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I would like to plot this function - Computing the length of a reflected path. - Сообщения
#1 Опубликовано: 13.10.2019 17:18:05
I have attached aReflection.sm (50 КиБ) скачан 31 раз(а). .sm file containing a computation I would very much like to plot.
The geometry is shown in the picture below.
Can someone help ?
Thanks,

Reflection.sm (50 КиБ) скачан 31 раз(а).
The geometry is shown in the picture below.
Can someone help ?
Thanks,

Reflection.sm (50 КиБ) скачан 31 раз(а).
#2 Опубликовано: 13.10.2019 18:23:01
Oh ! ... your proposal is not much productive, is it ?
The picture is strictly discontinuous.
Reflection.sm (54 КиБ) скачан 27 раз(а).
The picture is strictly discontinuous.
Reflection.sm (54 КиБ) скачан 27 раз(а).
#3 Опубликовано: 13.10.2019 18:28:17
#4 Опубликовано: 13.10.2019 18:33:49
I don't think L is discontinuous for ddegrees in the range 0 to 60.
What am I missing here ?
L(ddegrees) should vary smoothly from L(0) to L(60)
What am I missing here ?
L(ddegrees) should vary smoothly from L(0) to L(60)
#5 Опубликовано: 13.10.2019 23:00:11
WroteWhat am I missing here ?
You are missing to plot the literal demo diagram,
here is as per your inputs [a,b,s,t].
More is missing from incomplete project description.
Reflection [abst].sm (62 КиБ) скачан 27 раз(а).
#6 Опубликовано: 14.10.2019 11:27:00
WroteYou are missing to plot the literal demo diagram,
here is as per your inputs [a,b,s,t].
More is missing from incomplete project description.
Refreshed from your literal inputs.
You may have to revisit your College Physics book.
Cheers ... Don't hesitate.
Reflection [abst].sm (128 КиБ) скачан 29 раз(а).
#7 Опубликовано: 14.10.2019 11:46:04
WroteI don't think L is discontinuous for ddegrees in the range 0 to 60.
What am I missing here ?
L(ddegrees) should vary smoothly from L(0) to L(60)
Yes the length L is continuous with respect to ddegrees. I think Jean misunderstands the question. See attached. (A little sloppy but it works)
Edit: Updated graph to add labels
Edit2: Had an error in definition of L. Fixed.
Reflection_alyles.sm (177 КиБ) скачан 28 раз(а).
Feel free to join the SMath Studio Users Discord Channel: https://discord.gg/PayZpJW
#8 Опубликовано: 14.10.2019 13:45:09
WroteI think Jean misunderstands the question.
Quite right: misunderstood the travelling distance vs °incidence.
Thanks, interesting project. We need more real projects.
Reflection [abst, alyles].sm (186 КиБ) скачан 27 раз(а).
#9 Опубликовано: 14.10.2019 15:31:04
... You can have it to a good degree of accuracy
as a continuous function, though a bit strange.

Reflection [abst, alyles].sm (252 КиБ) скачан 25 раз(а).
as a continuous function, though a bit strange.
Reflection [abst, alyles].sm (252 КиБ) скачан 25 раз(а).
#10 Опубликовано: 14.10.2019 16:00:54
Wrote... You can have it to a good degree of accuracy
as a continuous function, though a bit strange.
FYI Jean you're using one of my earlier files where I had a copy paste error in the derivation of L(d), the second root term should only have s*tan(d*pi/180). You can get rid of the "c-"
Feel free to join the SMath Studio Users Discord Channel: https://discord.gg/PayZpJW
#11 Опубликовано: 14.10.2019 17:47:14
WroteFYI Jean you're using one of my earlier files where I had a copy paste error in the derivation of L(d), the second root term should only have s*tan(d*pi/180). You can get rid of the "c-"
Thanks ... updated.
The model fit is brute force, limited.
From my 100's models, not one immediate.
If interested: let me know, not sure if possible.
Reflection [abst, alyles].sm (209 КиБ) скачан 25 раз(а).
#12 Опубликовано: 14.10.2019 20:55:19
I understand the idea to tabulate as demanded,
in fact useless as you have the continuous function.
Purely Edu. LinfitCheby added.
No problem to export as a function.
Thanks alyles for completing the project.
Reflection [abst, alyles].sm (232 КиБ) скачан 35 раз(а).
in fact useless as you have the continuous function.
Purely Edu. LinfitCheby added.
No problem to export as a function.
Thanks alyles for completing the project.
Reflection [abst, alyles].sm (232 КиБ) скачан 35 раз(а).
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