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# Category Archives: mathematics

## CSE 141: Modular Arithmatic and Congruences

Definition: 1. If then . Where and are integers and is a positive integer. 2. If and then . Where and are integers and is a positive integer. 3. If then, . Where , and are integers and is a … Continue reading

## The Princeton Companion to Mathematics

Princeton University Press has recently published a book called The Princeton Companion to Mathematics. The chief editor of the book is Professor Timothy Gowers, who is a Fields Medal winner. It is a reference for every mathematician or anyone interested … Continue reading

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## Solution to STEP problem-I

I have solved a STEP problem from Stephen Siklos’ book Advanced Problems in Core Mathematics. The problem and the solution follows: Problem: Use the substitution to evaluate Hence or otherwise show that for Where and