1) inverse theorem
逆定理
1.
The inverse theorem of global approximation of derivatives of generalized Bernstein polynomials;
关于推广的Bernstein多项式同时逼近的逆定理
2.
Generalized Baskakov operators and the direct and inverse theorem of its derivatives;
广义Baskakov算子及导数的正逆定理
3.
Both direct and inverse theorems of pointwise approximation are derived.
证明了定义在 [0 ,∞ )上的具有 s阶连续有界导数的函数可以用修正的 Sza′sz算子线性组合的 s阶导数逼近 ,得到了点态逼近的正定理和逆定理 。
2) converse theorem
逆定理
1.
This paper investigates the converse theorem of rectangular projection theorem in descriptive geometry,and furthermore supplements and confirms another converse theorem,"If the projection of two lines intersecting vertically fo rms a rectangle on a certain projecting plane,at least one line of the two lines is parallel to the projecting plane.
通过对《画法几何学》中直角投影定理的逆定理的研究,得出:“若垂直相交的两直线在某一投影面上投影成直角,则该两直线至少有一条直线平行于该投影面”的推论。
2.
The converse theorems of mean value theorem of two and three dimensional biharmonic function are presented and prove
提出并证明了二维和三维双调和函数中值定理的逆定
3.
The mean value theorems and converse theorems of bending and vibration of bars are presented and proven.
提出并证明了杆件弯曲和振动的中值定理和逆定理，对所得的结果进行了讨
3) 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。
4) Noether's inverse theorem
Noether逆定理
5) direct and converse theorem
正逆定理
1.
Heilmann[1J, gives the direct and converse theorems of approxi-mation and the character theorem of derivative.
Heilmann引入的一个算子M_n(f,x),给出逼近的正逆定理和导数的特征刻划定理。
6) weak converse theorem
弱逆定理
1.
Several weak converse theorems of differential mean-value theorems;
微分中值定理的几个弱逆定理
补充资料：逆定理
逆定理
converse theorem
逆定理l姗ve倪山e毗m户城阿r幽T即伴Ma] 一个定理，其前提是原定理(正定理)的结论，其结论是原定理的前提.逆定理的逆定理是原定理(正定理)，因此、正定理和逆定理是一互逆的. 逆定理等价于正定理的相反定理，即把正定理的前题和结论分别换为其否定而得到的定理.所以，正定理等价于逆定理的相反定理，即这个定理断言:如果正定理的结论不成立，则它的前题也不成立.众所周知的“反证法”，恰好就是用逆定理的相反定理的证明来代替正定理的证明.两个互逆定理的成立意味着:其中任何一个定理的前题成_、丈，不仅仅是其结论成立的充分条件，而且是必要条件.亦见定理(theorem);必要和充分条件(ne份ssary and suffident conditions).
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条