矢函數 的英文怎麼說
中文拼音 [shǐhánshǔ]
矢函數
英文
vector function-
The divergence of a vector function is the scalar function.
矢量函數的散度是一個標量函數。Irrotational and solenoidal split problem on a dyadic green ' s function of the field vector
一類場矢量的並矢格林函數無旋和無散分解問題Firstly, in spherical coordinate system, the sovp formulation for the time - harmonic electromagnetic fields of the current dipole in conductive infinite - space is derived, using reciprocity theorem and transforming relations between special functions. then, selecting appropriate coordinate system, using superposition principle, the boundary - value problem of modified magnetic vector potential on the problem of a time - harmonic current dipole in spherical conductor is solved and analytical solution is obtained. finally, by means of the addition formulas of legendre polynomial and spherical harmonics function of degree n and order 1, the analytical solution in spherical coordinate system specially located is transformed into that in spherical coordinate system arbitrarily located
首先利用特殊函數間的轉化關系和互易定理推導得到了無限大導體空間中球坐標下時諧電流元電磁場的二階矢量位形式：然後利用疊加原理，選擇合適坐標系，求解了導體球中時諧電流元的修正磁矢量位邊值問題，得到了問題的解析解；最後依據不同坐標系下電磁場解的轉化原理，藉助勒讓德多項式和n次1階球諧函數的加法公式，將坐標系特殊安放時的電磁場解析解變換到坐標系一般安放時的解析解，給出了球內電場和球外磁場的並矢格林函數。The addition formula of spherical harmonics function of degree n and order 1 is derived using the relations between coordinate varieties after coordinate rotating and the property of the associated legendre polynomial. the relations among the magnetic vector potential, the modified magnetic vector potential and the second - order vector potential ( sovp ) are shown going forward one by one. it is explained that the solutions of electromagnetic fields in different coordinate systems can be transformed and an example having analytical solution is given
利用坐標旋轉后球坐標變量間的關系和連帶勒讓德多項式的性質推導得到了n次1階球諧函數的加法公式；以遞進的方式說明磁矢量位、修正磁矢量位與二階矢量位的關系，寫出了引入二階矢量位的過程；以時諧場矢量邊值問題為例，闡明了不同坐標系下電磁場解的相互轉化原理，給出了一個解析解的轉化例子；在球坐標下，引入了較球矢量波函數更普遍的兩類矢量函數，給出了其在球面上的正交關系。In the process of solving, poles are obtained from recurrent formula, modal vector are obtained from superposition formula not residuary. decoupled equation is derived when vibration source is part correlation, severely coupling appears in the process of input and output then frequency response function cannot directly get according to method mentioned above, decoupling is first problem
當輸入完全相關時，頻響函數無解，可繞過頻響函數，直接運用線性系統的迭加原理來求響應，極點由遞歸公式得出，模態矢量由疊加公式求出，而不是由留數求得的相應的公式。According to the theory of light transmission, we derived the expression of rotation angle as a function of the dielectric constant conductivity of er fluid, and ( the angle between the electric vector of linearly polarized light and electric field ) from maxwell ' s equations and fresnel reflection, on the condition of several appropriate approximations and assumptions
進而導出了非均相結構電流變液在外電場與光場交互作用下旋光角與（入射線偏振光振動方向與外加電場方向間夾角）及參數（為外加電場e 、分散顆粒介電常數、體積分數、絕緣油介電常數、位置矢量（ ? ）等量的函數）的西北工業大學應用物理系碩士學位論文摘要理論表達式。This algorithm easily escapes from local optimal solution, have high searching efficiency, simple structure, convenient use. aiming at iteration, optimization and matlab optimization toolbox having low precision and difficulty to choose initial vector on acquiring nonlinear equations ’ solutions, equations ’ solution problem is translated into genetic algorithm optimization problem. nonlinear equations ’ usual genetic
針對迭代法、最優法、 matlab最優化工具箱求解非線性方程組中存在求解精度不高及初始矢量難選等問題，將方程組求解問題轉化為遺傳演算法函數優化問題，建立了非線性方程組通用的遺傳演算法解法，並將其用於汽車滑行試驗數據處理中。When the accelerating time of frequency is equal to zero, this paper discusses the gain of inventer - induction motor under the vector controlled and non - vect or c ontrolled. at the same time, this paper discusses it while the time of slope is no t zero. the m othod of the slippery and difference is introduced in this papaer for designing the system contained inv - m
討論了頻率加速時間為零時，矢量控制和非矢量控制兩種情況的通用變頻器異步電動機的傳遞函數，同時也討論了斜坡給定時間不為零的通用變頻器異步電動機傳遞函數，介紹了滑差限定的方法，為設計含有inv - m的系統提高提供了理論依據Abstract : when the accelerating time of frequency is equal to zero, this paper discusses the gain of inventer - induction motor under the vector controlled and non - vect or c ontrolled. at the same time, this paper discusses it while the time of slope is no t zero. the m othod of the slippery and difference is introduced in this papaer for designing the system contained inv - m
文摘:討論了頻率加速時間為零時，矢量控制和非矢量控制兩種情況的通用變頻器異步電動機的傳遞函數，同時也討論了斜坡給定時間不為零的通用變頻器異步電動機傳遞函數，介紹了滑差限定的方法，為設計含有inv - m的系統提高提供了理論依據Based on the propagation law of the cross - spectral density function in the space - frequency domain, the properties of polychromatic vector gsm beams through a paraxial optical abcd system are studied. the analytical propagation expressions for the cross - spectral density matrix of vector gsm beams passing through a paraxial optical abcd system are derived, which permits us to study the propagation properties of vector gsm beams, including the propagation - induced polarization changes, effect of the spectrum bandwidth and irradiance distributions in a unique way. there are some applications of the theoretical results
基於空間一頻率域中交叉譜密度函數的傳輸理論，研究了多色矢量gsm光束通過abcd光學系統傳輸時偏振特性的變化規律，首次推出了矢量高斯一謝爾模刑fgsm ）光束通過近軸abcd光學系統交叉譜密度矩陣的傳輸公式，並對矢量gsm光束傳輸中偏振的變化、譜寬的影響和強度的分佈等進行了統一研究。Based on the extended boundary condition method and addition theorem of vector spherical functions, this paper study the light scattering problems of aggregate spheres from the angles of a single sphere, two - sphere system and multi - spheres system
本文基於擴展邊界條件法及矢量球諧函數的加法定理，通過嚴格求解maxwell方程所得到的散射傳輸矩陣，對與入射波波長可比擬的群聚球形粒子的散射問題進行了研究。During the calculation of crystallography, we always need to make some calculation such as vector length, angle between vectors or planes etc. this is a group of scilab functions which can make some common calculation
晶體學計算過程中經常需要計算矢量長度、矢量夾角等。此scilab工具箱提供了一組適用於任何晶體結構的函數，可以在輸入晶格常數的前提下，計算一些常用的晶體學數據。Using the vector potential, the expression for calculating inductance of air - cored solenoid coil is derived in the dissertation. and the calculating methods of function t in the calculating expression are given for the convenience of the calculation of inductance while the precision is not strictly requested
利用矢量磁位a直接推導出了通電空心圓柱線圈電感的計算表達式，給出了求解計算式中函數t的計算方法，以方便精度要求不高時的電感計算。It is hard to draw in two dimensions a picture of a vector function in three-dimensional space.
在兩維圖上畫三維空間的矢函數圖形是件難事。Meanwhile, advantages of the least calculation workload, the simple process, and the convenient for implementation are brought while switch states are described as space vectors in the - coordination system
利用-平面內的空間矢量描述開關組合狀態，使得誤差函數的計算工作量小、過程簡單，易於實現。Expanding the system ' s hamiltonian to a real symmetric matrix in an appropriate orthogonal basis vector and then diagonalizing it, we get the energy spectrum of the system and calculate the energy level spacing distribution function and the spectral rigidity. then we study the statistical character of the energy spectrum under the changing of magnetic field intension and find that the system ' s motion transfers from regular to chaos gradually
將系統的哈密頓量在一個適當的正交基矢下展開並對角化，得到系統的能譜，分別計算系統能譜的能級間距分佈函數和譜剛度，研究了該系統量子能譜的統計特徵隨磁感應強度大小的改變而表現出的系統運動由規則到混沌的漸進變化。Conditions of normal mode realization are deduced and optimized model with the multivariate mode indicator function as the target function is built. through solving the maximal eigenvalue problem, the original shaker force vector of appropriation is reached. then the realization approach of the optimal shaker force vector based on single shape principle is proposed and at the same time the automatization of normal mode appropriation is realized
對于模態物理分離技術的多點正弦激振純模態試驗技術，尋求其最佳激振力矢量是最為關鍵的環節，本文先推導出純模態實現的條件，建立以多變量模態指示函數為目標函數的優化模型，通過求解最大特徵值問題，得出適調純模態的初始激振力矢量，再提出以單純形原理為基礎的最佳激振力矢量的實現方法，同時也實現了純模態適調過程的自動化。Another algorithm is based on pixels : sample many points along the curve, round them to the nearest integer and set each pixel the computed point falls in. although this algorithm uses integer arithmetic, it provides the smooth curve possible at the expense of computation time as many points have to be computed to ensure that no gaps are created along the curve. furthermore these two algorithms we mentioned above is appropriate for low degree parametric curves, for high degree parametric curves, we usually approach them by using low degree rational parametric curves, the generating curve ' s fairness property is not very good
我們知道當節點矢量的兩端節點均為k重節點且無內節點時， b樣條基函數退化為bemstein多項式，因此該生成演算法還可推廣到b能ier曲線中，具有廣泛的應用價值、同樣地，在cad和cagd中，有理b樣條曲線，特別是非均勻有理b樣條曲線（ nurbs ）已經成為曲線曲面設計中最廣為流行的技術，然而對這些曲線目前也尚無很好的曲線生成演算法，因此有理b樣條曲線的生成演算法無疑有著更重要的意義The electric dyadic green ' s function inside the sphere and the magnetic dyad outside the sphere are given. in addition, spherically multilayered conductor is discussed and the dyadic green ' s functions are given for a two - layer conductive sphere
進一步討論了同心分層導體球情況，並給出了電流元位於兩層同心導體球的里層時球內電場和球外磁場的並矢格林函數。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。分享友人