discrete log problem - Definition. Was ist discrete log problem
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Was (wer) ist discrete log problem - definition

PROBLEM OF INVERTING EXPONENTIATION IN FINITE GROUPS
Discrete log problem; Discrete logarithm problem; Discrete logarithms; Discrete log; GDLP; Generalized discrete logarithm problem; Discrete Logarithm; Discrete Log; Discrete logorithm; Discrete logarithm assumption; DLOG; Discrete logarithm cryptography; Discrete Logarithm Problem (DLP); Discrete Logarithm Problem; Index (number theory)

Discrete logarithm         
In mathematics, for given real numbers a and b, the logarithm logb a is a number x such that . Analogously, in any group G, powers bk can be defined for all integers k, and the discrete logarithm logb a is an integer k such that .
Chip log         
  • thumb
  • Chip log in the 18th century
INSTRUMENT USED TO MEASURE THE SPEED OF A SHIP AT SEA
Log (speed); Knot log; Knotted line; Patent log; Speed log; Taffrail log; Logreel; Log reel
A chip log, also called common log, ship log, or just log, is a navigation tool mariners use to estimate the speed of a vessel through water. The word knot, to mean nautical mile per hour, derives from this measurement method.
Discrete Laplace operator         
  • This GIF shows the progression of diffusion, as solved by the graph laplacian technique.  A graph is constructed over a grid, where each pixel in the graph is connected to its 8 bordering pixels.  Values in the image then diffuse smoothly to their neighbors over time via these connections.  This particular image starts off with three strong point values which spill over to their neighbors slowly.  The whole system eventually settles out to the same value at equilibrium.
ANALOG OF THE CONTINUOUS LAPLACE OPERATO
Discrete Schrödinger operator; Discrete Green's function; Discrete laplace operator; Discrete Schrodinger operator; Discrete Schroedinger operator; Discrete Laplacian operator; Laplace filter
In mathematics, the discrete Laplace operator is an analog of the continuous Laplace operator, defined so that it has meaning on a graph or a discrete grid. For the case of a finite-dimensional graph (having a finite number of edges and vertices), the discrete Laplace operator is more commonly called the Laplacian matrix.

Wikipedia

Discrete logarithm

In mathematics, for given real numbers a and b, the logarithm logba is a number x such that bx = a. Analogously, in any group G, powers bk can be defined for all integers k, and the discrete logarithm logba is an integer k such that bk = a. In number theory, the more commonly used term is index: we can write x = indr a (mod m) (read "the index of a to the base r modulo m") for rxa (mod m) if r is a primitive root of m and gcd(a,m) = 1.

Discrete logarithms are quickly computable in a few special cases. However, no efficient method is known for computing them in general. Several important algorithms in public-key cryptography, such as ElGamal base their security on the assumption that the discrete logarithm problem over carefully chosen groups has no efficient solution.