Sentence examples for formula represented by from inspiring English sources
Therefore, the formula represented by Eq. (17) is proved to be true.
In particular, the value true is returned if one can construct a spanning mating for the matrix Mat and thus the formula represented by Mat is a tautology.
To evaluate each individual, we take each training query, compute a ranking of images using the formula represented by the individual, and then compute the MAP results obtained in such ranking.
Another benefit of the connection calculus is the independence of a truth value of a formula, represented by a matrix, from some operations performed on matrices, which in particular correspond to commutativity of conjunction and disjunction symbols.
As a result, the formula is represented by {mathrm{R}}_fleft(theta, tright)={int}_{R^2}fleft({x}_1,{x}_2right delta left({x}_1cos theta +{x}_2sin theta -tright){dx}_1{dx}_2 (11).
Finally, the standard BEM formula is represented by a numerical integral, with the result left{ G right} times left{ Q right} = left{ H right} times left{ {phi - eta (Q)} right}.
The general formula is represented by the equation P1+P2⋅sin(−2⋅π12⋅(The3)) The mean 25(OH D concentration and the amplitude of the variation were significantly higher for the YOUNG and ACTIVE groups than for the COMMUNITY and NURSING groups.
Their agreement was estimated, based on the following formula [ 20, 21]:, where: x = the number of quality criteria common between the two (2) reviewers ψ = the number of criteria used by reviewer A' (10, in total) ω = the number of criteria used by reviewer B' (10, in total) In this study, this equation formula is represented by a level of agreement β = 1.
Hence, the prediction formula can be represented by Eq. (11).
The general formula of carboranes is represented by C2BnHn + 2, in which n is an integer; carboranes with n ranging from 3 to 10 have been characterized.
Theorem 2 Assume that y 1 and y 2 are two positive solutions of (1) on [ t 0 − r, ∞ ) satisfying (2). Then every solution y of (1) on [ t 0 − r, ∞ ) is represented by formula (3), where t ∈ [ t 0 − r, ∞ ) and a coefficient K ∈ R depends on y. This is the reason for introducing the following definition. Definition 1 [2].
