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create a function from values - i have a table of values with the corresponding time and need a function i can differentiate - Сообщения
#1 Опубликовано: 27.11.2019 18:04:57
hi i have a table of values [R(t=60)=50965] with no obvious pattern and i need to create a function to fit into the formula
1/T = d (ln(R(t)) / dt
my thought was to make S(t)=ln(R(t)) and do d(S(t))/dt but i dont know how to turn a bunch of values into a function in smath and excel doesnt understand the function properly (i left out the last value and did auto complete and it was too far off)

R(t) is in counts per second
and i am solving for T
1/T = d (ln(R(t)) / dt
my thought was to make S(t)=ln(R(t)) and do d(S(t))/dt but i dont know how to turn a bunch of values into a function in smath and excel doesnt understand the function properly (i left out the last value and did auto complete and it was too far off)
R(t) is in counts per second
and i am solving for T
#2 Опубликовано: 27.11.2019 18:30:00
WroteWrotehi i have a table of values [R(t=60)=50965] with no obvious pattern and i need to create a function to fit into the formula
1/T = d (ln(R(t)) / dt
Start by creating the Smath data table, attach in the Forum.
Your wording looks very alike fitting the laser project.
Toke > 1 month to do in Mathcad as it was so unusual.
But we had lot more data points.
Jean
HW8Q1.sm (2 КиБ) скачан 26 раз(а).
do you mean like a matrix?
#3 Опубликовано: 27.11.2019 19:01:34
#5 Опубликовано: 27.11.2019 19:08:35
#6 Опубликовано: 27.11.2019 21:14:47
#7 Опубликовано: 27.11.2019 22:14:46
thank you so much
as much as i would like to say part b of the question i need to do my own homework i just couldnt understand how to get the equation of that line
thanks again
as much as i would like to say part b of the question i need to do my own homework i just couldnt understand how to get the equation of that line
thanks again
#8 Опубликовано: 28.11.2019 00:03:25
Wrotethank you so much
as much as I would like to say part b of the question I need to do my own homework I just couldn't understand how to get the equation of that line
1. You mean equation of the straight red line of the first plot ?
2. Or: the piece wise linterp between the support points ?
linterp, cinterp, ainterp are built-in Smath from f(x) menu.
The straight line in [1] can be manipulated a bit from statistical methods [Not Smath built-in].
Also, if you don't like the rough bifurcation at the supports
points, easy to fillet for smooth path.
No more need for the first replies before the last attachment,
then will be removed.
Cheers ... Jean
#9 Опубликовано: 28.11.2019 01:35:47
I think you can also use the least-squares method to find the equation that best fits your data.

Ajust_by_Last_Square_Selection_Engineering_studente.sm (62 КиБ) скачан 39 раз(а).
Best Regards
Carlos
Ajust_by_Last_Square_Selection_Engineering_studente.sm (62 КиБ) скачан 39 раз(а).
Best Regards
Carlos
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sergio 28.11.2019 06:00:00
#10 Опубликовано: 28.11.2019 08:55:51
Here is Cholesky [Least Squares], otherwise.
Ge sensor [Germanium] is an exceptional application.
Jean

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Data.sm (54 КиБ) скачан 35 раз(а).
Ge sensor [Germanium] is an exceptional application.
Jean
Genfit 0 Ge SubCryogenic.sm (39 КиБ) скачан 39 раз(а).
Data.sm (54 КиБ) скачан 35 раз(а).
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