Mutual information has been widely used as a promising measure for feature selection and here is defined as (2) M I X ; Y = H X + H Y − H X, Y, where H X) is the entropy of X; X, representing a SNP combination, is the general expression of Position t (p), pbest t (p), and gbest t ; H(Y) is the entropy of the phenotype Y; H X, Y) is the joint entropy of both X and Y.
The inverse analysis provides exact closed-form expressions of position and severity of the crack as functions of deflection measurements for different boundary conditions.
Let p={ p1,…, p t } be set of exon positions and v p l ={ v p l,…, v p l K } be expression values of position p l. Obviously, r(v m, v n )=1 for every position pair (m, n) in p, where r represents Pearson's correlation, because v m k = v k regardless of position m.
The correlation r(v m, v n ) is still 1 even if the expression value of position m is changed by bias and amplification i.e. v m k = A m v k + B m, where A m is the amplified coefficient and B m is bias by sequences around position m, respectively.
In many traffic cultures values which express safety are related to other values like comfort, aesthetic design, expression of social position (prestige), or values that are closer to the core values of the economy, that is, of efficiency and effectiveness.
In the next section we will return to the position that moral claims are merely expressions of attitude, a position consistent with the fact of moral disagreement.
The final expression of his position appeared in The Belief of Catholics (1927).
A well-known expression of this position is Martin Luther's law gospel dialectic, distinguishing how the Christian community is to live in the world as both sinful and righteous at the same time.
The uniform strain hypothesis helps to simplify the prebuckling state and derive the analytical expression of the position of the material elastoplastic interface.
The most developed expression of his position is not to be found in a Commentary on Aristotle, but rather in his De regimine principum, the most successful "mirror of princes" of medieval political thought, which is still conserved in more than 300 manuscripts in its original Latin version, to which many translations in European vernaculars must be added.
Figure 5a and b shows median expression of each position for each of these genes.
