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For a symmetric matrix A, the vector vec(A) contains more information than is strictly necessary, since the matrix is completely determined by the symmetry together with the lower triangular portion, that is, the n(n + 1)/2 entries on and below the main diagonal. For such matrices, the half-vectorization is
NuCalc, also known as Graphing Calculator, is a computer software tool made by Pacific Tech. It can graph inequalities and vector fields, and functions in two, three, or four dimensions. It supports several different coordinate systems, and can solve equations. It runs on OS X as Graphing Calculator, and on Windows.
A simple arithmetic calculator was first included with Windows 1.0. [5]In Windows 3.0, a scientific mode was added, which included exponents and roots, logarithms, factorial-based functions, trigonometry (supports radian, degree and gradians angles), base conversions (2, 8, 10, 16), logic operations, statistical functions such as single variable statistics and linear regression.
In mathematics and mechanics, the Euler–Rodrigues formula describes the rotation of a vector in three dimensions. It is based on Rodrigues' rotation formula , but uses a different parametrization. The rotation is described by four Euler parameters due to Leonhard Euler .
FOCAL (acronym for Formulating On-line Calculations in Algebraic Language, [1] or FOrmula CALculator [2]) is an interactive interpreted programming language based on JOSS and mostly used on Digital Equipment Corporation (DEC) PDP series machines. JOSS was designed to be a simple language to allow programs to be easily written by non-programmers.
A formula editor is a computer program that is used to typeset mathematical formulas and mathematical expressions. Formula editors typically serve two purposes: They allow word processing and publication of technical content either for print publication, or to generate raster images for web pages or screen presentations.
We validate the first vector: = [] [] = [] and = [] [] = []. Thus, for the given matrix W {\displaystyle W} with its column-space that is spanned by two exact right singular vectors, we determine these right singular vectors, as well as the corresponding left singular vectors and the singular values, all exactly.
Automatic vectorization, a compiler optimization that transforms loops to vector operations; Image tracing, the creation of vector from raster graphics; Word embedding, mapping words to vectors, in natural language processing