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One key innovation of Hamilton's approach is the use of phase space, a 6N dimensional mathematical space, where N is the number of particles constituting the system of interest.
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The same is the case in abstract mathematical spaces, where we can also introduce many different measures.
However, despite their apparent promise, there comes a point when models break, a point in the mathematical problem space where the model cannot, or arguable should not, be used.
Much of the modeling of physical systems takes place in what is called state space, an abstract mathematical space of points where each point represents a possible state of the system.
Equation (10) holds for any real parameter c>0 and then some mathematical properties of the new model are valid in the same parameter space, where those properties of the BIII model hold.
The mathematical nature of the psychometric functions makes it possible to predict theoretically the parameter space where uneconomical choice is expected.
A mathematical challenge related to such network models is to analyse the behaviour in the narrow domains in phase space where at least one variable is close to one of its thresholds, called switching domains.
Obsessions find space where there is space.
The term X denotes an abstract mathematical space of points.
So the very idea of absolute or mathematical space helps to express what true motion is.
Does a finite mathematical space violate the principle of non-revisionism (Section 6).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com