Sentence examples for sphere function from inspiring English sources

Open image in new window Fig. 13 The sphere function.

Since the simple distribution function is defined on the spherical surface, for simplicity, it is termed as sphere function hereafter.

In first case, the sphere function as a challenging optimization problem is investigated and it is demonstrated that the GSA has reliable fitness values (3.7602e-17).

Fully non-separable functions (F_{19})–(F_{20};)  where the sphere function, the rotated elliptic function, Schwefels Problem 1.2, Rosenbrock function, the rotated Rastrigins function, and the rotated Ackleys function are used as the basic functions.

These 7 test functions are Shifted Sphere Function ((F_{1})), Shifted Schwefel's Problem 2.21 ((F_{2})), Shifted Rosenbrock's Function ((F_{3})), Shifted Rastrigin's Function ((F_{4})), Shifted Griewank's Function ((F_{5})), Shifted Ackley's Function ((F_{6})), and FastFractal "DoubleDip" Function ((F_{7})).

In this paper, we present the (L^{p}) mapping properties of multiple singular integrals related to homogeneous mappings with rough kernels given by the radial function (hinDelta_{gamma}) (or (hin U_{gamma})) for some (gamma>1) (or (gammageq1)) and the sphere function (Omegain L log^L)^{2} (S^{m-1}times S^{n-1})) (or (Omegain L log^L)^{2/gamma'} (S^{m-1}times S^{n-1}))).

The sphere function-based gas kinetic scheme (GKS), which was presented by Shu and his coworkers [23] for simulation of inviscid compressible flows, is extended to simulate 3D viscous incompressible and compressible flows in this work.

Also noticeable are the coordinates of six sphere functions (undef. are nondefined, predominantly of singular value, and 0 are zeros of this function).

Nevertheless, a better knowledge on the causes of firms' failure is not only wished for an improvement of financial sphere functioning.

The comprehensive parameter sensitivity study was conducted on seven test functions: B2, Beale, Booth, Wood, Rastrigin, Rosenbrock and Sphere Functions to search for common patterns and relationships each parameter has in producing the optimum solution.

The nanometer-sized grains ensure large specific surface area (∼69.2 m2 g−1) and pore size (∼19 nm) for high QD loading, while the sub-micrometer-sized spheres function as efficient light scatters and robust electron transporting structures.