函數的展開 的英文怎麼說

中文拼音 [hánshǔdezhǎnkāi]
函數的展開 英文
development of a function
  • 函 : 名詞1. [書面語] （匣; 封套） case; envelope 2. （信件） letter 3. （姓氏） a surname
  • 數 : 數副詞（屢次） frequently; repeatedly
  • 的 : 4次方是 The fourth power of 2 is direction
  • 函數 : [數學] function函數計算機 function computer; 函數計算器 function calculator; 函數運算 functional operation
  1. By using the multi - configuration dirac - fock ( mcdf ) method, the effects of relaxation and correlation on the transition energies and probabilities of electric - dipole allowed ( el ) resonance and intercombination transitions for 2p53s3 - 2p6 in neutral neon have been systematically studied firstly. and the results of the transition energies and probabilities ( lifetimes ) in length and velocity gauge have been presented. during the calculation, in order to consider the rearrangement effects of the bound - state density and some important correlations, the asfs of transition initial - and final - states were divided according to their angular - momentum and parity and calculated, and different number of csfs were included in the expansion of asfs

    本文利用多組態dirac - fork （ mcdf ）理論方法，通過對輻射躍遷初、末態電子波函數的獨立計算以及在原子態波函數的展開中考慮不同數量的組態波函數，系統地研究了弛豫和相關效應對中性ne原子2p ~ 53s ~ （ 1 . 3 ） p _ 1 ~ o - 2p ~ 6 ~ 1s _ 0電偶極共振和復合躍遷的能量以及躍遷幾率的影響，給出了長度和速度兩種不同規范下激發態的能量和輻射壽命；以中性ne原子的研究為基礎，進一步研究了類ne等電子系列離子（ z = 11 - 18 ）較低的激發組態2p ~ 53s和基組態2p ~ 6的能級結構以及各能級間的輻射躍遷特性。
  2. The new jacobi elliptic function expansion method by the long - short wave interaction equation

    橢圓函數新的展開法求解
  3. 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。
  4. By use of the relationships between the hermite polynomial and the laguerre polynomial, the eigenequations of one - dimensional harmonic oscillator and hydrogen atom are conversed into the same equations in form. therefore the relationships between energy levels and wave functions of one - dimensional harmonic oscillator and hydrogen atom are found. through the coordinates transform, the relationships between energy levels and wave functions of two - dimensional harmonic oscillator and hydrogen atom are found

    首先綜述了諧振子與氫原子的基本理論的研究現狀，並在此基礎上對諧振子與氫原子的關系展開了研究，通過厄密特方程與拉蓋爾方程的相互轉化，將一維諧振子與一維氫原子的本徵值方程轉化為相同形式的方程，從而比較得出它們能量及波函數間的關系，並通過坐標變換將直角坐標系下二維氫原子的本徵值方程轉化成與曲線坐標系下二維諧振子的本徵值方程相同的形式，從而得出二維氫原子與二維諧振子的能量及波函數的關系。
  5. Controls inline expansion of functions

    該選項控制函數的內聯展開。
  6. Thirdly, the conclusions of the two aspect applications are given as follows : the exploration of the application of the evaporation duct prediction to the flux relationship research and evaporation duct predicting shows that based on this predicting method and with microwave refractometer, as sensor, ( 1 ) the dimensionless gradient function of temperature, humidity and refractivity in the flux relationships can be determined with higher precision, ( 2 ) the limitations of conventional observations on the predicting accuracy for evaporation duct can be avoided and the precise prediction for evaporation duct can be obtained with the accurate measurement of refractivity profile within a few meters. the radar performance under given evaporation

    三、對兩個應用問題的討論表明：基於本文發展的蒸發波導預測理論，使用微波折射率儀為傳感器： （ 1 ）開展通量關系研究時，可以用於邊界層溫度、濕度和折射率無量綱梯度函數的精確測定和得到蒸發波導環境預測所需的偽折射率參數化函數關系； （ 2 ）預測蒸蒸發波導環境特性和傳播特性及其應用研究發波導環境時可以避免使用傳統氣海界面要素測量中存在的局限，並用折射率音d面不太高的精確測量結果精確預測蒸發波導環境。
  7. In the paper, based on the method of low pair replacing with high pair, the problem of cam design was transferred to that of linkage design. by means of rotary unit vectors, the equations of displacement, velocity and acceleration of the replacement mechanisms were developed. and then, the virtual linkage ' s length and direction were deduced

    論文基於高副低代原理，將平面凸輪機構設計與再現函數的平面連桿機構設計統一為同一種方法，運用圓向量函數建立代換機構的位移、速度、加速度矢量方程式，求取虛擬連桿桿長和方向，由此展開凸輪理論廓線、實際廓線、曲率半徑和壓力角的求解，並得出用圓形刀具加工凸輪時刀具中心的軌跡方程。
  8. The term of “ congestion " was firstly used in transport industry, it was considered to be a phenomenon that excessive transport vehicle were input on transport, which causes the blockage and a declining transport capacity ( d. mcfadden, 1978 ). he considered the state of production factor congestion as a border state, which generally represented all phenomenon of a weak disposal capacity formed by improper collocation of production factor. under the assumption of absolutely rational and complete information in classical economics and the principle of manufacturer ’ s maximal profits, the collocation of resources will not achieve " congestion "

    本文首先以生產要素擁擠的概念為研究問題的展開基點，指出生產要素擁擠是一種要素配置的無效狀態，利用等產量線圖、生產要素的可處置性理論與廠商生產理論對傳統經濟區域與很少提及的非經濟區域進行了研究，指出生產要素擁擠體現為等產量線后彎，生產要素擁擠形成的后彎部分的等產量線構成了生產函數的非經濟區。
  9. The mostly conclusion of this part is as follows, on the conditon of travelling wave, the exact solitary wave solutions to some nonlinear wave equations such as sawada - kotera equation, kaup - kupershmidt equation, the fifth order kdv equation, fisher - kolmogorov equation, on the help of the computer algebraic system ( maple ), are explicitly established by making use of the hyperbolic function method. this part is maken up of three sections

    本部分的主要結論如下，利用雙曲函數展開法，在行波條件下，對sawada - kotera方程， kaup - kupershmidt方程，五階kdv方程， fisher - kolmogorov方程，等幾類非線性波動方程求解，將其孤立波表示為雙曲函數的多項式，從而將非線性波方程的求解問題轉化為非線性代數方程組的求解問題，並藉助于計算機代數系統求解非線性代數方程組，最終獲得了這些非線性波動方程的若干精確孤立波解。
  10. 2. in this paper, the continuity of the wavefunction and of its derivative divided by the band - mass can be satisfied and the number of the terms is small when calculating the energies of the single electron in a square quantum wire with finite barriers, then this wavefunction can also be selected as the envelope function in studying the impurity states and the excitons in the square quantum wires with finite barriers

    2 .由於本文所取波函數滿足波函數的連續性條件和粒子流的守恆條件，並且計算有限深方形量子線中單電子的能量時需要展開的項數較少，故此波函數也可選為有限深方形量子線中雜質態、激子等問題的包絡函數。
  11. The first two kinds of wavefunctions are simple formally, but there must be error of the numerical values of some physical magnitudes because there is a trouble with the continuity of the function and of its derivative divided by the band - mass at the boundaries. though the third kind of wavefunction can satisfy the continuity of the function and of its derivative divided by the band - mass, the number of the terms is so large that it is difficult to calculate the physical magnitudes in the single quantum wire

    前兩種波函數形式比較簡單，但由於在邊界處波函數的河北師范大學碩士學位論文連續性條件和粒子流的守恆條件存在問題，這必將對某些物理量的計算產生影響;第三種波函數在邊界處滿足波函數的連續性條件和粒子流的守恆條件，但是對于單量子線需要展開的項數很多，計算量太大。
  12. [ 5 ] expressed the wavefunction in terms of a two - dimensional fourier series. this form can satisfy the continuity of the function and of its derivative divided by the band - mass. but the number of the terms is so large that it is difficult to calculate the physical magnitudes in the single quantum wire

    1996年， s . gangopadhyay等人將波函數用二維傅立葉級數展開，這種取法滿足波函數的連續性條件及粒子流（ 1 / m ~ * ） ' （ x ， y ）的守恆條件，但是當考查單量子線時，需要展開的項數很多，計算量很大。
  13. This paper has studied the wavefunction expanded in terms of the two - dimensional harmonic oscillator eigenfunction through calculating the energy of the ground state, the energy of the first excited state and the oscillator strength in a square wire with finite barriers and studied its application in these fields. the most remarkable advantage of this wavefunction is that it can satisfy the continuity of the function and of its derivative divided by the band - mass and it is convenient to calculate some physical magnitudes because the number of the terms is small

    本文通過計算有限深方形量子線中單電子的基態能、第一激發態能和振子強度研究了以二維諧振子本徵函數為基展開的波函數以及它在這些問題中的應用，此波函數的顯著優點是：在邊界處滿足波函數的連續性條件和粒子流的守恆條件，並且展開項數少，計算方便。
  14. Firstly, the voronovskaja type formula of asymptotic expansion of this kind of operators is given. then the approximation of the bounded variation functions by the kinds of operators is discussed

    第一節給出該運算元的voronovskaja型漸近展開公式；第二節討論該運算元對有界變差函數的逼近。
  15. 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。
  16. With the development of the electrical power enterprise and computer technology, it is important to design a highly efficient ， better maintainable and graphic interface based software package for power system analysis and computing in the paper ， the author put forward a kind of new sensitivity analytical method which take into account load characteristic to fix on the weak bus, and with example to prove the exactness of the algorithm ; developed the visual electrical power system analysis and computing and graphic sporting system, the software package was developed by using the idea of object oriented programming ， the method of class ' s inheritance ， polymorphism and virtual function, and set up equipment - chart element - the interreaction between class this make it easy to expand, maintain and replant

    隨著電力事業和計算機技術的發展，研製高效率、可維護性強、具有良好用戶界面的圖形化計算分析軟體成為電力系統分析計算研究的重要任務之一。本文提出了一種計及負荷特性的靈敏度分析方法來對薄弱母線進行確定，並用算例驗證了演算法的正確性；開發了圖形化的電力系統分析計算軟體和圖形支持系統，該軟體完全採用面向對象的設計方法，充分利用了類的繼承、多態性質和虛函數的方法，建立起設備圖元類之間的相互關系，使軟體具有高度的開放性、可維護性、可移植性。
  17. Lacking of space locality in time domain, fourier analysis can only make certain of the integral singularity of a function or signal. as a result, it is difficult to detect the spatial position and distribution of broken signal by fourier analysis. wavelet analysis has the characteristic of spatial locality, and its wideness in both windows of the time and the frequency can be adjusted, so it can analyze the details of a signal

    經典的fourier變換把信號按三角正、餘弦基展開，將任意函數表示為具有不同頻率的諧波函數的線性迭加，能較好地刻劃信號的頻率特性，但它在時空域上無任何分辨，不能作局部分析，這在理論和應用上都帶來了許多不便。
  18. By making a thorough study of wsgb curves, the author acquires two main results, i. e., the transformation formula from bernstein basis to wsgb basis and the construction of the dual functionals for wsgb basis functions

    作者在這一章里通過對wsgb曲線的深入研究，得到了本文的兩個主要結果： 1利用特殊多項式的分解與展開，推導出從bernstein基函數到wsgb基函數的轉換公式。 2
  19. We have the following results. part i the computations of the bergman kernel functions the bergman kernel function plays an important role in several complex variables. s. bergman introduced the concept of bergman kernel function in 1921 when he studied the orthogonal expansion on d in c and he generalized it to the case in several complex variables in 1933

    Bergman核函數的顯式表達bergman核函數在（單、多）復變函數理論的發展過程中起著十分重要的作用， bergman在1921年研究復平面中區域d上的正交展開，其研究結果導出了一個核函數k _ d （ z ， ） ， （ z ， t ） d d 。
  20. Two sorts of general base function property is analyzed, they are trigonometric function and walsh function. arming at projection compounding model, a learning algorithm base on weight function expanded on certain base function is proposed

    分析了三角函數基及沃爾什函數基兩類常用基函數的性質，並針對投影組合模型給出了基於權函數正交基展開的學習演算法。
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