非空集 的英文怎麼說

中文拼音 [fēikōngjí]
非空集 英文
nonvoid set
  • 非 : Ⅰ名詞1 （錯誤） mistake; wrong; errors 2 （指非洲） short for africa 3 （姓氏） a surname Ⅱ動詞1 ...
  • 空 : 空Ⅰ形容詞（不包含什麼; 裏面沒有東西或沒有內容; 不切實際的） empty; hollow; void Ⅱ名詞1 （天空） s...
  • 集 : gatherassemblecollect
  • 空集 : [數學] null set; empty set
  1. In this section, applying the method, from abstract to specific and from history to present, it analyzes the operation mechanism of urbanization economy affected by market mechanism ; puts forward four theories of urbanization economy from economic perspective, including agriculture surplus and comparison advantage ; non - agricultural industry ; agglomeration economy and spillover effect, on this basis of the theories, it, on one hand, analyzes two kinds of internal mechanism in the chronologic operation of urbanization economies : increasing mechanism of urbanization economies in urban output industry ; and changing mechanism from specialization to integration, which are the representations of the evolution of " mart " development ; on the other hand, it analyzes two internal mechanism of dimensional operation of urbanization economy : internal spatial enlargement mechanism of urbanization economies from monocentric city to multi - center city, and external spatial enhancement mechanism which represents city - regionalization and city - chain connection, the later two mechanism represent the evolution of " polis " development

    這一部分，按照由抽象到具體和由歷史到現代的研究方法，分析了市場機製作用下的城市化經濟運行機理，從經濟學角度提出了農業剩餘與比較優勢、非農產業、聚集經濟、外溢效應四大城市化經濟定理；在此基礎上，一方面分析了城市化經濟運行沿時間增長的兩個內在內容提要機制:城市輸出產業的城市化經濟增長機制和從專業化到綜合化的城市性質變遷機制，它們主要表現為「市」發展的延續;另一方面分析了城市化經濟運行沿空間增長的兩個內在機制:從單中心到多中心的城市化經濟運行的內部空間擴展機理和表現為城市區域化、城市連綿體的城市化經濟運行的外部空間擴展機理，它們主要表現為「城」發展的延續。
  2. Abstract : the conformal flat space - time solutions in electromagnetic and scalar theory are shown, and the indefiniteness of the plane - symmetric solutions and the method for defining a noncontinuous field by the intersection of multi - solutions are demonstrated

    文摘:給出電磁場和標量場在共形平直時空中的解，發現了平面對稱解的不確定性及由多重解的交集來定義一個非連續場的方法
  3. V'is a nonempty subset of v.

    V是v的一個非空子集。
  4. Chapter 2 of this paper, by using a new method of proof, we obtain the weak ergodic convergence theorem for general semigroups of asymptotically nonexpansive type semigroups in reflexive banach space. by theorem 2. 1 of chapter 1 we get the weak ergodic convergence theorem of almost orbit for general semigroups of asymptotically nonexpansive type semigroups in reflexive banach space. by this method of proof, we give the weak ergodic convergence theorems for right reversible semigroups. by theorem 2. 1 of chapter l, we generalize the result to almost orbit case. so we can remove a key supposition that almost orbit is almost asymptotically isometric. it includes all commutative semigroups cases. baillon [ 8 ], hirano and takahashi [ 9 ] gave nonlinear retraction theorems for nonexpansive semigroups. recently mizoguchi and takahashi [ 10 ] proved a nonlinear ergodic retraction theorem for lipschitzian semigroups. hirano and kido and takahashi [ 11 ], hirano [ 12 ] gave nonlinear retraction theorems for nonexpansive mappings in uniformly convex banach spaces with frechet differentiable norm. in 1997, li and ma [ 16 ] proved the ergodic retraction theorem for general semitopological semigroups in hilbert space without the conditions that the domain is closed and convex, which greatly extended the fields of applications of ergodic theory. chapter 2 of this paper, we obtain the ergodic retraction theorem for general semigroups and almost orbits of asymptotically nonexpansive type semigroups in reflexive banach spaces. and we give the ergodic retraction theorem for almost orbits of right reversible semitopological semigroups

    近年來， bruck [ 5 ] ， reich [ 6 ] ， oka [ 7 ]等在具frechet可微范數的一致凸banach空間中給出了非擴張及漸近非擴張映射及半群的遍歷收斂定理。 li和ma [ 13 ]在具frechet可微范數的自反banach空間中給出了一般交換漸近非擴張型拓撲半群的遍歷收斂定理，這是一個重大突破。本文第二章用一種新的證明方法在自反banach空間中，研究了揚州大學碩士學位論文2一般半群上的（ r ）類漸近非擴張型半群的弱遍歷收斂定理，即:定理3 . 1設x是具性質（ f ）的實自反banach空間， c是x的非空有界閉凸子集， g為含單位元的一般半群， s =仕工， 。
  5. 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。
  6. In the paper, new classes of generalized lkkm and generalized s - lkkm mappings in a nonempty subset of a l - convex space are obtained

    本文首先在l -凸空間的非空子集上引進新的廣義lkkm映射和廣義s - lkkm映射。
  7. Throughout the following of this section, e denotes a real banach space and p is a cone in e. in chapter, a new three - solution theorem is obtained. moreover, the famous amann ' s and leggett - williams " three - solution theorems in nonlinear functional analysis can be seen as its special cases, namely they are united. so they are improved. the main results can be stated as the following : let d be a nonempty bounded close convex subset in e, and nonnegative continuous functional on d. and is concave while is convex. suppose 0 < d and denote

    首先我們約定，在下文中， e是實banach空間， p是e中的錐。在第一章中，我們利用錐理論與不動點指數理論統一了著名的amann三解定理與leggett - williams三解定理。主要結論是：設d是e中的非空有界閉凸集， ，是d上的非負連續泛函，且是凹泛函，是凸泛函。
  8. Research result shows that the object - oriented geographic spatial model has stronger representative ability, is easier understood and accepted ; using the concept of geometric data type unify the process method of attribute and spatial data, and simplify entity query and analyses. the topologic relations between entities, which are not been stored in explicit formulation in the model, can be achieved through collective operation of geometric object ' s hypergraph model. compared with traditional his, the query and analyses ability of which based on new model are stronger

    研究結果表明，面向對象的地理空間模型具有更強的表現能力，並且容易被理解和接受；採用幾何數據類型的概念，可以使對非空間數據和空間數據的處理方法相統一，而且會使對實體的各種屬性數據（包括空間屬性）的查詢和分析模型更加簡單；對于面向對象模型中不顯式表示的地理實體間的空間拓撲關系，可以利用實體的幾何對象的超圖模型間的集合運算來求得；基於面向對象地理空間模型的實體查詢和分析，也比基於傳統gis數據庫查詢和分析具有強得多的功能。
  9. The representation theories of mp - filter which is created by an non - empty set of a implication algebra on a partial ordered set with condition ( c ) are obtained at first. and it ' s proved that the set which contains all mp - filters of a implication algebra x, denoted by mf ( x ) = { f x f is a filter of x }, is a distributive lattice and a complete lattice also in the view of the concept of mp - filter. then the fuzzy filter of a implication algebra is discussed, and the relations between mp - filter and fuzzy filter are obtained

    藉助于mp -濾子的概念，得到了偏序集上具有條件（ c ）的蘊涵代數中由非空集合所生成mp濾子的表示定理，證明了由其上所有mp -濾子組成的集合mf （ x ）是一個完備的分配格；得到了蘊涵代數中fuzzy濾子與mp濾子的關系，給出了fuzzy濾子成為fuzzy素濾子的若干刻畫；並利用mp -濾子和fuzzy濾子，刻畫了一類偏序集上蘊涵代數的結構。
  10. 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
  11. A time scale t is an arbitrary nonempty closed subset of the real numbers. in the paper, we study quasilinearization and the monotone iteration methods for second - order nonlinear boundary value problems on time scales

    時間模t _ 1是實數集上的一個非空閉子集，本文討論了時間模上二階非線性邊值問題的擬線性方法和單調迭代方法。
  12. Reich [ 2 ] proved the ergodic theorems to nonexpansive semigroups in hilbert spaces. takahashi and zhang [ 3 ], tan and xu [ 4 ] extended baillon ' s theorem to asymptotically nonexpansive and asymptotically nonexpansive type semigroups in hilbert spaces. recently, reich [ 6 ], bruck [ 5 ], oka [ 7 ] gave the ergodic convergence theorems for nonexpansive, asymptotically nonexpansive mappings and semigroups in uniformly convex banach spaces with frechet differentiable norm. li and ma [ 13 ] obtained the ergodic convergence theorems for general commutative asymptotically nonexpansive type topological semigroups in reflexive banach space, which is a great breakthrough

    Baillon [ 1 ]首先在hilbert空間的非空凸閉子集上給出了非擴張映照的弱遍歷收斂定理。 baillon的定理引起了很多數學家的興趣， reich [ 2 ]在hilbert空間中證明了非擴張半群的遍歷收斂定理。 takahashi和zhang [ 3 ] ， tan和xu [ 4 ]分別將baillon的定理推廣到漸近非擴張半群及漸近非擴張型半群。
  13. Further, it is proved that there exists a minimal solution such that for every if the solution set

    進一步，證明了如果方程的解集非空，則解集中的每一解都存在一個大於等於它的極大解。
  14. The length should be added if the cost is n ' t increased and the installation is convenient, the diameter should be chose by the local weather condition and the using requirement ; the gas pressure should be not higher than 5 x 10 - 2pa and the emissivity should be less than 0. 1, the spring should be small and narrow in order to decrease the heat loss, the gas absorbed getter should not be too many as long as it can absorb the residual gas and keep the vacuum degree

    在不影響安裝和增加成本的情況下，應適當增加太陽能真空集熱管的長度;根據當地的氣候條件和使用要求來綜合考慮選擇直徑;國標規定的真空度必須達到5x10 』 zpa ，發射率小於0 . 1是合理的;彈簧卡子不要選用很寬、很大的尺寸，盡量減少接觸熱損;吸氣劑並非越多越好，只要能夠吸收殘余氣體，保證一定的真空度即可。
  15. 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。
  16. Build the compute model of all - glass evacuated solar collector tube in fluent according to the physical model and the interface of fluent, set the boundary conditions on the basis of the fact of three different states of air stagnation, water stagnation and heat loss. the calculation results have a good match with the test results. 2

    根據太陽能真空集熱管的物理模型和fluent的建模要求，建立了太陽能真空集熱管的fluent計算模型，根據太陽能真空集熱管在悶曬、空曬和散熱狀態下的工作條件，設置fluent計算的邊界條件，對三種工況下的流場和溫度場進行計算，計算結果與實驗測試結果非常吻合； 2
  17. 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） 。
  18. Parameter combinations that have the potential to return a non - empty collection include

    有可能返回非空集合的參數組合包括：
  19. Rough set theory is applied in spatial data classification, and during classification spatial and non - spatial data are processed by rough set theory simultaneously

    本文將rough集理論應用在空間數據分類中，在分類時使用rough集理論同時處理空間和非空間數據。
  20. 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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