1) the law of tangents
正切定理
1.
The geometric proof of the law of tangents was the most complex formula in the plane trigonometry.
《崇祯历书》将西方三角学引入中国,正切定理是平面三角学中证明最复杂的一个公式,《大测》、《测量全义》分别将欧洲玉山若干、芬克的证明法介绍到中国。
2) law of tangents
正切定律
3) Rational tangent
有理正切
4) Excision theorem
切除定理
5) direct and inverse theorems
正逆定理
1.
In this paper, we will use the 2r-th Ditzian-Totik modulus of smoothness to discuss the direct and inverse theorems of Lp metric approximation by Left-Bernstein-Durrmeyer quasi-interpolant operator Mn[2r-1](f), for functions which are defined in the space Lp[0,1] (1≤p≤+∞).
本文利用2r阶Ditzian-Totik光滑模ω_φ~(2r)(f,t)_p讨论了Left-Bernstein-Durrmeyer拟插值算子M_n~([2r-1])(g)对空间L_p[0,1](1≤p≤+∞)中函数在度量L_p下逼近的正逆定理。
6) direct theorem
正定理
1.
In this paper,we first construct Jacobi-weights of non-product form,then study the convergence rate of Meyer-Konig-Zeller operators with Jacobi-weights on a simplex by making use of multivariate decompose skills and results of Meyer-Knig-Zeller operators and finally,obtain the approximation direct theorem.
引入二元非乘积型Jacobi权,利用分解技巧及一元的结论,讨论单纯形上Meyer-Knig-Zeller算子加权逼近的收敛阶,得到逼近的正定理。
2.
By the help of Ditzian-Totik moduli of smoothness ω2φ(f,t)p,obtain direct theorems and Steckin-Marchaud inequalities on operators Ln(f,sn,x).
利用Ditzian-Totik光滑模ωφ2(f,t)p给出了算子Ln(f,sn,x)的逼近正定理及Steckin-Marchaud不等式。
3.
The convergence rate of Meyer-Knig-Zeller operators is studied by making use of multivariate decompose skills and results of Meyer-Knig-Zeller operators, and the approximation direct theorem is obtained.
利用分解技巧及一元的结论,讨论单纯型上Meyer-Knig-Zeller算子逼近的收敛阶,得到逼近的正定理。
补充资料：有理
1.有道理。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
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