級數展開式 的英文怎麼說

中文拼音 [jíshǔzhǎnkāishì]
級數展開式 英文
series expansion
  • 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
  • 式 : 名詞1 （樣式） type; style 2 （格式） pattern; form 3 （儀式; 典禮） ceremony; ritual 4 （自然科...
  • 級數 : [數學] progression; series; number of stages; number of steps; stage number級數變換 transformatio...
  1. 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。
  2. 4 the average power of a non sinusoidal periodic current is equal to the sum of powers of all its fourier series components

    非正弦周期電流電路的平均功率等於其傅里葉級數展開式所有分量的功率之和。
  3. The 9th power of the 9th power of 9, that, the result having been obtained, 33 closely printed volumes of 1000 pages each of innumerable quires and reams of india paper would have to be requisitioned in order to contain the complete tale of its printed integers of units, tens, hundreds, thousands, tens of thousands, hundreds of thousands, millions, tens of millions, hundreds of millions, billions, the nucleus of the nebula of every digit of every series containing succinctly the potentiality of being raised to the utmost kinetic elaboration of any power of any of its powers

    所得數字要用細字密密匝匝地印刷成三十三卷，每卷一千頁。為了統統印刷完畢，就需要購入無數刀無數令印度紙，整數值的位數便是一十百千萬十萬百萬千萬億十億，一切級數的一切數字作為星雲的核心，以簡明的形式所包含的累乘的可能性推到了極限地能動地開展的一切乘方的一切冪級數。
  4. The simulation and experiments indicate that these two methods are simple, fast and accurate. a new optimal design of interleaves based on cascaded mach - zehnder interferometers is also presented. as compared with the two existing methods ( digital signal processing methods and fourier filters ), the present method is simple and intuitive

    本論文分析了mach - zehnder干涉儀級聯形式之間的關系，提出了通帶平坦化分叉復用器的新型設計方法，與現有兩種方法（應用數字濾波器設計方法以及傅立葉展開法）相比較，本文提出的設計方法直觀、簡單。
  5. Series expansion for the koch curve

    曲線的級數展開式
  6. The paper indicates that, on the premise of the reform of property rights, the choice of modes of establishing a healthy credit system in china should follow the way of marketing. therefore a lot of work remains to be done such as opening credit inquiry data, founding the data base, establishing a scientific credit rating system, forming a credit punitive mechanism, etc. the bank should also play its role in the establishment by perfecting the existing credit management system, forming an effective credit risk precaution mechanism, and carrying out the work of interior credit rating

    關於我國信用制度的具體建設，研究表明：在產權改革的前提下，我國信用制度建設的模式選擇應走市場化的道路，必須做好開放徵信數據、建立數據庫、制定科學的評級指標體系、建立失信懲罰機制等多方面工作，並且要完善銀行現有的信貸管理體制，建立有效的銀行信用風險防範機制，開展銀行內部資信評級工作，發揮銀行的作用。
  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. 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。
  11. In this paper, we expand eigenvalue of poisson equation using bilinear element, by the formulation of the error expanition, we can conclude that it is a upper bound. and by two numerical example, we computer the approximate eigenvalue of poisson equation in square and l - shape domains, then we analyses the approximate eigenvalue. we also extraplate the error expansion and enhance the accuracy of the eigenvalue form the second order to the forth order

    本論文對poisson方程的特徵值採用雙線性元進行展開，得到了誤差展開式，通過誤差展開式，我們能得到特徵值是上界。通過數值算例，計算方形與l形區域上的poisson方程的近似特徵值，並對數據進行分析，驗證了理論的正確性，然後通過對誤差展開式外推，收斂級數可以從二階提高到四階，得到了高精度的解。
  12. The volterra series expansion has altitudinal nonlinearly, most nonlinear system can be expressed by the volterra series expansion

    而volterra級數展開式具有高度非線性，大量的非線性系統可以由volterra級數表徵。
  13. 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。
  14. 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。
  15. 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。
  16. Secondly, the electromagnetic fields between the inner and outer boundaries are expressed in terms of infinite series with spherical vector wave functions using the relations between the spheroidal vector wave functions and spherical ones

    然後根據橢球矢量波函數與球矢量波函數的關系，把兩層橢球之間的電磁場表示為球矢量波函數的級數形式，由球矢量波函數的正交性，進一步建立各展開系數之間的關系。
  17. To solve the dual integral equations, the jumps of the displacements across the crack surfaces are expanded in a series of jacobi polynomials

    為了求解對偶積分方程，將裂紋面上的位移差函數展開為雅可畢多項式的級數形式。
  18. To begin with, the influence that plane scanning error has on the far field is analyzed and the upper boundary of the error is formulated. and then this paper uses the taylor series expansion to correct the probe positioning error in antenna near - field measurement

    根據平面波譜理論，推導了平面掃描位置誤差對遠場的影響，給出了位置誤差上界的數學表達式，並用泰勒級數展開法對其進行了修正。
  19. In past, the processing mode as to the electro - hydraulic servo - system nonlinear problem is that using the tai ' s lux formula obtains the part linear pattern behind the series expansion at the stable state work - point. this kind of linear model is feasible to this system the frequency is low as well as the system work - point frequently isn ’ t changing in great scope

    過去對于非線性問題的處理方式是在穩態工作點處進行泰勒級數展開后得到局部線性化模型，這種線性化模型對於一些頻寬不太高、系統的工作點變化范圍不太大的系統是可行的。
  20. Nowadays, the pcc pile have been widely used for soft ground improvement and application of foundation engineering. the behavior of pcc pile, that subjected to lateral load has been studied in this paper. the behavior of the pcc pile has involved moment and horizontal displacement and load of pcc pile. they are studied by in the physical model experimen, field test finite element numerical analysis, and exponential progression solution. in additional, the comparatively computal analysis are carried out among pcc pile, cast - in - situ concrete circular pile, prefabricate concrete square pile, and obtain some signification conclusion

    本文主要圍繞現澆混凝土薄壁管樁（以下簡稱pcc樁）這一新型的樁基結構型式的水平承載性狀展開研究，通過室內模型試驗、現場試驗、有限元數值模擬分析試驗及彈性冪級數解析法分析等手段，對pcc樁水平承載的樁身受力性狀，樁身撓曲位移，樁身彎距分佈，樁與樁周土相互作用的地基反力等幾方面進行了初步的探討和研究，最後將pcc樁與目前工程中的兩種常用於承受水平荷載的樁型進行對比計算分析，得到有意義的結論。
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