Sentence examples for given planar from inspiring English sources

Also, the same vector applies everywhere on a given planar facet.

We consider the q-analytic functions on a given planar domain Ω, square integrable with respect to a weight.

With respect to the maximum norm we characterize the necessary and sufficient condition for the conic section to be optimal approximation of the given planar curve.

Generalized Sturm-Liouville solutions, which connect the graphs of two functions or given planar continua, have been considered as well (see [18 20]).

By solving the isotropic condition of the stiffness block matrix, all design parameters of springs can be obtained for any given planar articulated manipulator with prescribed dimensions and inertia.

The final output of the algorithm is a set of polygons, where each polygon is defined by a set of boundary points that replaces large number of coplanar data points in a given planar region.

DFT calculations give planar optimal geometries for ground and excited states.

The reaction of (η- N, N-dimethylaminomethyl)cyclopentadien-yl)(η- NtrapheN-dimethylaminomethyl cyclopentadien-yltrachloropalladate aN-dimethylaminomethyl cyclopentadien-ylar chiral palladacycle di-μ-chloridebis[(η-(Sp)-2-(N-dimethylaminomethyl cyclopentadien-ylyl,1- C,3′- N)(η-tetraphenylcyclobutadiene cobalt]dipalladium [(Sp)-Me2-CAP-Cl] in 92 % ee and 64 % yield.

Given a planar domain Ω, we study the Dirichlet problem textstylebegin{cases} operatorname {div}A x, nabla v)= f & mbox{in } Omega, v=0 & mbox{on } partialOmega, end{cases} where the higher-order term is a quasilinear elliptic operator, and f belongs to the Zygmund space (L (log L ^{delta} (logloglog L ^{frac{beta}{2}}(Omega)) with (betageq0) and (deltageq frac{1}{2}).

Given a planar convex domain K of area (A_{K}) and perimeter (L_{K}), by growing in the unit-speed along the direction of the outward normal, the area of the corresponding domain, which is denoted by (A_{K}(t)), is a polynomial in t, which is known as the Steiner polynomial, that is, A_{K}(t)=A_{K}+L_{K}t+pi t^{2}.

Given the planar shape and functional type of a room, and a set of furniture in which a subset of furniture have been specified colours, this paper proposes a data-driven approach to automatically assign colours to the rest of the room and furniture items such that the whole colour tone is harmonious.