Using Mathematica to plot series with two indices

[mooeypoo]

I am not sure if this should be in Math section or in Computer section, but since it's about math, I'm hoping one of the experts here could help me out.

 

I have an equation related to my research that I want to model in Mathematica. The point at the moment is to try and graph the angle on a circle of a group of particles (the 'n' index counts particles) per time (t index). I managed to produce a lineplot per time if I create individual functions for the particles (defining Phi1[t_], Phi2[t_], etc) but I'm looking for a way to model both indices at once so I can see the relationship between all particles.

 

I looked things up in the Mathematica manual, but, alas, I can't find what to do. How do I represent a series with two indices so I can plot them later? anyone knows?

 

Thanks!

 

~mooey

[khaled]

I am not sure if this should be in Math section or in Computer section, but since it's about math, I'm hoping one of the experts here could help me out.

 

I have an equation related to my research that I want to model in Mathematica. The point at the moment is to try and graph the angle on a circle of a group of particles (the 'n' index counts particles) per time (t index). I managed to produce a lineplot per time if I create individual functions for the particles (defining Phi1[t_], Phi2[t_], etc) but I'm looking for a way to model both indices at once so I can see the relationship between all particles.

 

I looked things up in the Mathematica manual, but, alas, I can't find what to do. How do I represent a series with two indices so I can plot them later? anyone knows?

 

Thanks!

 

~mooey

 

Ok, im specialized in Mathematical Logic and Computer Science .. but, I'll try to help ...

 

Let me say what I understand from your thread:

 

You have a program that periodically measure number of particles, And insert it into

A series ...

 

So, given period D, and Testing time T, we have series S where ...

 

[latex]S = \{ \Phi_1, \Phi_2, \Phi_3, \dots \}[/latex]

 

the program's algorithm should be like this:

 

---------------------------------------------------------

 

SET: TYPE { INTEGER, INTEGER }, S = { EMPTY_SET }

PROMPT: " ENTER TEST TIME, IN STEPS: "

INPUT: T = KEYBOARD.INPUT ( )

INTEGER: t = 0

INTEGER: PHI = 0

 

+WHILE ( t < T )

+-- PHI = FUNCTION.GET_NUMBER_OF_PARTICLES ( )

+-- S.ADD ( { PHI, t } )

+-- t = t + 1

+WHILE_END

 

PLOT.SET_VALUES ( S )

PLOT.X_AXIS ( 1 )

PLOT.Y_AXIS ( 2 )

PLOT.DO_PLOT ( )

 

PROGRAM.HALT

 

-----------------------------------------------------------------

 

explanation of the algorithm:

 

SET: TYPE { INTEGER, INTEGER }, S = { EMPTY_SET }

here we define a set, where every element of the set is composed of two integers

 

PHI = FUNCTION.GET_NUMBER_OF_PARTICLES ( )

you have to define the function that will return number of particles

 

S.ADD ( { PHI, t } )

here we add { Number_Of_Particles, Time_Tag } as a new element to the Set S

 

PLOT.SET_VALUES ( S )

give the set of Values to be plotted on a 2D plane

 

PLOT.X_AXIS ( 1 )

tell the plotter that the first component of every element in the set is the X axis

 

PLOT.Y_AXIS ( 2 )

tell the plotter that the second component of every element in the set is the Y axis

 

PLOT.DO_PLOT ( )

ask the plotter to plots the values on the screen

 

note: This algorithm is abstract, specifications are made at the coding level ...

 

good luck,

Edited January 19, 2011 by khaled

[mooeypoo]

Khaled, thanks a lot! I missed this reply for some reason, which is why I just now respond.

 

I decided, actually, to switch to MatLab. Awkwardly enough, it's much more convinient to use.. Mathematica is just too complicated for its own good, it seems.

 

I will try this in mathematica though (I now have both) - this seems like it might actually solve a huge chunk of my problem.

 

Thanks!

 

~mooey