數學群論 的英文怎麼說
中文拼音 [shǔxuéqúnlún]
數學群論
英文
mathematical group theory-
Because they are fascinated by mathematics, logic, and science and have taken on the rational madness of their scientific confreres, we read much these days about information theory and its relation to the psychology and composition of music ; about statistical probabilities, stochastics, and the markoff chain and their compositional possibilities, about group and set theory as applied to serial music ; about aleatory and indeterminacy and entropy
因為他們迷於數學，邏輯，與科學，將理智狂當成他們科學同伴;我們最近讀了很多，關于資訊理論及其與心理學及與作曲的關系;關于統計或然率，隨機，及馬可夫?及其譜曲可行性;關于群組與集合理論之應用於系列音樂;關于偶發性，不確定性，與熵Form. taxus chinensis var. mairei is protecting plant in the first class, which is a precious and endangering plant in china in this paper, the quantitative characterics of form. taxus chinensis vsr. mairei population including age structure, spatial distribution pattern, growth dynamics of tree basal area, niche characterics, fractal dimension and competition between specises were studied using methods of mathematics ecology from the angle of population ecology of form. taxus chinensis var. mairei, then the prent state and the endangering causes were analysed. this research offers gist to protecting and enlarging the crude resourse of form. taxus chinensis vsr. mairei population, afforesting plantation and sustainable utilize for us
本文從南方紅豆杉種群生態學的角度、主要應用數學生態學的方法探討南方紅豆杉種群的數量特徵，包括南方紅豆杉種群年齡結構、種群空間格局（探討分佈格局動態規律與生境相互關系） 、不同立地條件下種群優勢度增長趨勢、生態位寬度、生態位相似比例、生態位重疊、空間占據能力及種間競爭等，分析其目前現狀及瀕危原因，期望為南方紅豆杉野生資源的保護和擴大、營造人工林及可持續利用提供理論基礎，也為瀕危植物種群生態學的研究提供參考。The competition among those species like s. tsinyunensis, dryopteris erythrosora and veronicastrum stenostachyum etc., is intense in the communities, which may be one of the reasons why s. tsinyunensis is going to be endangered and with a very restricted distribution. the distribution patterns of the seven populations of s. tsinyunensis are clumped among the eight populations we studied, except population v of random distribution. the spatial pattern of 6 populations of s. tsinyunensis have high consistency with the negative binominal distribution, while another 2 populations, i. e., i and iii are poisson distributions
6 ）縉雲黃芩各種群空間分佈格局基本呈聚集分佈，其中7個種群的分佈格局類型是聚集分佈，其聚集強度較高，另有一個種群為隨機分佈；其種群的離散分佈擬合結果也嚴格符合一定的數學模式，其中負二項分佈、 poisson分佈分別是該物種種群空間分佈的理論分佈模式，其中6個種群擬合出的結果是負二項分佈，種群i和種群m擬合出的結果是poisson分佈。The group theory was invading almost every domain of mathematics.
群論幾乎滲入數學的各個領域。In a human society aiming at meeting the increasing requirements of its members " material life and cultural life, marlow ' s demand theory has been broadly used in many social and economic areas due to its interpretation of the individual humanity and the group sociality. however, the mathematical methods in microeconomics can give us more elaborate proof to similar problems, for both mankind and institutions are of generality and can be expressed in quantitative terms in the economic analysis
在一個以不斷地滿足人們日益增長的物質和文化生活需要為目標的人類社會里，馬斯洛的需求理論因其對個體人性和群體社會性的揭示而被廣泛應用到社會經濟生活中的許多層面，其實我們還可以從微觀經濟學的數學方法中找到更為精美的闡述。In this paper, a two - species mutualism model system is discussed
摘要討論了二種群互惠生物數學模型。Firstly it discusses the value, meaning, background and method of this topic. then it deducts the single - bubble sound pressure, spectrum of sound pressure, power spectrum. according to the real situation of traveling bubble cavitation noise around a schiebe body, the mathematical model of single - bubble collapse is selected, furthermore, the mathematical model of mass traveling bubbles without interference effect is established, and the multi - peaks and rebound phenomenon while bubbles collapse is also analyzed with statistical method
首先論證了本項研究的意義，價值，背景和方法，然後推出了單空泡輻射噪聲聲壓，聲壓譜和功率譜，針對回轉體流動泡空化噪聲的具體情況，選擇了雙指數模型作為單空泡潰滅的數學模型，進一步建立了無干涉條件下的群泡輻射噪聲的數學模型，並用統計的方法分析了空泡潰滅時的多峰值和反彈現象。In the preprocessing stage the method of user and session identification often adopt heuristic algorithm for the being of cache and agent. this induce the uncertainty of data resource. the cppc algorithm avoid the limitation and has no use for complicated hash data structure. in this algorithm, by constructing a userld - url revelant matrix similar customer groups are discovered by measuring similarity between column vectors and relevant web pages are obtained by measuring similarity between row vectors ; frequent access paths can also be discovered by further processing of the latter. experiments show the effectiveness of the algorithm. in the fourth part, this thesis bring some key techniques of data mining into web usage mining, combine the characteristic of relation database design and implement a web usage mining system wlgms with function of visible. lt can provide the user with decision support, and has good practicability
本文演算法避免了這個缺陷，且不需要復雜的hash數據結構，通過構造一個userid - uel關聯矩陣，對列向量進行相似性分析得到相似客戶群體，對行向量進行相似性度量獲得相關web頁面，對後者再進一步處理得到頻繁訪問路徑。實驗結果表明了演算法的有效性。第四是本文將傳統數據挖掘過程中的各種關鍵技術，引入到對web使用信息的挖掘活動中，結合關系數據庫的特點設計並實現了一個具有可廣西人學頎士學位論義視化功能的web使用挖掘系統wlgms 。Logistic model is one of core theory in population ecology. it almost the only model to describle population growth for about one hundred
Logistic模型是種群生態學的核心理論之一。 100多年來，它幾乎是描述種群s型增長的唯一數學模型。In the part of orbit control, the main ideas in study is to define the nonlinear control system on a riemann manifold from the global viewpoint, and to build the intimate relation between the geometrical structure of state space and the state equation of nonlinear control system ; in the part of attitude control, the main ideas in study is to deduce mathematical model with good character based on global differential geometry ideas as well as li group and li algebra, moreover, to design corresponding control schemes
在軌道控制部分，研究的主要思想是從整體化的觀點出發定義一種建立在riemann流形上的非線性控制系統，將狀態空間的幾何結構與控制系統的狀態方程建立直接的聯系。在姿態控制部分，研究的主要思想是以整體微分幾何方法為工具，以李群與李代數等數學理論為基礎，從數學角度建立具有良好性能的數學模型，並設計出相應的控制方法。Program : to present new research results in the representation theory of finite and infinite dimensional algebras, lie algebras, algebraic groups, quantum groups, superalgebras, vertex operator algebras, and related applications to other fields of mathematics and physics
會議內容:這次會議將交流我國及世界其它國家在以下領域中的最新研究成果:有限維及無限維結合代數的表示理論;李群，李代數，代數群，有限群，以及量子群的表示理論;頂點運算元代數及其表示理論;與以上表示理論有關的數學物理及量子場論This paper studies the status of this region by theories of regional sustainable development, mathematic models and gis methods in 10 years. this article analyzes general development level, harmony status and special changes of harmony status about every period of time, discusses the influence of each sustainable development subsystem to regional sustainable development, and brings foreword development stratagems to realize sustainable development of the studied region
本文利用區域可持續發展理論，應用數學模型以及gis方法對該區域的可持續發展狀況進行了研究，分析了該區域10年來的綜合發展水平、協調性狀況以及分時段的協調狀況的空間演變，探討了該區域內各可持續發展子系統對區域可持續發展的影響，並在此基礎上提出了中原城市群經濟隆起帶實現可持續發展的發展戰略。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， 。Firstly, we introduced the main idea, the formalized description, and the basic flow of co - evolution algorithm. then, from the point of pattern analyzation, we established the mathematics model of the multi - population co - evolution algorithm based on pattern replicator equation of the single population genetic algorithm, and made the theoretical analysis and compare for the method of best choice and the method of random choice of the co - evolution algorithm. we put forward a new method for the individual fitness evaluation, and validated the performance of the new method by the simulation experiment
首先，在介紹了協進化演算法的核心思想、形式化描述和基本演算法流程的基礎上，從模式分析角度出發，建立了基於模式復制方程的多群體協進化演算法數學模型，對協進化演算法中的最優選擇法和隨機選擇法進行了理論分析與比較，提出了一種新的個體適應度評價方法，並通過模擬實驗驗證了新方法的效率。Their titles are : 《 the investigation of aca in the optimization of controller parameters in the thermal automation system 》, 《 realization of simulative simulation in wan 》, 《 inspired simulator and application in steam system of power units 》, 《 study and realization of wet flue gas system simulator in power plant 》
其中，張倩同學的論文題目是《蟻群演算法在熱工自控參數優化中的應用研究》 ，陳孝偉同學的論文題目是《激勵式模擬系統在廣域網中的實現》 ，何麗娜同學的論文題目是《激勵式模擬機及其在火電機組蒸汽系統中的應用》 ，白永鳳同學的論文題目《火電廠濕法煙氣脫硫系統模擬機的研究及實現》 。Each chapter of the paper reads as follows. firstly, the uniform persistence of the system is proved ; secondly, by using the independent subsystem method, the more brief sufficient conditions for the existence and global attractivity of the periodic solution and a mathematical example is obtained to show its practicality. finally, the conditions of the existence of the positive almost periodic solution which is uniformly asymptotically stable are derived by the razumikhin function method and a mathematical example is obtained
在本文中，首先對于這兩類模型，分別考慮各種群的一致持久性；通過對獨立子系統的討論得到了，當系統是周期系統時，周期正解的存在唯一和全局吸引性，當系統是概周期系統時，正概周期解的存在性和一致漸近穩定的條件，並對上述兩種情況分別給出了說明其可行性的數學例子。Algorithms for the minimal polynomial and the inverse of a given block symmetric circulant matrix over a group algebra of a finite group over a field are presented. and a method of determining singularity of this block symmetric circulant matrix is given
?給出了求域上有限群的群代數上的塊循環矩陣的極小多項式的演算法，西安電子科技大學博士學位論文:多項式代數及其應用奇異性判別法及其逆矩陣的求法( 1 ) the cfd model for the pulse combustion spray drying process. the computational fluid dynamics ( cfd ) based on the two - phase flow theory was employed in this paper, which used the standard k - e model and the particle trajectory model to simulate the gas - particle flow in the drying chamber. the momentum, heat and mass transfer regarding both gaseous and particulate phases during the spray drying inside the drying chamber was also revealed
為解決這一難題，本文利用氣體一顆粒兩相流理論和計算流體力學（ cfd ）技術，建立了更符合實際噴霧乾燥過程的數學模型即噴霧乾燥的cfd模型，並進行了脈動燃燒噴霧乾燥過程模擬，其主要內容如下： （ 1 ）建立了脈動燃燒噴霧乾燥的cfd模型該數學模型建立在氣體一顆粒兩相流基礎之上，用標準k -模型預測乾燥室內的氣體湍流運動過程，顆粒軌道模型追蹤乾燥室內顆粒群的運動軌跡，熱質傳遞模型描述空氣和液滴的熱質傳遞過程。To machine the honeycomb sandwich, an interpolation method based on a rotary axis is also studied. with the round vector function and rotary movement group, a model of the error curved surface of the theoretical ellipsoid is set up to describe the actually measured surface
以圓矢量函數和回轉運動群為工具討論了曲面的誤差變換，利用理論橢球面的誤差曲面建立了實測曲面的數學模型，通過求解理論曲面的法線實現了實測曲面的等距計算和陰陽面數據轉換。Since c. n. yang [ 1 ] and r. j. baxter separately established quantum yang - baxter equation in 1960s, the investigations on quantum integrable models have been greatly promoted. especially the theory of yangian and quantum algebra theory that were established by v. g. drinfeld offered a powerful mathematic method for the reach about the symmetry of quantum integrable models in physics
自從楊振寧和r . j . baxter分別於1967年與1972年創建了量子楊-巴克斯特方程以來，量子可積模型方面的研究取得了很大進展，特別是v . g . drinfeld所建立的yangian和量子群理論對物理中的量子完全可積模型的對稱性研究提供了強有力的數學工具。分享友人