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..
Ecosystem Structure and Function Summary
Summary - The biotic and abiotic components form an interacting system called 'ecosystem'. Producers, consumers and decomposers are the various trophic levels, which are linked by their food relationship forming a 'food chain'. Several food chains are interrelated and interconnected to fo..
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...
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Every polynomial is continuous. Every rational function is continuou..
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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..
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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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