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NBHM June 2005 | Doctoral Scholarship Written Test | Algebra | Mathematics Arbitrary intersection of closed sets in a metric space is closed. Link : • Arbitrary intersection of closed sets in a... Arbitrary union of open sets in a metric space is open. Link: • Arbitrary union of open sets is open in me... Finite intersection of open sets in a metric space is open. Link : • A finite intersection of open sets in a me... The empty set is open in any metric space. Link: • In any metric space (X,d), the empty set i... ---------------------------------------- Types of numbers. What are numbers? • Types of Numbers: Natural numbers, Integer... ---------------------------------------- Differentiation of constant and identity function. • Differentiation of constant and identity f... Differentiation problems. • Differentiation problems using definition ... ---------------------------------------- Limit question 1 • Limit Question 1| Calculus #maths #educati... Limit question 2 • Limit Question 2 | Calculus #calculus #mat... Limit question 3 • Limit Question 3 | Calculus | Mathematics ... Limit question 4 • Limit Question 4 | Calculus | Mathematics ... Limit question 5 • Limit Question 5 | Calculus | Mathematics ... Limit question 6 • Limit Question 5 | Calculus | Mathematics ... ---------------------------------------- Number theory question 1 • Number Theory Question 1 | Mathematics #ma... Number Theory Question 2 : • Number Theory question 2 | Mathematics #ma... Number Theory question 3 : • Number Theory question 3 | Mathematics #nu... ---------------------------------------- Matrix : • Matrix | Matrix Algebra | Mathematics #lin... Order of a Matrix: • Order of a matrix | Matrix Algebra | Mathe... Types of Matrices: Zero matrix • Zero Matrix | Types of Matrices | Matrix A... Types of matrices Diagonal matrix : • Diagonal Matrix | Types of Matrices | Matr... • Examples of Diagonal matrices | Types of m... Scalar matrix. • Scalar Matrix | Types of Matrices | Matrix... ------------------------------------- Korean Mathematics competition 2001 : • Korean Mathematics Competition 2001 Proble... ------------------------------------- NBHM June 2005 Doctoral scholarship test : • NBHM June 2005 | Doctoral Scholarship Writ... NBHM question : • Which of the following are Gaussian primes... #maths #mathematics #calculus #education #linearalgebra #mathstricks #class12 #mathproblems #matrices #highermathematics #highereducation #highermaths #linearalgebra #algebra #polynomials #rootsofquadraticequation #gatemathematics #gatemaths #netmaths #iitjammathematicsonlineclasses #iitjam #nbhm #nbhmphd #numbertheory #numbers #ringtheory