I'm currently working on an iOS & Android application for GCE O Level students. I have to classify everything neatly such that Maths never appear...

How should I evaluate 2*-2^3? Which one of these two is the correct one? 2*((-2)^3) 2*(-(2^3)) I was wondering what was the correct operator precedence. E...

I read the following paragraph from wikipedia: In measure theory, Lebesgue's dominated convergence theorem provides sufficient conditions under which...

I'm currently working through Stewart and Tall's Algebraic Number Theory. In particular, section 4.9 of this book provides a proof of the Ramanu...

Hi I've been playing with ln(Natural logarithm) since I first learn it in physic class and my goal is to calculate it without using the calculator. I...

Well the formula for solving a Quadratic equation is : $$\text{If }\space ax^2+bx+c=0$$ then $$x=\dfrac{-b \pm \sqrt{b^2 -4ac} }{2a}$$ But looking at this...

I know count is simply the amount of times the observations occur in a single bin width, but what is density?

While teaching power series in my AP Calculus class, an interesting question came up. I gave an answer that I believe is correct, but I'm not certain...

Find all positive numbers $p$ for which the equation $x^2+px+3p = 0$ has integral roots. We have by the quadratic formula $$x = \dfrac{-p \pm \sqrt{p^2-12...

A second order, linear, homogeneous ODE can be expressed as: $$a(x)y''(x) + b(x)y'(x) + c(x)y(x) = 0$$ I have only a basic knowledge about ...