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Since the second law of thermodynamics has a precise mathematical definition, this argument can be analyzed quantitatively.
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As defined below (see Mathematical definition), the Laplace Runge Lenz vector (LRL vector) A always lies in the plane of motion for any central force.
As follows from its mathematical definition, the values of the S-estimator are bounded within the interval [0,1], and thus they cannot be normally distributed.
Because k-means clustering is processed by mathematical definition, the clustering result sometimes seems to be different from what would be expected.
To capture this effect we defined an overall taste-sensitivity parameter OTS (see Supplementary Material, Fig. S2 for a graphical representation of the overall taste-sensitivity concept and the methods section for a mathematical definition of this parameter).
Recently, a formal mathematical definition of this type of context coupling in biochemical systems (called retroactivity), similar to the concept of impedance, has been developed [ 22, 23] and advances some approaches to mitigating these effects.
This mathematical definition is an alternative to the definition of biological interaction as a departure from additivity [38], [39].
In this work, a new mathematical definition is proposed to represent the general variation of fibre-orientation in the VAT plate.
Towards this we require the mathematical definition of a restriction: If R is any binary relation on a set S, and if T is a subset of S, R| T is the restriction of R to T. DEFINITION (regularity).
This leads to the mathematical definition of LA: (1) LA (X, Y | Z ) = E (g' (Z )) A simple estimation of LA score is available if Z follows the standard normal distribution: LA X, Y| Z) = E XYZ) [ 18].
To calculate this point, we need a mathematical definition for the 'elbow' of a curve.
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