affine

comparative more affine · superlative most affine

1. not comparablemathematicsAssigning finite values to finite quantities.
2. not comparablegeometryOf 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.

   Clearly every linear functional is affine, and every affine function is both convex and concave.

   2006, Charalambos D. Aliprantis, Kim C. Border, Infinite Dimensional Analysis: A Hitchhiker's Guide, 3rd edition, Springer, page 256

   2 more examples

   Now, let P, Q, and R be three noncollinear points that are left fixed by an affine transformation T.

   1986, Patrick J. Ryan, Euclidean and Non-Euclidean Geometry: An Analytic Approach, Cambridge University Press, page 44

   In our example of the affine cryptosystem family, deciphering is also accomplished by an affine map, namely P#92;equiva#123;-1#125;C-a#123;-1#125;b#92;bmodN, and so the deciphering transformation uses the same algorithm as the enciphering transformation, except with a different key, namely, the pair (a#123;-1#125;,-a#123;-1#125;b).

   1987, Neal Koblitz, A Course in Number Theory and Cryptography, Springer, page 81

3. comparablechemistryOf two materials, having mutual affinity.

plural affines

1. genealogyanthropologyA relative by marriage.

   3 more examples

   1970 [Routledge and Kegan Paul], Raymond Firth, Jane Hubert, Anthony Forge, Families and Their Relatives: Kinship in a Middle-Class Sector of London, 2006, Taylor & Francis (Routledge), page 135, The element of personal idiosyncracy may be expected to be most marked in regard to affines (i.e. those related by marriage) and particularly with the consanguines of affines, who are linked by still more tenuous bonds. There are many possible degrees of affinal relationship here, but broadly affines separate into two main types: spouse of consanguine of Ego, and consanguine of spouse of Ego—exemplified by my brother's wife, and my wife's brother.

   In contrast to bonds of kaḅisu membership, which require ritual maintenance and can produce intense factional rivalries, and those of affines, which demand ongoing exchanges, unmediated relations of blood are created by nothing more than physical procreation.[…]People's ability to swivel between these two rhetorical possibilities reflects the inherent tension that lies between affines, who are both others and extensions of oneself.

   1997, Webb Keane, Signs of Recognition: Powers and Hazards of Representation in an Indonesian Society, University of California Press, page 51

   For the Cubeo the Vekürüwá and Okómiwa were, as they say, designated to be their affines, in a manner that was calculated to emphasize their similarities rather than the formal differences that set contemporary intermarriages apart. I suspect that Cubeo themselves sense that an excessive intimacy with the contingent of affines may have been suitable for a formative period of still ambiguous distinctions, but not for the real social world.

   2004, Irving Goldman, Cubeo Hehénewa Religious Thought, Columbia University Press, page 64

   Synonyms: in-law

present singular third person affines · participle present affining · participle past affined · past affined

1. transitiveTo refine.

   The next stage is remelting: the affined sugar is dissolved in hot water and the syrup formed is made alkaline by adding milk of lime.

   2016, Romain Jeantet, Thomas Croguennec, Pierre Schuck, Handbook of Food Science and Technology 3, page 360

2. transitivecomputingTo set the CPU affinity of something

   the affined CPU will be randomly allocated

   2013, Zi Guo Fan, Rong Liang Wang, Peng Hao Yang, “Study and Simulation of CPU Priority Scheduling Algorithm on Multi-Core Processor Platform”, in Advanced Materials Research, volumes 694-697, →DOI, →ISSN, pages 2540–2544

   2 more examples

   affined the sequential regions to run only on CPU 0

   2005, M. Annavaram, E. Grochowski, J. Shen, “Mitigating Amdahls Law through EPI Throttling”, in 32nd International Symposium on Computer Architecture (ISCA'05), Madison, WI, USA: IEEE, →DOI, →ISBN, pages 298–309

   we also affined all interrupts to CPU cores that are not allocated to FASA

   2015 June 28, Raphael Eidenbenz, Thanikesavan Sivanthi, Aurelien Monot, Jun Liu, “Real-time network traffic handling in FASA”, in (Please provide the book title or journal name), IEEE, →DOI, →ISBN, pages 1–10