Sentence examples for elements is given by from inspiring English sources
The Vandermonde matrix, with elements, is given by the following [13]: (5).
Consequently, the total number of all partitions of a set of n elements is given by ∑ k = 1 n S n ( k ).
As explained in detail in [12, 13], the radiation pattern of an ESPAR antenna with one active and (M - 1) parasitic elements is given by P = i T a = ∑ m = 0 M - 1 i m a m (1).
The quasi-modal sensor is developed to estimate the dominant mode coordinates of the shell from the outputs of the sensor patches, and a criterion for finding the optimal locations and sizes of the sensor elements is given by minimizing the observation spillover.
where each of its elements is given by {D}_{left(m,nright)}=left{begin{array}{ccc}hfill {b}_Nhfill & hfill hfill & hfill ifleft left(m+nright)=Nright)hfill hfill {b}_{left(m+nright) mod N}hfill & hfill hfill & hfill otherwisehfill end{array}right} (8)and the frequency index m = 1, 2,..........., M, and the time index n = 1,2,.........,N.
The LSC for the particular class of grillage types discussed herein, with all combinations of basic boundary support conditions, states that: The collapse load intensity, P u of the twistless grillage system, composed of flexural and/or articulated elements, is given by the sum of the collapse load intensities P x and P y of any two such intersecting beams or trusses, i.e. P u = P x + P y (2).
The elements are given by.
diag(A) returns a matrix comprising only the diagonal elements of A. Diag(b) is the diagonal matrix whose diagonal elements are given by the vector b.
where M is the atomic mass of Ge, I stands for the identity matrix, and Φ is the dynamical matrix, whose elements are given by (3).
Its elements are given by, where ∆P (l) is the difference between the powers of two MF models at degree l.
where, is the joint PDF of, is a constant coefficient, is a generic function, and are and matrices, respectively, whose elements are given by (2). with being an arbitrary constant, 's and 's being a generic function.
