nonempty set 中文意思是什麼

nonempty set 解釋
非空集合
  • set : SET =safe electronic transaction 安全電子交易〈指用信用卡通過因特網支付款項的商業交易〉。n 【埃...
  1. Also, we give characteriza - tions of the set of solutions for ( ivep ) in case of nonmonotonicity, weak c - pseudomonotonicity, c - pseudomonotonicity and strict c - pseudomonotonicity, respectively. under these assumptions and additional conditions, we conclude that " the sets of solutions for ( ivep ) are nonempty, closed and convex. finally, we give some applications of ( ivep ) to vector variational inequality problems and vector optimization problems

    通過有力的證明和具體的例子,我們可以斷定在一定條件下隱式向量均衡問題( ivep )的解集是不空、閉和凸的;最後在第五節里,我們舉出了一些隱式向量均衡問題( ivep )應用到向量變分不等式問題和向量優化問題的例子。
  2. In the end, when the domain is finite, b is a meet - irreducible element or 6 has an irredundant finite meet - decomposition, a sufficient and necessary condition that the solution set is nonempty is given and the number of distinct minimal solutions is formulated

    最後,當論域為有限集, b為交既約元或有不可約有限交分解時,給出了方程inf _ ( i j ) ( a _ j , x _ j ) = b解集非空的充要條件以及極大元的個數公式。
  3. Secondly, the penalty coefficient may converge to infinity in many situations when the iterative point is closely near the bound of feasible set, while the parameters are bounded if the solution set of constrained optimization is nonempty, which is available for numerical computation

    另外在很多情況下,罰函數法中的罰因子當迭代點接近可行域邊界時趨于無窮大,而參數控制演算法中,只要約束優化問題有最優解,則參數是有界的,這對數值計算是有利的。
  4. The conclusions on the invariant set deduced in last chapter are applied to this model. although some results are deduced with the aid of computer computing, we stil1 regard it is rigorous because of the nonempty of the regions we obtained. the following numerical simulations further reinforce our results

    並通過計算機數值計算論證了我們給出摘要的具體參數范圍並非空集;爾后,我們還將第二章中得到的不變集的性質運用於該時間映射之中;最後,我們給出了相應的數值模擬以進一步說明理論證明的有效性和正確性
  5. When / is infinite and 6 is a compact element and with an irredundant finite join - decomposition, it is showed that a sufficient and necessary condition that the solution set is nonempty. it is also proved that there exists a minimal solution if the solution set of the equation sup t ( ai, xi ) = b is nonempty

    當論域為無限集, b為緊元且有不可約有限並分解時,給出了解集非空的充要條件,證明了如果方程sup _ ( i i ) ( a _ i , x _ i ) = b有解,則一定存在極小解。
  6. The existence conditions of unique solutions are discussed by using - reslovent operators for set - valued mixed quasi - variational - like inequality and generalized set - valued variational inclusion problems on finite dimensional euclidean spaces ; respectively. the problem that under what conditions the solution set is nonempty ( not necessarily unique solution ) is

    ?利用-預解運算元在有限維空間中探討了集值混合擬類變分不等式問題和廣義集值變分包含問題存在唯一解的條件;利用分析的方法在實hilbert空間中討論了集值混合擬類變分不等式問題解集的非空性(不一定只有唯一解) 。
  7. In particular, some properties of the solution set of the equation a 0 x = b ( where " 0 " denotes sup - inf composition ) are given when the domain is an infinite set on lattice [ 0, 1 ]. prom the coefficients of the equation aqx = 6, it is showed that a sufficient and necessary condition that the solution set is nonempty and one for existence of an attainable solution or an unattainable solution

    特別在[ 0 , 1 ]格上對無限論域方程a ? x = n (其中「 ? 」表示sup - inf合成)的解集的性質作了討論,僅從方程的系數出發給出了方程解集非空的充要條件以及存在可達解或不可達解的充要條件。
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