Full vector

Here, the loading vector p, contains the coefficients of the separate univariate regressions of the individual X-variables on t,. The / element of p, p j, represents the regression coefficient of it regressed on t, py = tj j The full vector of... 

Full vector. All the independent and dependent variables constitute the vector of variables in the search. 

G.R. Hadley and R.E. Smith, Full-vector waveguide modeling using an iterative finite-difference method with transparent boundary conditions, J. Lightwave Technol. 13, 465-469 (1995). 

T. Fujisawa, and M. Koshiba, Full-vector finite-element beam propagation method for three-dimensional nonlinear optical waveguides. Journal of Lightwave Technology 19, 1876-1884 (2002). 

For multiple reactions, Eq. (2.1-3) is solvable for the full vector T tot if and only if the matrix n has full rank NR, i.e., if and only if the rows of v are linearly independent. If any species production rates Ri,tot are not measured, the corresponding columns of u must be suppressed when testing for solvability of Eq. (2.1-3). Gaussian elimination (see Section A.4) is convenient for doing this test and for finding a full or partial solution for the reaction rates. 

Set Info(2) = l if you specify Rtol and Atol as arrays. Tolerances on the state variables suffice if Info(15)=0 tolerances are needed for the full vector U if Info(15) = l. 

For electrons (being fermions of spin 1/2) a scalar wave approximation is often used, whereas for photons (being bosons of spin 1), the full vector field needs to be taken into consideration (see Optics Express, vol. 8, no. 3, 2001, for a focus issue on photonic band gap calculations). 

This is an expression giving the eigenvalue of the original equation and the component of the vector corresponding to the first block of the full vector. Substitution of u, determined from Eq. (38), into Eq. (37) gives the unnormalized full vector. This matrix partitioning approach applied to the... 

For the full vector model, the complete solution of Maxwell s equations is used, while accounting for the vector directions is required. This model is valid for all angles and numerical apertures. 

In general let us denote through X(t) = [ Xk(t) ]( a full vector of coordinates of net s points, with occurring dependence... 

That is, one can show that cjp = 0, where/ is the full vector field associated to the Nos6-Hoover system. 

The idea for this is to convert Eqs. 12.266 into the full vector-matrix format, that is, the index of Y is j and the counting of this index runs from 1 to N + M + 3, the full dimension of the unknown matrix Y. Likewise, we can do this for Eqs. 12.266b to e, and obtain... 

Find the term symbol for only the lowest-energy term (including value) of the [Ar]4s 3d excited state of scandium. Do not use the full vector model for this problem (there are 90 individual Mi, Ms states). 

For an arbitrary rotational motion, the full vector expression of the angular momentum along any direction in space must be considered, with its three components ... 

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