Sentence examples for the inverse of the relation from inspiring English sources

The inverse of the relation (mathcal {R}) is (mathcal {R}^{-1} = { e, e') | (e', e) in mathcal {R}}).

The cumulative distribution function D x,z) of the density function n x,z) is divided equally with respect to the total particle number N p, and each particle position (x i,z i ) (i: particle number, 1≤i≤N p) can be obtained by solving the inverse of the relation D x i,z i )=i/N p. This procedure was performed numerically because it could not be done analytically because of the 2D setup.

The authors define a kernel κ r, d as the decomposition kernel on the relation R r, d, that is, (1) where R r, d −1 is the inverse of the relation R r, d and indicates all the possible pairs of neighborhood subgraphs of radius r, whose root vertices are at distance d in the given graph G, 1 denotes the indicator function, and ≅ the isomorphism between rooted graphs.

The relation has-phene is the inverse of the phene-of relation, i.e. whenever an individual x is the phene-of an individual y, then y stands in the has-phene relation to x.

For a multivariate normal distribution, the precision matrix P (which is the inverse of the covariance matrix, ) encodes independence relations between variables in the form of partial correlations.

The inverse of the slope of the heat-stress relation is hence an index of crossbridge economy.

According to (10) and (11), the received energy decreases in relation to the inverse of the square of the distance to the source.

Participates_ in and Agent_in represent the inverse of relations Has_participant and Has_agent, respectively.

Location_of and Contains represent the inverse of relations Located_in and Contained_in, respectively.

Derived_into and Precedes represent the inverse of relations Derives_from and Preceded_by, respectively.

Our data provide strong evidence for a robust association between muscle phospholipid PUFA content and MRS. In view of the inverse slopes of the relations between MRS and n-6 and n-3 PUFAs (Fig. 1) it is clear that the positive relation of MRS to total PUFAs can be attributed to the relative abundance of n-6 PUFAs alone (which made up ∼75% of all PUFAs).