導出級數 的英文怎麼說

中文拼音 [dǎochūjíshǔ]
導出級數 英文
derived series
  • 導 : 動詞1. （引導） lead; guide 2. （傳導） transmit; conduct 3. （開導） instruct; teach; give guidance to
  • 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
  • 導出 : leading-out; derive; derivation
  • 級數 : [數學] progression; series; number of stages; number of steps; stage number級數變換 transformatio...
  1. So this base isolation technique has profound prospects. unfortunately there exist definite difficulties in the calculation because of the nonlinear of the base friction force. now, both the equivalent damping method and the numerical calculatin of the vibration response of the base - isolated buildings are frequently used in the calculation of the seismic response of the base - isolated building. however both of them have certain drawbacks. in this paper, the response of the building with base - isolation system is derived by the method of fourier expansion for the friction force and the earthquake response. at the same time, the sliding vibration character of inertia of a single mass structure and the sliding vibration response of a muti - mass structure are discussed. the stable condition of the sliding base isolation system of a structure is given. in the end, two circes of base fixation and base sliding are analyzed by adopting ansys

    本文利用對摩擦力和地震響應進行付氏級數展開的方法導出了基底具有摩擦隔震系統的地震反應。同時，文中從研究單質點結構的滑動振動慣性力入手，進而對多質點結構體系滑動振動反應進行探討，分別給出了結構滑動隔震的自身穩定條件。最後，本文利用ansys對基礎固定和基礎滑移隔震兩種工況進行了動力模擬模擬分析，進一步證實了基礎滑移隔規律。
  2. Furthermore, with the fourier series technique, the disturbance is discomposed into predominant mode and high frequency harmonics, and the nonlinear stability of the nonparallel boundary layer is studied

    採用fourier級數的方法把擾動波分解為基本模態和高頻諧波模態，導出非平行非線性拋物化穩定性方程。
  3. The explicit method of calculating surges in throttled, simple and downriver throttled and simple surge tanks has been derived for the first time by use of thaler series expansion from the basic formulation of surge tank. 2

    根據調壓室的基本微分方程，利用泰勒級數展開方法首次推導出了阻抗式、簡單式、尾水阻抗式和簡單式調壓室水位波動的顯式計算公式。
  4. Collisonal quantum interference ( cqi ) was observed in the intramolecular rotational energy transfer in the experiment of the static cell, and the integral interference angles were measured. to observe more precise information, the experiment in the molecular beam should be taken, from which the differential interference angle can be obtained precisely. in this paper, the theoretical model of cqi is described in an atom - diatom system in the condition of the molecular beam, based on the first - born approximation of time dependent perturbation theory, taking into accounts the anisotropic lennard - jones interaction potentials. the method of observing and measuring correctly the differential interference angle is presented. the changing tendencies of the differential interference angle with the impact parameter, velocity, and et al. are discussed

    分子內部轉動傳能的靜態池實驗觀察到了碰撞量子干涉效應（ cqi ） ，並且測得積分干涉角，為了獲得更加精確的分子內部轉動傳能的碰撞量子干涉效應信息，實驗就必須要採用分子束實驗進行.本文理論上採用各項異性相互作用勢，應用含時微擾理論的一級波恩近似，假想在分子束實驗的條件下，建立在原子-雙原子分子體系中碰撞量子干涉的理論模型.理論上推導出微分干涉角具體表達式，通過計算定性地討論了微分干涉角隨著碰撞參數、速率等的變化趨勢，同時初步探討了實驗的正確觀測途徑，得出了採用分子束進行實驗觀測的實驗方法，為進一步進行分子束實驗提供了理論基礎，對實驗的進行起到了一定的借鑒作用
  5. The second, the main work in the paper is discussed. they are include : the theory and character of electromagnetic leaking from a computer ; the theory of accumulation mean filter and pectination filter ; the analysis of synchronous signal precision, at 10 - 12 second level, for stably intercepting ; the technology requirement of receiver and data acquisition board for clearly displaying the images recovered from the intercepted data

    本文從計算機視頻電磁泄漏和數字濾波器兩方面的基本理論出發，詳細論述了計算機視頻信息電磁泄漏的原理及特點，指出視頻泄漏信息的頻譜是以行頻為周期的譜線；分析了重加濾波器和梳狀濾波器的性能；分析了視頻泄漏信息截獲的條件；推導出穩定截獲視頻泄漏信息需要對同步信號的精度控制在皮秒級；論述了清晰再現對接收機和數據採集卡的技術要求。
  6. The series developed below are sensible.

    下面所導出的級數是切合實際的。
  7. 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。
  8. Following is our main work and important conclusions : ( 1 ) the question of energy spectrum hardening. we used the klein - nishina ' s differential scatter formula, meanwhile utilize the thaler progression to spread out, and neglected the high - power, and then we deduced a theoretical formula of correction of energy spectrum hardening

    其主要工作和結論如下： （ 1 ）對x射線能譜硬化問題，把klein - nishina微分散射方程，利用泰勒級數展開，在忽略高次項的情形下，近似地推導出了能譜硬化修正公式。
  9. The main results achieved in this thesis can be summarized as follows : 1. by means of the fourier series expansion, an approximate analytical propagation equation of flattened gaussian beams ( fgbs ) passing through an apertured paraxial abcd optical system is derived, and illustrated with numerical examples, when the transmissivity of the aperture is t ( x ) = cos ( x )

    用傅立葉級數展開法研究了平頂高斯光束通過有光闌限制的近軸abcd光學系統的傳輸特性，導出了光闌透射率為t （ x ） = cos （ x ）時的近似解析傳輸公式，硬邊光闌的情況可作為= 0的特例得到。
  10. 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。
  11. It is derived the hamiltonian for the interaction of a - type three - level atom with a two - mode quantum cavity field from the general interaction hamiltonian between a multi - level atom and a multi - mode radiation field, and reduce it into an effective two - mode raman - coupled mode under large detuning condition. it is proposed a modified effective hamiltonian for the two - mode raman - coupled model. it is found the time - dependent state vectors and present validity conditions for the involved interaction hamiltonians. it is shown that in the study of the two - mode raman - coupled model it is not enough to retain only the usually used effective hamiltonian, one must also take into account the ac stark shift of the atomic levels ( at least one of the levels ). finally, it is studied the atomic dynamics in the interaction of a - type three - level atom with a two - mode quantum cavity field and in the two - mode raman - coupled model. it is found that the number of collapse - revivals, the collapse time and the revival time show new characteristics

    從多能級原子與多模光場的相互作用哈密頓量出發，導出了型三能級原子與雙模光場的相互作用哈密頓量.在大失諧條件下將其化成等效的二能級形式雙模喇曼耦合模型.提出了該模型的一個改進型等效哈密頓量.該哈密頓量由兩部分構成：一部為通常所謂的等效哈密頓量，另一部分描述原子能級的動態斯塔克移動.研究表明，在雙模喇曼耦合模型的研究中，只考慮前者是不夠的，還必須考慮後者.最後，我們研究了該系統中原子的動力學行為，發現崩塌-復甦的數目、崩塌時間和復甦時間均呈現新的特性
  12. 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。
  13. 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。
  14. And through leslie matrix analysis, we deduced, except of the subpopulation at altitude 490m, the subpopulations of lilium tsingtauense will not die out if not been disturbed badly. we estimated the growth ability and resistance ability of both metapopulation and local population by use the method of quamitative analysis for population structura1 dynamics. the growth ability order is population l > population 2 > population 3 > population 5 > population 6 > metapopulation > population 4

    川叩iqu n了e ）復合種群研究摘要從種群年齡結構的穩定、衰退、增長概念出發，以種群結構參數為依據，運用加權法與條件概率乘法法則，定量椎導出衡量種群年齡結構及群落結構的動態指數，該方法克服了過去在植物種群結構動態比較評價中粗放的等級歸類劃分的缺陷，並能解決結構動態定量比較評價問題，因而認為有普遍使用的價值。
  15. Abstract : the vibration solution of a massive spring system is presented, the effective mass of a spring is derived. the approximate period of the vibration is given

    文摘:給出了彈簧質量不可忽略的彈簧振子系統的振動解，導出了彈簧的有效質量的漸近級數表達式，指出振動呈擬周期性
  16. The approaches establish a relationship between monthly precipitation abnormality and monthly circulation, soil moisture and temperature on the shallow and deep layers. the relationship is the precipitation diagnostic equation and its coefficients and dimensions are determined by using the observed data of huai river basin. then we select the main soil moisture and temperature attributing factors by the dimensional analysis to establish a forecasting equation of summer precipitation over huai river basin with the statistic approach

    通過將大氣中的熱量、水汽收支方程與一個簡化的兩層土壤溫度、濕度方程相結合，並依據月尺度大氣環流的演變特徵，推導出月降水距平與500hp月平均高度距平場、土壤深淺兩層溫、濕度的關系；利用臺站觀測資料，使用統計反演方法確定方程中各項的系數和量級，從而找出影響降水的主要土壤溫、濕因子；利用統計方法建立這些因子與淮河流域夏季降水異常之間的簡單線性預報方程，並對1992 - 2000年淮河流域夏季降水趨勢進行回報。
  17. Following from the results of sensitivity analysis of standard eigenvalue problems, the differentiability of semisimple multiple eigenvalues of nonsymmetric generalized eigenvalue problems is proved, and the derivatives of semisimple multiple eigenvalues and the series expansions of the corresponding eigenvectors are obtained

    摘要以標準特徵值問題靈敏度分析的有關結論為基礎，證明了單參數非對稱廣義特徵值問題半單重特徵值的可微性，給出了特徵值導數的表達式和特徵向量的級數展開式。
  18. And beginning with a perturbed nls equation, using a multi - scales perturbation expansion, we get the zero order and the first order equations, discuss the eigenstates of the operator in the equations, induct relevant " derivative states ", form the completeness of the bounded eigenstates of the associated operator in li space, and expand the corresponding parameters in the closure, get a series evolution equations of the coefficients in the expanded formulas, find the first order approximate solution by researching the evolution equations. this paper also gives the basis of this method - the completeness we have formed and the singular perturbation technique

    ） dinser方程的求解問題，討論了自伴運算元的本徵函數的正交性和完備性，介紹了尋求微分方程的近似解常用的攝動方法，並從帶有某種擾動項的nls方程出發，利用多重尺度的攝動方法得到了方程的零級近似方程和一級近似方程，通過對近似方程中運算元的特徵態的討論，引入適當的「導出態」 ，建立了運算元在l _ 2空間的特徵態的完備性。
  19. Finally, the wave equation of the electromagnetic field of this kind damper is derived from the maxwell ' s equation. the magnetic flux density at the boundary is assumed to be harmonic, so the analytical result of the wave equation is solved. when the rotor rotates, eddy currents flowing inside the conducting material field are caused

    最後，應用ahrens的電磁軸承簡化模型，從maxwell方程出發推導了應用於本文所述的被動式電磁阻尼器的波動方程，並用傅立葉級數把矩形磁場展開的諧變磁場作為磁場的邊界條件，通過求解波動方程得到磁場的解析解，從而計算了阻尼器對轉子的電磁力和由渦流引起的切向力產生的阻尼器附加功耗。
  20. In the second chapter we study the properties of the weighted dirichlet - type spaces and composition operators on them. we not only characterize these spaces by taylor series, but also give sufficient and necessary conditions in terms of carleson measure for the boundedness and compactness of composition operator. moreover, we apply the comparability propositions which induced from above sufficient and necessary conditions to discuss the relationships between the compactness of composition operator cv and angular derivative or innerness of the inducing function, and so on

    本文討論了一類函數空間相互的包含關系，而對其中的加權dirichlet型空間，不但給出了空間的相互包含關系，並且對它進行了級數刻畫；利用carleson測度，刻畫了加權dirichlet型空間上復合運算元的有界性及緊性，並利用由此得到的比較性命題討論了復合運算元的緊性與角導數，內函數等的關系。
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