Bernstein polynomial

노트

위키데이터

• ID : Q826841

말뭉치

1. Recently the Bernstein polynomials have been defined and studied in many different ways, for example, by q-series, by complex functions, by p-adic Volkenborn integrals, and many algorithms (cf.
2. The Bernstein polynomial bases vanish except the first polynomial at , which is equal to 1 and the last polynomial at , which is also equal to 1 over the interval .
3. Many properties of the Bézier curves and surfaces come from the properties of the Bernstein polynomials.
4. Due to the increasing interest on Bernstein polynomials, the question arises of how to describe their properties in terms of their coefficients when they are given in the Bernstein basis.
5. Up to now, and to the best of our Knowledge, many formulae corresponding to those mentioned previously are unknown and are traceless in the literature for Bernstein polynomials.
6. Bernstein polynomials can be generalized to k dimensions.
7. The Bernstein polynomials of degree form a basis for the power polynomials of degree .

메타데이터

위키데이터

• ID : Q826841

Spacy 패턴 목록

• [{'LOWER': 'bernstein'}, {'LEMMA': 'polynomial'}]