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Principle of Duality
Principle of Duality - The dual of any statement in a Boolean algebra is the statement obtained by interchanging + and ., and simultaneously inter-changing the elements 0 and 1 in the stateme..
Principle of Duality
The dual of any statement in a Boolean algebra is the statement obtained by interchanging + and ., and simultaneously inter-changing the elements 0 and 1 in the statemen..
Principle of Duality
The dual of any statement in a Boolean algebra is the statement obtained by interchanging + and ., and simultaneously inter-changing the elements 0 and 1 in the stateme..
Principle of Duality (Contd...)
An expression consisting of combinations of binary operations +, . and unary operation and a finite number of elements of a Boolean algebra is called a Boolean functio..
Principle of Duality (Contd...)
Theorem 6(a) (Demorgan's Law)..
Example:
x.y' + x.z + y.z' A Boolean expression can be regarded as a Boolean function since it has a unique value, either 0 or 1. The postulates, theorems or Boolean expressions in Boolean algebra hold good when the operation '+' and '.', the symbols '1' and '0' are interchanged, this is called princ..
Note:
The duality principle has many applications. If the dual of an algebraic expression is desired, we simply interchange + and . and replace 1 by 0 and 0 by 1. Let B be a Boolean algebra. Let x, y, z ..
The duality principle has many applications. If the dual of an algebraic expression is desired, we simply interchange + and . and replace 1 by 0 and 0 by 1. Let B be a Boolean algebra. Let x, y, z ..Wave Nature of Particles
/c to photons of energy h u . The elastic scattering of a photon from an electron at rest can be worked out by using the principles of conservation of energy and conservation of momentum. The discovery in 1905 of the dual nature of light was followed by the discovery of dual nature of ma..
Matter Waves
/c to photons of energy h u . The elastic scattering of a photon from an electron at rest can be worked out by using the principles of conservation of energy and conservation of momentum. The discovery in 1905 of the dual nature of light was followed by the discovery of dual nature of ma..
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