質數定理 的英文怎麼說
中文拼音 [zhíshǔdìnglǐ]
質數定理
英文
prime number theorem-
Let / be a function from rn to r. following the definitions of the generalized gradients proposed by clarke and xu yihong, respectively, we define the d - regular weak lipschitz function and propose a new generalized gradient as follows where d _ f ( x ; d ) is the directional derivative of / in the direction d at the point x, namely some properties are proposed
第二節引入基本定義和記號，在clarke和徐義紅提出的各自的廣義梯度的基礎上，定義了一類d正則弱l函數，且提出了一個新的廣義梯度。設f ： r ~ n r ，其廣義梯度為其中為f在處沿方向d的方向導數，即並給出了若干性質定理。In chapter 3, we study the property of complete exceptional sequence. in chapter 4, we make research on the hochschild cohomology of endomorphism algebras of complete exceptional sequence over hereditary algebras
第三章，我們證明了有限維遺傳代數中，完備例外序列的維數向量的性質定理以及完備例外序列的誠實性。The efficiency and reliability of minerogenetic prediction can be improved by combining rs with gis. we processed rs images, extracted the geological information related to mineralizing, such as geology, structures, stratam, rocks, etc, synthetically analysed remote sensing, the geological data and geo - chemistry, under the guidance of the theory and mathematic model, set up gis mineralize model. on this condition, to develop this method and its theory, and to establish a system of perfect prediction, it is not only useful in studied degree area but also favorable for looking for new type and some form large - scale deposits in old studied area, and it has a great theoretical meaning
遙感與gis相結合用於成礦預測中可大大提高預測工作的效率和可靠性。通過對研究區的遙感圖像處理和地質、構造、地層、巖石、礦化蝕變等有關信息的特徵提取、遙感、地質數據和物化探數據的綜合與復合分析，在一定成礦理論和數學模型指導下，建立gis綜合找礦模型。在此基礎上，發展這一方法及理論並建立完善的預測體系，不僅對研究程度較低的新區礦床預測有用，而且對研究程度較高的老區尋找新類型和點狀大型、超大型礦床都具有重要理論意義和實際意義。The anton paar density and sound velocity analyzers combine two independent parameters, density and sound velocity, to cover a wide range of applications such as quality control in beer and soft drink production, concentration determination of sulphuric acid and oleum or ternary solutions
安東帕密度和聲速分析儀結合兩種獨立參數- -密度和聲速，覆蓋大范圍的應用如：啤酒和軟飲料生產中的質量管理、硫酸、發煙硫酸或三元混合液體濃度的測定。The limit theory of law of the iterated logarithm have received more and more attentions, especially about identical independent random variables. but up to now, the studies are only for partial sums and, have n ' t shown any concern on the special finite partial weight suras. however, the partial sums and partial weight sums not only have the osculating aspects, but also have essential difference between them. so the studies for these play an important role in theoretical and applied setups
因此對重對數律的研究引起了國內外學者的興趣，對獨立同分佈的隨機變量，許多學者做了大量的研究工作，但迄今為止這方面的研究仍限於部分和數列的重對數律，很少涉及到特殊加權和的領域，而部分和與加權和之間既有密切聯系，又有本質不同，因此，這一問題的研究具有一定理論意義和應用價值。According to the distribution peculiarity of the two characteristic moments, the accessibility of water quality in taizhou source of yangtze river has been analyzed based on the maximal contamination zone of entire tide and the relationship between the length of contamination zone and the pollutant load. simultaneously, every project has been analyzed and compared by using the model in wuli lake water environmental renovation for getting some theoretic gist and technical supports for the engineering
在此基礎上進行泰州江段水流水質數值模擬，建立排污混合帶范圍與排污量關系曲線，並對泰州江段供水水源地水質可達性進行了分析；將模型應用於五里湖水環境治理工程中，預測各引水方案下湖體水質狀況並進行各方案分析，從而為工程實施提供一定的理論依據和技術支持。Lots of concrete examples are (, ) - metrics. and one of fundamental problems in finsler geometry is to find and study finsler metrics with constant ( flag ) curvature. on the basic, we majarly study the following problems in present paper : ( a ) to the property of a class of (, ) - metrics in which is parallel with respect to riemann metric a and riemann metric a is of constant curvature, we obtain the following theorem4. 3 let f (, ) be a positive definite metric on the manifold m ( dimm > 3 )
在finsler幾何中，我們現在已知的finsler度量已經很多了，但大多數具體的例子主要都集中在（ ， ） ?度量中，又在finsler幾何中一個基本的問題就是去發現和研究具有常曲率的finsler度量，基於這些本文主要研究了以下一些問題： （ a ）一類關於是平行的並且riemann度量具有常曲率的（ ， ） ?度量的特殊性質，得到了如下的定理4The paper discusses the relations between complete convergence and almost uniform convergence, almost everywhere convergence, convergence in measure of fathomable functional sequence, and presents two common properties and one decision theorem
摘要討論了可測函數序列完全收斂與幾乎一致收斂、幾乎處處收斂、依測度收斂之間的關系，並給出了它的兩個常用性質和一個判定定理。The main factors which affected the flight stability quality included : forward flight speed, slung - load and helicopter mass ration, slung - load aerodynamic forces and cable length, etc. through adjusting the above structure and performance parameters, rational flight parameters can be decided, which can ensure the safe helicopter mission operations of the slung - load flight
影響飛行品質穩定性要求的主要因素為:直升機飛行速度、吊掛物/直升機質量比、吊掛物氣動特性、吊掛鋼索長度等。通過對上述結構參數、性能參數的調節，可確定合理、經濟的飛行參數，保證安全、高效的完成直升機機外吊掛飛行運輸任務。It builds a physical model according to hoisting capacity, lifting angle and structural stabiliy, theory, solves the problem of function relationships among lifting capacity, lifting angle, boom weight, boom dimension and deduces the natural boundary condition of design parameters, providing a new way to determine crane design parameters
摘要將起重量和起吊幅度為基本設計依據，以壓桿穩定理論為分析基礎，結合專業知識，建立物理模型，解決了起重量、起吊幅度與吊臂質量、吊臂主要參數之間的函數關系的難題，首次確定出設計參數的自然邊界條件，為起重機設計者提供了確定設計參數的新方法和科學依據，具有開創意義。In latter part of chapter three, some exciting properties of the revised lagrangian function discussed first, which leads to form a dual algorithm of cora or cot. convergence theorem proved by banach perturbation theorem, bertsekas implicit function theorem ii and by analyzing hesse matrix of revised largrangian function
另一類是構造相應的lagrange函數及其一種對偶演算法的迭代格式，討論了修正lagrange函數的性質，並藉助banach擾動定理及bertsekas第h隱函數定理，及對修正lagrange函數hesse陣分析，證明了該演算法的收斂性Analyze characterizations of determine set for the social choice function which domain is profiles of linear order. and then prove arrow impossibility theorem with this characterizations
分析了定義域為線性偏好斷面的社會選擇函數的決定集的性質，並用這些性質來證明arrow不可能定理。The auto - proof capability of dc 2060 is also a feature of fuji xerox. the reacs and i - tracs technology includes software and sensitive devices that continuously monitor all the aspects of the operation of the system, and adjust picture quality during the process of printing. this feature ensures the even output quality of digital printers
Dc 2060的自動校色功能也是富士施樂的特色之一， tracs和i - tracs技術負責管理復雜的全感器和軟體，不斷監控系統運行的各個方面，並在列印過程中，即時進行圖像質量的調整，使數碼印刷機輸出品質恆定如一的特性得以淋漓盡致的發揮。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， 。The second chapter sets forth the theorem basis of fractal image compression. by researching the property of iterate function system in metric space, two basic theorems are brought outthe fixed - point theorem of contract mapping and collage theorem. in the third chapter, fractal image compression method based on block partition is discussed and implemented
接著在第二章中闡述了分形圖象壓縮的理論基礎，通過對完備空間中迭代函數系統性質的研究，提出了分形圖象壓縮的兩個基本定理：壓縮映射的不動點定理和拼貼定理。Chapter two mainly uses qualitative research method, and exploits solo theory as an instrument, according to the content of middle school students " explanation to mathematical concepts, mathematical theorem and problem solving. the primary conclusion is that the mid - school students in our nation as a whole have a low level of conceptual understanding in mathematics
第二章主要利用質的研究方法，並以觀察學習結果結構（ solo ）分類為中學生數學解釋的研究工具，根據中學生對數學概念、數學定理和問題解決過程中的數學解釋內容，初步得出我國中學生在總體上數學概念性理解水平較低Management professionals who lead improvement of operation, business process and quality, or are in charge of r & d, manufacture and service process. ideally be with university education and computer knowledge
負責企業內部運營管理，業務流程管理，質量管理，產品和技術研發管理，生產過程管理以及服務流程管理的中層管理者和相關負責人。學員應該具備一定的數理基礎知識和電腦操作知識。Expressions in three kinds of perfectly matched layer ( pml ) absorbing boundary conditions is also given. second, the numerical theories of the auxiliary fields fdtd method is studied, including the stability of the differential equations and the numerical dispersive relationship. the stability of two kinds of differential formulations and three kinds of pml is compared, using a straight method depending on the pmax - t graph
更進一步，研究了輔助場fdtd方法的數值理論，對其微分方程、差代方程的穩定性進行了分析，比較了有耗媒質中的兩種差分格式和三種理想匹配層中的差分格式的穩定性，提出了一種通過p _ （ max ） - t曲線判定穩定性並求出穩定性條件的直觀方法，並導出了該方法的色散關系式。In chapter two, under non - lipschitz condition, the existence and uniqueness of the solution of the second kind of bsde is researched, based on it, the stability of the solution is proved ; in chapter three, under non - lipschitz condition, the comparison theorem of the solution of the second kind of bsde is proved and using the monotone iterative technique, the existence of minimal and maximal solution is constructively proved ; in chapter four, on the base of above results, we get some results of the second kind of bsde which partly decouple with sde ( fbsde ), which include that the solution of the bsde is continuous in the initial value of sde and the application to optimal control and dynamic programming. at the end of this section, the character of the corresponding utility function has been discussed, e. g monotonicity, concavity and risk aversion ; in chapter 5, for the first land of bsde, using the monotone iterative technique, the existence of minimal and maximal solution is proved and other characters and applications to utility function are studied
首先，第二章在非lipschitz條件下，研究了第二類方程的解的存在唯一性問題，在此基礎上，又證明了解的穩定性；第三章在非lipschitz條件下，證明了第二類bsde解的比較定理，並在此基礎上，利用單調迭代的方法，構造性證明了最大、最小解的存在性；第四章在以上的一些理論基礎之上，得到了相應的與第二類倒向隨機微分方程耦合的正倒向隨機微分方程系統的一些結果，主要包括倒向隨機微分方程的解關于正向隨機微分方程的初值是具有連續性的，得到了最優控制和動態規劃的一些結果，在這一章的最後還討論了相應的效用函數的性質，如，效用函數的單調性、凹性以及風險規避性等;第五章，針對第一類倒向隨機微分方程，運用單調迭代方法，證明了最大和最小解的存在性，並研究了解的其它性質及在效用函數上的應用。Some limit properties of sequences of arbitrary b - valued random variables are studied by using truncation methods of random variables and conditional three series theorem, a class of strong limit theorems and convergence theorems for martingale difference sequences related to the conditional expectations are obtained, and some conclusions corresponding to these and some classical strong laws of large numbers are generalized
摘要利用隨機變量的截尾方法和條件三級數定理，研究任意b值隨機變量序列的極限性質，得到了一類關于條件期望的強極限定理和鞅差序列收斂定理，推廣了與此相應的一些結果和若干經典的強大數定律。分享友人