Recent content by BasicPoke
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MHB Solve system of two variables involving 3rd order polynomials
Thanks for the clarification...There only 4 s measurements because of the following process. s is assumed to be constant over each 4 recordings of p, but in reality it is not exactly the same. I think we could record all 16 values of s and not increase the complexity of the calculations, since...- BasicPoke
- Post #18
- Forum: Linear and Abstract Algebra
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MHB Solve system of two variables involving 3rd order polynomials
I am understanding better the more I stare at this problem. During calibration of sensors 's' and 'p', there is an instrument that can accurately set the physical quantities S and P. Since these are accurate, I am calling them 'actual' values. When the instrument is set to a actual values...- BasicPoke
- Post #16
- Forum: Linear and Abstract Algebra
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MHB Solve system of two variables involving 3rd order polynomials
We're not quite on the same page here on some of this. My intent was to refer to them as p and s. Exactly. Exactly. I said there was only one of these, which is true in the final system, but in calibration & the equations there are 4 actual values: P0, P1, P2, P3. Not really. The p sensor...- BasicPoke
- Post #14
- Forum: Linear and Abstract Algebra
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MHB Solve system of two variables involving 3rd order polynomials
The output of the p sensor is a single number, at 16 different sets of conditions. Yes, you are correct on the 4 actual values of P. I suppose we are also using P to mean a calculated value in the final system (of which there is only one). Ron- BasicPoke
- Post #12
- Forum: Linear and Abstract Algebra
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MHB Solve system of two variables involving 3rd order polynomials
Also, I don't know what you mean here by the notations Pxx and px. There are actually 16 different values of px (small p) read from the p sensor. There are 4 actual (target) values of P. Ron- BasicPoke
- Post #8
- Forum: Linear and Abstract Algebra
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MHB Solve system of two variables involving 3rd order polynomials
I like Serena, I don't know what it means to show a vector as an element in a matrix. Is there some other way you can write this (or part of it) for me, regarding your last post. Ron- BasicPoke
- Post #7
- Forum: Linear and Abstract Algebra
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MHB Solve system of two variables involving 3rd order polynomials
I think you are onto something there. This looks similar to some of the documentation I have, except I am not familiar with vectors being elements of a matrix. If this were multiplied out, it is looking familiar. I was hoping someone has this process written out and doesn't have to go thru it...- BasicPoke
- Post #5
- Forum: Linear and Abstract Algebra
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MHB Solve system of two variables involving 3rd order polynomials
That looks much better Ackbach. I don't know what LATEX is. It looks like I cannot see all of the buttons on this editor so can't really format anything. No, I need to find the b constants b00, b01, b02, etc. All of this is used to calibrate an instrument that measures p and s from non-ideal...- BasicPoke
- Post #4
- Forum: Linear and Abstract Algebra
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MHB Solve system of two variables involving 3rd order polynomials
Hello, I am trying to understand how to solve a system of two variables (let's say s and p representing two physical quantities), where there is a third-order polynomial representing each. I'm not sure I am describing this correctly in words, but here is the system I need to solve. P = a0 +...- BasicPoke
- Thread
- Polynomials System Variables
- Replies: 17
- Forum: Linear and Abstract Algebra