Function Summary
Summary - A function is a relation on A x B is which A function is a relation on A x B is which (i) no two second elements have a common first element. (ii) every first element has a corresponding second element. Every function is either one-one onto or one-o..
Test for Functions (Summary)
The relation should be one-one or many-one, and Every first element is mapped which means that every pre-image should have an imag..
Summary Relations and Functions
>Relation from a set A to a set B is a subset of A x B. - A relation R on a set A is reflexive if a R a, " a A- A relation R on a set A is symmetric if a R b b R a. - A relation R on a set A transitive if a R b and b R c a R c. A relation R is said to be an equivalence relation on A if it is reflex..
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...
Summary
Every polynomial is continuous. Every rational function is continuou..
Summary
Cell is the structural and functional unit of the organism. Water is the principal constituent of plants and is essential for the maintenance of life, growth and developmen..
Summary
A function is a relation on A x B is which (i) no two second elements have a common first element. (ii) every first element has a corresponding second element...
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 ..
Summary
The molecular mechanism by which a gene shows to potential in the phenotype of an organism, is called gene expression. Every gene contains the blue print required for the function of a given polypeptide, in the form of a specific sequence of nucleotide..
Summary
Alcohols and Phenols are compounds containing -OH as the functional groups. In alcohols, the -OH group is attached to sp 3 hybridised carbon. In phenols, it is attached to sp 2 hybridised carbon of an aromatic ring. In ethers, oxygen atom is attached to two carbons atoms by two se..
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