TEST CODE: MIII (Objective type) 2011 SYLLABUS
... Algebra — Permutations and combinations. Binomial theorem. Theory of equations. Inequalities. Complex numbers and De Moivre’s theorem. Elementary set theory. Functions and relations. Divisibility and congruences. Algebra of matrices. Determinant, rank and inverse of a matrix. Solutions of linear equ ...
... Algebra — Permutations and combinations. Binomial theorem. Theory of equations. Inequalities. Complex numbers and De Moivre’s theorem. Elementary set theory. Functions and relations. Divisibility and congruences. Algebra of matrices. Determinant, rank and inverse of a matrix. Solutions of linear equ ...
Frequency of Primes Instructions (Word Format)
... twin primes. It is not known whether or not there are an infinite number of such primes. Find the numbers of twin primes in intervals of 100 (1 to 100, 100 to 200, etc.). Form a conjecture about the occurrence of twin primes for such intervals. 3. In #2 you found consecutive primes whose difference ...
... twin primes. It is not known whether or not there are an infinite number of such primes. Find the numbers of twin primes in intervals of 100 (1 to 100, 100 to 200, etc.). Form a conjecture about the occurrence of twin primes for such intervals. 3. In #2 you found consecutive primes whose difference ...
5-1
... 5.1.4.4.2. Definition of Integer Subtraction: For all integers a, b, and c, a – b = c if and only if c + b = a 5.1.4.4.3. Theorem: Subtracting an Integer by adding the Opposite – For all integers a and b, a – b = a + (-b). That is, to subtract an integer, add its opposite. 5.1.4.5. Procedures for Su ...
... 5.1.4.4.2. Definition of Integer Subtraction: For all integers a, b, and c, a – b = c if and only if c + b = a 5.1.4.4.3. Theorem: Subtracting an Integer by adding the Opposite – For all integers a and b, a – b = a + (-b). That is, to subtract an integer, add its opposite. 5.1.4.5. Procedures for Su ...
