線性常數 的英文怎麼說
中文拼音 [xiànxìngchángshǔ]
線性常數
英文
linear constant-
An iterated algorithm with spline function for initial value problems in nonlinear ode
非線性常微分方程初值問題的樣條函數迭代法At present, people usually use birefrigence and quasi - phase - matching methods to achieve higher effiency in the process of conversion. a significant advantage of quasi - phase - matching method is that the interaction is occurred through the largest element of the x ( 2 ) tensor ; the period of optical superlattice can be designed randomly, and any interaction can be matched without walk - off angle ; they are fitted to be used in frequency conversion of lower power especially. the quasi - phase - matching method has some advantages over birefrigence method, improving the efficiency of frequency conversion ; the range of frequency conversion covers its whole transperant wavelength
由於準相位匹配技術有其獨特的優勢,可以利用非線性光學晶體的最大二階極化張量,如ppln 、 pplt 、 ppktp用的非線性極化張量都是d _ ( 33 ) ,其有效非線性系數高出普通非線性光學介質(如bbo 、 lbo 、 ktp )一個數量級,而且可以人為靈活設計調制周期,通過周期設計其頻率變換范圍可以覆蓋準相位匹配介質的整個透明波段,選擇無走離效應,解決了常規pm難以解決的問題,拓寬了非線性晶體的應用范圍,極大地提高了頻率轉換效率,已成為非線性光學材料和固體激光器的研究熱點之一。But this model is usually applied to discuss the case of the simplest indented sawtooth potential
但這種模型通常只對相互作用勢取分段線性函數形式才有解析解,所處理的問題具有較大的局限性。The paper summarized the common linear and nonlinear mathematics model in the research of mechanism science, focusing on the comment on the methods to solve nonlinear algebraic system of equations
文中概述了機構學研究中常見的線性和非線性數學模型,著重述評了非線性代數方程組的各種解法。In chapter 2, the ii ordering is presented and the arbitrary functions and the arbitrary constants are least in the solution of formal series under the ii ordering by illustration ; furthermore, the author introduces the application of the standard form of reid to ascertain the target equation of linear constant partial equations
在第二章中,作者給出了reid標準型演算法中的型序關系,通過舉例說明在型序下,得到的形式冪級數解中任意函數和任意常數的個數最少;並提出了reid標準型的一個重要應用:確定線性常系數偏微分方程組的目標方程。On the numerical solution of the cauchy problem for ordinary linear homogeneous differential equations on large intervals of integration
齊次線性常微分方程組柯西問題在大積分區間上的數值解One of the important prerequisites for nn to approximate the nonlinear function f ( x ) is the states x of the system should be in a compact set. therefore, the unkown unlinear systems can be expressed by nn and a model error e ( x ), and there exists a positive constant 6 such that e ( x ) < 8. so the problem can be incorporated into robust adaptive control
神經網路可以逼近非線性函數f ( x )的一個重要前提是x必須落入某一緊集s中,因此在一緊集u上,未知的非線性系統就可以用神經網路及一建模誤差項( x )表示出來,且存在一正的常數,使得( x ) ,從而這一問題可以歸結到魯棒自適應控制中。In the third chapter, we will study the existence and uniqueness of the classical global solution and generalized global solution to the periodic boundary value problem and the cauchy problem for this kind of equation. in the second chapter, we study the following nonlinear wave equation of higher order : with the initial boundary value conditions or with where a1, a2, a3 > 0 are constants, ( s ), f ( s0, s1, s2 s3, s4 ) are given nonlin - ear functions, u0 ( x ) and, u1 ( x ) are given initial functions. for this purpose, by green ' s function of a boundary value problem for a fourth order ordinary differential equation we first reduce the problem ( 1 ) - ( 3 ) to an equivalent intergral equation, then making use of the contraction mapping principle we prove the existence and uniqueness of the local classical solution for the intergral equation
本文分三章,第一章為引言;第二章研究一類非線性高階波動方程的初邊值問題的整體古典解的存在性和唯一性,以及古典解的爆破;第三章研究此方程的周期邊界問題和cauchy問題的整體廣義解和整體古典解的存在性和唯一性,具體情況如下:在第二章中,我們研究一類非線性高階波動方程的如下初邊值問題:或或其中a _ 1 , a _ 2 , a _ 3 0為常數, ( s ) , ( s _ 0 , s _ 1 , s _ 2 , s _ 3 , s _ 4 , )為已知的非線性函數, u _ 0 ( x ) , u _ 1 , ( x )為已知的初始函數,為此,我們先用四階常微分方程邊值問題的green函數把上述問題轉化為等價的積分方程,然後利用壓縮映射原理證明此積分方程局部古典解的存在性和唯一性,又用解的延拓法證明上述問題整體古典解的存在性和唯一性,主要結果有:定理1設u _ 0 ( x ) , u _ 1 ( x ) c ~ 4 [ 0 , 1 ]且滿足邊界條件( 2 ) ,若以下條件滿足:其中a , b月0為常數, wNonlinear constant r | could be calculated according to the numbers of the diffraction rings. the sample ' s optical limiting properties were discussed. according to the experimental results, we estimated that the main mechanism of the optical limiting was from the thermo - optic effect
對2 -甲氧基5 -丁氧基取代ppv氯仿溶液進行了激光誘導自衍射實驗,根據衍射環的個數估算出了樣品的非線性常數;同時還對該樣品進行了光限幅特性的研究,由實驗結果分析得出:由光熱效應引起的自衍射是產生光限幅特性的主要機制。The solution of homogeneous and linear difference equations with constant coefficient
一類齊次線性常系數差分方程組的解The precision duhamel integration solution for the linearization equation is also given from the theory of linear differential equation. the calculating results show that the new method can improve the calculation precision greatly. in fact, the truncation error is not limited by this method, it can arrive the precision according to the requirement
本文的主要工作有以下幾個方面: ( 1 )由於非線性項的存在,使得多數情況下難以得到非線性動力方程的解析解表達式,目前常使用數值積分方法來求解非線性動力學方程的解,但常規計算方法的計算精度不很理想,本文提出了含taylor展開項中高階余項的非線性動力方程的線性化數值計算方法,構造了瞬態線性化方程,給出了duhamel積分的表達式。The feeder reconfiguration for loss minimization in distribution systems is realized by changing the status of sectionalizing and tie switches. however, there are many switches in a distribution system. so it is difficult to construct a mathematic model of the relationship between the loads and the switch states with the minimum losses directly
在滿足各種運行約束條件下,以網損最小為目標的配電網重構問題是個典型的非線性整數組合優化問題,由於開關很多,很難用常規的數學模型直接建立負荷與網損最小時的開關狀態之間的關系。We apply this condition and elementary properties of fourier series to prove a uniqueness theorem for periodic solutions of a class of second order nonlinear ordinary differential systems
我們應用這個條件和傅立葉級數的基本性質證明了二階非線性常微系統周期解的唯一性定理。Numerical continuation method for solving nonlinear difference equations of ordinary differential equation boundary value problem
解非線性常微分方程邊值問題差分方程的數值延拓法At present we already use tradition method ( non - linearity parameter estimate method -, logarithm coordinate graph explain method and surplus analysis method ) ascertain measure area ' s every element ' s background value and abnormity lower limit, manage result is difference between real data. this article use fractal method ' s sum arithmetic ascertain geochemistry abnormity. by the contrast of these two arithmetic and abnormity graph, we think receive better effect
目前可用傳統的方法(非線性參數估計法、對數坐標圖解法和剩餘分析法)確定測區各元素的背景值和異常下限,處理結果與實際資料有一定差異。本文用分形技術中的求和演算法來確定地球化學元素的異常下限,實踐證明,其處理結果具有較好的效果。Based on the results and with the augmentation approach, an adaptive control scheme for space robot system with unknown payload parameters to track the desired trajectory in joint space is developed
該系統動力學方程的優點是關於一組組合慣性參數能保持慣常的線性函數關系。The aim of this thesis is to analyze the super - convergence and stability of continuous finite element methods which is a type of numerical me - thods solving the 1 - degree lineal initial value problem of ordinary differential equation, and compare the stability of the three 4 - order pre - cision numerical methods of the 1 - degree initial value problem of ordinary differential equation - classical runge - kutta method ( single step method ), adams hidden method ( multiple step method ), and continuous finite element method
本文針對一階線性常微分方程初值問題的連續有限元法的超收斂性和穩定性作了分析,並對一階線性常微分方程初值問題的具有4階精度的三類數值方法? ?經典runge - kutta法(單步法) , adams隱式格式(多步法) ,連續有限元法的穩定性作了比較。In this paper, by using the fixed point index method, the authors discussed the periodic boundary value problem of first order differential systems
摘要利用錐上的不動點指數研究了一階非線性常微分方程組的周期邊值問題。Secondly, for the petri nets controller synthesis of des, linear integer program ( lip ) is an efficient technique for the on - line computation of the control policy when the maximal uncontrollable subnet is loop - free
當最大不可控子網是無環結構時,線性整數規劃( lip )是一種非常有效的在線求解控制律的方法。Neural networks can be viewed as a universal approximator for nonlinear functions, but the multi - layer feed - forward neural network which be used usually is a static state network in nature, it is disagree with the real - time identification for dynamic system. moreover, recurrent neural networks can simulate the state memory mechanism of dynamic system, so it can be utilized as the model of dynamic time delay system
神經網路具有逼近任意連續非線性函數的能力,但常用的多層前饋式反傳網路本質上是一種靜態網路,不適合動態系統的實時辨識,而遞歸神經網路能夠實現對動態系統狀態記憶機制的模擬,因此更適合於作為動態時延系統的模型。分享友人