addition theorem 中文意思是什麼
addition theorem
解釋
加法定理-
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。 -
In order to prove the arbitrary cardinal number alexandroff - urysohn addition theorem put forward in 1923, the famous former soviet union topologist a. arhangel ' skii introduced network which is the important extension of base in 1959
1959年前蘇聯著名拓撲學家a arhangel ' skii為了證明1923年提出的任意基數的alexandroff - urysohn加法定理，引進了基概念的重要推廣? ?網路（ network ） 。 -
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。 -
Since the antiplane scattering problems of local sites could be divided into two kinds : interior and exterior problems, main points to solve the problems are graf ' s addition theorem. so two expressions and suitable range of the graf ' s addition theorem are studied hi the paper. moreover, an auxiliary function method for mixed boundary - value problems are also discussed in this paper
由於典型局部場地彈性波出平面散射問題可以分為內域型和外域型兩大類，求解這些問題的要點是要完成特殊函數在不同坐標系間的變換，因此本文對graf加法公式的兩種表達及其適用范圍做了研究，另外對解決混合邊值問題的輔助函數法做了研究。 -
The importance of the various solutions to one question - supported by the methods of the addition theorem of the cosine law
用餘弦的加法定理不同的證明來說明一題多解的重要性 -
On the basis of high speed hybrid filter banks adc system, a kind of downsampler model based on bandpass sampling theorem is presented, and analyzed, proved in time and frequency domain, in addition a downsampler is designed according to the model. a class of high effective hybrid filter banks adc system which bases on the downsampler and radio frequency spectrum is proposed, of which digital signal rate falls m times as fast as the former
作者提出了一種基於帶通采樣定理的抽取器數學模型，對該數學模型進行了時域、頻域的分析證明后，設計了一種基於該數學模型的抽取器，進而根據無線電射頻信號頻譜的特點，提出了高效混合濾波器組adc系統，其數字信號輸出速率比高速混合濾波器組adc系統降低m - 1倍。 -
The bottleneck of hybrid filter banks adc system is that it cannot sample directly higher radio frequency signal because of lower analog input bandwidth of its adc. in order to remove it, a kind of downsampler model based on nyquist and bandpass sampling theorem is presented, analyzed and proved in time and frequency domain, in addition a downsampler is designed according to the model. on the basis of hybrid filter banks adc system, a class of high speed hybrid filter banks adc system is proposed
針對混合濾波器組adc系統因其adc模擬輸入帶寬低而不能對頻率較高的射頻模擬信號進行模/數轉換的瓶頸，作者提出了一種基於nyquist采樣定理和帶通采樣定理的抽取器數學模型，對該數學模型進行了時域、頻域的分析證明后，設計了一種基於該數學模型的sha抽取器，進而在混合濾波器組adc系統的基礎上，提出了高速混合濾波器組adc系統。 -
An algorithm for detecting moving ir point target in complex background is proposed, which is based on the reverse phase feature of neighborhood ( rpfn ) of target in difference between neighbor frame images that two positions of the target in the difference image are near and the gray values of them are close to in absolute value but with inverse sign. firstly, pairs of points with rpfn are detected in the difference image between neighbor frame images, with which a virtual vector graph is made, and then the moving point target can be detected by the vectors ' sequence cumulated in vector graphs. in addition, a theorem for the convergence of detection of target contrail by this algorithm is given and proved so as to afford a solid guarantee for practical applications of the algorithm proposed in this paper. finally, some simulation results with 1000 frames from 10 typical images in complex background show that moving point targets with snr not lower than 1. 5 can be detected effectively
基於運動點目標在鄰幀差分圖像中所具有的近鄰反相特徵，即運動點目標的兩個位置相鄰近、灰度值一正一負，提出一種在復雜背景下，基於紅外序列圖像的運動點目標檢測演算法.本演算法利用該特徵在鄰幀差分圖像中檢測反相點對，進而構造反相點對矢量圖，最後依據累積反相點對矢量圖中多矢量首位相接的連續性檢測出運動的點目標.文中給出並證明應用本演算法能以概率1檢測到運動點目標的收斂性定理.對典型復雜背景下10幅1000幀圖像的模擬結果表明，當信噪比大於或等於1 . 5時，可以有效檢測出運動點目標 -
Our results show that the rate of correlation among the random variables of those output sequences are low although they are not independent ; in addition, the output sequences of those combined generators are homogeneous markov chains which are strictly stationary processes with ergodicity ; the output sequences of those combined generators are also proved to summit to the strong law of large numbers and the central limit theorem ; finally the computation formula of the rate of the accordance between the output sequences and input sequences of those combined generators is given
我們的研究結論表明：雖然這些序列中隨機變量之間不具有相互獨立性，但它們的相關程度卻比較低；證明了「停走」生成器， km _ 1m _ 2型組合生成器和加法型組合生成器的概率模型輸出序列都是強平穩的和遍歷的齊次馬氏鏈；討論了這些序列的概率極限性質，證明了它們均服從強大數定律和中心極限定理；還分別給出了各類生成器的輸出序列與輸入序列之間的符合率的計算公式。 -
In addition, the existence of quantum non - cloning theorem leads to the birth of quantum cryptograph. in principal, quantum cryptograph can provide perfect secure and unattacked secret communication system, which is guaranteed by the law of quantum mechanics
又如，在量子信息學中因為存在量子不可克隆定理，從而誕生了量子密碼學，它原則上能夠提供不可破譯、不可竊聽的保密通信體系，其安全性由量子力學基本原理所保證。 -
The author mainly realized the method of generating the large random numbers and judging the prime number using lehmann means, then three pairs of secure key with different lengths ( 256 bits, 512 bits, 1024 bits ) was generated to meet the demand of different security grade. in encryption module, modular multiplication arithmetic of large number was realized adopting addition chaining. in decryption module, extended euclid was used to get inverse, and the chinese remainder theorem was used to realize decryption, which increased the speed of decryption greatly
作者主要實現了大隨機數的生成、採用整除小素數和勒曼測試法判定素數，可以生成三種不同長度的密鑰對（ 256位、 512位、 1024位）來滿足不同的加密安全等級的需求；加密模塊中，選用了二進制序列的乘法方法，實現了大數模冪乘運算；解密模塊中，引用了擴展的歐幾里德法求逆元，並採用中國剩餘定理實現解密過程，大大提高了解密速度。 -
Based on the previous work and current research, we have made the following work : ( 1 ) for robustness against jpeg compression, we analyze the invariant properties theorem during jpeg compression which was proposed in previous work, then proposed an improved scheme. based on those work, we design a watermarking algorithm, which has robustness against jpeg compression with common quality factor. in addition, the proposed algorithm can perfectly detect the watermarks without degrading the visual quality of original image
根據不同的應用需求設計相應的水印演算法是魯棒性水印的研究方向，根據這些特點，本文在前人研究的基礎上，完成了以下工作： （ 1 ）本文就抗jpeg壓縮的水印設計進行了研究，通過分析前人提出的jpeg壓縮不變性原理，發現了其在實際應用中會出現的問題，並對之提出了改進的方案，在此基礎上，設計了一種水印演算法，可以對所有常用質量因子的jpeg壓縮都免疫。 -
In addition, we study semilocal convertgent theorem of another deformed chebyshev - halley iteration family - jarratt type iteration family under the condition that the second prechet derivative satisfies p - h61der continuity
第一章cbebyshev一halley族迭代在數域上的變形1一1演算法的提出二十世紀九十年代， j . m . guti析。 -
In chapter 4 windowed function of data signal processing is introduced and applied to addition theorem, which succeeds in solving the difficult problem : it has a bad result when recursive t - matrix is applied to calculate the wave scattering of electrically large objects and multiple objects in the excitation of te wave
在第四章中引入數字信號處理中的窗函數，成功解決了在入射波為te波時，用遞推t矩陣法計算電大尺寸物體或多個散射體時，精度不高的問題。 -
The ratma can calculate the electromagnetic scattering of multiple cylinders, and can be used in remote sensing. in chapter 2 simply derivation of the ratma is given by the addition theorem, and the general t matrix of single cylinder is deduced. the worked out examples show th e effectiveness of the ratma in the analysis of the scattering field of single cylinder or multiple cylinders
由於遞推t矩陣法不僅可以計算多個柱體或不同形狀柱體的散射，而且可計算遙感上三維物體的散射，在第二章中，利用加法定理，簡要地推導了遞推t矩陣法，並用解析法推出了單個圓柱體在各種情況下的t矩陣（此t矩陣對導體和介質圓柱體的散射場計算都適用） ，最後計算了單個導體圓柱和兩個不同大小介質圓柱體的散射場。 -
So it is necessary to seek the semilocal or global convergence theorem whose convergent condition does n ' t depend on the unknown solution. in addition, the calculate efficiency of the iteration is also very important
但是，局部的收斂性定理因其對方程零點的依賴性而具有一定的局限性，尋求不依賴方程零點的半局部或全局的收斂性定理就是十分必要的了。
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