有理級數 的英文怎麼說

中文拼音 [yǒulǐjíshǔ]
有理級數 英文
rational series
  • 有 : 有副詞[書面語] （表示整數之外再加零數）: 30 有 5 thirty-five; 10 有 5年 fifteen years
  • 理 : Ⅰ名詞1 （物質組織的條紋） texture; grain （in wood skin etc ） 2 （道理;事理） reason; logic; tru...
  • 級 : Ⅰ名詞1 （等級） level; rank; grade 2 （年級） any of the yearly divisions of a school course; gra...
  • 數 : 數副詞（屢次） frequently; repeatedly
  • 有理 : 1 （有道理） reasonable; justified; in the right 2 [數學] rational; 有理函數 rational function; ...
  • 級數 : [數學] progression; series; number of stages; number of steps; stage number級數變換 transformatio...
  1. Theorem 9 ( rearrangement theorem ) the terms of an absolutely convergent series can be rearranged without affecting either the convergence or the sum of the series

    定理9 （可交換性定理）絕對收斂級數經改變響的位置后構成的級數也收斂，且與原級數有相同的和（即絕對收斂級數具有可交換性） 。
  2. The theoretic calculating method of the maximum and the minimum water level in the differential surge tank has been derived firstly. also the explicit method of calculating surges in the differential surge tank has been deduced firstly by use of thaler series expansion. the calculating method of section of the well and the effective impedance hole in the surge tank has been gived

    根據差動式調壓室的基本微分方程，首次推導出了差動式調壓室涌浪幅值的理論計算公式；並同樣利用泰勒級數展開方法推導出了差動式調壓室水位波動的顯式計算式；導出了差動式調壓室大井面積和有效阻抗孔面積的計算方法。
  3. The elastic foundation model is considered as two - parameter elastic foundation model and its effect to moderate - thick plates are taken into account by a set of governing differential equations. united with hu hai - chang ’ s function, least squares collocation weighted residual method which uses b - spline function as trial function is put forward for solving the bending problems. compare with the results of finite element method of lines, spline finite strip method, accurate solution of series etc. it is proved that the method in this article has adequate accuracy and practical feasibility

    本文採用瑞斯納中厚板理論求解彈性地基板，建立雙參數地基與中厚板相互作用的控制微分方程，結合胡海昌的解耦函數，運用雙五次b樣條函數作為試函數的離散型最小二乘加權殘值法分析了雙參數地基上的中厚板的彎曲問題，並將結果與有限元線法、有限條法、級數精確解等進行比較，證明本文方法具有足夠的精確性與實際的可行性。
  4. Theorem 1 ( bounded sum test ) a series of nonnegative terms converges if and only if it ' s partial sums are bounded above

    定理1正項級數收斂的充分必要條件是：它的部分和數列有上界。
  5. Fpga and dvb standard are introduced firstly, dvb - c standard and composition of its system are analyzed completely, development of modulator structure and dvb - c digital modulator composition are presented, more over, analysis of respective modular are given. then, principle of dvb - c digital modulator system are presented, they are error control technique 、 mqam 、 nyquist rule and root raised cosine filter 、 window design method for fir filter 、 multi - rate signal processing ( integer interpolating, conversion of fractional sampling, equal conversion of net structure, polyphase structure for filter, poly - phase structure for interpolator, multi - stage implementation of samplying conversion ) 、 distrubited algorithm 、 cic filter 、 dds 、 cordic algorithm

    接著，專門利用一個章節闡述了dvb - c前端調制系統原理，他們了差錯控制技術、多進制調制（ mqam ） 、 nyquist準則與平方根升餘弦濾波器、有限沖擊響應濾波器的窗函數設計法、多抽樣率信號處理包括（整數倍內插原理、分數倍抽樣率轉換、網路結構的等效結構、濾波器的多相表示、內插器的多相表示、抽樣率轉換的多級實現） 、分散式演算法、 cic濾波器、直接數字頻率合成（ dds ） 、 cordic演算法。
  6. An idea, simulating the fuzzy model by establishing the fuzzy model and fuzzy control rule of the controlled object is proposed. generally, it is difficult to acquire the accurate mathematical description of the controlled object. a dynamic modulating factor is introduced in the designing of the fuzzy controller so as to improve the precision of the fuzzy control. and a more convenient defuzzify calculation method is adopted. the cart and the single inverted pendulum are taken so as to illustrate the simulation result. in addition, the detailed qualitative analysis of the fuzzy system is achieved. a kind of common method of qualitative analysis is proposed. it can be used to analyse the fuzzy system and describe the behavior of the system state precisely in the phase plane. the simulating results illustrated the method is feasible and available

    提出了在難以精確描述控制對象數學模型的情況下，通過建立控制對象的模糊模型來確定系統的模糊控制規則，並對模糊系統進行模擬分析的思想.利用連續系統定性分析的思想，提出一種對模糊系統進行定性分析的可行方法，在相平面內較為準確地刻畫模糊系統的動態行為.在模糊控制器的設計中，引入動態調節因子來提高模糊控制的精度，並採用了一種便於實際運算操作的解模糊運算方法.在一種簡單的控制對象情況下進行了具體的模擬計算，得到較理想的控制效果.此外對具有精確數學模型的一級倒立擺系統進行此種模糊控制，亦取得很好的模擬結果
  7. Pass the interlace series type linear differential equation that coefficient contains power function and arrangement number change into the linear differential equation of successive integral, have found out the theory and method that begs this kind of equation to know to untie. theorem have happened have given strict proof, and through example, have introduced it ' s application

    摘要通過把系數含有冪函數與排列數的交錯級數型線性微分方程化為可逐次積分的線性微分方程，找出了求這類方程通解的方法與理論，把所得定理給出了嚴格的證明，並通過實例介紹了它的應用。
  8. Based on vibration principle, the paper establishes dynamics analysis model of output shaft with elastic support, according to fourer series spread principle of periodic function, the dynamic response formula is derived by separating complex vibration force into sum of many simple harmonic excitation function of whole number times frequency relations. the result shows that response of both sides support is synchronous when load distribution non - uniform coefficient is 1

    依據振動理論建立了具有彈性支撐的輸出軸的動力學分析模型，根據周期函數的傅里葉級數展開原理，將復雜的激振力分解成為多個頻率成整倍數關系的簡諧激勵函數，導出了動態響應表達式，結果表明，當載荷分配不均勻系數為1 . 0時的輸出軸兩端支撐同步。
  9. Caculation is carried through adopting mechanism function of the first order reaction, f1 : f ( ) = l -. the results have good linear relativities, a, the precipitated fractions are excellently representative, and f1 is ascertained the most probably mechanism function of " phase precipitation. the electric field reduces activation energies of " phase precipitation and average sizes of " particles both in 2090 and 1420 alloys

    採用一級反應的模型函數f1 ： f （ ） = 1 - ，計算了相析出的動力學，計算結果具有良好的線性相關性，並且具有很好的代表性，確定f1為相析出的最概然機理函數；電場固溶使2090合金和1420合金升溫時效過程的相析出激活能有一定程度的減小，並減小了相顆粒的平均尺寸。
  10. Using the complex potential method in the plane theory of elasticity of an anisotropic body, a series solution to the stress field of a finite plate containing multiple cracks subjected to arbitrary loads is obtained by means of the faber series expansion, and the stress intensity factors at the crack tips are calculated based on the theories of fracture mechanics. equivalence yield stress is introduced in order to consider the effects of the plastic zones, with which the strip yield criteria is developed in the article so that the effects of structural size and the crack interactions on the stress distribution can be considered accurately. the effects of plate size, crack size and crack distributions on the stress intensity factors as well as the residual strength of the plate are studied detailedly

    採用各向異性體平面彈性理論中的復勢方法，以faber級數為工具，得到了含多裂紋有限大板在任意載荷作用下應力場的級數解，並應用斷裂力學方法確定裂紋尖端的應力強度因子；引入當量屈服應力考慮裂尖塑性區的影響，提出基於帶屈服準則的剩餘強度分析模型，能夠充分考慮結構尺寸和裂紋之間相互作用對應力場的影響；通過數值計算詳細討論了結構尺寸和裂紋之間位置關系對應力強度因子和結構剩餘強度的影響規律，得到了一系列對工程應用具有實用價值的結論。
  11. Using the complex potential method in the plane theory of elasticity of an anisotropic body, the series solution of finite anisotropic thin plate containing an elliptical inclusion is proposed with the help of faber series. a hybrid element with an elliptical inclusion for anisotropic materials is obtained by using the hybrid variable principle, and the element efficiency is verified by numerical examples. the state of the damage is modeled by an elliptical soft inclusion, and using the point stress criterion based on characteristic curve and yamada - sun etc. criteria, the prediction of the strength of a composite laminate with damage is set up

    首先基於經典層板理論，將復合材料層板的彈性問題化歸為均勻各向異性板來求解；採用各向異性體平面彈性理論中的復勢方法，以faber級數為工具，給出了有限大含橢圓核各向異性板彈性問題的級數解形式；利用雜交變分原理，成功導出含橢圓核各向異性板雜交應力有限元，並用算例驗證了該單元的可行性和有效性；採用含剛度折減橢圓形彈性核的沖擊損傷模型，引入基於特徵曲線和yamada - sun破壞準則的點應力判據，建立了含損傷復合材料層板剩餘強度的分析方法；通過數值計算詳細討論了各種幾何參數對損傷層板應力分佈、剩餘強度的影響，得到了一系列對工程應用具有實用價值的結論。
  12. The grade composite, road performance and its mechanism are systemically studied. 1 ) the aggregate grade of ogfc is studied through the volume method base on the analysis of the aggregate grades. then the grade is verified and the relation between the grade and pore rate is studied statistically, the typical grades of ogfc are developed ; 2 ) the reasonable pore rate of ogfc is studied on the basis of the balance of mechanics and function performance ; 3 ) the mineral fiber is added to the ogfc mixes to increase asphalt content, thus the anti - water performance of ogfc mixes are improved ; 4 ) high viscous asphalt fit for the preparation of ogfc is prepared through composite modification by sbs and rubber powder ; 5 ) the mechanics mechanism of ogfc is studied in the paper, it shows : asphalt paste, as well as the coarse aggregate skeleton, is essential to the mechanics of ogfc

    在分析各國ogfc級配的基礎上，運用礦料體積法進行ogfc級配設計，用正交實驗對礦料級配進行了優化設計，運用數理統計方法分析礦料級配和孔隙率之間的關系，並回歸出礦料關鍵篩孔通過率與ogfc骨架空隙結構關系的數學方程，進而提出了ogfc的合理級配；通過對不同孔隙率典型級配混合料的性能研究，綜合力學和功能性能，得出了ogfc的合理孔隙率范圍：針對高速公路面層對ogfc力學性能方面的要求，本文從瀝青膠結材料、纖維穩定劑兩方面對ogfc的性能進行改善：通過sbs和橡膠粉復合改性的方法開發出了適合ogfc的高粘度改性瀝青，摻加聚合物纖維，提高ogfc的最佳瀝青用量，進而改善了混合料的高溫性能和抗水損害性能，優化設計出能滿足高速公路路用性能，車轍動穩定度達5000次/ mm以上，動融劈裂強度比90 ，透水系數31ml / s ，並具有防滑降噪功能的開級配瀝青磨耗層（ ogfc ）混合料。
  13. Now, number of our staff is over 300 persons, 12 of which are managers with senior technical titles

    目前職工總人數為300餘名。其中具有高級職稱管理人員12名。
  14. Using the tree data structure to manage the grids, the search and connectivity of data can be realized and quickened. the omni - tree structure is developed, which supports anisotropic grid adaptations in any of the coordinate directions and allows high aspect ratio cells. four separate data entities are defined, including nodes, lines, faces and cells, which is convenient to control information management in grids generation and flow calculation

    利用叉樹數據結構，實現並加速了網格生成中數據的搜索和查找；發展並提出了全叉樹和各向異性，使得網格的自適應加密可以根據需要在多個方向上任意的選擇；構造點、線、面和網格的四級數據管理模式，改善和方便了數據的有效組織和管理。
  15. Random process theory is a kind of effective mathematical tool to handle random vibration problem. through frequency spectra and time domain analysis for random course, the seemed complex vibration time - history can be transferred to trigonometric function series, thus makes it have certain periodic feature

    隨機過程是處理隨機振動問題的一種有效的數學工具，通過對隨機過程進行時域分析和頻譜分析，可以將看似非常復雜和毫無規律的隨機振動表示為三角函數的級數形式，從而使其具備了一定的周期性特徵。
  16. These include detail listing of excel functions in the form of row listing so as to avoid partial display causing negligence on the functions of excel. excerpted listing includes effects of professional management function of high - level financial affairs and investment etc. through individual research on actual samples it describes the acquisition of external data, various categorized statistics and database operation function together with super powerful analytical and simulation tools etc. provided by various types of management simulation decision. it shows many samples that can be applied with erp complementarity

    包括以條列方式詳細列示excel功能，以避免片面展現造成對excel功能的輕忽；摘要列示高級財務及投資等專業管理函數功能，通過個人研究實例說明有關取得外部資料、各類分類統計及數據庫運用功能、以及各種管理模擬決策提供的超強分析及模擬工具等，顯示與erp互補應用之諸多例示。
  17. In first level, the central server can collects data from substation and control all the relevant computers and instruments. the substation computers is the second level, they can communicate with central server through pstn ( public switched telephone network ), they also collect data from instruments of its own and control them

    第一級為調度級，中心站服務器負責匯總和處理所有數據，控制所有站級工控機和現地級儀器；第二級站級工控機，通過公共電信網與中心站進行通信，響應中心站服務器，從各儀器採集數據、控制本站儀器。
  18. Different score - spaces have their own physical meanings inspired by taylor series expansion. experiments reveal that the new spaces are useful for classification. experiments of the classic models compare the performances of different

    並從泰勒級數展開式的角度論述了各類品質向量的物理意義的不同，最後通過實驗驗證了擴展品質空間有利於分類性能的改善。
  19. The first part, the theory and application about wu - ritt differential characteristic sequence method are discussed, which involves the theories of differential equations, abstract algebra and computer algebra etc. we apply wu - ritt differential characteristic sequence method ( abbr. wu - ritt method ) to linear partial differential equations which has physics significance and give the size of solutions and formal taylor solutions

    本文共分兩部分，第一部分討論微分特徵列法的理論和應用問題，涉及到微分方程，抽象代數，計算機代數等重要學科。將吳方法應用到具有物理意義的線性偏微分方程上去，我們給出了型序，驗證了張鴻慶教授八十年代給出的恰當解的概念，刻劃了解的規模並給出了形式冪級數解。
  20. Smpdca architecture has six outstanding excellences : complexity of the control logics of smpdca is lower than large scale superscalar ; supplying shortest inter - processor communication latency using the shared li data cache ; no cost to maintain cache coherence ; hit rate of data cache increase ; easy to reuse many softwares of symmetric multiprocessor ( smp ) ; exploit the parallelism of applications from many levels. this paper present the architecture model of smpdca, and illustrated its function units, and discussed its key techniques, and analyzed the address image policy of multi - ported cache

    Smpdca結構具有六個突出優勢：相對于大規模的超標量結構而言， smpdca結構的控制邏輯復雜性明顯要低得多；相對于通過共享主存來實現處理器之間的通信的結構而言，通過一個共享的第一級數據cache來實現處理器之間的通信的smpdca結構能夠提供非常小的處理器之間的通信延遲；沒有cache一致性維護開銷；數據cache命中率提高；便於smp （對稱多處理器結構）的軟體重用；從多個層次上開發程序的并行性。
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