counterexample 中文意思是什麼

In this thesis, we study some open problems and conjectures about the linear complementarity problem. it consists of the next three aspects : firstly, we study murthys " open problem whether the augmented matrix is a q0 - matrix for an arbitary square matrix a, provide an affirmable answer to this problem, obtain the augmented matrix of a sufficient matrix is a sufficient matrix and prove the graves algorithm can be used to solve linear complementarity problem with bisymmetry po - matrices ; secondly, we study murthys " conjecture about positive semidefinite matrices and provide some sufficient conditions such that a matrix is a positive semidefinite matrix, we also study pang ' s conjecture, obtain two conditions when r0 - matrices and q - matrices are equivelent and some properties about e0 q - matrices ; lastly, we give a counterexample to prove danao ' s conjecture that if a is a po - matrix, a e " a p1 * is false, point out some mistakes of murthys in [ 20 ], obtain when n = 2 or 3, a e " a p1 *, i. e. the condition of theorem 3. 2 of [ 25 ] that a p0 can be deleted and obtain a e " a is an almost e - matrix if a is a co - matrix or column sufficient matrix

本文分為三個部分，主要研究了線性互補問題的幾個相關的公開問題以及猜想： （ 1 ）研究了murthy等在[ 2 ]中提出的公開問題，即對任意的矩陣a ，其擴充矩陣是否為q _ 0 -矩陣，給出了肯定的回答，得到充分矩陣的擴充矩陣是充分矩陣，並討論了graves演算法，證明了若a是雙對稱的p _ 0 -矩陣時， lcp （ q ， a ）可由graves演算法給出； （ 2 ）研究了murthy等在[ 6 ]中提出關於半正定矩陣的猜想，給出了半正定矩陣的一些充分條件，並研究了pang ~ -猜想，得到了只r _ 0 -矩陣與q -矩陣的二個等價條件，以及e _ 0 q -矩陣的一些性質； （ 3 ）研究了danao在[ 25 ]中提出的danao猜想，即，若a為p _ 0 -矩陣，則，我們給出了反例證明了此猜想當n 4時不成立，指出了murthy等在[ 20 ]中的一些錯誤，得到n = 2 ， 3時，即[ 25 ]中定理3 . 2中a p _ 0的條件可以去掉。

In addition, a counterexample is constructed to show that the characterization and the related results do not hold for the non - archimedean riesz space r # with the lexicographical ordering

同時構造一個反例說明，對于r ~ n按字典順序做成的非阿基米德riesz空間的情形，這個刻畫及相應結果並不成立。

Another example is about lu qikeng conjecture : in order to give a counterexample to the lu qikeng conjecture, an explicit formula for the bergman kernel function is used in ref. [ bo ]

在給陸啟鏗猜想以反例時，也經常要用到bergman核函數的顯表達式[ bo ] 。

A brief discussion on the function of counterexample in discrete mathematics teaching

談反例在離散數學教學中的作用

A counterexample on the existence of positive periodic solutions for two - species predator - prey diffusive systems

食餌系統正周期解存在性的一個反例

In a sense this program is a counterexample, in that it is never useful as a filter

從某種意義上，這個程序是一個可執行文件，因為對于作為過濾器來說，它決不會有任何用處。

There is an old saying : large wealth of a family can not last longer than three generations. is there any counterexample in the history

有句話是「富不過三代」 。歷史上有沒有富豪延續超過三代的例子？

More detailed researches are focused on discussing the rationality and restrictive of df problem in this paper and the typical exemplification and counterexample are presented

本文針對描述函數法適用於該問題的合理性及其局限性作了較為深入的分析，並給出了典型的例證和反例加以說明。

Then, after the introduction and analysis of algorithm asrai we show a counterexample of this algorithm and present a revised algorithm chen1 to eliminate the disadvantage of algorithm asrai

然後，通過對asrai演算法的介紹與分析，舉出asrai演算法的反例，提出增量演算法1以用於克服asrai演算法存在的缺點。