set theory de morgan s law


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Sets Summary
De Morgan's laws Let A, B be finite sets. Then Let A,B,C be finite sets..
Summary
De Morgan's laws Let A, B be finite sets. Then Let A,B,C be finite sets..
Idempotent laws
If A is any set,the..
Associative laws
If A, B, C are three sets, then..
Power Set
The family of all subsets of any set S is called the power set of S. We denote the power set of S by P (S). If a set S is finite, say S has n elements, then the power set of S..
Basic Definitions
: Two sets A and B are said to be equal if and only if they contain the same elements i.e. if every element of A is in B and every element of B is in A. We denote the equality by A = B. Cardinality of a Set A: The number of elements in a finite set A, is the cardinalit..
Summary
(i) Let X be a set of numbers and f : N n X be a function, then the ordered set {f(1), f(2),...., f(n)} is called a finite sequence in X. (ii) Let X be a set of numbers and f : N X be a function, then the ordered set {f(1), f(2),....} is called ..
Surd
(x 3 a ) 1 / 4 = x 3 a / 4 (power law)] (v) LHS = x ( p - q ) ( p + q ) x ( q - r ) ( q + r ) x ( r - s ) ( r + s ) = x 0 = 1 = R.H.S (vi) ..
Huygen's Wave Theory
Christian Huygen Huygen's Principle - Christian Huygen Huygen proposed a hypothesis for the geometrical construction of the position of a common wavefront at any instant during the propagations of waves in a medium. The postulates are: Every point on the given wavefront called 'primary wavefront' acts as a fresh so..
The law of inertia or Newton's Ist law of motion
galileo galilee Galileo Galilee (1564-1642), a great Italian scientist raised a number of questions about the action of forces on a body with respect to the motion of the body. He performed various experiments and answered those questions by studying the results of his experiments. Aristotle, a Greek philosop..
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