Pecha Kucha
March 6, 2013
Quantum Calculus
Calculus without limits
Quantum Calculus- Exponential Function March 11, 2013We have seen that satisfies . We will often leave the constant $h$ out of the notation and use terminology like for the “derivative”. It makes sense not to simplify to $x^n$ since the algebra structure is different. Define the … Continue reading → […]oliverknill
- Pecha Kucha March 11, 2013[…]oliverknill
- Fundamental Theorem January 16, 2011Let denote the discrete derivative of a continuous function f on the real line. In this post, I assume that all functions are continuous of have compact support. They are zero outside some large interval. No smoothness is required of … Continue reading → […]oliverknill
- Critical points January 15, 2011Assume f is a continuous function of one real variable. Lets call a point p a critical point of f if Df(p)=0 where Df(x) = f(x+1)-f(x) is the discrete derivative of f. As in classical calculus, a point p is … Continue reading → […]oliverknill
- Taylor Series January 15, 2011Taylor series Continue reading → […]oliverknill
- Exponential Function March 11, 2013