length preserving
1Format-preserving encryption — In cryptography, format preserving encryption (FPE) refers to encrypting in such a way that the output (the ciphertext) is in the same format as the input (the plaintext). The meaning of format varies. Typically only finite domains are discussed …
2Rotation group — This article is about rotations in three dimensional Euclidean space. For rotations in four dimensional Euclidean space, see SO(4). For rotations in higher dimensions, see orthogonal group. In mechanics and geometry, the rotation group is the… …
3Grigorchuk group — In the mathematical area of group theory, the Grigorchuk group or the first Grigorchuk group is a finitely generated group constructed by Rostislav Grigorchuk that provided the first example of a finitely generated group of intermediate (that is …
4Charts on SO(3) — In mathematics, the special orthogonal group in three dimensions, otherwise known as the rotation group SO(3), is a naturally occurring example of a manifold. The various charts on SO(3) set up rival coordinate systems: in this case there cannot… …
5Aeschines Socraticus — This article refers to the philosopher. For the Athenian orator, see Aeschines. Aeschines Socraticus or Aeschines of Sphettos (ca. 425 ca. 350 BCE) (Greek: polytonic|Αἰσχίνης, sometimes but now rarely written as Aischines or Æschines ), son of… …
6Differential geometry of surfaces — Carl Friedrich Gauss in 1828 In mathematics, the differential geometry of surfaces deals with smooth surfaces with various additional structures, most often, a Riemannian metric. Surfaces have been extensively studied from various perspectives:… …
7Ergodic theory — is a branch of mathematics that studies dynamical systems with an invariant measure and related problems. Its initial development was motivated by problems of statistical physics. A central concern of ergodic theory is the behavior of a dynamical …
8dance — dancingly, adv. /dans, dahns/, v., danced, dancing, n. v.i. 1. to move one s feet or body, or both, rhythmically in a pattern of steps, esp. to the accompaniment of music. 2. to leap, skip, etc., as from excitement or emotion; move nimbly or… …
9Europe, history of — Introduction history of European peoples and cultures from prehistoric times to the present. Europe is a more ambiguous term than most geographic expressions. Its etymology is doubtful, as is the physical extent of the area it designates.… …
10commercial fishing — Introduction the taking of fish and other seafood and resources from oceans, rivers, and lakes for the purpose of marketing them. Fishing is one of the oldest employments of humankind. Ancient heaps of discarded mollusk shells (shell… …
