What is Vector Space ?
source: adobe stock Let V be a non-empty set and addition is an internal binary operation denoted by '+' that is a map from V x V → V whic…
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Definition of Mapping , injective mapping, Bijective mapping , Constant mapping, Identity mapping , inverse mapping
source:adobe stock Mapping Let A and B be two non - empty sets. A mapping f from A to B is a rule, that assigns to each element x of a d…
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Definitation of Finite and Infinite Sets, Equal Sets , Incomparable Sets, Universal Set , Disjoint Sets
source: adobe stock Finite and Infinite Sets A set is said to be a finite set if either it is empty or it contains a finite number of elements; othe…
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TRANSFORMATION OF RECTANGULAR AXES
source: adobe stock Types of the transformation of axes T here are three distinct types of transformation of co-ordinates, namely (i) translation (…
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LOGARITHMIC FUNCTION OF A COMPLEX NUMBER
source: adobe stock Let z be a non-zero complex number. Then there always exists a complex number w such that = z. w is said to be a Logarithm of z…
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EXPONENTIAL FUNCTION OF A COMPLEX NUMBER
source: adobe stock The function of a real variable x, is called the exponential function of a real variable x. is For a complex variable z=x+i…
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DEMOVIRE'S THEOREM
source: adobe stock If n is an integer, positive or negative and Θ is a real number ( COSΘ +iSINΘ) ∧ n = cosnθ+isinnθ If n is a fraction, posi…
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