序數論 的英文怎麼說

At the same time, it is relatively colorfully that this paper makes use of some proverties of topological spaces to discuss the problems about countable ordinal exponentiation arithmetic

同時，本文用拓撲空間的一些性質來討論集合論中的可數序數指數運算問題也比較精彩。

Based on a systematic discussion on the contents, characteristics and the up - to - now accomplishments of these three operations in cagd, we present our researches in three ways as follows : ( 1 ) efficient evaluation for parametric curves and surfaces based on generalized ball bases based on the generalization of mathematical model of surface lofting program in the consurf system, two generalized ball surfaces and the recursive algorithms for evaluating them are given. furthermore, the conversion algorithms from bezier form of a surface to these two generalized ball forms are presented

在系統地論述cagd中此三類運算的內容、特點、已有研究成果的基礎上，就以下三方面給出了研究成果： （ 1 ）基於廣義ball基的參數曲線曲面快速求值以前英國航空公司consurf系統機身模線程序數學模型的推廣為基礎，定義了兩類廣義ball基曲面，給出了求值的遞推演算法，推導了b zier曲面到這兩類曲面的轉換演算法

They include the framework of product long - distance maintenance guiding system, fault diagnose, automatically making of maintenance technics, the query of information and the visual leading. according to b / s model, the author puts forward system structure of product maintenance guiding system based on network. the dissertation introduces the main technologies for the realization of maintenance guiding system, the data structure of product fault and order of disassembly and assembly, and the way to get the preliminary data

本論文對產品維修向導系統的幾個部分：包括產品維修向導系統的體系結構、故障診斷、維修工藝的自動生成、資源信息查詢和可視化引導的有關技術進行研究；根據web技術b / s模式結構和產品維修過程提出基於網路的產品維修向導系統的體系結構；介紹了維修向導系統的具體實現中的一些主要技術和產品故障數據結構、拆裝順序數據結構的設計以及這些數據表的原始數據獲得方法；對產品故障診斷採用的決策樹方法作了介紹；重點對產品故障診斷和產品各零部件的拆裝順序關系以及資源信息的查詢進行了實現；針對轎車卡板式門鎖，開發了產品維修向導系統的實例。

Topics covered include : sorting ; search trees, heaps, and hashing ; divide - and - conquer ; dynamic programming ; amortized analysis ; graph algorithms ; shortest paths ; network flow ; computational geometry ; number - theoretic algorithms ; polynomial and matrix calculations ; caching ; and parallel computing

課程主題包含了：排序、搜尋樹、堆積及雜湊；各個擊破法、動態規劃、攤提分析、圖論演演算法、最短路徑、網路流量、計算幾何、數論演演算法；多項式及矩陣的運算；快取及平行計算。

In order to grasp the urban system processes and evolution pattern of hunan province comprehensively, this article has made further discussion on its structure characteristic : through regression analysis, graph analysis and statistics analysis of the time series data and cross sections data, by combining with the fractal theory, we induce the following conclusion : the hierarchical size structure presents the law of the primate city, the rank - size rule and pyramid structure characteristic, but it also has the insufficient development problem of the high hierarchical size city. by using the gravitation model, we found out that the economy relation intensity among those main cities is weak while the structure is loose. based on the urban layer system of economic development level and industrial structure evolution of the cities in hunan province, this article then induces the function combination among the five urban agglomerations in hunan province

為全面把握湖南城市體系的運演規律，本文對其結構特徵作了進一步的探討:通過時序數據和截面數據的回歸分析、圖表分析和統計分析，結合分形理論，得出了其等級規模結構分佈呈現出首位分佈、位序?規模分佈和金字塔結構特徵，以及存在著高層次城市發展不足的問題;運用場引力模型發現該省主要城市間的經濟聯系強度較弱、結構鬆散，在歸納出該省城市經濟發展水平的層次體系、產業結構演變的基礎上，導出了該省城市體系的五大城市群職能組合;結合空間結構體系、路網交通條件和經濟發展狀況，對該省城市空間分佈狀態進行了定性分析，研究表明該省總體上處于極化階段，各個具體區域，分佈階段不一，差異較大。

In this paper, such three points are studied as : a ) the angular distributions of the hot electrons emission under laser irradiation at different incidence angles and at different polarization direction, the angular distribution of the hot electrons in the different energy range, and the effects of laser prepulse on the angular distributions of the hot electrons emission ; b ) the energy distribution of the hot electrons at different directions, from the metallic targets and the dielectric targets, in the different energy range of the hot electrons, and the effects of the atomic number z on the energy distribution of hot electron generated by the metallic targets ; and c ) the energetic proton emission resulting from the interaction of the us - ui laser pulse with plasma

本論文進行了三個方面的研究：第一，超熱電子角分佈的研究，包括不同激光入射角下超熱電子的角分佈；激光不同偏振態下超熱電子的角分佈；激光預脈沖對超熱電子角分佈的影響；不同能段的超熱電子的角分佈。第二，超熱電子能量分佈的研究，包括不同方位超熱電子的能量分佈，金屬與非金屬靶材的超熱電子的能量分佈，金屬原子序數z對超熱電子能量分佈的影響以及不同能段超熱電子的能量分佈。第三，研究了超短超強激光與固體靶相互作用所產四川大學博士學位論文生的高能質子發射和能譜。

Using the theories of probability, algebra and number theory comprehensively, we investigate a class of boolean functions with three - valued walsh spectrum in the first part of this dissertation : the properties of the extended semi - bent functions, which are constructed from any two bent functions, are studied, followed by the structure characteristics of the boolean functions satisfying propagation criterion with respect to all but two vectors ; the definition and cryptographic properties of k - order quasi - bent functions are proposed whose walsh spectrum takes on only three values. some sufficient and necessary conditions are offered to decide whether a boolean function is a k - order quasi - bent function ; a special method is presented to construct the k - order quasi - bent functions, whose cryptographic properties are explored by the matrix method, which is different from the method of walsh spectrum and that of autocorrelation of boolean functions ; the application of this kind of boolean functions in the fields of stream cipher, communications and block ciphers is discussed, which shows the great importance of the fc - order quasi - bent functions ; some methodology are proposed to construct the k - order quasi - bent functions, including the complete construction by using the characteristic matrices of boolean functions, and the recursive method by two known k - order quasi - bent functions we further extend our investigation to the ring zp, where p is a prime, and the similar results are presented as far as the p - valued quasi - generalized - bent functions are considered

本文首先綜合運用概率論、代數學、數論等基礎學科的理論知識，並以頻譜理論作為主要研究工具，對一類譜值分佈相對均勻的函數? ?廣半bent函數、 k階擬bent函數和p值k階擬廣義bent函數進行了系統、深入的研究，給出了廣半bent函數定義，並探討了廣半bent函數的密碼學性質；給出了k階擬bent函數和p值k階擬廣義bent函數的定義及等價判別條件；討論了k階擬bent函數和p值k階擬廣義bent函數與部分bent函數和p值廣義部分bent函數的關系，探討了它們的密碼學性質；給出了k階擬bent函數和p值k階擬廣義bent函數的典型構造方法，並將對k階擬bent函數的密碼性質的研究轉化到對一類特殊的矩陣的研究上；利用布爾函數的特徵矩陣原則上給出了k階擬bent函數的一種完全構造方法，還給出了從已有的p值k階擬廣義bent函數出發，遞歸構造變元個數更多的p值k階擬廣義bent函數的方法；初步探討了k階擬bent函數在序列密碼、分組密碼以及通信中的應用；給出了一類布爾函數walsh譜的分解式，並利用這類布爾函數的walsh譜分解式給出了一類近似穩定的布爾函數的構造，特殊情形下為k階擬bent函數；利用代數數論的知識考察了p值k階擬廣義bent函數的譜特徵，並給出了k階擬廣義bent函數與所有仿射函數的符合率特徵等等。

One is, based on answering the above open problem on a finite dimensional euclidean space by means of partially ordered theory, to research the existence of solutions, global error bounds of proximal solutions and sensitivity of parametric unique solutions and present a class of variable - parameter three - step iterative algorithms for generalized set - valued variational inclusion problems by using - resolvent operator of set - valued mapping. two is to consider the convexity, closedness and boundedness of the solution set of general set - valued variational inclusion problems and the sensitivity of the parametric solution set by means of graphical convergence theory. three is to discuss directly the existence of solutions by using analytical methods for set - valued mixed quasi - variational - like inequalities and suggest a class of direct variable - parameter three - step iterative algorithms for solving generalized set - valued variational inclusions

研究分有三個方面：一是藉助于偏序理論在有限維歐氏空間中解決了上述公開問題，在此基礎上利用集值映射的-預解運算元，研究了廣義集值變分包含問題解的存在性、逼近解的全局誤差界、參數唯一解的靈敏性，並提出了一類變參數三步迭代演算法；二是藉助于圖收斂理論研究了一般集值變分包含問題解集的凸性、閉性和有界性以及參數解集的靈敏性；三是用分析的方法直接討論了集值混合擬類變分不等式問題解的存在性並提出了一類求解廣義集值變分包含問題的直接變參數三步迭代演算法。

The definition, the essential, the orietation model and eleven kinds of functions of mes was dissertated in the article, the relation between mes and the plan layer and the control layer was deeply analysised, and the characteristic of mes in the industry application was researched in detail. after analysised the current production condition and the existent problem in jigang plate plant, the design of system frame, dadabase and function module have been studied, and the realization of it has been expounded. for solving the low efficiency in arranging the rolling plan by man, based on the traveling salesman problem and the pack problem about 0, 1, the mathematics model of the schedule of rolling plan was put forward, and the most near insert way was introduced to solve it, the result was satisfied. based on the practical demands of jigang plate plant combined the academic research of mes software, it has been realized the valid combination between the management of production scene and the upper management software in the dissertation

本文論述了mes的定義及其實質、 mes的定位模型和其十一項功能，深入分析它與計劃層和控制層的關系，並闡述了mes在行業應用中的特點。在分析濟鋼中厚板廠生產現狀及其存在的問題后，研究了系統的體系結構設計、數據庫設計和功能模塊設計，並對其實現進行了闡述。為了解決人工經驗編排軋製作業計劃問題的低效性，提出了基於旅行商問題和0 1背包問題的軋製作業計劃排序數學模型，並採用最近插入法進行求解，取得了滿意的效果。

According to the basic mathematical model of the oil / water two - phase profile interpretation based on temperature and flowmeter logs, a similar idea to that of " first getting the retrieve function then the original function " is employed to solve the model. the recursive arithmetic suitable to computer programming has been presented, which make the profile technique available in practical production

本文根據利用流量、溫度信息確定油水兩相產出剖面的基本數學模型，提出了一種類似於函數論中常常用到的一種求形式復雜函數的辦法對模型進行了求解，從這一思想出發，給出了適合計算機程序實現的遞推求解演算法，並且編製程序對演算法進行了實現。

After introducing the sequential adjustment estimation procedure in detail, the author attempts random simulation to study the new eslimator and contrasts the efficiency of sequential - ad. iustment estimators with classic incomplete post - stratification estimators

在詳細介紹了序貫調整估計程序后，論文用隨機模擬的方法研究了該枯計量的數學性質，並將其與經典的不完全事後分層估計量做了比較。

This thesis gives a model language and a moderately complete formal description which can be used to prove the properties of static and dynamic data dependencies, and defines the notions in the iterative relaxation method formally. the program theories about the iterative relaxation method and its improvement are investigated, whose results include : the generalization of the predicate slices proposed by neelam gupta et al to path - wise static slices, and the proofs of the soundness of the construction algorithm of path - wise static slices and the soundness of the improvement

本文給出一種模型語言；給出一個比較完整的形式化描述，該描述可用於證明與靜態、動態數據依賴關系有關的程序性質；給出迭代鬆弛法中各概念的形式化定義；深入研究迭代鬆弛法及其改進后的方法的程序理論，其結果包括：將neelamgupta等人提出的謂詞片推廣為路徑靜態切片，證明路徑靜態切片構造演算法的正確性，證明改進后的方法與原方法所生成的線性約束系統相同。

The thesis studies the films " structures and properties by means of scanning electron microscope ( sem ), transmission electron microscope ( tem ), x - ray photoelectron spectrometer ( xps ), raman spectrometer, uv - vis spectrometer, thin films analysis apparatus, and target materials. it is the difference of atom ordinal number and sputter area that results in ce prior sputter and ce / ti molar ratio in films is 50 % more than ce / ti molar ratio in practical target design

利用各種分析測試方法（ sem 、 tem 、 xrd 、 xps 、 raman 、 uv - vis 、薄膜分析儀等）對薄膜的結構與性能進行了全面研究，得出如下結論：靶材的濺射由於ce 、 ti的原子序數不同，濺射閾不同而造成ce的優先濺射，薄膜中的ce ti摩爾比與實際靶材設計的ce ti摩爾比高50左右。

In the instance of the nc simulation for g - cnc6135 numerically controlled machine tool from engineering teaching center of sichuan university, the simulation software module takes effect well and bears good adaptability and expandability. 2 on the iis of windows operation system, we design the web service system for manufacturing enterprises in the miniature through the asp and ado technology, which is the transfer station and service desk of information for the client who edit the nc code and the client who carry our the simulating

在對四川大學工程訓練中心實習工廠提供的零件加工數控程序進行模擬的實踐中取得了比較滿意的效果2在windows操作系統和iis平臺上，利用asp技術結合ado數據訪問技術建立起小型的企業網站服務器系統，作為數控程序編程用戶和數控程序仿論文摘要真用戶信息交互的樞紐和信息服務的平臺。

Relevant dimension and the number of substantial state variables which are main factors influencing foundation - pit deformation, are calculated with measured time - sequence data of the settlement, the displacement of several foundation - pits, the number of substantial state variables is far less than that of the factors influencing foundation - pit deformation, the work of nonlinear numerical analyses is greatly reduced, it is of important theoretical and practical significance in guiding design and construction of deformation control

通過多個基坑實測沉降、位移、隆起量時序數據的關聯維數和實質性狀態變量個數即基坑變形主要影響因素個數計算，結果其個數大為減少，極大地減少了數值分析的工作量，對指導變形控制設計和施工具有重要的理論和實踐意義。

Not only have the reseach results about go - space enriched the contents of general topology, but also have increased ingenious creativity and breakthrough and made general topology more wonderful and lively because of making use of the theory about ordinal and cardinal in set theory, axiomitic system and combinatorial theory

一個世紀來， go -空間的研究成果不僅在內容上豐富和充實了一般拓撲學，而且由於藉助集合論的基數和序數理論、公理體系及組合思想等，在方法上也給一般拓撲學增添丁巧妙的創造性和突破性，使一般拓撲學變得更加精彩生動。

Moreover, fuzzy sets theory is adopted in the dissertation to deal with the uncertainty of the mining process and a new fuzzy frame of tsdm is given then

另外，本文用模糊集理論對時間序列數據挖掘過程中的不確定性進行了處理，提出了一種模糊時序數據挖掘的框架。

Time series is a kind of important data existing in a lot of fields, such as stock, weather, etc. with time moving, this data of time series will explode increasing. so it is important and challenging subject to research how discovery valuable knowledge in large - scale time series database, and how to search based similarity while user give a graphic query pattern

因此，對這些海量的時序數據如何進行有效的知識發現，挖掘其內在的各種變化模式：對于用戶給定具有各種抽象含義的變化模式，如何在海量時間序列庫中進行相似性的檢索等應用分析，這是一個挑戰性的、具有重要意義的理論和實際應用課題。

Therefore, the research for them has important learning value and certain degree of difficulty. just as weakening convexity of objective functions being a central issue in optimization problems, weakening monotonicity of set - valued mappings is an important research direction in set - valued variational inclusion problems

對這一問題的研究涉及到凸分析、線性與非線性分析、非光滑分析、集值分析、偏序理論、圖收斂理論等數學分支，有重要的學術價值和相當的難度。

But how to predict its reflected characteristics and equivalent electric and magnetic ( em ) parameters from components of the mixed material containing iron fibers, and how to make sure absorbing material ' s components from the required reflected characteristics, still has n ' t a viable method and calculating program. the purpose of this paper includes three contents. one is to research a method that we can calculate the oriented iron fiber mixture ' s em parameters from it ' s components

但是對于如何從塗料的配方預測其反射特性和等效電磁參數、並根據對反射特性的要求制定鐵纖維吸波塗料配方還沒有一套可行的方法和計算程序，本論文的目的是研究出一套根據塗料的配方求解定向鐵纖維混合物的等效電磁參數的方法，提供實用的計算機程序，並對混合物的等效電磁參數與鐵纖維的形貌、含量的關系進行分析，得出一些規律性的結論。