index theorem 中文意思是什麼
index theorem
解釋
指數定理-
On the aspect of performance appraisal, western countries has accumulated abundant research outcomes, among which the most famous methods are treynor index, sharpe index and jensen index based on the asset portfolio theorem and capital and asset pricing model
在業績評價這方面，西方國家積累了大量的研究成果，其中最著名的是基於資產組合理論和資本資產定價模型的特雷諾指數、夏普指數和詹深指數等。 -
The tree of order n with the second smallest independent index is also known. ( [ 1 ], [ 6 ] ) in this paper, we mainly study the unicyclic graph of order n with independent index, the unicyclic graph of order n with the largest and the smallest independent index are know ( theorem 2, theorem 3 ). we also determine the unicyclic graph of order n with the second largest independent index ( theorem 4, theorem 5 ), and the unicyclic graph of order n with the second smallest independent index ( theorem 6, theorem 7 )
（ [ 1 ] 、 [ 6 ] ）本文討論n階單圈圖的獨立指數，得到n階單圈圖的獨立指數的上、下界（定理2 ）和獨立指數取得上、下界的n階單圈圖（定理3 ） ，以及獨立指數第二大的2階單圈圖（定理4 ，定理5 ） ，獨立指數第二小的n階單圈圖（定理6 ，定理7 ） 。 -
2. based on the ( q, h ) - deformed quantum plane by benaoum, we establish the transformation formulae of arbitrary degree power of two variables on the ( q, h ) - deformed quantum plane. furthermore, we give the ( q, h ) - analogues of multinomial theorem, binomial reciprocal formula, chu - vandermonde identities and a pair of new double - index series inverse formula
在benaoum在引入的（ q ， h ） -量子變形平面的基礎上，首先建立了（ q ， h ） -量子變形平面上的變量的任意次乘積的變換公式，進而給出了多項式定理、二項式反演、 chu - vandermonde恆等式等結果的（ q ， h ） -模擬以及一對新的雙指標級數互反公式。 -
After the optimization, a certain stability allowance and a certain performance index are obtained for the fuzzy controller through introduction of the small gain theorem for ensuring the system stability and optimization of the parameters of the controller with the norm bound based on with the genetic algorithm
利用小增益理論確保控制系統的穩定，採用范數度量模型集的界，用遺傳演算法優化控制器參數，使得優化后模糊控制器具有一定的穩定裕量和一定的性能指標。 -
Green " s theorem is employed to find the quantity relationship among the constraints of heating rate, dynamic pressure and lift in reentry flight. the paper deduced the approximate solution of the optimal aeroassisted coplanar trajectories under the three typical constraints. the performance index to be minimized are either heat input, the total dynamic pressure, time during the atmospheric flight, the time integral of the square of the path inclination ; or maximize the time of flight during the atmospheric portion of the trajetory. an important conclusion is firstly obtained : under the three constraints above, the optimal aeroassisted coplanar transfers with the first forth kinds payoffs have the same optimal control laws
採用格林函數法，給出了同一平面氣動力輔助變軌飛行的3種過程約束（氣動加熱率、動壓、升力約束）條件之間關系的近似定量描述形成的飛行包絡線.由此求解了航天器同時受3種約束條件時，各種性能指標下的同一平面氣動力輔助變軌軌跡的近似解及相應的最優控制規律.文中對近似解與控制規律的內部結構作了細致的分析，得到了一些有益的結論 -
3. as for the existence of positive solutions, the cone theory and the fixed point index of condensing mapping are employed, and the results of the existence of positive solutions are obtained in the case of superlinear and sublinear. the conclusions extend and improve the existence theorem which lou ben - dong extablished in 1996 about the question of sturm - liouville of banach spaces
三、對于正解存在性問題，我們應用凝聚映射的不動點指數理論，分別在超線性與次線性情形下進行討論，獲得了一些正解存在的結果，主要結果推廣和改進了1996年louben - dong對banach空間sturm - liouville問題所建立的存在性定理。 -
This paper discusses the existence of multiple positive solutions of a class of nonlinear singular boundary value problems by means of the fixed point index theorem on cones
摘要利用錐映射的不動點指數定理，研究了一類非線性奇異邊值問題多個正解的存在性問題。 -
By using the fixed point index theorem, the existence of positive solutions for nonlinear m - point boundary value problem is established under some weaker conditions, and previous results are improved and generalized
摘要本文在較弱的條件下，利用不動點指數定理研究了一類運算元多點邊值問題正解的存在性，推廣並改進了原有的結果。
分享友人