ACCEPTED SOLUTION
Accepted Solutions
@Cornel wrote:
And if I want to make in this way? Why is not possible?
In this form Mathcad attempts to run through all the n's for x before before tackling y; so when n gets to 1, y1 doesn't yet exist. The only way I've found to make it proceed recursively, is to put it in an "if" statement. (With full Mathcad Prime you could put the whole thing in a "for" loop, of course. However, I only have the Express version).
Alan
Put the x & y terms in vectors. This forces Mathcad to evaluate them simultaneously rather than sequentially.
Stuart
@Cornel wrote:
I do not know what are these and how you generated these plots, if you do not post mathcad file..
It's the same equation you gave, with more points (N = 39000 vs 3000) and an extra term for the z coordinate (so you can plot it in 3D).
The 3D plot is a space line showing how the x and y coordinates move as n increments (the z-axis). Try setting N = 30 to see this more clearly.
Looks kind of like a hydra or a bobbit worm in 3D with N = 4000. Typical chaotic behaviour with everything looking like a nice pattern and then it takes a step change outside of that pattern.
Stuart
Its fun to play around with modifications of number of point or the parameters a, b, c. Tiny changes often have big effects.
In Mathcad we also can create nice crochet doilies using the 3D plot.
Changing N exponentially
Changing N linear
Playing around with parameter a
GIF is too large to be inserted here (maximum allowed size is 9.79 MB - strange limit),
Try to attach the mp4
Ooops! Just noticed that in the post above I used a different sign in the definition of x.
But using the original minus sign makes up for some pretty crochet doilies as well:
I guess Valery would enjoy this thread and maybe he is following it anyway even though he obviously still can't post. Hope he is well.
Mathcad 15 worksheet attached
@Werner_E @StuartBruff
See attached file.
But yeah, I do not know how to slow down the iterrations, and then for example how to itterate for example from 1 to 1 for b variable, so for example b to take 1, 2, 3, 4, etc. Right now b is taking 0.249, 0.437, 0.769, 0.958, 1,235, etc.
I uploaded already.
What I do not yet understand is how to slow down the iterrations, as you made in your video.
Show me for this example. Right now iterrations of a and b are fast, but I want a more slowly itterations. How to do this?
@Werner_E wrote:
@Cornel wrote:
And the only way to stop is to disable control slider a?
To change more parameters simultaneously I guess it would be better to use just one control with a vector of all parameters as its output.
A problem with using controls for complex tasks is that it means learning the foibles of some other language (JScript) as implemented in Mathcad. Not a huge problem, but one still demanding of one's time, effort, hair roots, and bruised toes (from kicking the cat in frustration when trying to debug a language you have no real interest in using). It rather smacks of buying an expensive guard dog and barking oneself.
Consequently, I prefer to do as little as inhumanly possible in a control scripts and keep the clever stuff in Mathcad - where it's visible!
So an alternative to using a master parameter setting control is to use a master clock control to act as the pulse for the other controls. The way I've implemented it below means that there is still the screen flicker, but there is better control of the parameter changes. Performance (and flicker reduction) could possibly be done by using the Mathcad API to directly change a parameter math region from within a control. But, as I said, this is too much "non Mathcad" work for me to be bothered with at the moment. I've got enough on my metaphorical plate dealing with actual Mathcad projects, not to mention my non-virtual plate calling for me to put some food on it.
Here's a pixelograph of a master clock implemented as a Text Box Control.
Here are the scripts for each control,
a (parameter) control script:
//TextBox Input:
//[0] ← τ > 1
// TextBox Output:
// [0] a → a
// TextBox Script:
var adelta = 0.05;
var amax = 10;
var a = 0;
function SliderEvent_Start(Inputs, Outputs) {
// TODO: Add your code here
};
function SliderEvent_Exec(Inputs, Outputs) {
if (Inputs[0].Value = 1) {
// Outputs[0].Value = Slider.Position();
a = (a + adelta) % amax;
Slider.Position(a);
Outputs[0].Value = a;
}
};
function SliderEvent_Stop(Inputs, Outputs) {
// TODO: Add your code here
};
function Slider_ValueChanged(Inputs, Outputs) {
// TODO: Add your code here
};
tau (clock) control script
//TextBox Input:
//[0] ← Round(mod(time(0), 1000, 0.001)
// TextBox Output:
// [0] taudiff → τ
// TextBox Script:
var lasttau = 0.0;
var taustep = 1.0;
var taumax = 1000;
function TextBoxEvent_Start(Inputs, Outputs) {
// TODO: Add your code here
};
function TextBoxEvent_Exec(Inputs, Outputs) {
tau = Inputs[0].Value;
taudiff = (tau + 2 * taumax - lasttau) % taumax;
if (taudiff >= taustep) {
lasttau = tau;
TextBox.Text(taudiff.toString(10));
Outputs[0].Value = 1;
} else {
Outputs[0].Value = 0;
}
};
function TextBoxEvent_Stop(Inputs, Outputs) {
// TODO: Add your code here
};
Note: When formatting a control's script in Notebook++, it is preferable to conduct the steps in the following order:
1. Copy script from control, close script.
2. Paste script into new, blank Notepad++ (NPP) editor window.
3. From NPP Language menu select Javascript.
4. From Plugins menu select JSTool a → JSFormat (ctrl-alt-M).
5. From Plugins menu select NppExport → Copy all formats to clipboard.
6. In Mathcad paste clipboard into TextBox (ctrl-t, ctrl-v).
7. In the TextBox select all and copy the formatted script (ctrl-a, ctrl-c).
8. Open the contol, select all and paste script (ctrl-a, ctrl-v).
It is important to paste into and copy from the TextBox and then paste into the contol. Otherwise, pasting directly from NPP into the control will lose any special characters that the script may contain (eg, Greek letters).
Stuart
