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December 10th, 2018, 07:40 PM   #1
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From: santiago

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Doubt parameterization

Good afternoon guys, I'm studying some math and I came across a problem. It is necessary, from a graph obtained through experiments, to carry out the parameterization of this one. Honestly, I did not quite understand what he wants with this parameterization. Follow the graph below (on the logarithmic scale). exemplo.jpg

Intuitively, I thought of this parameterization as a way to describe the graph mathematically, for that I divided it into 2 regions of the domain and for each one I found a corresponding function, for example, in the first region, I found a first degree equation (a and b would be the parameters?) and so on. Does it have anything to do with it? If not, what would this parameterization be? Thanks in advance!
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December 10th, 2018, 08:53 PM   #2
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A first degree equation would have a straight line graph, but there is an evident curve in the "left-hand part" of the graph that's particularly noticeable near the "right-hand part".
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December 11th, 2018, 05:04 AM   #3
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Hello skipjack, thanks for the answer. Ok, so, briefly (in this case), is the parameterization really finding the parameters (for example, parameters of functions and so on) needed to "write" the experiment mathematically?
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December 11th, 2018, 07:40 AM   #4
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Does the question relate to an invented problem or to a real experiment? The graph looks very artificial to me, and doesn't even tell you what is being represented on the two axes or how accurate the data is. The horizontal axis has no number labels.
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December 11th, 2018, 08:04 AM   #5
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It's just a hypothetical problem. In fact, it says, I did not put it, they are particle interactions, the x axis represents the energy of the incident particle, I took off the values to get clearer in the figure. (the y-axis, is the cross-section of the interaction). The idea is to parameterize this. Thanks again and sorry for the inconvenience.
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