Sentence examples for basis can be defined from inspiring English sources

A new linear basis can be defined for each predictor and various sets of predictors.

A dual orthonormal basis can be defined from the "Hilbert-transformed" wavelet packets φ μ − x 1, x 2 = H ψ m 1 j x 1 − 2 − j n 1 H ψ m 2 j x 2 − 2 − j n 2 (4).

Generating functions for the Bernstein basis functions can be defined as follows.

The Bernstein type basis functions can be defined by means of the following generating function: f_{S,k} x,t b;u,v):=sum_{n=0}^{infty}S_{k}^{n}(x b;u,v) frac{t^{n}}{n!}, (2.2) where (k,b=0,1,ldots,n) and (ngeq b+k).

In the majority of cases, the genetic basis of FH can be defined as a monogenic disorder, and the mode of inheritance can be autosomal dominant (ADH) 1 or recessive (ARH); 9, 10 however, not all dominant disorders have a gene dose effect.

In the polar transform, we use the same interval to discretize angular and roll angles, and thus, the basis filter w t can be defined as begin{array}rcl@ {{boldsymbol{w}}_{boldsymbol{t}}} = left[{w_{{boldsymbol{t}},{theta_{1}}}},{w_{{boldsymbol{t}},{theta_{1}}}}, cdots,{w_{{boldsymbol{t}},{theta_{nz}}}}right] end{array} (19).

Based on the conclusions reached in the preceding analysis, it can be inferred that the units between which the power is going to be balanced in the system will be of a higher hierarchical level than the state and established on the basis of a civilization, which can be defined as the highest form of ethno-cultural community (Fig. 1).

The (l,m th basis element in time-frequency plane can be defined as p l, m = F m · T l (6).

Due to the use of CSP search, the planner constitutes a largely application-independent framework, on the basis of which specific industrial implementations can be defined by supplying the relevant physical, geometrical, and time-related constraints.

Landslide susceptibility (LS) was described by Brabb (1984) as the likelihood of a landslide occurring in an area on the basis of local terrain conditions, and can be defined as the degree to which an area can be affected by future slope movements (Guzzetti et al. 1999, 2005, 2006a, b).

The set of endmembers can be defined on the basis of a priori knowledge about the imaged scene.