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About USL Scalability Modeling with Three Parameters

Started bySky89 <Sky89@sky68.com>
First post2018-07-18 14:15 -0400
Last post2018-07-18 14:35 -0400
Articles 2 — 1 participant

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  About USL Scalability Modeling with Three Parameters Sky89 <Sky89@sky68.com> - 2018-07-18 14:15 -0400
    Re: About USL Scalability Modeling with Three Parameters Sky89 <Sky89@sky68.com> - 2018-07-18 14:35 -0400

#4489 — About USL Scalability Modeling with Three Parameters

FromSky89 <Sky89@sky68.com>
Date2018-07-18 14:15 -0400
SubjectAbout USL Scalability Modeling with Three Parameters
Message-ID<pio040$ofi$10@dont-email.me>
Hello..

Read this:


About USL Scalability Modeling with Three Parameters

As you have noticed i have implemented Universal Scalability Law for
Delphi and FreePascal, and i have also included the executable programs
inside the zip file, you can download it from:

https://sites.google.com/site/scalable68/universal-scalability-law-for-delphi-and-freepascal

But my above USL program is using two parameters , alpha and beta.

Now i am actually implementing the USL with three parameters, read
about it here:

http://perfdynamics.blogspot.com/2018/05/usl-scalability-modeling-with-three.html


So here is the USL function with three parameters that i am passing to 
the following partial derivatives calculator:

https://www.emathhelp.net/calculators/calculus-3/partial-derivative-calculator/?f=%28x%29*k+%2F%281+%2B+%28n*+%28x+-1%29%29%2B+%28m+*+x+*+%28x+-1%29%29%29&var=k&steps=on


Here is the function: (x)*k /(1 + (n* (x -1))+ (m * x * (x -1)))


And here is the partial derivatives that you have to pass
the nonlinear regression solver:

And you have to solve with the order of integration that is k

And you have to solve with the order of integration that is n

And you have to solve with the order of integration that is m


After that you will get your partial derivatives functions that i will
pass to my nonlinear regression solver, so i am actually upgrading
my USL for Delphi and FreePascal to support USL with the three Parameters

So stay tuned ! i will soon bring you the updated version of my
USL that will use three parameters for Windows and Linux and that will 
contain the executable programs for Window and for Linux.



Thank you,
Amine Moulay Ramdane.




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#4490

FromSky89 <Sky89@sky68.com>
Date2018-07-18 14:35 -0400
Message-ID<pio19p$ofi$29@dont-email.me>
In reply to#4489
Hello..

Read this:

I correct a typo:

Here is the USL function with three parameters that you have to solve 
with the partial derivatives calculator:

https://www.emathhelp.net/calculators/calculus-3/partial-derivative-calculator/?f=%28x*k%29+%2F%281+%2B+%28n*+%28x+-1%29%29%2B+%28m+*+x+*+%28x+-1%29%29%29&var=k&steps=on


Thank you.
Amine Moulay Ramdane.

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