Sentence examples for basis function is defined from inspiring English sources

The diagonal matrix representing the th basis function is defined as, and the Toeplitz matrix is defined as.

where the Bernstein basis function is defined by p n, k ( x ) = n k x k ( 1 − x ) n − k Open image in new window.

A new basis function is defined as where represents any normalized pulse shape satisfying the nonnegativity constraint, with in the bit period and otherwise, and is the electrical energy.

We are interested in modelling the cumulative excess hazard on the log scale (7) where x = ln(t) and s(x; γ 0) is a restricted cubic spline function, defined as (8) where K is the number of knots and the j th basis function is defined as v1 x) = x, and for j = 2,..., K - 1 as (9) where u+ = u if u >0 and u+ = 0 if u ≤ 0, k1 is the position of the first knot, k K the position of the last knot, and.

Where N i, p (u s are B-spline basis functions of degree p. The degree of B-spline basis functions is defined by p. The i th B-spline basis function of degree p, written as N i, p (u), is defined recursively as follows: N i, 0 u = 1 0 if u i ≤ u < u i + 1 otherwise (2) N i, p u = u − u i u i + p − u i N i, p − 1 u + u i + p + 1 − u u i + p + 1 − u i + 1 N i + 1, p − 1 u (3).

Basis functions are defined at several levels of resolution, and all low-resolution basis functions are linear combinations of high-resolution functions so that any distortion field (x,y,z) can be represented consistently at any resolution level.

Following the NEFEM framework, the basis functions are defined in the physical space and the numerical integration is realized with a special mapping which takes into account the exact definition of the boundary.

The factor depicting basis functions was defined as a two-level factor with unequal variance across the levels and sphericity not assumed.

The discrete normalized scaling and wavelet basis functions are defined as (1) φ i, n t = 2 i / 2 φ 2 i t − n, ψ i, n t = 2 i / 2 ψ 2 i t − n, where i and n are the dilation and translation parameters.

Renal function was defined on the basis of estimated glomerular filtration rate (eGFR), calculated using either the Modification of Diet in Renal Disease (MDRD) equation (modified for Chinese adults) or the Chronic Kidney Disease -Epidemiology Collaboration (CKD-EPI) equation.

Preserved β-cell function was defined on the basis of cut points derived from the Diabetes Control and Complications Trial (DCCT) (fasting C-peptide ≥0.23 ng/ml) and from the U.S. adolescent population of the National Health and Nutrition Examination Survey NHANESS) 5th percentile for fasting C-peptide (≥1.0 ng/ml).