例句與造句

1. In particular, we have for Chebyshev nodes:
2. We conclude again that Chebyshev nodes are a very good choice for polynomial interpolation.
3. Let denote the-th Chebyshev node.
4. However, there is an easy ( linear ) transformation of Chebyshev nodes that gives a better Lebesgue constant.
5. For Chebyshev nodes, which provides a suboptimal, but analytically explicit choice, the asymptotic behavior is known as
6. It's difficult to find chebyshev nodes in a sentence. 用chebyshev nodes造句挺難的
7. For better Chebyshev nodes, however, such an example is much harder to find due to the following result:
8. The Chebyshev nodes are important in approximation theory because they form a particularly good set of nodes for polynomial interpolation.
9. We conclude again that Chebyshev nodes are a very good choice for polynomial interpolation, as the growth in " n " is exponential for equidistant nodes.
10. For every absolutely continuous function on the sequence of interpolating polynomials constructed on Chebyshev nodes converges to " f " ( " x " ) uniformly.
11. The Padua points provide another set of nodes with slow growth ( although not as slow as the Chebyshev nodes ) and with the additional property of being a unisolvent point set.
12. Chebyshev polynomials are important in approximation theory because the roots of the Chebyshev polynomials of the first kind, which are also called Chebyshev nodes, are used as nodes in polynomial interpolation.
13. This behaviour tends to grow with the number of points, leading to a divergence known as Runge's phenomenon; the problem may be eliminated by choosing interpolation points at Chebyshev nodes.
14. Using the error expression of interpolation polynomial one obtains that we can approximate the function sin on the interval [ 0, 2 ^ n ] with an error bounded by \ approx \ frac 1 { n ! } using n points ( in Chebyshev nodes ).
15. These are the " roots " of T _ N ( \ cos \ theta ), and are known as the Chebyshev nodes . ( These equally spaced midpoints are the only other choice of quadrature points that preserve both the even symmetry of the cosine transform and the translational symmetry of the periodic Fourier series . ) This leads to a formula: