Properties of Integers

Properties of Greatest Integer Function (vi)[x]>=k rArr x>=k; whereke Z(vii)[x] k rArr x>(k+1) ; where k varepsilon Z

Properties of Greatest Integer Function (ix) [x]

Properties of Greatest Integer Function (i)[-n]=-[n] (ii)[x+k]=[x]+k (iii) [-x]=-[x]-1 (iv) [x]+[-x]={-1 ; xnotinZ ; 0 ; xepsilonZ} (iv) [x]-[-x]={2[x]+1 ; if xnotinZ ; 2[x] ; if xepsilonZ

Properties of smallest integer function property (i)[-n]=-[n]where n epsilon N (ii) [-x]=-[x]+1; where xepsilon R-Z (iii) [x+n]=[x]+n where x epsilon R-Z and n epsilon Z (iv) [x]+[-x]={1; x notinZ ; 0 ; xinZ} (v) [x]-[-x]={2[x]-1; xnotinZ ; 2[x] ; if xinZ

Properties Of Determinants|Property 1|Property 2|Property 3|Property 4|Two Important Points|OMR

Properties Of Determinants|Property 5|Property 6|Two Important Points|OMR

Halogen Family || General Properties || Properties of Fluorine || Properties of Chlorine

Nitrogen Family and General Properties || Nitrogen and its Properties || Ammonia and its Properties

Colligative properties of a dilute solution are properties that

Division Of Integers|Properties Of Division Of Integers: Closure Property|Commutative Property|Division Of Zero|Division Identity|Associative Property|Distributive Property|Question Property|OMR