A number is defined as being $B-Smooth$ if none of its prime factors are greater than the value of $B$. For example, $105$ is $7-Smooth$, because $105=3\c...

So for, the above formula, how did they get $(n+1)$ a for the geometric progression when $r = 1$. I also am confused where the negative a comes from in th...

I have a triangle represented with three points in $3D$ space and a normal vector of that triangle. How can I determine if the normal vector (starting at ...

I know that if Tan A =Tan B then A = B + nπ This is because Tan has a periodicity of π What is the equivalent formula for Sin A = Sin B and Cos A = Cos B ...

I'm currently studying derivative and I'm really confused by the concept of "the limit of product" and the "product rule". Are they the two diff...

I have a mathematics assignment, which requires me to proof that $$\ln\frac{2}{3} = \sum_{n=1}^{\infty}\frac{(-1)^{n}}{2^{n}n}$$. I know, I can solve this...

Is there any other method or trick to find pi(x)[no. of primes upto x]other than the formula given by Euler..? (The other question is on prime arithmetic ...

A recursive definition of an where a is an integer and n is a non-negative integer follows: a^nif=1 if n = 0 a^n=a*a^(n-1) if n>0 Write a recursive fun...

There are many asymptotic notations like the big O notation: big Omega notation, little o notation, ... Thus there are many arithmetic rules for them. For...

There are quite a few sources online that say something along the lines of : "As a rule of thumb, if the condition number $\kappa(A)=10^k$ then you may lo...