求極小值 的英文怎麼說
中文拼音 [qiújíxiǎozhí]
求極小值
英文
minimization-
The first one : fitting together ultimate values of every dimensions in one dimension - chain one by one, educing many equations by itself, calculating results, and comparing these results of close dimension to find maximal and minimal values. the second one : projecting all dimensions on two preestablished axis, then providing the solutions to analyze whether every projected dimensions is increscent or decreasing, and synthesize the effect of every projected dimensions to close dimension, educing many equations by itself, at last calculating the result of close dimension. the third one : according to monte carlo analysis, getting every dimensions " values from every dimensions " tolerances at random time after time, simulating the actual circumstances of mass production using these dimensions, and calculating reasonable results of close dimension economically
鑒于這類系統在各大中小型企業的廣泛應用與相對滯后的研究水平，本文提出了三種新的能切實地解決目前尺寸鏈計算機輔助分析解算中存在的各種難題的設計方案，第一種方案將尺寸鏈中各組成環能取的極值組合起來，自動列方程組，求解每個組合情況下的封閉環尺寸，最後比較這些結果，得出封閉環的最大最小值；第二種方案將尺寸鏈各組成環向預先設定好的兩個方向投影，之後再分析各尺寸環投影分量的增減性，並且提供了組成環兩個方向上的投影分量增減性不一的復雜情況下的解決辦法，綜合組成環各投影分量的增減性，然後自動列出方程組，最後根據各組成環的投影分量以及所列的方程組來確定尺寸鏈封閉環的尺寸；第三種方案以蒙特卡洛法為原理，在尺寸鏈各組成環的取值范圍內使用計算機產生大量隨機數，模擬實際大批量生產中的零件尺寸分佈情況，以更經濟更合理的方式分析、計算封閉環尺寸。Also, the author ’ s design strategy and creativity has been given in this paper. specifically, it includes : based on the feasibility analysis of the fit selection of control parameters in the aeration process, the aeration process of wastewater treatment of the joint - constructional complete - mixed activated sludge process has been aimed at in this paper. then, the state equations of the aeration process have been proposed in this paper, which is on the base of dissolved oxygen concentration ( do ) and discharge quantity of sludge ( qw ) as control variables, the concentration of bod and sludge as state variables. based on the present study on optimization control of wastewater treatment, the multivariable optimal control model with restriction factor has been presented in the paper with introducing modern control theory and system analysis into the field of activated sludge wastewater treatment,
具體包括:以完全混合、表面曝氣合建式活性污泥工藝的污水處理曝氣過程為研究對象，在闡述了曝氣過程式控制制參數選取可行性的基礎上，建立了以溶解氧濃度do和活性污泥排放量qw為控制變量，以曝氣池中有機物濃度s和微生物濃度x為狀態變量的活性污泥曝氣過程的基本狀態方程;運用現代控制理論的觀點和污水處理理論，在現有關于污水處理最優控制問題研究的基礎上，建立了有約束條件多變量能耗最小數學模型，該數學模型是以有機物排放總量和狀態變量的末值條件作為約束條件，曝氣過程的能耗最小作為目標泛函;採用增廣拉格朗日乘子法對最優控制問題進行轉化，並對應用極大值原理求解能耗最小這一最優控制問題進行了詳細的解析;引入約束運算元，應用具有控制約束的共軛梯度演算法對能耗最小這一最優控制問題進行求解，並進行模擬實驗驗證。3 g 一 g g abasi 叱 加 ical pp 訕 howthe qquasi ghgsical 毗 quasi sociological methodmo 止 secondlx we uthuther nalsze the nhrsical model on which he quasi pnsical and quasi sociological methods for solving s 肛 problembased considering a physical hypothesis on this model ， we construct a counterexaxnple to showthatthe hypothesis is not eee ? howeve 二 itdoes notdamage the goodpractical effectof applpinp this phpsical model to solve s 盯 problem considering he existence of alsorithlnic region ， which reflects that the quasi sociological method is very necessw for ass 吶 ng the high efficient of theent whole algori 燦 m therefore deepens our comprehension on the quasi physical and quasi sociological methods mird1x we wpl … 叫 nas 恤 ysi 陰 1md q 阻 si 500i 吶 i0alm 毗 cd 引 0 咖 we mathematical problem ofcom 恤 non oforthogonal tmles m successfully es 恤 fish a physicalopttrizatbo model for sotring saturated o 汕 ogonal tables ， whwh ws provedto be correctintheo0 we thi 冰 。 w goodpersonated s 咖 egies forjumping out of the t 呷 oflocal minimum using quasi sociological method based onthe physical model thus wegetthe wholequasi physicaland quasi sociological algorim forthe problem ofconswction ofs 咖 med orthogonal tables he experimental results showthatthephysical model ishighly efficientthanthe conflmng nlllllber mode ！ based on me pure m 她 ematical 訕 kgfound 他 sucoes 訕 11y ? ? rk 咖 m 枷 ons 訕 卿 nal 郵 ie with 3 leve13 using th 叫 u 1 physical and quasi sociological algori 恤 we got some o 汕 ogonal t 勸 les ofl 。 ， （ 3 ’ ‘ ） which are not isomorphic moreove 乙 some ofour results are also not isomorphic to oe results pearedb 山 e open rekrences we got lip to now lastlx for 讓 卜 ancie 口 戊 扯 d importantproblemsofconstfutfuction oflatin square and orthogonal latin squares （ most of
應用此演算法，我們成功地計算出難的三水平正交表本課題為國家重點基礎研究發展「九七三」規劃，國家「八六三」高技術發展計劃，高等學校博士學位點專項科研基金及中國科學院軟體研究所計算機科學開放研究實驗室課題基金資助項目1g一gs第四，應用擬物擬人方法嘗試求解古老而重要的拉丁方、正交拉丁方（它們事實上是正交表）問題。我們結合這些問題的特性，建立了新的物理模型，從理論上證明了這些物理模型的正確性，並設計出擬人化的「跳出局部極小值陷餅」的策略，得到了求解拉丁方、正交拉丁方的擬物擬人演算法。實驗表明， 」對某些問題演算法有好的效果。The best approximations algorithm is just the method which can solve the mini - max solution of the least value of frequency deviation. because of the reason above, in this paper the best approximations algorithm is introduced into calculating the parameters of atcxo compensation network for the first time
最佳一致逼近演算法正是能夠求解出使頻率偏差的絕對值最小的極小極大解的一種方法，為此將最佳一致逼近演算法首次應用於模擬溫補晶振補償網路參數的計算中。Actually, this is to resolve an over - determined nonlinear system including six output values and eight input values. so newton - gauss iterative algorithms is used, set up the target function in the sense of the least squares. it is discussed whether the minimal solution to the function exist and is single one while the astringency of newton - gauss method is analyzed
對于冗餘驅動振動臺，其位姿正解是求解具有八個輸入、六個輸出的超定非線性方程組，因此本文採用了最小二乘法中的牛頓?高斯迭代法，建立最小二乘目標函數，對目標函數極小解的存在性、唯一性以及牛頓?高斯迭代法的收斂性進行了理論證明和分析，將求出的最小值作為位姿正解的最優解。At the point of co = g > c, it is the hopf bifurcation that the rotor orbit of shaft centerline is the periodic whirl of small amplitude. the method is suitable for the multi - freedom system
數值求解系統動力學方程，在_ c處，轉子軸心軌跡為極小幅值的周期渦動，此為hopf分岔，分叉后，系統運動為擬周期運動。Many technologies of electrically small antennas and wide band antennas are discussed in theory, simulation and experiment. and some novel electrically small or wide band antennas are proposed. the loaded monopole is analyzed in depth integrating the genetic algorithm ( ga ) with the method of moments ( mom ) in order to increase the gain and decrease the vswr of antennas used at hf / vhf band
在本論文的研究過程中，通過合理利用各種現有的天線寬帶化和小型化的理論成果、有效的綜合各種技術措施，運用矩量法和遺傳優化演算法等數值方法，深入研究了加載單極子天線問題，旨在全面提高高頻/甚高頻頻段內的天線增益和降低電壓駐波比，以獲得較高增益的、基本滿足駐波要求的小型超寬帶天線。The traditional optimization technique usually combined the fundamental goal of the controller and performance criterion into a single performance index to be minimized by applying technique based on bellman ' s principle of optimality or pontryagin ' s minimum principle. this view of control is designed to obtain the best solution
傳統的優化技術通常把各種控制要求結合而形成一個單獨的性能指標，應用bellman的最優性原理或者龐特里雅金的極小值原理等使其最小化，從而得到問題的一次性最優解。The problem of monitoring the wear - line of a blast furnace is treated as the inverse problem of the static heat conduction system, and the latter has been turned into the optimization of the squared residual of the measured and calculated temperature at the sensor locations
摘要把確定高爐爐缸爐底熱侵蝕邊界歸結為穩態熱傳導方程的反問題，並轉化為極小化在若干測溫點處由設定侵蝕邊界對應的偏微分方程邊值問題求得的溫度與實測溫度之間誤差的優化問題。Abstract : in this article an optimization method is applied to de sign open - type distribution networks. graph theory technology is used. its mathem at ical model considers both the investment of constructing lines and the cost of o peration. the main idea is getting the structure of tree network that meets with the technical constraint conditions and at the same time make the annual cost mi nimum. the examples of simulation show that this method is fast and effective
文摘:將圖論優化技術應用於配電網路的優化設計，提出了一種適合於開式配電網路規劃的優化方法.所建的數學模型綜合考慮了待建線路的投資和運行費用.求解方法是以圖論中的最短路徑問題為基礎，配合以開式網路潮流演算法，並通過可行路徑的合理變換，得出滿足技術約束條件且使年計算費用取極小值的樹狀網路結構Accordring to basic concept and assumes essentially on the basic of sweden method of slices, be living below the maximum equilibrium state, the function expression about stability safety homogeneous slop is deduced, and the slope surface is consist of two lines and an arc, afterwards according to analysis theory of minimal value ruling on the basic of the maximum, genetic algorithm is applied to slove the dangerousest slide situation and radius and corresponding safely factor
根據瑞典圓弧法的基本概念和基本假定，在極限平衡狀態下，推導了兩直線段均質斜坡穩定性安全系數函數表達式，然後根據極限分析理論的極小值原理，利用遺傳演算法，求出了邊坡穩定性安全系數極小值，並得到最危險滑動面的滑弧半徑和滑弧中心坐標。The effects are on the probabilistic assessment of both scattering regularity and sampling size of the test s - n data. p - s - n curves are characterized by the scale and location parameters related s - n relations for the maximum value model. the materials constants of in the scale relations are given by the average s - n relations and the locations
曲線用極大值分佈的位置與尺度參量s - n關系曲線來表徵，尺度參量s - n關系曲線可表示成均值與位置s - n曲線的函數；均值曲線的材料常數應用最小二乘法求出，位置曲線參數通過極大值分佈的似然函數解出。After analyzing the existing ambiguity resolution methods the dissertation investigates the baseline rotation method based on the antenna - swap idea, and develops the fixed axis rotation maximum - minimum method ? farmm and the equivalent rotation maximum - minimum method ? ermm applicable for static basement and moving vehicle respectively. the former lowers the demands on rotation device while the latter improves the flexibility of antennae installation. meanwhile the dissertation also brings forward an ambiguity function search method which needs only one single epoch data with the outer aided information, and investigates the accuracy requirements for the assistant pointing information
其次，通過與gps等多星系統定向關鍵技術的對比分析，指出雙星定向模糊度確定的難度;在分析現有模糊度求解方法的基礎之上，研究了基於交換天線思想的轉動基線模糊度確定方法，並提出了適合於靜基座的定軸轉動極大/極小值farmm法，以及適合於地面運動載體的等效轉動極大/極小值ermm法，前者降低了對轉動機構的要求，後者則提高了天線安裝的靈活性;同時，提出了一種藉助外部輔助信息的模糊度函數搜索法實現單歷元雙星定向，並分析了對外部輔助單軸姿態信息的精度要求。By studying the solution to generalized effective medium satori resistivity model in laminated and dispersed shaly sand, it shows that there is a local minimum of the function about w derived from the model in the range from 0 to, and the w corresponding to the minimum varies with or w as well as other parameters, therefore, in order to ensure the iteration convergence, here, we adopt a hybrid algorithm combining newton and bisection, and the calculated result shows that using the hybrid algorithm to solve the equation about w is convergent. it is pointed out that shale distribution largely affects water saturatio n predicted by this model
通過研究混合泥質砂巖有效介質通用satori電阻率模型的求解方法，表明模型導出的關于_ w函數在0 -區間內存在一個局部極小值，且該極小值點對應的_ w隨或_ w及其他參數的變化而變化，因此，為了保證迭代收斂，採用牛頓和二分結合的混合迭代演算法，試算結果表明利用牛頓和二分混合迭代演算法求解關于_ w的方程是收斂。They abstract loads as points, and simplify the issue to find the point which makes running cost of electric power system minimum as optimal substation location. the single location optimal model is solved by the method of iteration which is often used to solve extremum problem. the multiple location optimal model is solved by the method which is called location, distribution by turns
用得最多的模型是經典的單、多源連續選址模型，它將負荷抽象為幾何意義上的點，將求最佳所址簡化為求使網路運行費最小的點的坐標，單源連續選址採用數學優化方法中求極值的迭代求解，多源連續選址通常採用交替選址?分配法求解。Damage time for a structure can be detected by lipschitz index, which is gained by module maximum of wavelet transform and is viewed as an index for identifying mutational degree of signals
通過小波系數模極大值求得lipschitz指數，將其作為衡量突變程度的指標，由此可以識別結構發生損傷的時間。Utilizing method of function extremum, it is proved that there lies minimum coefficient heat transmission in sealed vertical air layer, that is to say there exists the minimum theoretical equivalent conductivity factor. furtherly, the equation of the most excellent thickness of air interlayer is obtained
運用函數求極值的方法，證明了封閉垂直夾層中的傳熱系數存在極小值，即封閉垂直夾層在理論上存在最小的當量導熱系數，並推導出了最佳空氣夾層厚度的理論公式。Chapter 3 is devoted to the study of the convergence theory of a dual algorithm for unconstrained minimax problems. a dual algorithm for solving unconstrained minimax problems, based on the penalty function of bertsekas ( 1982 ), is presented. we prove that there exits a threshold of the penalty parameter satisfying that the sequences generated by the dual algorithm converge locally to the kuhn - tuker point of the unconstrained minimax problems when the penalty parameter is less than the threshold
第3章給出無約束極大極小問題的一個對偶演算法的收斂理論，給出一個基於bertsekas （ 1982 ）罰函數的求解無約束極大極小問題的對偶演算法，證明罰參數存在一個閥值，當罰參數小於這一閥值時，該對偶演算法產生的序列局部收斂到問題的kuhn - tuker點，並建立了參數解的誤差估計式，同樣估計了罰函數的hesse陣的條件數，它也依賴于罰參數。Based on the experience of regulating frequency according to different valve ' s angle, a reasonable controlling tactic is proposed. when the situation changes to a small degree, electromotor makes fan running at a constant rate ; when the situation changes to the limiting range, the discharge header pressure is automatically adjusted by the rate of fan
制定合理的控制策略，採用基於閥門開度的變頻調節策略，即工況變化較小的情況下，電機帶動鼓風機恆速運行，通過控制閥門開度自動調節集氣管壓力；當閥門開度到達極限值，還不能達到控制要求時，再通過變頻器改變鼓風機轉速，以自動調節集氣管壓力。The quasi - physical method makes the original problem an optimization problem in mathematics. there is often the possibility of going to a local minimum of object function when we solve the optimization problem mathematically. as for how to jump out of the trap of local minimum so that the calculation can head for a region with better prospects, the quasi - physical method is helpless
擬物方法將原始問題落實為優化問題，而用數學方法在求解優化問題時，常常會碰到計算落入目標函數的局部極小值陷階的困境，如何從這種困境中逃逸出來，使得計算奔向前景更好的區域，擬物方法則無能為力，而應用擬人方法則可以設計出好的「跳出陷阱」策略。分享友人