Graphing Summation Formulas
#1
Posted 24 February 2013  07:44 PM
Sum(Sin(x*a)/a,x,a=1,100) x=value to be evaluated by Sum(f(x),a=1,100)
I have successfully plotted this on: HP50G, TI89T and TInspire CX with little intuitive trouble.
However, I'm stumped on Casio fxCG10 for some reason....
Any help appreciated. Thanks. Screen shots would be nice.
I'm also on Twitter: @Maverich40
Thanks! M40
#2
Posted 24 February 2013  07:54 PM
i think either dynamic graph or table mode should do it...
#3
Posted 24 February 2013  08:27 PM
(I also have photo's from other calculators which were directly able to plot this simple function.)
For example, when I try to look up Sum in fx CG10 manual, I do not seem to find much about it thats
really useful? I have the PDF, can someone please diect me to proper page fully describing SUM()
Other approach would be via a Casio BASIC Program which manually plots a formula while in graphics
mode... but it seems other calculators have a more robust Sum() function?
I'm still trying to sort it out. Meanwhile, I shall read up on Dynamic, and Table Mode graphs from CG10 PDF.
If anyone has an actual stepbystep procedure to suggest, please share.
M40
#4
Posted 25 February 2013  01:35 AM
Sigma( , it looks like a stiff 'S' kind of, it works in RunMatrix Mode, but when I put
exactly the same function into a
Y1 = A=1,100, Sigma( sin(A*X)/A )
and attempt to "Draw" it, all it ever reports is "Syntax Error", Exit !!
So there is clearly something still not working.
I've seen examples in PDF that use Integration symbol in Graph Mode,
why not Sigma( summation function?
Thanks.
#5
Posted 25 February 2013  01:39 AM
try
sigma(sin(ax)/a,a,1,100)
EDIT: i got to my calc and that did not work. And on a sad note, when you open CALC menu from graph, there is no Sigma in the list there. This is indication that it may be prohibited for graphing. Real shame.
Edited by nsg, 25 February 2013  02:01 AM.
#6
Posted 25 February 2013  02:18 AM
#7
Posted 25 February 2013  05:22 AM
Wrote sigma epression into fn1 and then plotted fn1. Painfully slow, but works.
#8
Posted 25 February 2013  05:47 AM
#9
Posted 25 February 2013  06:51 AM
When I apply Sigma to y1 = , then press 'Draw' all I get is Syntax Error!!
what is fn1 precisely you said you used?
Thanks...
M40
#10
Posted 25 February 2013  02:48 PM
Press .
Type the equation in quotes ("<equation>").
Press
Press OPTN' />,F6' />,F3' />,F3' />.
Press 1' />.
Type Fn1 (OPTN' />,F6' />,F1' />,F3' />) into Y1=.
Press graph.
#11
Posted 25 February 2013  03:22 PM
Waveform...
Why should this expression have to be stored and applied from a "function memory", instead
of directly from
Y1 = expression
Which makes this difficult to edit and explore onthefly ?!?!?!?
Any of my other Calculators let me modify, augment this expression onthefly easily directly
from Y1 = line....
At least I got it to work. PAN graph feature is handy, too.
M40
Thanks! Could not have done it without your help!
Twitter: @Maverich40
Email: Maverich40.at.Yahoo.dot.Com
#12
Posted 25 February 2013  03:42 PM
Tadah! I may have to take photo's of how I did this! HaHa to ensure I don't forget...
Would be nice to actually experiment with the formula to see what kinds of changes could be done...
oh well...
It's a start.
M40
#13
Posted 25 February 2013  04:08 PM
Someone really needs to contact casio about that though.
Also, Hello Maverich40 and welcome to UCF! You should introduce yourself.
#14
Posted 25 February 2013  05:57 PM
http://img402.images.../cimg2368cs.png
And were able to change Sin() to Cos(), and apply Ln(), Log(), etc.
What is not working now, is the ability to Plot the 1st Derivative of our Sigma(x,a)>fn1 function!
We can not seem to get Graph to accept d/dx(fn1,x),
so if anyone would love a challenge: please see if you can find a way to apply d/dx to fn1, thanks.
"Sigma(sin(a*x)/a,a,1,100)" > fn1
"d/dx(Sigma(sin(a*x)/a,a,1,100),x)" > fn2
Graph: Y1=fn1 Success!
Graph: Y1=ln (fn1) Success!
...etc...
Graph: Y1=d/dx(fn1, x) < Fails
Graph: Y1=fn2 < Also fails
Thanks : )
M40
Have you seen: http://casio.clrhome...danounced.html
#15
Posted 07 March 2013  08:05 PM
#16
Posted 07 March 2013  09:31 PM
Hmm... Since Prizm is not a CAS calc, it can't calculate derivative by itself. You may have to calculate by hand, or write a program for numeric differentiation.
It can calculate derivatives in RunMat mode, though...
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