函數的變化量 的英文怎麼說
中文拼音 [hánshǔdebiànhuàliáng]
函數的變化量
英文
variation of function-
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。According to the least twin multiplication to calculating the sensitivity index in several water production functions. thus, the writer obtains the fitted the value of the sensitivity index and the varied rule. at the same time, the writer puts forward a new method named rag a ( real coding based accelerating genetic algorithm ) and combines raga with dpsa to calculating the best irrigation system under the non - sufficient irrigation of well irrigation rice in sanjiang plain
根據《隨機水文學》理論中的時間序列分析法,建立了適合三江平原井灌水稻需水量預報的非平穩時序隨機模型;通過分析降雨隨機特性,選定季節性時序隨機模型,建立了適合三江平原井灌水稻降雨預報的月平均降雨模型;根據最小二乘法,計算出幾種常用水分生產函數中的敏感指數及敏感系數,進而得到三江平原適宜採用的水分生產函數漠型及模型中敏感指數的變化規律;本文提出遺傳動態規劃法( raga ? dp ) ,即採用改進的基於實數編碼的加速遺傳演算法( realcodingbasedacceleratinggeneticalgorithm ,簡稱raga )與動態規劃法( dpsa )相結合,推求非充分灌溉條件下三江平原井灌水稻的最優灌溉制度。Taking the contact stress, bend stress stiffness and temperature stress as the condition, taking the weight of the kiln tyre as optimization aim function, the redia and the width of the tyre are optimized general optimize methods just consider the affecting of the parameters to aim function, but in fact, structural parameters ( such as structure dimension, interval and so on ), physics and dynamics ( damp factor, conduct factor, friction factor material ' s elastic module strength limits and so on ), which would be changed after used. the difference are called discrepancy robust design ' s basic concept is : all design parameters " discrepancy will affect the aim funct ion and arouse the quality target discrepancy
一般的優化方法,僅僅考慮了參數對其目標函數的影響,而實際情況下有些參數是變化的,產品的結構參數(如幾何尺寸、間隙等) 、物理和力學參數如阻尼系數、傳導系數、磨擦系數、材料的彈性模量和強度極限等的設計值與製造后和使用中的實際值會有差異,這種差異稱為設計變量和噪聲因素的變差。Using the rock resistivity meter with simulating in - situ conditions, the relations between rock resistivity and temperature were observed from 6 sandstone samples with different porosity and permeability, while samples were brine water - saturated and subjected to certain confining pressure. it is found that the resistivities of water - saturated rock samples decrease in the form of power expression with the temperature increase. although the resistivity of brine water decreases with temperature in the same rule, it can not entirely account for the decreasing of rock resistivity. the cementation factor
利用模擬地層條件巖芯電阻率測量儀,對6塊孔隙度滲透率各不相同的砂巖巖芯,在一定圍壓條件下,巖芯完全飽和鹽水時,考察了巖芯電阻率隨溫度的變化。發現飽和鹽水巖芯的電阻率隨溫度升高,以冪函數形式下降。雖然巖芯中飽和鹽水的電阻率同樣隨溫度以冪函數形式下降,但巖芯電阻率的下降不能完全用巖芯飽和鹽水的下降表徵。The paper adopts weighing to measure the change of crystal diameter. in growing, the crystal is weighed in an interval t, by right of the relation between diameter and weight, diameter error is figured out
對晶體直徑變化的監測,本文採用上稱重的方法,在晶體生長時,以一定的時間間隔t ,稱取晶體的重量,利用晶體直徑與重量之間的函數關系,計算出直徑的變化量。Compared with the classical bp algorithm, robust adaptive bp algorithm possesses some advantages as following : ( 1 ) increasing the accuracy of the network training by means of using both the relative and absolute residual to adjust the weight values ; ( 2 ) improve the robustness and the network convergence rate through combining with the robust statistic technique by way of judging the values of the samples " relative residual to establish the energy function so that can suppress the effect on network training because of the samples with high noise disturbances ; ( 3 ) prevent entrapping into the local minima area and obtain the global optimal result owing to setting the learning rate to be the function of the errors and the error gradients when network is trained. the learning rate of the weights update change with the error values of the network adaptively so that can easily get rid of the disadvantage of the classical bp algorithm that is liable to entrap into the local minima areas
與基本bp演算法相比,本文提出的魯棒自適應bp演算法具有以下優點: ( 1 )與魯棒統計技術相結合,通過訓練樣本相對偏差的大小,確定不同訓練樣本對能量函數的貢獻,來抑制含高噪聲干擾樣本對網路訓練的不良影響,從而增強訓練的魯棒性,提高網路訓練的收斂速度; ( 2 )採用相對偏差和絕對偏差兩種偏差形式對權值進行調整,提高了網路的訓練精度; ( 3 )在採用梯度下降演算法對權值進行調整的基礎上,通過將學習速率設為訓練誤差及誤差梯度的特殊函數,使學習速率依賴于網路訓練時誤差瞬時的變化而自適應的改變,從而可以克服基本bp演算法容易陷入局部極小區域的弊端,使訓練過程能夠很快的「跳出」局部極小區域而達到全局最優。The chosen controlled parameter must be single function of extraventricular temperature because extraventricular temperature affect immediately radiator ' s emitting heat, heat net supplying heat and user ' s heat load. but the sometime chosen controlled parameters all are ' t extraventricular temperature ' s single function
室外溫度的變化直接影響用戶熱負荷、散熱器散熱量、熱網供熱量的大小,所以選擇的被控參數應與室外溫度有單值函數關系,而以往所選的被控參數與室外溫度之間都不是單值函數關系。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。The main contributions of the second part of this dissertation are focused on the cryptographic properties of logical functions over finite field, with the help of the properties of trace functions, and that of p - polynomials, as well as the permutation theory over finite field : the new definition of chrestenson linear spectrum is given and the relation between the new chrestenson linear spectrum and the chrestenson cyclic spectrum is presented, followed by the inverse formula of logical function over finite field ; the distribution for linear structures of the logical functions over finite field is discussed and the complete construction of logical functions taking on all vectors as linear structures is suggested, which leads to the conception of the extended affine functions over finite field, whose cryptographic properties is similar to that of the affine functions over field gf ( 2 ) and prime field fp ; the relationship between the degeneration of logical functions and the linear structures, the degeneration of logical functions and the support of chrestenson spectrum, as well as the relation between the nonlinearity and the linear structures are discussed ; using the relation of the logical functions over finite field and the vector logical functions over its prime field, we reveal the relationship between the perfect nonlinear functions over finite field and the vector generalized bent functions over its prime field ; the existence or not of the perfect nonlinear functions with any variables over any finite fields is offered, and some methods are proposed to construct the perfect nonlinear functions by using the balanced p - polynomials over finite field
重新定義了有限域上邏輯函數的chrestenson線性譜,考察了新定義的chrestenson線性譜和原來的chrestenson循環譜的關系,並利用一組對偶基給出了有限域上邏輯函數的反演公式;給出了有限域上隨機變量聯合分佈的分解式,並利用隨機變量聯合分佈的分解式對有限域上邏輯函數的密碼性質進行了研究;給出了有限域上邏輯函數與相應素域上向量邏輯函數的關系,探討了它們之間密碼性質的聯系,如平衡性,相關免疫性,擴散性,線性結構以及非線性度等;討論了有限域上邏輯函數各類線性結構之間的關系,並給出了任意點都是線性結構的邏輯函數的全部構造,由此引出了有限域上的「泛仿射函數」的概念;考察了有限域上邏輯函數的退化性與線性結構的關系、退化性與chrestenson譜支集的關系;給出了有限域邏輯函數非線性度的定義,利用有限域上邏輯函數的非線性度與相應素域上向量邏輯函數非線性度的關系,考察了有限域上邏輯函數的非線性度與線性結構的關系;利用有限域上邏輯函數與相信息工程大學博士學位論文應素域上向量邏輯函數的關系,揭示了有限域上的廣義bent函數與相應素域上的廣義bent函數的關系,以及有限域上的完全非線性函數與相應素域上向量廣義bent函數之間的關系;給出了任意有限域上任意。The users can define design variables and attain the optimization of objective function under the constraints condition by the alternative function of computer interface
用戶可以通過人機界面的交互功能確定設計變量,實現約束條件下目標函數的優化。" multi - complex " method was selected as the implementation of multi - goal optimization, and was used in optimization of the process based on the model gained, searching for the optimal input parameters
本文使用鍋爐運行數據建立過程模型。通過改進的復合形優化演算法,尋找最優輸入變量組合,實現多目標函數的優化。Though studying some formulas in theory of probability, we give the formula conditional probability in complete event set and a simplified formula for density ' s function in two random variables, they offer new methods in calculation
摘要通過對概率論中有關公式的研究,給出了全條件概率公式和二維隨機變量函數的密度函數的簡化計算公式,為其計算提供了新的方法。The writer gives out a way, in which we take the magnitude of the independence between signals as parameters of some special kinds of functions, to measure the independence of signals from function optimization, and the values of these functions reflect the magnitude of the independence
本文從函數優化的角度出發,視統計獨立性強弱為函數的「變量大小」 ,構造一些特殊的函數,通過其函數值來反映獨立性的強弱,其實用性有待檢驗。For multi - output boolean functions, we give out the definition of correlation permissibility. by investigating some properties of the balanced multi - output boolean functions, a feasible strategy of evolvement of function is presented. based on the method of simulated annealing and using the strategy presented in the 3rd section of capter four, a method is described to tell us how we can get some multi - output boolean functions with low correlation permissibility and high nonlinearity
對于多輸出布爾函數,本文提出了相關容許度的概念,針對平衡的多輸出布爾函數,研究了這類函數的分量函數之間的關系和性質,在不改變部分分量函數的情況下,分析了相鄰函數演化的可行性和演化策略,基於simulatedannealing演算法,本文分別提出了具有高非線性度的一階相關免疫平衡函數的優化設計演算法,以及具有高非線性度和低相關容許度的布爾函數或多輸出布爾函數的優化設計演算法。Experimental result shows that the non - uniform flux of open channel is single - valued corresponding to the opening angle of the plate and water depth in front of the plate, and satisfies the dualistic function
通過試驗可知:細長板開啟角度、明渠非均勻流流量與板前水深三者單值對應,並滿足二元函數的變化關系。Here the theoretical model of vav system is set up for the first time. besides, the transfer function matrix of the 5 inputs and the 5 outputs is established by combining the theoretical analysis with the data analysis of experiment. then the non - linear mathematical model of the five loops is delt with in two method : in the first method, taylor progression is applied near the working point of the system in order to make the volume of change between the output and the input become similar to a linear relationship. in the second mothed, the non - linear mathematical model realize linear by means of being devided into sections. the study shows that both the motheds are effective in dealing with the non - linear issue in vav system
本文首次建立了變風量空調系統的機理模型,並通過採用機理分析和實驗數據分析相結合的方法,建立了所研究的五輸入、五輸出的變風量空調系統的傳遞函數矩陣,並對這五個控制迴路的被控對象的非線性數學模型,採用兩種方法加以處理:第一種方法是在系統的工作點附近進行泰勒級數展開,使輸出的變化量與輸入的變化量之間呈現近似的線性關系;第二種方法是將非線性的數學模型進行分段線性化,即用分段線性化來逼近非線性化的模型。To explain the changing quantity of the population density, this paper using a quadratic function, to constitute a metropolitan spatial structure varying model, and find that income variable is a exlpanatory variable for metropolitan spatial structure change, and economic industry spatial changing quantity has no relationship with population density spatial distribution changing on metropolitan areas, and the policy implications of the explanations should be briefly discussed
在人口密度空間結構變化量上,本文利用二次方函數建立都會區空間結構變化模式,並透過影響都會區空間結構的解釋變數,發現所得因素是解釋都會區空間結構變化的一個變數,經濟產業活動在空間上的變化量和人口在空間變化量無關,該測試結果並形成未來都會區發展政策上應注意的課題。In this thesis, firstly, we introduce generalized gaussian distributions to model the distributions of dct coefficients of an el frame. then, according to quantization theory, we analyze the distortion - rate function of the generalized gaussian model, with which we conclude that for the actual fgs coding, the derivative of actual distortion - rate function usually decreases continuously as the rate increases, and then begins to increase slowly at a comparatively high bit rate. finally, guided by the
然後分析了fgs編碼的量化模式,並把它應用到ggd分佈上,得到了ggd分佈率失真函數的變化規律,從而獲得實際fgs編碼的率失真函數的變化規律,即fgs編碼失真速率函數的導數先隨著碼率的增加而逐漸減小,然後在碼率比較高的時候開始隨碼率的增加而緩慢地增加。The software of ansys is used to optimize the structure of propeller based on parameterization and the function of optimal thickness of blade is got
並使用有限元分析軟體ansys應用變量化方法對槳葉進行結構優化,得到葉厚分佈形函數的優化規律。分享友人