線展開函數 的英文怎麼說
中文拼音 [xiànzhǎnkāihánshǔ]
線展開函數
英文
line spread function-
The thesis focus on the numerical analytical method of curved broadband wire antennas. first, the paper introduced the development of broadband antennas, the common measures to broaden antennas " bandwidth and the study on curved antennas. second, the generalized halen integral equation ( mei ' s equation ) was derived based on the three basic equations of wire antennas by two means and its numerical solution method was discussed
本文就曲線寬頻帶線天線的數值分析方法展開研究,首先介紹了寬頻帶天線的發展,實現天線寬頻帶的常用方法和曲線天線的研究現狀,然後在直線加載天線滿足的方程的基礎上用兩種方法推導了曲線天線滿足的推廣的海倫積分方程( mei 』 s方程) ,討論了不同基函數下方程的數值解法。A novel distribution network optimal control approach for load balancing is presented based on the simplified model of distribution system, in which tie switches are regarded as critical elements. the two feeder lines connected with a tie switch are regarded as a feeder couple. load balancing ratios of feeder couples and total distribution network are defined and be used as indice of network reconfiguration, respectively
提出一種以聯絡開關為核心的用於負荷均衡化的配電網路優化控制方法,將每個聯絡開關對應的兩條饋線看作饋線偶,定義了饋線偶和配電網的負荷均衡率,並以此作為網路優化的評價函數,這樣配電網路重構過程就由若干饋線偶內負荷均衡化過程組成,在此基礎上發展了以負荷均衡化和降低線損為目標的配電網優化方法。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。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。Effective dielectric response of ellipsoid composites in which the dielectric function of the grains have the form of ( the equation is abbreviated ) ) embedded in a host medium is investigated in dilute limit based on perturbative expansion method, and general expressions for the effective linear dielectric function and ( - 1 ) - order nonlinear susceptibility of the two - phase system are derived in this paper
摘要利用微擾展開法討論了任意階弱非線性橢球顆粒復合體系(假定顆粒組分的介電函數隨場變化,表示為(方程式略) )的有效介電響應,導出了稀釋極限下兩組分橢球顆粒體系的有效線性和有效( + 1 )次非線性系數的一般表示式。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。In the first session the fans vibration on - line monitoring system is realized with vc language, also compile auto power spectrum density function, cross power spectrum density function, autocorrelation function and cross correlation function etc spectral analysis function to carry through simple offline fault diagnosis
首先用穩定性強、擴展性好的vc + +語言開發了通風機振動在線監測系統,並編寫了自功率譜密度函數、互功率譜密度函數、自相關函數和互相關函數等頻譜分析函數來進行簡單的離線故障診斷。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。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。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。[ 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。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。In this paper, the wavefunction is expanded in terms of the two - dimensional harmonic oscillator eigenfunction and the mismatch of the effective mass is considered. we calculate the energy of the ground state, the energy of the first excited state and the oscillator strength of the single electron in a square quantum wire with finite barriers
本文選取了以二維諧振子本徵函數為基展開的波函數,並且考慮了有效質量的失配性,計算了有限深方形量子線中單電子的基態能,激發態能和振子強度。Third, on the condition that demand may fluctuate randomly, the paper studies the pricing methods to the information production, emphases studies methods of production determining and pricing upon condition that the demand function of the information production is linearly. considering the monopoly of the information production, this paper studies the problem of third - degree discrimination pricing in the scenario of no capability limit and in the scenario of capability planning respectively. in every scenario, we present decision methods of third - degree discrimination pricing for producing according to order form and for no ordering respectively
三、信息產品的市場需求函數可能發生隨機擾動,本文對在需求函數發生隨機擾動的情形下信息產品廠商如何進行定價進行了研究,並重點研究了信息產品需求函數具有線性結構時產量和價格的決策問題;同時考慮到信息產品的壟斷性,分析了當信息產品壟斷廠商擁有幾個相互隔離的子市場時,如何對其產品進行三度差別定價,具體的研究針對信息產品廠商在「沒有生產容量限制」和「要求生產容量設計」兩種情形下展開,在每一種情形下,又分「按訂單組織生產」和「沒有訂單可以利用」兩種情況分別進行研究,給出了信息產品三度差別定價決策的模型和求解。So a computer - aided alignment method for a series of reference lens is studied in detail in this paper. based on analyzing the optical quality affecting factors and optical design, the folio wings are described in detail in this paper : ( 1 ) how to choose merit function of optical quality in terms of the specific reference lens, and sensitive structure parameters to optical quality would be determined according to their tolerance data ; ( 2 ) discussing the relationship between the aberrations and the misalignment of reference lens ; ( 3 ) building the mathematical model for the misalignment optical system, and then calculating the misalignment value by the alignment software compiled on zemax and matlab platforms ; ( 4 ) experiments are made to examine the computer - aided alignment method. the theoretical and experimental data and plots are given in the paper
本文在分析標準球面透鏡的設計及其光學質量的影響因素基礎上,開展了以下四個方面的研究: ( 1 )根據系列標準球面透鏡的具體結構特點,選擇透鏡的質量評價指標,研究標準球面透鏡的公差分佈,確定敏感結構參數; ( 2 )研究光學質量評價指標與失調量之間的函數關系; ( 3 )建立數學物理模型,根據球面波的實測結果,求解待調系統的失調方位和量值,研究原理上實現計算機輔助裝調的可能性,在zemax和matlab平臺上編寫輔助裝調軟體; ( 4 )建立實驗裝置,實際研究標準球面透鏡的計算機輔助裝調方法,文中給出相應的理論分析及實驗數據和曲線。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。The mathematics - mechanization method is applied the field of differential equations. many algorithm for constructing solitary wave solutions for a class of nonlinear wave equations are given, and implemented in a computer algebraic system, such as the hyperbolic tangent function method and the hyperbolic function method etc. exact solitary wave solutions of a great deal of nonlinear equations are gained
將機械化數學方法應用於偏微分方程領域,建立了構造一類非線性波方程的精確孤立波解的許多演算法,如,雙曲正切函數展開法,雙曲函數方法等,並在計算機數學系統上加以實現,因而推導出了一批非線性波方程的精確孤立波解。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。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。 2That two conditions of the expansion functions should be satisfied was presented by solving the nonlinear vibrating string equation and the combined kdv equation
然後以求解非線性弦振動方程和組合kdv方程為例,指出其中的展開函數應該滿足的兩個條件。分享友人