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What is the symbol for whole numbers?
'W' but if u want integers which are different then it is 'Z'
If z equals a plus ib then show that arg conjugate of z equals 2pi -arg z?
If z = a + ib then arg(z) = arctan(b/a) Let z' denote the conjugate of z. Therefore, z' = a - ib Then arg(z') = arctan(-b/a) = 2*pi - arctan(b/a) = 2*pi - arg(z)
Why represented the integers by the symbol Z?
It's short for Zahlen, which is German for "numbers". Why German? Why not?
The set of positive whole numbers negative whole numbers and 0?
The set of integers, often is denoted by Z.
Show that the set of integers with respect to multiplication is not a group?
To be a group, the set of integers with multiplication has to satisfy certain axioms: - Associativity: for all integers x,y and z: x(yz) = (xy)z - Identity element: there exists some integer e such that for all integers x: ex=xe=x - Inverse elements: for every integer x, there exists an integer y such that xy=yx=e, where e is the identity element The associativity is satisfied and 1 is clearly the identity element, however no integer other than 1 has an inverse as in the integers xy = 1 implies x=y=1
