解析數論 的英文怎麼說

中文拼音 [jiěxīshǔlún]
解析數論 英文
analytic number theory
  • 解 : 解動詞（解送） send under guard
  • 析 : Ⅰ動詞1. （分開; 散開） divide; separate 2. （分析） analyse; dissect; resolve Ⅱ名詞（姓氏） a surname
  • 數 : 數副詞（屢次） frequently; repeatedly
  • 論 : 論名詞（記錄孔子及其門徒的言行的「論語」） the analects of confucius
  • 解析 : analysis; resolution; analyzing; resolving解析幾何 [數學] analytic geometry; cartesian geometry; ...
  1. Fist of all, on the basis of the research of agone boffins, this author investigates the interaction mechanism of bolts and rock, and introduces the elastic ? lastic analytical resolution which is consist of the liner structure, the equivalent reinforced wall rock and the original wall rock in the simple loading from the equivalent well - proportioned view ; this solution is very important meaning for the engineering design. on the basis of coulomb friction model, the author introduces the finite element equation of the contact problem in order to provide the academic foundation for the application of msc. marc. finally, combining the engineering practice of the non - linear analysis of shield tunnel through yellow river of the south - north water transfer and using the model of friction, the author researched the evolution law of stress and displacement field in the structure of grouted rock bolts, and analyzed the effect to the stress and deformation of surrounding rock mass due to anchor supports

    首先，在前人研究成果的基礎上，對錨桿與圍巖的相互作用機理進行研究，利用全長錨固錨桿的中性點理論，從等效均化的角度來考慮錨桿對圍巖的加固作用，並推導了在簡單荷載作用下，含有襯砌、等效加固后的圍巖、原始圍巖三者的彈塑性解析解，對工程設計有著重要的參考意義；在數值模擬方面，以考慮錨固圍巖滿足規則化庫侖摩擦模型為基礎，利用虛功原理推導了接觸問題的有限元方程的計算格式，為開發運用大型商用有限元軟體msc . marc提供了理論根據，也形成了本文的理論基礎：最後，論文以南水北調東線穿黃隧洞穩定性分析項目為工程實例，利用本文所述的接觸問題的摩擦模型理論，對錨桿支護結構的應力場、位移場的變化規律進行了研究，分析了加錨支護對隧洞圍巖應力、變形的影響。
  2. In this thesis, the author analyses the deficiency in detecting and controlling function of the computer detecting and controlling system utilized in present transforming station. the strategy of design of software on operation and direction of 5 00kv transformer station is presented. it points out that we can deduce the mathematic analytical formula using the current, voltage and power of two terminals of transmission line as input. on this basis, we do realtime calculation of 500kv transmission line ' s parameter. we can also deduce the linear analytical formula of three - winding autotransformer ' s resistence using its current, voltage and power as input. the corresponding software is programmed on this basis

    論文提出以輸電線路本端和對端電流、電壓、功率作為輸入量，導出了超高壓長線的波阻抗和傳播常數的數學解析式，在此基礎上進行了500kv輸電線路實時參數計算；提出以三繞組自耦變壓器的電流、電壓、功率為輸入量，導出了自耦變壓器繞組的電阻、電抗的線性解析式並進而對變壓器的實時參數進行計算；在此基礎上編制了相應的軟體。
  3. The approximation analysis result of band dipole model is obtained on the basis of the theory of mfl. the electromagnetic distribution feature of the defect in the steel panel is studied by means of simulation. the leakage magnetic distribution of the two defects and four defects plural and the defects in the column differently in the width are also assayed. conclusions that factors affecting flaw magnetic leakage to the panel also affect the column and magnetic leakage bx should be the feature of the flaw identification to several flaws are drawn

    在對漏磁檢測原理進行詳細介紹的基礎上，得出了帶偶極子模型的近似解析解，並以有限元數值模擬分析為主要手段，以鋼板上缺陷為對象，分析了各因素對缺陷漏磁場產生影響的不同規律，同時模擬分析了板上平行的兩條裂紋，四條裂紋以及柱體上寬度不同時的裂紋的漏磁場分佈特徵，得出結論:影響板上缺陷漏磁場的諸因素會對柱體上缺陷漏磁場產生同樣的影響;對于多條裂紋，宜用漏磁分量bx作為缺陷識別的特徵量。
  4. This paper deriving the theory work inflection point in the static stage characteristics curve of small measurement range linear dimension measurement. by the way of high pressure and back pressure pneumatic measure and designed the parameter of the mainly and measure spray head, which are the key component in the spray head - baffle pneumatic sensor. the different groups for the main - spray head and the measure spray head, will effect the dynamic and static stage characteristic parameter. the author have done contrast experiment and optimization design to test and verify the theory derivation whereby made the rang of show valve of pneumatic measure system measure range up to 40 u m, the sensitivity up to 100mv / u m, resolution up to 0. 05 p m, the uncertainly of measure is less than 0. o2 u m, satisfaction of requirement of groups the carboy hatch thickness size precise measure of soft shims

    對高壓背壓式氣動測量用於小量程線性尺寸測量的靜態特性曲線的理論工作拐點進行了推導，對氣動測量系統中的噴嘴-擋板型氣動傳感器中的關鍵部件? ?主噴嘴和測量噴嘴的參數進行了理論設計，對主噴嘴和測量噴嘴的不同組合，將影響測量系統靜、動態特性指標的噴嘴參數進行了對比實驗和優化設計，並通過實驗驗證了理論推導，從而使氣動測量系統量程的示值范圍達到40 m ，靈敏度達到100mv m ，解析度達到0 . 05 m ，測量不確定度小於0 . 2 m ，滿足了壓縮機缸蓋軟體墊片厚度尺寸精密測量分組的要求。
  5. Taking a view of pure time field, this paper presents dissolvable signals and basic concepts of sampling ; and also gives the very condition of discrete of signal ; this paper uses linear algebra to analysis this kind of signal and then gives some results and relevant deductions ; based on these results, 1 made a further step to analysis some typical band - limited signals in order to proof the coherence of my theory of dissolvable signal to the typical sampling theory ; i made some preliminary study about the feasibility of sampling and recovering of this kind of signal

    本文從純時域角度出發，給出了可分解信號及其采樣的基本概念；也指出了信號可離散化的條件；利用線性代數理論給出了對這類信號進行采樣的分析理論及相應的推論；並用這些結論對典型的帶限信號進行了分析，證明可分解信號采樣定理與經典采樣理論的一致性；初步探討了對這類信號的實行采樣與恢復的工程實現問題。
  6. To select a cylindrical plane cathode ; to design proper focus electrodes in order to control the formation of beam in methods of solving equations, electrobath and simulation aided by computer. to correct effects of anode hole and work out curves of designing guns ; to discuss plasma cathode guns at last

    選用圓形平面陰極;設計恰當的聚束極形狀以控制電子束的成形，並使用解析法、電解槽法和數值方法三種方法進行設計;考慮陽孔效應對電子束傳輸的影響，修正陽孔效應，給出電子槍設計曲線;最後討論一下等離子體陰極電子槍。
  7. It is generally impossible to obtain the analytic optimal guidance law for complex nonlinear guidance systems of homing missiles, and the open loop optimal guidance law is often obtained by numerical methods, which can not be used directly in practice. the neural networks are trained off - line using the optimal trajectory of the missile produced by the numerical open loop optimal guidance law, and then, the converged neural networks are used on - line as the feedback optimal guidance law in real - time. the research shows that different selections of the neural networks inputs, such as the system state variables or the rate of los ( line of sight ), may have great effect on the performances of the guidance systems for homing missiles. the robustness for several guidance laws is investigated by simulations, and the modular neural networks architectures are used to increase the approximating and generalizing abilities in the large state space. some useful conclusions are obtained by simulation results

    對于復雜的非線性導彈制導系統，很難求得其解析的最優制導律，只能求得開環的數字解，不能適用於具有時變不確定性的導彈制導系統.利用神經網路的學習和推廣能力，對開環的數字最優制導律進行離線的學習，作為閉環的神經最優制導律在線應用.研究分別選擇系統狀態變量和視線角速率等不同的神經網路輸入對制導系統性能的影響，以及各種制導律的魯棒性問題，並採用模塊化神經網路結構提高神經網路的學習和推廣能力，模擬結果得到一些有益的結論
  8. Second, we discuss the influence of environmental referance potential temperture and thermal wind on mesoscale symmetric instability. we find the expression of disturbance stream function and criterion of symmetric instability by analytical method and conclude that change caused by environmental referance potential temperture with height and thermal wind make critical richardson number and disturbance critical half - wave length of symmetric instability larger, that is to say, they benefit the occurance of symmetric instability. third, we study nonlinear perturbation analysis of mesoscale vertical circulation and evolution equation by means of f - plane. non - hydrostatic balance and filiter model

    第二，討論了環境位溫與熱成風因子對中尺度對稱不穩定的影響。運用解析的方法求出了擾動流函數的表達式和對稱不穩定的判據，發現環境參考位溫隨高度的變化與熱成風因子使得對稱不穩定臨界理查遜數及擾動的臨界半波長都變大，這有利於對稱不穩定的發生。第三，採用f平面、非靜力平衡、濾聲波模式，討論了中尺度垂直環流非線性攝動分析及演變方程。
  9. Disigning coolant channel on the firebox of liquid rocket engine to loxodrome ( equal - angle helix ) groove can improve firebox coolant capability greatly. because the width dimension of loxodrome groove is narrow and the depth is deep, some machining methods are incapable, such as end - milling or electrochemistry. according to the peculiarities, a cnc disk - cutter - milling method which is composed of five motion axes with four simultaneously interpolated ones is researched. because most firebox generatrix is composed of complex curves, it is very difficult to get cnc cutting program with manual means. in order to deal with the problem, the loxodrome mathematics model is studied, and an auto - programming software system is developed. the software system can generate cnc cutting program of loxodrome on many kinds of turned surface. the constriction - distension segment of firebox is the most representative workpiece. the sharp changing of its generatrix slope makes loxodrome milling difficult. with the theory analyzing and practice cutting experiment, some applied techniques, which include milling mode and direction, choosing cutter diameter and cutting start point setting, are developed. adopting the technology above, tens regular workpiece have been manufacturing. the two - year manufacture practice has confirmed the validity and feasibility of developed loxodrome coolant channel milling method. the developed technology is also worth to be referenced to other similar workpiece

    將液體火箭發動機燃燒室的冷卻通道設計為斜航線（等傾角螺旋線）槽形，可以大幅度改善燃燒室的冷卻性能.斜航線冷卻槽的槽寬尺寸較小而槽深尺寸較大，所以無法使用棒銑刀銑削、電化學等加工方式.針對這些特點，提出了五軸控制、四軸聯動的數控片銑刀銑削加工方法.由於燃燒室外表面的母線輪廓復雜，手工編制數控加工程序難度大.為了解決數控加工程序的編制問題，研究了斜航線的數學模型，開發了自動編程軟體系統.使用該系統，可以生成多種母線輪廓回轉體外表面上的斜航線數控加工程序.燃燒室收斂-擴張段的母線斜率變化大，加工難度大，是斜航線冷卻通道加工的最典型工件.經過理論分析和實際切削實驗，研究了針對該類型工件的片銑刀直徑選擇、銑削方式和方向、刀具調整和起刀點的設置等多項實際的加工方案.採用上述的一系列技術，已經成功地加工了數十個合格工件.經過兩年多的實際生產過程應用，驗證了所開發的斜航線冷卻通道加工方法的正確性和可行性.這些加工技術的研製成功，對其他相似類型零件的加工亦具有參考意義
  10. In this paper matlab and vb are used to build a software which can predict absorption coefficient ' s of the underwater anechoic coatings from these analytical models. finally, some algorithm of the single parameter minimization, nonrestraint nonlinear minimization and restraint minimization in the optimization design theory are studied. the formulas of absorption coefficient of these analytical models are object functions

    本論文利用各種解析模型的聲學設計理論，使用matlab與vb軟體建立了一套水下消聲覆蓋層吸聲系數預報軟體，研究了最優化設計中單參數最小化、無約束非線性最小化和有約束最小化理論的一些演算法，利用現有模型的吸聲系數計算公式作為目標函數，初步優化了一些結構的材料參數。
  11. This paper reviews the history of research of long - range dependence and self - similarity in data network traffic, introduces the related concepts and discusses the physical interpretation of long - range dependence and self - similarity along with fractional brownian motion. finally, a method for generating fractional brownian motion random series is analyzed

    本文將介紹長程依賴和自相似在計算機網路研究中的歷史狀況，相關數學概念，給出了基於分數布朗運動的計算機網路業務流呈現長程依賴和自相似屬性的數學和物理解釋，討論分析分數布朗運動隨機序列生成方法。
  12. The development course of mathematical conjecture is demonstrated from its definition, origination, categorical character, resolvent using a method of historical analysis, the conclusion shows that mathematical conjecture is a convenient scientific method and an important thought form. to sum up, the study and the settlement of mathematical conjecture not only richen mathematical theory, but creat a lot of new methods, furthermore, it promotes the research on mathematical methodology and advance a development of mathmatics itself

    研究了數學猜想及其對數學發展的影響.採用歷史分析的方法，從數學猜想的定義、來源、提出方法、類型和解決的主要方法等方面論述了數學猜想的歷程和發展.數學猜想是數學研究的一種常用科學方法，又是數學發展的一種重要思維形式，研究和解決數學猜想，不但可以豐富數學理論，還會創造出許多新方法，促進數學方法論的研究和推動數學的發展
  13. Some identitiess are important in function theory, combinatorial mathematics, analytic theory of number and other regions. in this paper, some combinatorial identities are proved based on binomial generating function

    摘要一些恆等式在函數論、組合數學、解析數論等學科的研究領域中極為重要。以二項式作為生成函數，給出了幾個組合恆等式證明。
  14. Parsing certificate is anthetication to a user and process of getting information. research and developing pki certificate discriminator make us iucubrate pki and standard algorithm in cryptography so it is significance both in theory and practice

    解析數字證書就是對用戶身份的認證和用戶公鑰的提取過程，研究和開發pki數字證書鑒別器，促使對pki體系和密碼學標準演算法的深入研究，具有理論和實踐上的雙重意義。
  15. Abstract : in this paper, we consider a class of irrational rumber which can be approximated by rational number at most exponental order ， applications are given in partial differential equation and dynamical systems

    文摘:文中考慮一類最多可以指數地有理逼近的無理數，並指出它們自然地存在於偏微分方程解析理論及動力系統中
  16. Our numerical investigation in the original electronic relaxation oscillator shows very good agreement with the analytical conclusions

    對實際的電張弛振子模型的數值調研結果與此解析結論非常好地定性符合。
  17. With the bringing forward of the digital human conception and the growning up of the frequency analysis theory, the requirement that implementing the frequency - motion synchronization design system by music - driven mode has been refered to the research of digital art design domain more imminently

    隨著虛擬人概念的提出和音頻解析理論的日臻成熟，以音樂為驅動模式來實現音頻、視頻同步設計系統的需求越來越迫切得被提到數字化藝術設計領域的議事日程上來。
  18. Based on the idea of the measured displacement can be divided into elastic and plastic parts, elastic parameters can back analyzed by the elastic displacement, which is the measured instant after blasting excavation. the strength parameter can be got by plastic deformation, which is the measured during the period of construction loop without blasting excavation. lastly, depending on fenner formula, a new and valid evaluating criterion for tunnel stability is presented and the effect of deformation modulus, cohesion, internal friction angle and overburden can be considered

    以解析理論為基礎提出一種實用而簡便的圓形洞室彈性反分析方法，且將其應用推廣到其它洞型、分步位移等不同情況；提出一種圍巖強度參數反演方法，並對其可靠性進行了初步研究； （ 4 ）依據芬納公式提出了能夠考慮圍巖變形模量、強度參數、埋深等主要因素的、新的、有效的圍巖穩定性評判方法。
  19. To reply the inquiry of several scholars on " the simulation of tunnel external water pressure by analytical - mathematical method ", the coefficient method, localization of pure numerical method, analytical - mathematical method relating to the calculation of tunnel external water pressure, together with the detail of the example in that paper, are discussed in the paper

    摘要針對有關學者對《深埋隧道外水壓力計算的解析數值法》一文的討論，探討了隧道外水壓力計算中作用系數法、單純數值方法的局限性、解析數值法以及與計算實例等相關的幾個問題。
  20. Professor todd cochrane introduced a sum analogous to the dedekind sum, where a is defined by the equation aa = 1 mod k, denotes the summation over all a such that ( a, fc ) = 1

    關于s （ h ， k ）及s （ h ， n ， k ）的性質，許多學者作了廣泛的研究。美國解析數論專家toddcochrane介紹了一個與dedekind和相似的和如下：這里表示對所有的與k互素的求和。
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