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What is fuzzy rule base system?
Fuzzy rules are linguistic IF-THEN- constructions that have the general form "IF A THEN B" where A and B are (collections of) propositions containing linguistic variables
How is the expansion of algebraic expressions done?
There are 3 main rules for expansion of algebraic expressions. They are as follows: 1) a2 _ b2 = (a-b) (a+b) 2) (a+b)2 = a2 + 2ab +b2 3) (a-b)2 = a2 - 2ab +b2
What are the adding rules?
There are four mathematical properties which involve addition. The properties are the commutative, associative, additive identity and distributive properties.A + B = B + C Commutative property(A+B) + C = A + (B +C) Associative PropertyA + 0 = A Additive Identity PropertyA*(B + C) = A*B + A*C Distributive property
Rules for matrix multiplication?
Suppose A is a pxq matrix and B is an rxs matrix.Then C = AxBis defined only if q = r: that is the number of columns in A is the same as the number of rows in B. The result is then a pxs matrix.Suppose the element in the wth row and xth column of A is awx.Similarly, let the element in the yth row and zth column of B is byz.Then the element in the ith row and jth column of C isai1b1j + ai2b2j + ... + aiqbqj where i = 1, 2, ..., p and j = 1, 2, ..., q.There are further rules for matrix multiplication.It is not commutative: in fact B*A may not even exist.It is associative. Provided they exist, A*(B*C) = (A*B)*CIt is distributive over addition: Provided they exist, A*(B+C) = A*B + A*Cand (B*C)*D = B*C + B*D.
What is the algorithm for dividing integers?
Procedure: 1. Divide the integers like you always do. 2. Follow these rules: (Note:+ is a positive integer, - is a negative integer and * is the multiplication symbol) a.+*+=+ b.+*-=- c.-*+=- d.-*-=+ Follow these rules and you will have your answer in no time.
