continuous functions and discrete functions


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Matrices
A rectangular array of entries is called a Matrix. The entries may be real, complex or functions. The entries are also called as the elements of the matrix. The rectangular array of entries are enclosed in an ordinary bracket or in square bracke..
Matrices and Determinants
Matrices - A rectangular array of entries is called a Matrix. The entries may be real, complex or functions. The entries are also called as the elements of the matrix. The rectangular array of entries are enclosed in an ordinary bracket or in square bracke..
Summary
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...
Sequences and Series
Sequence - A set of numbers arranged in a definite order according to some definite rule is called a sequence. or A sequence is a function whose domain is the set N of natural numbers. It is customary to denote a sequence by a letter 'a' and the image a(n) or t(n), n N under 'a' by a n or..
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 an infi..
Factorial Notation
Let n be a positive integer. The continued product of first n natural numbers is called factorial n and is denoted as ..
Factorial Notation
Let n be a positive integer. The continued product of first n natural numbers is called factorial n and is denoted as n..
Function
section through stem apex and root tip showing meristematic tissue The main function of meristematic tissue is to continuously form a number of new cells and help in growt..
Functions Limits and Continuity
Functions Limits and Continuity - The concept of limits leads to define and describe continuity and derivative of the function. The continuity of a function has practical as well as theoretical importance. We plot graphs by taking the valu..
Functions Limits and Continuity
The concept of limits leads to define and describe continuity and derivative of the function. The continuity of a function has practical as well as theoretical importance. We plot graphs by taking the values generated in the laboratory or collected in the f..
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