Eddie's Math and Calculator Blog

To my readers, I get such pleasure from writing on this blog, and fully appreciate each and every one of you. I appreciate the comments. ...

Greetings! For the following let a, b, and n ∈ N . That is all variables are natural numbers (the counting numbers). Note that the set ...

Hi everyone! Hopefully you are fine today. Not long until 2013. And yes, I am 99.44% confident that the human race will still be on Eart...

Please take a look at the Fun With Num3ers blog by Benjamin Vitale (Twitter: @BenVitale). This is a fun blog working with number theory. I...

Sine Let R be a random number such that 0 ≤ R ≤ 1. Then 0 ≤ R x ≤ x. Since sin(0) = 0, we can simply conclude that 0 ≤ sin(R x) ≤ sin x, r...

Random Numbers and Polynomials Let R be a random number such that 0 ≤ R ≤ 1. Then the inequality by x four times. Then: 0 ≤ R ≤ 1 0 ≤ R x ...

Celebrate the number 12 today! Have a great day everyone. Eddie

Complex Roots Goal: Find all the complex roots of the complex number z. This the solution to the equation: x^n - z = 0 Where z = a + bi U...

Eigenvalues of 3 x 3 Matrices Many graphing calculators that do not have CAS (computer algebraic systems) do not have eigenvalues and eige...

Eigenvalues of 2 x 2 Matrices Many graphing calculators that do not have CAS (computer algebraic systems) do not have eigenvalues and eige...

Indefinite Integral of a Polynomial Goal: Determine the coefficients of the indefinite integral of the polynomial p(X) where p(X) = a_n * ...

Derivative of a Polynomial Goal: Determine the coefficients of the derivative of the polynomial p(X) where p(X) = a_n * x^n + a_(n-1) * x^...

Quadratic Formula Ax² + Bx + C = 0 Where x = (-B ± √(B² - 4AC)) / (2A) This is just the popular quadratic formula, except this set of prog...

Euclid Algorithm Goal: To find the greatest common divisor of two integers U and V. The Algorithm in Brief: Let U ≥ V. Then U = A * V + ...