topic Re: How do I plot mathematical functions with JMP? in Discussions

How do I plot mathematical functions with JMP?

BHarris — Sun, 11 Jun 2023 11:04:04 GMT

I realize that JMP isn't a mathematical function plotter, but suppose I have a function: y=((v1+v2)*sin(v3+arcsine(v1/(v1+v2)))/sin(pi()-v3-arcsine(v1/(v1+v2))-v4/v1)-v1)

... and I'd like to plot it using Graph Builder. Is there a convenient way to do this type of thing with JMP? (preferably without resorting to JSL)

Seems like it would involve building a full-factorial matrix of inputs v1 thru v4, but it's not clear to me how to do that, even with the DOE FFD platform, especially if I'd like some of those variables to have hundreds of values, e.g., v1 to be 0 thru 5000 every 10.

Re: How do I plot mathematical functions with JMP?

gzmorgan0 — Mon, 27 Jul 2020 23:47:32 GMT

@BHarris,

The Nonlinear Model platform and the simulators work well for this. If I get time, I'll send an example.

Re: How do I plot mathematical functions with JMP?

Craige_Hales — Mon, 27 Jul 2020 23:57:20 GMT

Surface Plot can do this too. With NO data tables open, start surface plot from the menu, then set up like this

Choose the vN for two of the axes and set values for the other vN

Show Formulas, replace the default formula with your own formula, pick your axis variables, use the mouse to rotate and adjust the axes. I'm pretty sure your formula generates missing values for some vN values, and the surface is being interrupted by them.

Re: How do I plot mathematical functions with JMP?

stan_koprowski — Tue, 28 Jul 2020 00:01:23 GMT

@Craige_Hales,

Cool. I did not know that.

I learn something new everyday.

cheers,

Stan

Re: How do I plot mathematical functions with JMP?

Craige_Hales — Tue, 28 Jul 2020 00:13:19 GMT

There's a little bit more, see

Triple Helix spinning in 3D

Re: How do I plot mathematical functions with JMP?

txnelson — Tue, 28 Jul 2020 02:07:26 GMT

ain't that the truth!

Re: How do I plot mathematical functions with JMP?

Mark_Bailey — Tue, 28 Jul 2020 13:34:53 GMT

I do not think that Graph Builder will work, even though it can plot the graph of a function of one independent variable. The only roles available for a case like this is X and Y. You have four independent variables, so the plot is 5 dimensions.

Would the Profiler suffice? If so, make a new data table. Create a data column for V1-V4 and Y. You do not need a grid. Add two rows to the data table and enter the minimum and maximum value for each independent variable. Enter the formula for the function to the Y column.

Then select Graph > Profiler and enter Y for the formula. You will likely have to manually adjust the Y axis in the profiler. The algorithm won't detect the cyclic extremes in your function well on its own.

I attached the data table for my set up and a table script to launch the profiler for you to play with.

Re: How do I plot mathematical functions with JMP?

BHarris — Tue, 28 Jul 2020 14:09:32 GMT

Actually, Graph Builder is amazing for 4+ dimensions -- every drop-box in the UI is basically accepting a different dimension (though Map Shape and Interval might be exceptions). So here, I'd probably do y = y, x = v1, groupX = v2, groupY = v3, and overlay = v4. I've never even heard of the "Profiler", so I'll need to go learn about it. Thx!

Re: How do I plot mathematical functions with JMP?

Mark_Bailey — Tue, 28 Jul 2020 14:16:50 GMT

I did not mean to imply that Graph Builder is limited to just two variables. But visualizing this function would require some clear thinking about what you wanted to show and how you wanted to show it. I agree that GB can bring in more than two variables through different roles.

Also using the grouping and overlay roles limits the display to the levels in the column, so you would also have to build the data table more carefully to get the groups you want.

Re: How do I plot mathematical functions with JMP?

BHarris — Tue, 28 Jul 2020 14:31:01 GMT

I had no idea JMP would do this, pretty amazing! Reminds me of the old Graphing Calculator app on the PowerPC Mac.

I asked about Graph Builder because we need to end up with a family of line plots (X, Y, group X, group Y, overlay) that we can read values from.

But I'm going to share this with the other JMP users at my work, super cool. Thanks!

Re: How do I plot mathematical functions with JMP?

BHarris — Tue, 28 Jul 2020 14:59:55 GMT

I understand -- I think I was mostly interested in knowing *how* to build the data table if I knew what levels I wanted for each of the inputs. Basically, is there an easy way to build a full-factorial-matrix data table given a min, increment, and max value for each variable?

Re: How do I plot mathematical functions with JMP?

BHarris — Tue, 28 Jul 2020 15:00:49 GMT

How did you get JMP to auto-rotate the Triple-Helix?

Re: How do I plot mathematical functions with JMP?

Mark_Bailey — Tue, 28 Jul 2020 15:28:27 GMT

Use the DOE > Classical > Full Factorial design platform. You can ignore or delete the meta-data that is created, too. You won't need it since you are not fitting empirical data.

Re: How do I plot mathematical functions with JMP?

Craige_Hales — Tue, 28 Jul 2020 15:32:52 GMT

shift key with mouse drag or arrow keys. It saves the rotation angle/speed in the script and will come up already rotating.

Re: How do I plot mathematical functions with JMP?

BHarris — Thu, 30 Jul 2020 01:39:19 GMT

That platform seems limited to mostly single-digit number of values for each variable. I tried putting in "100" for the number of values, but the UI doesn't practically support that, the boxes to type in values are too small. Wish it would allow something like: 0:50:750

Re: How do I plot mathematical functions with JMP?

Jeff_Perkinson — Thu, 30 Jul 2020 14:58:18 GMT

Following on @Mark_Bailey's suggestion, I'd look at the Contour Profiler as well.

Re: How do I plot mathematical functions with JMP?

Jeff_Perkinson — Fri, 31 Jul 2020 00:59:32 GMT

@BHarris wrote:
I understand -- I think I was mostly interested in knowing *how* to build the data table if I knew what levels I wanted for each of the inputs. Basically, is there an easy way to build a full-factorial-matrix data table given a min, increment, and max value for each variable?

Take a look at the Sequence() function (it's the Row functions in the Formula Editor), and also Tables->Join, where you'll find a Cartesian join option.

Two data tables, one column each, Sequence() formula

Join Dialog, Cartesian Join option

Resulting data table

Re: How do I plot mathematical functions with JMP?

BHarris — Mon, 03 Aug 2020 16:10:11 GMT

"Cartesian join", there it is. Thanks!

Re: How do I plot mathematical functions with JMP?

rc_hertzy — Mon, 09 Nov 2020 21:13:27 GMT

I still use Graphing Calculator (v 4.0) as still have access to Mac OS 10.12. GC is better for interactive presentations of 2D plots because of the larger size than, say, Nonlinear platform shows, and that you can quickly expand/contract the axes with CMD or OPT mouse clicks.

Re: How do I plot mathematical functions with JMP?

BHarris — Mon, 16 Nov 2020 21:20:56 GMT

GC still exists, it's available on the app store for the latest Mac OS.