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MATLAB (an abbreviation of "MATrix LABoratory" [22]) is a proprietary multi-paradigm programming language and numeric computing environment developed by MathWorks.MATLAB allows matrix manipulations, plotting of functions and data, implementation of algorithms, creation of user interfaces, and interfacing with programs written in other languages.
Octave programs consist of a list of function calls or a script. The syntax is matrix-based and provides various functions for matrix operations. It supports various data structures and allows object-oriented programming. [26] Its syntax is very similar to MATLAB, and careful programming of a script will allow it to run on both Octave and ...
Today mapping functions are supported (or may be defined) in many procedural, object-oriented, and multi-paradigm languages as well: In C++'s Standard Library, it is called std::transform, in C# (3.0)'s LINQ library, it is provided as an extension method called Select.
Moreover, Hadamard's inequality provides an upper bound on the absolute values of the intermediate and final entries, and thus a bit complexity of ~ (), using soft O notation. Moreover, as an upper bound on the size of final entries is known, a complexity O ~ ( n 4 ) {\displaystyle {\tilde {O}}(n^{4})} can be obtained with modular computation ...
Here Σ is an n-by-p rectangular diagonal matrix of positive numbers σ (k), called the singular values of X; U is an n-by-n matrix, the columns of which are orthogonal unit vectors of length n called the left singular vectors of X; and W is a p-by-p matrix whose columns are orthogonal unit vectors of length p and called the right singular ...
Under lazy evaluation, the length function returns the value 4 (i.e., the number of items in the list), since evaluating it does not attempt to evaluate the terms making up the list. In brief, strict evaluation always fully evaluates function arguments before invoking the function.
C can be adjusted so it reaches a maximum of 1.0 when there is complete association in a table of any number of rows and columns by dividing C by where k is the number of rows or columns, when the table is square [citation needed], or by where r is the number of rows and c is the number of columns.
The moment generating function of a real random variable is the expected value of , as a function of the real parameter . For a normal distribution with density f {\textstyle f} , mean μ {\textstyle \mu } and variance σ 2 {\textstyle \sigma ^{2}} , the moment generating function exists and is equal to