:: : And the above gives you the two free parameters b and c, so you can pin down desired values of two things : var ( Y ) and corr ( X, Y ).
42.
In other cases, though, \ bold { w } remains and hence an infinitude of potential values of the free parameter vector \ bold { w } give an infinitude of solutions of the equation.
43.
\textstyle \ | \ mathbf { x }-\ mathbf { x'} \ | ^ 2 may be recognized as the squared Euclidean distance between the two feature vectors . \ sigma is a free parameter.
44.
Otherwise the general solution has " k " free parameters where " k " is the difference between the number of variables and the rank; hence in such a case there are an infinitude of solutions.
45.
Wickens et al ., ( 2008 ) also generated a version of the model that does not require absolute estimation of the free parameters for the environment-just the comparative salience of other regions compared to region of interest.
46.
This simple theory, with no free parameters at all, suggests that in those structures complex enough to contain self-aware substructures ( SASs ), these SASs will subjectively perceive themselves as existing in a physically " real " world.
47.
The anthropic idea that fundamental parameters are selected from a multitude of different possibilities ( each actual in some universe or other ) contrasts with the traditional hope of physicists for a theory of everything having no free parameters.
48.
In de Sitter relativity, the cosmological constant is no longer a free parameter of the same type, it is determined by the de Sitter radius, a fundamental quantity that determines the commutation relation of translation with rotations / boosts.
49.
The problem was that although Loop quantum gravity predicted that the entropy of a black hole is proportional to the area of the event horizon, the result depended on a crucial free parameter in the theory, the above-mentioned Immirzi parameter.
50.
There may be patterns among the marginal and relevant couplings so that among all the possible models which give rise to the Standard Model universality class, one of them has fewer free parameters than the others allowing it to make predictions.
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