My Math Forum An interesting mixture between continuous and discrete math

 Calculus Calculus Math Forum

 June 9th, 2011, 11:03 AM #1 Newbie   Joined: Jun 2011 Posts: 2 Thanks: 0 An interesting mixture between continuous and discrete math The following definition: $\begin{eqnarray*} & f_{\pm}^{;}:\ \mathbb{R}\rightarrow\left\{ 0,\pm1\right\} \\ & f_{\pm}^{;}\left(x\right)\equiv\underset{{ h\rightarrow0^{\pm}}}{\lim}sgn\left[f\left(x+h\right)-f\left(x\right)\right], \end{eqnarray*}$ involves continuous mathematics (Calculus) with discrete mathematics (the sign function, whose values are discrete). This definition along with other interesting definitions, where continuous and discrete math join together, are depicted lucidly in the following video: http://www.youtube.com/watch?v=mM5JY-Q6hiM Hope you enjoy the video!

 Tags continuous, discrete, interesting, math, mixture

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post pjlloyd100 Applied Math 11 April 18th, 2013 11:03 AM OriaG Applied Math 5 February 11th, 2013 10:27 PM mathbalarka Calculus 4 August 30th, 2012 08:32 AM amyporter17 Applied Math 1 November 17th, 2010 07:23 AM Arturo Applied Math 6 April 3rd, 2008 08:06 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top