集合論定義 的英文怎麼說

中文拼音 [jígělúndìngyì]
集合論定義 英文
set theoretic definition
  • 集 : gatherassemblecollect
  • 合 : 合量詞（容量單位） ge, a unit of dry measure for grain （=1 decilitre）
  • 論 : 論名詞（記錄孔子及其門徒的言行的「論語」） the analects of confucius
  • 定 : Ⅰ形容詞1 （平靜; 穩定） calm; stable 2 （已經確定的; 不改變的） fixed; settled; established Ⅱ動詞...
  • 義 : Ⅰ名詞1 （正義） justice; righteousness 2 （情誼） human ties; relationship 3 （意義） meaning; si...
  • 集合 : 1 （聚集） gather; assemble; muster; call together 2 [數學] [自動化] [計算機] assemblage; set; co...
  1. In the part of theory study, based on the research fruit which the scholars before had made, from the competition ' s and competitiveness ' s initial definition, the essential connotation can be dredged up. depend on the analysis of the charter and function, the city ' s functions can be definituded as which cluster is means and diffuse is purpose. that is, the function of cluster can streghten through diffusion, the integrative competitiveness advantage reflects those functions together flatly. so, based on the shanghai social & science academe ' s and ni pengfei ' s urban competitiveness model - - goss, quality and flux can be used to contain the abundance content of urban competitiveness, as a result, the urban competitiveness indicator system can be established

    在理論研究部分，在整合前人研究成果的基礎上獨辟蹊徑，從競爭和競爭力的原始定義出發挖掘城市競爭力的基本內涵，通過對中心城市特徵和職能的分析，明確了城市經濟集聚的目的是為了擴散，擴散才能進一步增強集聚的能力，而綜合競爭力的優勢則恰恰在這一點上集中反映了城市集聚和擴散功能的強弱；最後借鑒上海社會科學院和倪鵬飛的研究模型? ?用總量、質量和流量三個一級指標來涵蓋城市競爭力的豐富內容，並由此架構評價指標體系。
  2. Determining the extreme values and extremal functions of the analytic functions on d = { z $ c : z < 1 } is very important in the principles of univalent functions. baernstein [ 2 ] gave the conclusion by using koebe function as the extremal function, glenn schober [ 6 ] studied the classes such as s, p, k, s * of h ( d ) and represented these functions with integral formulations. wang jian [ 3 ] and others investigated the integral mean values

    Baernstein首先在單位圓上討論給出了以koebe函數作為極值函數的結論， glennschober對h （ d ）中一些函數子類如s 、 p 、 k 、 s ~ *等作了研究，將這些子類上的函數用積分表達出來，王鍵結合baernstein ~ *函數的定義及glennschober的結論，定義了對稱集的概念並得出了一些函數類在其上的積分平均。
  3. Rs theory was proposed by pawlak in 1982. the focus of rs theory is on the ambiguity caused by limited discernibility of objects in domain of discourse. fuzzy set theory was proposed by zadeh in 1965 and hinges on the notion of a membership function on the domain of discourse, assigning to each object a grade of belongingness in order to represent an imprecise concept. the combination of fuzzy sets and rough sets are a new study and is very value in fact

    粗糙集理論是波蘭數學家z . pawlak於1982年提出來的兩種處理不確定和不精確數據的理論，是通過等價關系來研究對象之間的不可分辨關系;模糊集理論是美國控制論專家zadeh於1965年提出的一種處理非精確的現象的數學工具，是利用集合的特徵函數來處理邊界的不可定義性，在模糊集合中並沒有應用對象之間不可分辨性的概念。
  4. This thesis present the systematic studies on firing accuracy and firing accuracy tactical & technical requirement reasoning for gunnery system. the main contents of the paper are as follows. ( 1 ) definitions and probability distribution expressions for error of fire, error of firing data and error of dispersion are given summarily. methods to compose error of initial firing data and error of dispersion are discussed

    本文對遠程炮武器系統射擊精度及射擊精度戰術技術指標論證等方面問題進行了深入、系統的分析研究，本文研究工作的主要內容有： （ 1 ）概要地討論了射擊誤差、諸元誤差、散布誤差的定義及其概率分佈，諸元誤差、散布誤差及射擊誤差的合成，分析了射擊精度的各種表示法，闡述了火炮武器系統準確度、密集度和首發命中概率的估算方法。
  5. This thesis explains the necessity of the character recognition technology of the computer at first, describe the meaning in which the handwritten numeral discerns ; pretreatment technology of handwritten numeral recognition, including two value, line segmentation, word segmentation smooth, removing noising, standardization and thinning are discussed two value concretely discusses whole threshold value, some threshold value, dynamic threshold value and utilize space information to carry on threshold, which are several kinds of common method of choosing threshold value, especially utilize space information to carry on threshold value is describe in detail ; adopting to the foundation of thinning based on mathematics morphology, thinning algorithm of serials same and thinning algorithm of protecting shape are discussed ; afterwards, according to principle ' s diagram of the on - line character recognition, by analyzing the structure feature of the handwritten numeral, this thesis has proposed the online recognition te chnology of the free handwritten numeral based on the stroke feature and the online recognition technology of the free handwritten numeral based on the multistage classifying device. detail narrated noise removing, stroke characteristic definition and discernment, distance criterion of whole word match ; then under the foundation of handwritten numeral segmentation, off - line handwritten numeral recognition is researched. especially minimum distance classifying device, tree classifying device and adaptive resonance ( art ) network classifying device is discussed at the same time, believes degree analyses are introduced to integrate a lot of classifying devices ; at the end, the typical application of the handwritten numeral recognition was briefly narrated, its application in extensive data statistics, financial affairs, tax, finance and mail sorting have been explored

    二值化時對整體閾值二值化、局部閾值二值化、動態閾值二值化和利用空間信息進行閾值選取幾種常用的閾值選取方法進行討論，特別對利用空間信息進行閾值選取進行了詳細論述；在對通過對基於數學形態學的細化的基礎上，討論序貫同倫形態細化演算法和保形的快速形態細化演算法；然後依據聯機字元識別原理框圖，分析了手寫數字的結構特點，提出了基於筆劃特徵的任意手寫數字在線識別技術和基於多級分類器任意手寫數字在線識別技術，對其中涉及的筆劃識別前的噪聲處理、筆劃間特徵量的定義及識別、整字匹配的距離準則進行了詳細敘述；繼而在對手寫數字的分割的基礎下對脫機手寫數字識別進行了研究，對基於最小距離分類器字元識別、基於樹分類器的字元識別、基於自適應共振（ art ）網路的字元識別分別進行了詳細討論，並引入置信度分析將多個分類器進行了混合集成；最後簡單闡述了手寫數字識別的典型應用，對其在大規模數據統計、財務、稅務、金融及郵件分揀中的應用進行了探索。
  6. With the cases which are retlising to accept admirlistrative punishment, refusing to accept administratix / e coercive measures, retlising to accei ) t the resolution, issued by admin1strative organs, for changing, terminat1ng or disso1vlng some certiticate, retlising t ( ] accept the resolution, issued by administrative organs, for confirming the ownership or utilize ol natural resources. considering the fact that administrative organs infring rlghts of the aut ( ) nomous management, considering the tac1 the thrm contract is changed, abolished ( ) r interfered by administrative organs. considering adminlstrativc organs illegall } levy propertives, apportioned charges, collect capitais, or demand perform1ng other duties, considering administrative orga11s, according to the lau ", shouid issue some certificates or sanction, register some other things which have n ' t be ( : n done, applying administrative organs for performing some legal duties which have n ' t been pefformed, applying adrninistrative organs for issuing consolations, social insurances or the lowest funds of life which have n ' t been issued and considering the concrete administrative conduct of administrative organs infringes other ll legitimate rights and interests

    本文運有我國有關法學理論，並結合《行政復議法》的相關規定，對行政復議范圍進行了分析和研究，其中第二章對具體行政行為的復議范圍進行了分析，包括：不服行政處罰決定的行政案件：不服行政強制措施的行政案件；不服行政機關變更、終止、撤銷有火證書的決定的案件；不服行政機關確認自然資源的所有權或者使用權的決定的案件；認為行政機關侵犯合法的經營自主權的案件；認為行政機關變更、廢止或者干涉簽訂農業承包合同，侵犯其合法權益的案件；認為行政機關違法徵收財物、攤派費用、強行集資或者違法要求履行其他義務的案件；認為符合法定條件，申請行政機關頒發有關證書或者審批、登記有關事項但行政機關沒有依法辦理的案件；申請行政機關履行某些法定職責，行政機關沒行依法履行的案件；申請行政機關依法發放撫恤金、社會保險金或者最低生活保障費，行政機關沒有依法發放的案件；認為行政機關的其他具體行政行為侵犯其合法權益的案件等。
  7. At the beginning of 20 * century, lebesgue rebuilt riemann integral and introduced lebesgue integral. with the development of modern mathematics, the concept of integral develops too

    20世紀初，集合論的觀點引起積分學的變革， lebesgue以集合測度概念為基礎，對riemann積分的定義加以改造，建立lebesgue積分的概念。
  8. According to the partition of set and the definition of covering, this article which takes advantages of the admissible and repelling law and the set theories indicates the relationship of partition and equality, special - covering and admission and the accounting formula of partition numerals and special - covering numerals

    本文根據集合的劃分與覆蓋的定義，利用容斥定理和集合理論，給出了有限集合上的劃分與等價關系、完全覆蓋與相容關系的關系，以及有限集合上的劃分數和完全覆蓋數的計算公式。
  9. The main contributions of the second part of this dissertation are focused on the cryptographic properties of logical functions over finite field, with the help of the properties of trace functions, and that of p - polynomials, as well as the permutation theory over finite field : the new definition of chrestenson linear spectrum is given and the relation between the new chrestenson linear spectrum and the chrestenson cyclic spectrum is presented, followed by the inverse formula of logical function over finite field ; the distribution for linear structures of the logical functions over finite field is discussed and the complete construction of logical functions taking on all vectors as linear structures is suggested, which leads to the conception of the extended affine functions over finite field, whose cryptographic properties is similar to that of the affine functions over field gf ( 2 ) and prime field fp ; the relationship between the degeneration of logical functions and the linear structures, the degeneration of logical functions and the support of chrestenson spectrum, as well as the relation between the nonlinearity and the linear structures are discussed ; using the relation of the logical functions over finite field and the vector logical functions over its prime field, we reveal the relationship between the perfect nonlinear functions over finite field and the vector generalized bent functions over its prime field ; the existence or not of the perfect nonlinear functions with any variables over any finite fields is offered, and some methods are proposed to construct the perfect nonlinear functions by using the balanced p - polynomials over finite field

    重新定義了有限域上邏輯函數的chrestenson線性譜，考察了新定義的chrestenson線性譜和原來的chrestenson循環譜的關系，並利用一組對偶基給出了有限域上邏輯函數的反演公式；給出了有限域上隨機變量聯合分佈的分解式，並利用隨機變量聯合分佈的分解式對有限域上邏輯函數的密碼性質進行了研究；給出了有限域上邏輯函數與相應素域上向量邏輯函數的關系，探討了它們之間密碼性質的聯系，如平衡性，相關免疫性，擴散性，線性結構以及非線性度等；討論了有限域上邏輯函數各類線性結構之間的關系，並給出了任意點都是線性結構的邏輯函數的全部構造，由此引出了有限域上的「泛仿射函數」的概念；考察了有限域上邏輯函數的退化性與線性結構的關系、退化性與chrestenson譜支集的關系；給出了有限域邏輯函數非線性度的定義，利用有限域上邏輯函數的非線性度與相應素域上向量邏輯函數非線性度的關系，考察了有限域上邏輯函數的非線性度與線性結構的關系；利用有限域上邏輯函數與相信息工程大學博士學位論文應素域上向量邏輯函數的關系，揭示了有限域上的廣義bent函數與相應素域上的廣義bent函數的關系，以及有限域上的完全非線性函數與相應素域上向量廣義bent函數之間的關系;給出了任意有限域上任意。
  10. Product design is a complicated thinking activity of creation of human. based on analyzing product design and its process, using a theory and method of aggregating and mapping, models of product design, process of product design, process of conceptual design of product were constructed, a frame of network arithmetic of a process of conceptual design of product was presented, its flow of decomposition and integration was particularly defined ， a good base for modeling and ruling of process of product design was founded. at one time, a useful exploration of development of a computer support implement for process of product design at all life cycle was made

    產品設計是一種復雜的人類創造性思維活動.在分析產品設計及其過程的基礎上，利用集合與映射的理論與方法，依此建立了產品設計、產品設計過程、產品概念設計過程的模型，給出了產品概念設計過程的網路演算法框圖，並且詳細定義了後者的分解與綜合的流程，為產品設計過程的模型化、規律化打下了良好的基礎，同時也為產品全生命周期設計過程計算機軟體支持工具的開發作出了有益的探索
  11. To be exact, if we combine the rough set theory with fuzzy set theory, optimize the users " queries of synonym and homoionym and then return the query results in the descending of similarity of the documents and queries, the users can get the most relevant query results as long as they define their queries according to their interests and describe their interest weight of every keyword in their queries in details

    用戶可以先根據自己在某個時刻的興趣愛好自定義查詢，詳細刻畫查詢中各關鍵詞的興趣度，然後系統採用粗糙集和模糊集理論相結合的方法，對用戶查詢進行同義詞、近義詞的優化和回歸，再進行查詢匹配，將查詢結果按其與用戶查詢相似度高低順序返回，使用戶獲得與其興趣最貼近的查詢結果。
  12. In this and next section, we shall consider some particular algebraic sets having binary operations defined on them.

    在這一節及下一節中，我們將討論一些在其定義為二元運算的特殊代數集合。
  13. To the problem that finding rules in enormous data is very time - consumable and the expansibility of existed algorithms is not very good, the thesis proposes a new method to discompose large data table based on the concepts of positive region and the importance of attribute in rough set theory. existed algorithms of rule deduction can be applied directly on the tree structure obtained by partition and the times for computation will be reduced observably. validation of information entropy on the partition structure shows that the partition of data table will not lead to the loss of information, while the computing speed increases at the same time, which reflects the practicability and rationality about the partition of large data table

    針對海量數據處理起來極為耗時，現有演算法拓展性較差的問題，基於rough集理論中的集合正域概念以及由此定義的屬性重要性概念，提出一種大型數據表分解演算法，現有的規則歸納演算法可直接在分解得到的樹型結構上應用，將大大降低知識發現的時間，並從信息理論的角度利用信息熵概念對該分解結構進行了驗證，分析了這種分解的實用性及合理性，揭示了這種分解結構在提高計算速度的同時不會損失信息量。
  14. As far as model is concerned, the forth generation software should be characterized with spatial entity - oriented. the paper established the geographic spatial model based on the thinking of object - oriented ; studied the structure of the model " s elementary unit - - geographic entity ; brought forward the concept of geometric data type which characterize entity ' s spatial feature in the structure ; defined five kinds of geometric data types such as point, arc, area, composite arc, composite area ; and formalized their collective operation using hypergraph. at the end of this paper writer studied preliminarily the method of entity query and analysis based on the model

    本論文從面向對象的基本思想出發，建立了面向對象的地理空間模型；研究了地理空間模型中的基本單位? ?地理實體的結構，針對實體結構中用來表徵實體空間特性的組成部分? ?幾何對象，提出了其取值范圍，即幾何數據類型的概念；對點、弧、面、復合弧和組合面五種幾何數據類型進行了定義；並使用超圖工具對幾何數據類型的集合操作進行了形式化描述；對基於面向對象的地理空間模型的實體查詢和分析方法也做了初步研究。
  15. 3 ) in order to manage and trace materials in mes, the concept, theorems and properties about a special set named s ( i ) are put forward. based on the properties and theorems of s ( i ), a new method is presented to describe the material process state. it is a concise way using the material process state vector and material process state value to deal with the materials which provides a powerful mathematic tool for material management in mes

    3 ）面對製造執行系統中的物料工藝狀態描述的困惑，建立了集合s （ i ）的定義以及集合s （ i ）的相關定理和性質，並在集合s （ i ）理論的基礎上，研究了如何描述物料工藝狀態信息，從而為製造執行系統中物料管理和物料跟蹤提供科學的方法。
  16. Then statistic correlation concept was introduced and based on which the rule interestingness measure was defined what we are interested in during the mining is those rules with strong item correlation. so the interesting measure introduced in this paper severed as a constraint for those independent or negative correlation rules. with it associated with the support and the confidence we can find only interesting or useful rules from data sets

    而我們的目的就是找出有益於決策的用戶感興趣的規則，所以對于關聯規則挖掘中許多規則是無趣甚至是誤導的情況，文中首先對其作了分析，針對項目集中可能出現的項目間的獨立和負相關情況，文中引入了概率論的統計相關概念，並在它的基礎上定義了有趣度量ri ，把有趣度結合到支持?信任框架的關聯規則挖掘中。
  17. This thesis is composed of seven chapters : the first chapter is the introduction of this thesis. it is summary of the background, the technology method, and the significance of research ; in the second chapter, the writer propounded the new method for speed regulating to realize the mainland method. the introduction of the foundation of fuzzy control is the content of the third chapter. the main content of the fourth chapter is the theoretical foundation of fuzzy control ; in the fifth chapter, the writer propounded a kind of self - adaptive fuzzy controller according to the defnult of the conventional fuzzy controller and its properties and structure are alse illustrated at the same time ; the main content of the sixth chapter is the design of sa fuzzy controller ; the seventh chapter is the summary of hardware and software of vfsr for controlling system

    本論文共分七章：第一章是緒論，簡介課題研究的背景、技術方法及研究意義；第二章簡單分析了傳統pid調速技術存在的問題，提出新的調速實現方案；第三章給出了模糊集合論中的一些基本概念、運算定理等；第四章主要介紹模糊控制的工作原理，並指出常規模糊控制的缺陷及其多種改進方案；在第五章中，作者根據常規模糊控制器的不足，設計了自適應模糊控制器，並闡述了它的性能結構和工作原理；第六章的主要內容是自適應模糊控制器的設計；第七章是船模純粹自航試驗調速系統的實現。
  18. 3. the concepts of o - ideal was proposed and its property was discussed. ultra - filter on a set s of lattice implication algebra was defined and was compared with the ultra - filter on a set of lattice, the relationship between this two ultra - filter was studied

    3 、給出了格蘊涵代數中o -理想的定義並討論了其性質，給出了格蘊涵代數中集合s上超濾子的定義並與集合代數上的超濾子作了比較，研究了兩種超濾子之間的關系。
  19. 5 ) to solve the uncertain modeling problem about hydraulic buildings, a new modeling method named aggregation modeling based on graph object technique is put forward. as a result, the graph model of solid gravity dam is designed. the graph object of water _ proof dam section taken as an example, the design and implement of self defined graph object is discussed

    5 ）根據水工建築物不定型建模的特點，提出一種基於圖形對象技術的聚合建模方法，詳細討論了聚合建模法的基本原理；設計了實體重力壩的圖形對象模型，並以擋水壩段圖形對象的設計為例，研究了自定義圖形對象的設計和實現；基於objectarx的通知? ?反應機制，採用數據庫反應器和對象反應器，建立了圖形對象的互動操作機制；以擋水壩段斷面優化設計為例，研究了圖形對象和分析、計算功能的集成方案。
  20. At first the approximate operators of rough sets are modified, so the new operators of union, intersection and complement and approximate power sets are presented. this has enriched rough sets theory from the operator - oriented and set - oriented views. then by combining topology, rough topology and approximate topologies are defined and researched

    首先修正粗糙集近似運算元，提出近似集的新型並、交、補運算和近似冪集空間，從運算元論和集合論兩者的角度豐富了粗糙集理論；再結合拓撲，定義和研究了粗糙拓撲、近似拓撲。
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