Sentence examples for basis and applying from inspiring English sources
Using the number of students in the school districts within the city as the basis and applying probability proportional to size (PPS) sampling, this survey sampled 128 municipal districts in all of the country's municipal districts.
By using the first n, no less than l, linear undamped modal functions as a functional basis and applying the Galerkin procedure, a 2n-degree-of-freedom discrete model with quadratic and cubic terms owing to geometric effect is derived.
On this basis, and applying corresponding provincial population estimates from Statistics Canada [ 36], the annual dispensing rates for each PO, as well as for 'weak POs' and 'strong POs' were calculated for each province, as well as the Canada total, as the number of DDDs per 1000 population/day, and compared inter-jurisdictionally and over-time.
The study considers Complexity Theories of Cities as the theoretical basis and applies a holistic approach in city planning by recognizing the complex nature of city.
We designed a virtual decision function (VDF) reflecting the continuous progress of binary decisions on a single-trial basis, and applied it to the ensemble activity of SC neurons.
They run on a non-profit basis and apply the basic principle of risk sharing with community participation in design and management.
Using the most energetic empirical eigenfunctions for the velocity and temperature fields as basis functions and applying Galerkin's method, low-order models consisting of few non-linear ordinary differential equations are obtained.
The rigorous process model and the obtained simulation results presented in this study provide a promising basis for developing and applying optimal start-up policies for dividing-wall columns.
end{aligned} Using again that ({w_{n} : n inmathbb{N}_{0} }) is an orthonormal basis of X, and applying (5.13), we obtain begin{aligned} biglVert S t, s) x^{prime}bigrVert ^{2} = & sum _{n = 1}^{infty} r_{n} t,s)^{2} n^{2} biglvert langle x, w_{n} ranglebigrvert ^{2} leq& frac{1}{b s)} sum_{n = 1}^{infty} biglvert langle x, w_{n} ranglebigrvert ^{2} leq& frac{1}{b s)} Vert xVert ^{2}.
The technique uses Tchebychev polynomials as spatial basis functions, and applies Galerkin's method to obtain the spatially discretized equations of motion.
The wavelet transforms are used as basis functions and applied in conjunction with the method of moments to obtain the current distribution in the antenna.
