Sentence examples for classical basis from inspiring English sources

Is there a classical basis for a warranted Chinese skepticism and could the more credulous readings of the text withstand the critical challenge of such a skepticism?

The paper Hansen, Bolander, and Braüner (2008) gives a tableau-based decision procedure for many-valued hybrid logic, that is, hybrid logic where the two-valued classical logic basis has been generalized to a many-valued logic basis involving a truth-value space having the structure of a finite Heyting algebra.

It is a natural extension to classical Bernstein basis functions.

where B k n ( y ) denotes the classical Bernstein basis function.

Ali [37] has formulated a classical radial basis function collocation method for solving the MRLW equation.

Ali [35] has formulated a classical radial basis functions (RBFs) collocation method for solving the MRLW equation.

Moreover we show that the weighting needed by the Classical Hierarchical basis to maintain partition of unity has significant implications on the conditioning numbers.

This leads to smaller networks compared to classical radial basis functions or probabilistic neural networks and therefore enables the use of large data sets with satisfactory classification accuracy.

Remark 2.4 Substituting s = 1 into (4), we obtain the subdivision property for the classical Bernstein basis functions: B b n ( x y ) = ∑ k = b n B b k ( x ) B k n ( y ).

Remark 1.2 If we set s = 1 in (2), we have S n ( b, 1, x ) = B b n ( x ), which denotes the classical Bernstein basis function (cf. [1 7]).

The authors present a method of numerical approximation of the fixed point of an operator, specifically the integral one associated with a nonlinear Fredholm integral equation, that uses strongly the properties of a classical Schauder basis in the Banach space.