduce volume forms over a manifold instead of metrics.From the entry affine differential geometry
• An affine transformation does not in general preserve angles between lines or distances between points, but it does preserve ratios of distances between points lying on a straight line.From the entry affine transformation
• Therefore, Bézier curves are invariant under affine transformations like rotation, translation or scaling.2012, Frank Klawonn, Introduction to Computer Graphics: Using Java 2D and 3D, 2nd edition, Springer, page 151. From the entry Bézier curve
• In Chapter 4, we study questions related to real affine differential geometry.2012, Miguel Brozos-Vázquez, Peter B. Gilkey, Stana Nikcevic, Geometric Realizations of Curvature, World Scientific (Imperial College…. From the entry affine differential geometry
• The polytopes are, by definition, the convex envelopes of finite sets of points of an affine space.2010, Marcel Berger, Geometry Revealed: A Jacob's Ladder to Modern Higher Geometry, Springer, page 505. From the entry convex envelope
• The latter term is in an attempt to unify the concept of affine and projective variety.2005, Max K. Agoston, Computer Graphics and Geometric Modelling: Mathematics, Springer, page 724. From the entry projective variety
• We here review work on the discretization of affine geometries which was undertaken in collaboration with A.2001, W. K. Schief, “An Introduction to Integrable Difference and Differential Geometries”, in Alan Coley et al., editors, Bäcklund and…. From the entry affine geometry
• We also obtain epimorphicity criteria for subgroups of affine algebraic groups, which generalize a result of Bien and Borel..2016, Michel Brion, “Epimorphic subgroups of algebraic groups”, in arXiv. From the entry epimorphicity
• Then, using minorization maximization (MM) algorithm based on an affine approximation, we obtain a solution for the reformulated problem.2016, Jinwoo Kim, Wan Choi, Hyuncheol Park, “Beamforming for Full-Duplex Multiuser MIMO Systems”, in arXiv. From the entry minorization
• As an application we suggest a baxterization of the Dunkl-Cherednik elements Y's in the double affine Hecke algebra of type A.2015, A.P. Isaev, A.N. Kirillov, V.O. Tarasov, “Bethe subalgebras in affine Birman--Murakami--Wenzl algebras and flat connections for q-KZ…. From the entry baxterization
• Projective space is, by definition, the collection of the points in affine space together with the points at infinity.2003, Ron Goldman, Pyramid Algorithms: A Dynamic Programming Approach to Curves and Surfaces for Geometric Modeling, page 18. From the entry point at infinity
• Along the way, we show that commutative affine domains, uniparameter quantum tori, and uniparameter quantum affine spaces satisfy the generalised Dixmier-Moeglin equivalence..2015, Jason Bell, Stéphane Launois, Brendan Nolan, “A generalised Dixmier-Moeglin equivalence for quantum Schubert cells”, in arXiv. From the entry uniparameter
• All subsequent definitions could be formulated for abstract algebraic varieties, but will only be developed in the affine or quasi-affine case to keep things simple.2014, Herwig Hauser, “Blowups and Resolution”, in David Ellwood, Herwig Hauser, Shigefumi Mori, Josef Schicho, editors, The Resolution of…. From the entry algebraic variety
• It is not clear on what basis the names were chosen, but a systematic anthroponymous linkage across generations and between affines seemed likely.2013, Feuding, Conflict and Banditry in Nineteenth-Century Corsica, page 396. From the entry anthroponymous
• The edge points generated by subdivision are only affine combination from the vertices of fore-level, and these vertices are vertex points in this level.2006, Ronghua Liang, Zhigeng Pan, Adrian Cheok, Advances in Artificial Reality and Tele-Existence. From the entry forelevel
• The classical Gauss map associates to each point of a nonsingular real affine hypersurface the unit vector of the external normal at this point.2005, F. L. Zak, Tangents and Secants of Algebraic Varieties, American Mathematical Society, page 5. From the entry Gauss map
• The father is more apt to have recourse to relatively distant paternal kin or to his own maternal kin than to his own affines.1985, Christiane Klapisch-Zuber, “The Name ‘Remade’”, in Lydia Cochrane, transl., Women, Family and Ritual in Renaissance Italy, paperback…. From the entry maternal
• When an affine transformation is applied to the control points, the resulting Bézier curve with respect to the new control points coincides with the transformed Bézier curve.2012, Frank Klawonn, Introduction to Computer Graphics: Using Java 2D and 3D, 2nd edition, Springer, page 151. From the entry Bézier curve
• This chapter is devoted to the theory of affine geometries: those incidence geometries which satisfy the Euclidean parallel postulate in Playfair's form (Ch. 2, Sec. 2).1989, Walter Prenowitz, Meyer Jordan, Basic Concepts of Geometry, Ardsley House, page 167. From the entry affine geometry

Meaning of affine

1. adjective Assigning finite values to finite quantities.
2. adjective Of or pertaining to a function expressible as f(⃑x)=A⃑x+⃑b (where A is a linear transformation and ⃑b is a constant), which, regarded as a transformation, maps parallel lines to parallel lines and finite points to finite points.
3. adjective Of two materials, having mutual affinity.

Full definition of affine

More about affine

• Meaning of affine
• Affine in Urdu

Questions about affine in a sentence

How do you use affine in a sentence?

Affine is used as an adjective, noun and verb. For example: “Now, let P, Q, and R be three noncollinear points that are left fixed by an affine transformation T.”

What is a short sentence with affine?

“the affined CPU will be randomly allocated”

What does affine mean?

Affine means assigning finite values to finite quantities.