*A discrete analog of integration by parts*

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*A discrete analog of integration by parts*

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

*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.*

*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...*

*A Fibonacci identity is depicted visually.*

*The authors explain certain inequalities visually.*

*In this note an elementary proof of Stirling's asymptotic formula for \(n!\) is given.*

*The number of black squares in a crossword puzzle, and the number of marks needed to bound the black squares allows one to determine the number of words the puzzle contains.*