Summation Equivalent

Summation Equivalent - Messages

#1 Posted: 2021/12/9 09:10:03
ianlh

ianlh

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Hi,

I am trying to convert a Mathcad 15 sheet, and have a problem with the below equation:
sum.JPG
Is there a summation within Smath that will do the second summation?
From the Mathcad help:
sum1.JPG

Thanks in advance
Ian
#2 Posted: 2021/12/9 12:33:55
Alvaro

Alvaro

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Hi. There are not equivalent, but this is how to convert it into usual summation operator.

img0.png

Best regards.
Alvaro.
#3 Posted: 2021/12/10 05:15:00
ianlh

ianlh

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Hi,

Still cant get it to work, I will strip out the identifying material and post the worksheet.

Thanks
Ian
#4 Posted: 2021/12/10 07:12:21
ianlh

ianlh

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Attached is sheet, this is a MRM for beam frequency analysis

natural freq 5 v2 forum.sm (58.25 KiB) downloaded 708 time(s).
#5 Posted: 2021/12/10 08:18:09
Jean Giraud

Jean Giraud

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Wrote

Attached is sheet, this is a MRM for beam frequency analysis


Sum over 'n' ... NOT over 'k'
Model summation attached.

Function Running Summation.sm (32.66 KiB) downloaded 726 time(s).

#6 Posted: 2021/12/10 08:39:51
Вячеслав Мезенцев

Вячеслав Мезенцев

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Wrote

Attached is sheet, this is a MRM for beam frequency analysis



Better to attach the original Mathcad document.
Russia ☭ forever, Viacheslav N. Mezentsev
#7 Posted: 2021/12/10 11:24:34
ianlh

ianlh

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Mathcad sheet attached, striped version
beam frequency test 2.xmcd (171.06 KiB) downloaded 693 time(s).

Jean, I am at a loss as to which part of your file I should be looking at.

Ian
#8 Posted: 2021/12/10 11:48:32
Alvaro

Alvaro

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Hi. As Viacheslav says, it's better in this case the mathcad file. Just a couple of notes.

You use a for loop with i as counter. Thus, at the exit, i equals the last count value, not the entire range. So, or you redefine i as range, or use this way for not changing i value

img1.png

Actually, SMath doesn't have "range" variables, it only have scalars and matrices. But mathcad have "true" range variables, which it's more a complication than an adventage. BTW in SMath you can't use a range variable in the same way, and sometimes needs some dummy variable for detect them

img0.png

Finally, remember that in mathcad sqrt(-1) is 1i, but in SMath it is just i, so using is as counter you loose all the complex algebra.

Bests regards.
Alvaro.
#9 Posted: 2021/12/10 12:30:05
Jean Giraud

Jean Giraud

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Jean, I am at a loss as to which part of your file I should be looking at.


It just shows how to run summation wrt several dependent functions.
#10 Posted: 2021/12/10 13:33:41
ianlh

ianlh

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Hi Alvaro,

Some interesting hints there. I imagine its also the same going the other way.

Hi Jean,

OK, now I understand, just some pointers for me

Thanks
Ian
#11 Posted: 2021/12/10 13:46:48
Jean Giraud

Jean Giraud

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Hi Jean,
OK, now I understand, just some pointers for me
Thanks
Ian


The A,B are numerical two vectors of coefficients.
Then introduced in the scalar function wrt sin/cos.

#12 Posted: 2021/12/10 15:00:17
Вячеслав Мезенцев

Вячеслав Мезенцев

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I am trying to convert a Mathcad 15 sheet, and have a problem with the below equation:


I think that there should be such a replacement.

File not found. File not found.
Russia ☭ forever, Viacheslav N. Mezentsev
#13 Posted: 2021/12/10 15:09:11
Вячеслав Мезенцев

Вячеслав Мезенцев

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You can use debugging in both programs to check that the functions are working correctly.

Click to enlarge
Russia ☭ forever, Viacheslav N. Mezentsev
#14 Posted: 2021/12/10 15:50:04
ianlh

ianlh

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Hi,

Thanks for the pointers, will revisit tomorrow

Ian
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