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Some compiled languages such as Ada and Fortran, and some scripting languages such as IDL, MATLAB, and S-Lang, have native support for vectorized operations on arrays. For example, to perform an element by element sum of two arrays, a and b to produce a third c , it is only necessary to write
The length of any digital delay line is a whole-number multiple of the sampling period. In order to obtain a fractional delay often needed for fine tuning the string below JND ( Just Noticeable Difference ), interpolating filters are used with parameters selected to obtain an appropriate phase delay at the fundamental frequency.
ML.NET is a free-software machine-learning library for the C# programming language. [4] [5] NAG Library is an extensive software library of highly optimized numerical-analysis routines for various programming environments. O-Matrix is a proprietary licensed matrix programming language for mathematics, engineering, science, and financial analysis.
Library multi-versioning (LMV): the entire programming library is duplicated for many instruction set extensions, and the operating system or the program decides which one to load at run-time. FMV, manually coded in assembly language, is quite commonly used in a number of performance-critical libraries such as glibc and libjpeg-turbo.
A portion of the expense of college textbooks is offset by the easy access to material provided by open source textbooks. While certain open source textbooks can be used for free, others have a nominal usage fee. A digital copy of a printed book that can be read on computers, tablets, and smartphones is called an electronic book, or ebook for ...
Mixed-radix numbers of the same base can be manipulated using a generalization of manual arithmetic algorithms. Conversion of values from one mixed base to another is easily accomplished by first converting the place values of the one system into the other, and then applying the digits from the one system against these.
Horner's method can be used to convert between different positional numeral systems – in which case x is the base of the number system, and the a i coefficients are the digits of the base-x representation of a given number – and can also be used if x is a matrix, in which case the gain in computational efficiency is even greater.
On Apple platforms, these functions are imported from the C standard library (which is imported from Foundation, AppKit or UIKit); on Linux, the developer needs to import Glibc, and ucrt on Windows. V (Vlang) uses GC by default, for user convenience, which can be turned off (-gc none). Users are free to manage memory manually.