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A discrete memoryless channel (DMC) can be specified using two random variables , with alphabet ,, and a channel law as a conditional probability distribution (|). The channel capacity , defined as C := sup p ∼ X I ( X ; Y ) {\displaystyle C:=\sup _{p\sim X}I(X;Y)} , indicates the maximum efficiency that a channel can communicate, in the unit ...
GPkit is a Python package for cleanly defining and manipulating geometric programming models. There are a number of example GP models written with this package here . GGPLAB is a MATLAB toolbox for specifying and solving geometric programs (GPs) and generalized geometric programs (GGPs).
The binary Golay code, G 23 is a perfect code. That is, the spheres of radius three around code words form a partition of the vector space. G 23 is a 12-dimensional subspace of the space F 23 2. The automorphism group of the perfect binary Golay code G 23 (meaning the subgroup of the group S 23 of permutations of the coordinates of F 23
A random geometric graph (RGG) is an undirected geometric graph with nodes randomly sampled from the uniform distribution of the underlying space [0,1) d. [5] Two vertices p, q ∈ V are connected if, and only if, their distance is less than a previously specified parameter r ∈ (0,1) , excluding any loops .
The principle of parametric design can be defined as mathematical design, where the relationship between the design elements is shown as parameters which could be reformulated to generate complex geometries, these geometries are based on the elements’ parameters, by changing these parameters; new shapes are created simultaneously.
Mesh generation is the practice of creating a mesh, a subdivision of a continuous geometric space into discrete geometric and topological cells. Often these cells form a simplicial complex. Usually the cells partition the geometric input domain. Mesh cells are used as discrete local approximations of the larger domain.
In computer science, a generator is a routine that can be used to control the iteration behaviour of a loop. All generators are also iterators. [1] A generator is very similar to a function that returns an array, in that a generator has parameters, can be called, and generates a sequence of values.
Channel Builder supports local point channels, generally used for single, large channels whose function is to be modeled, and general channels whose density across the cell can be defined. Maximum conductance, reversal potential, ligand sensitivity, ion permeability, as well as precise dynamics of transitional states using activation and ...