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Browse Classroom Capsules and Notes

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A Fibonacci identity is depicted visually.

The authors study the upper bound for the expected differences between order statistics of a distribution.

Using just very basic knowledge of finite fields and the inclusion-exclusion formula, the authors show how one can see the shape of Gauss` formula for the number of irreducible polynomials of...

An inductive proof is presented for the bounds of the remainder of Taylor expansion. This result, with Darboux's theorem, implies the classical formula for the remainder.

This article uses four different methods to evaluate a type of Poisson integral: Riemann sums, functional equation, parametric differentiation, and infinite series.

A discrete analog of integration by parts

An application for integration
Using definition to look at interest rate
Discussing a more efficient way to calculate determinant using computers.
Exponential inequality.