RE: Graphics for LOWER INTEGRAL
- To: mathgroup at smc.vnet.net
- Subject: [mg26160] RE: [mg26122] Graphics for LOWER INTEGRAL
- From: "David Park" <djmp at earthlink.net>
- Date: Thu, 30 Nov 2000 01:04:04 -0500 (EST)
- Sender: owner-wri-mathgroup at wolfram.com
Ernesto, My DrawingPaperTutorial, which requires the DrawingPaper packages, all available at my web site, contains an animated Riemann Sum example. It performs random partitions of the integration interval, and picks x points randomly within each partition interval. It then draws the rectangles and the curve. The animation shows how the picture changes and the sum approaches the integral as the norm of the partition is reduced. However, it does not show lower and upper bound rectangles, rather it shows the rectangles that go through the randomly choosen intervalpoints. It would not be difficult to modify the plot to show the lower and upper bounding rectangles. David Park djmp at earthlink.net http://home.earthlink.net/~djmp/ > -----Original Message----- > From: Ernesto Jardim [mailto:ernesto at ipimar.pt] To: mathgroup at smc.vnet.net > Hi > > I'm doing a notebook to demonstrate the Rienman integral and I want to > include a figure similar to the one there is on the Weistein CRC > Encyclopedia for LOWER INTEGRAL. I've tried but I wasn't able to do the > bars under the curve using the lowest f(x) of the curve on the interval > defined. > > Can you help me ? > > Thanks > > EJ > > >