Mathematics


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Vector Spaces and Linear Transformation

Vector Space- A set V is called vector space on which two operations are defined. 1- Vector Addition 2- Scalar Multiplication Further, vector addition must follow the following properties and laws for vector addition. 1-…




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Linear Dependence and Independence of Vectors

Linear  Independence of Vectors Suppose α1, α2, α3, α4…………αn are vectors  of V(F) where F is field.  And there exist scalers a1, a2, a3, a4………..an which belong to field F. α1, α2, α3, α4…………αn vectors…


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Chi-Square Concept

Chi-Square is a statistical tool but, it is used as parametric and non-parametric both ways. It is a statistic such as, used in different fields where we use it statistic like as, 1- Independent of two attributes….


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Analytic Function

A function  f(z) which is defined in D and single valued differentiable for all points of D is said to be analytic function of z in domain D.   Necessary condition a complex  function  to be analytic …