Sentence examples for discrete formula from inspiring English sources
The discrete formula for a set of ranked molecules is given as follows AUC = 1 nN ∑ i = 2 N A i ( I i − I i − 1 ), (1).
Detailed discrete formulas and nontrivial computational examples are provided to show the feasibility of both the adjoint and hybrid approaches.
In this section, we collect discrete formulae for saddle point problem (8a - 8b) and the associated inverse problem.
Now, the Crank-Nicholson method with the discrete formulas (3.1), (3.2) and (3.4) is used to estimate the space variable-order fractional derivative to solve numerically the VO space fractional Schrödinger equation (2.3).
Discrete Gaussian formula [29].
We also will use the following discrete Taylor formula.
Our results are based on discrete Gaussian formula and some basic theories of discrete fractional calculus.
The proof of the discrete Lefschetz formula is graph theoretical and especially does not involve any limits.
Then clearly the fractional discrete Taylor formula (2.3) is valid only for (tin [ a+m,b]), (a+m< b).
Using the discrete Gaussian formula and noting the boundary condition (B2), it follows from (19) that sum_{minOmega}Lu(m,n)=sum _{minpartialOmega}Delta _{N}u m-1,n)=sum _{miN}u m-1,nmega}phi(m,n),quad ninmathbb{N}_{a}.
The discrete Gaussian formula and (B1) yield sum_{minOmega}Lu(m,n)=sum _{minpartialOmega}Delta _{N}u m-1,n)=sum _{miN}u m-1,nmega}-g(m,n)u(m,n)geq 0,quad ninmathbb{N}_{a}.
