Guy1

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6 years, 177 days

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These are replies submitted by Guy1

@dharr

 

Finally, I see that the Maple's fdiscont command seems to be the best solution.

x1 := 0:
x2 := Pi:
f := x-> 2 + floor(x + 5*sin(x)):

fdiscont(f(x), x = x1..x2);


[-0.593607866940289*10^(-5) .. 0.000320180364024403, 0.167044077255513 .. 0.167612171188469, 0.338432390706186 .. 0.339000554376301, 0.518914164348197 .. 0.519482265387794, 0.716187666319970 .. 0.716746365259254, 0.945305996983405 .. 0.945871355453450, 1.25169685698879 .. 1.25226232290992, 2.31157841012941 .. 2.31249469359618, 2.65259662949180 .. 2.65351254896426, 2.92459155914235 .. 2.92514123322049]

@dharr 

 

Thank you for your response.

I know pretty much what you mean.

It is therefore more complicated than one imagines for the general case. There is therefore no effective solution for the second example.

Even using the Maple's fsolve, it is not easy to find all the solutions in a given range.

 

Guy.

@vv ,

 

Okay, thanks anyway for your astuce.

I don't think the LED effect required a lot of complex work from an expert in graphics and rendering under a sophisticated software, but just a simple way to disable the lightmodel on only one surface among others and without impact these surfaces.

 

The subject could have been titled quite simply:

"How to Disable the lightmodel of a Single Surface without Impacting the Others?"

 

I think, in the future, a simple line of codes in the Maple's display command could be look like this (or similarly):

L := LIST_OF_LIST_OF_PLOT3D_OPTIONS:

for i in L do

   if member(lightmodel = none, L, i) then IGNORE_AMBIENT_PROCEDURE( ... )

   else lightmodel = light3  # Default value

   fi

od:

 

Maybe an amendment to update the display command in the next version coulb be submit.

 

 

Best.

 

Guy.

@vv ,

Thank you. It works in this simple case, BUT, when I wish to change the direction of the light, the Maple's User Lighting window disables all light models when I click on the Ambient button to choose the desired ambient light.

Fig. 1 The Ambient light setting disables all light models.

 

It could be very complicated and punitive for an advanced assembly (see below) of more than a thousand of the surfaces at least because I would have to apply an exemplary color gradation to what you have just shown me at each surface just to show few LED lights !!!

 

Fig. 2: Plot of an inital advanced aircraft surface without LEDs.

 

Fig. 3: Final objective: Exterior lighting systems have to be independent of light direction under Ambient of Maple's User Lighting window.

 

I think there must be a solution where we only take care of the surface regarding the LED effect and we let all the other surfaces brighten up by the default light.

OR another could be to create a secondary light source, is it possible?

 

Thanks.

 

Guy.

@Carl Love ,

Thank you for your response, but the lightmodel = none disables on all surfaces and unfortunately including those which are not intended to represent the LED.

 

A surface with regular light:
BALL := plot3d(<cos(t)*cos(s), cos(t)*sin(s), sin(t)>, s = 0..2*Pi, t =-Pi/2..Pi/2, color = "Blue"
#, lightmodel = light1
):

An illuminated surface representing the LED
LED := plot3d(<2 + cos(t)*cos(s), cos(t)*sin(s), sin(t)>, s = 0..2*Pi, t =-Pi/2..Pi/2, color = "Yellow"
, lightmodel = none
):

Assembly
display(BALL, LED);
 

Guy.

 

@Carl Love 

Thank you so much. Yes, that’s very close to my dream syntax!!!

Yes! Vote up!

Very good response.
Big thank.
 
Indeed, the same problem affects:
 
> F := proc()
> local x :
> return cos(x)
> end:
 
Now, write:
> F := proc()  #Shift + Enter
   local x :
> return cos(x)
> end:
 
 
- The advantage is that there are fewer prompts and both better reading.
 
- The drawback (but acceptable) is that if you decide, like in earlier version, to delete only one line instantly with "Ctrl + Delete" among a big block, all the block is deleted unintentionally.
It must therefore be very careful in selecting manually with the mouse cursor.
My apologies, I wanted to talk about the Maple's Worksheet Files *.mw instead of *.wm.
 
Thank you, it works with Shift+Enter.
 
But in previous versions, it works anyway with chevron ">", example:
 
> display(
>  plot(f(x), x = x1..x2)
>, plot(g(x), x = x1..x2)
>, plot(h(x), x = x1..x2) );
 
But not in Maple 2015.
 
 
 

 

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