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
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 stateme..
Summary (Contd…)
Wave optics is based on wave theory of light put forward by Huygen and modified later by Fresnel. According to the wave theory, light is a form of energy, which travels through a medium in the form of transverse waves. A wavefront is defined as the locus of all the particles of a medium, which are ..
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..
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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