線性項 的英文怎麼說

中文拼音 [xiànxìngxiàng]
線性項 英文
linear term
  • 線 : 名詞1 （用絲、棉、金屬等製成的細長的東西） thread; string; wire 2 [數學] （一個點任意移動所構成的...
  • 性 : Ⅰ名詞1 （性格） nature; character; disposition 2 （性能; 性質） property; quality 3 （性別） sex ...
  • 項 : Ⅰ名詞1 （頸的後部） nape （of the neck） 2 （款項） sum （of money） 3 [數學] （不用加、減號連接...
  • 線性 : [數學] [物理學] linear; linearity線性代數 linear algebra; 線性方程 linear equation; 線性規劃 line...
  1. The results show that the class of problems has at least one solution or positive solution provided the " maximal height " of nonlinear term is appropriate on a bounded set of its domain

    結論表明，只要非線性項在其定義域的某個有界集上的「最大高度」是適當的，那麼這類問題至少存在一個解或者正解。
  2. With the concavity and integrability of sublinear terms near zero, the symmetry results for a class of sublinear elliptic equations are given by making use of the moving - plane method

    本文利用次線性項在零點附近的凹性和可積性，用移動平面法給出了一類次線性橢圓方程正解的對稱性
  3. In chapter three, we negative the nonliear terms in the system of equations which include surface pressure, wind stress and coriolis force terms. the height of the storm surge and the storm current can be seen as two terms

    在第三章里，我們忽略了控制方程中的非線性項，將風暴潮潮高和風暴潮流分成氣壓效應和風應力效應的疊加。
  4. Thirdly, we obtain multiplicity of solutions for resonant non - homogeneous boundary perturbations from symmetric problem without parameter by a new perturbation method introduced by bolle in reference [ 4 ], applied in references [ 5 ] [ 6 ] and extend in reference [ 7 ]. references [ 5 ] [ 6 ] have considered some exceptive case while the section consider general case

    再次，利用bolle在文獻[ 4 ]中提出的、被應用於文獻[ 5 ] [ 6 ]以及在文獻[ 7 ]中被推廣的一種新的擾動方法得到問題即不帶參數的對稱共振非齊次邊值擾動問題的多重解，在文獻[ 5 ] [ 6 ]中討論了非線性項為摘要幾種特殊情形的情況，此部分討論非線性項為一般情形的情況
  5. Then, the discussion of the influence of linear part, the lumped mass of the rigid links and the angular acceleration of flexible joint actuators on the non - linear dynamic character of flexible joint manipulator with flexible links is done

    問中還就關節線性項、桿的集中質量和關節驅動加速度對關節非線性特性表現的影響進行了討論。
  6. A numerical simulation of a planar 3r manipulator is performed. the results show that the non - linear torsion springs have important influences on the joint error and tip error of manipulators. moreover, the influences of linear part of non - linear, the lumped mass of the rigid links and the angular acceleration of joint actuators on the non - linear dynamic character of flexible joint manipulator are discussed

    首先，建立了剛性桿非線性關節機器人的動力學模型，之後通過一平面3r機器人進行了數值模擬，說明了在一定情況下，關節的非線性對剛性桿機器人關節變形和末端誤差具有重要影響，並在此基礎上，討論了關節線性項、桿的集中質量和關節驅動加速度對機器人關節非線性特性的影響。
  7. The geometric non - linearity and the coupling action of bending and torsion are comprised in the static formulation, which can describe the large deflection of the three - dimensional beams

    在靜力學方程中既考慮了幾何非線性項，也考慮了彎扭耦合項，可以描述空間梁發生的大撓度變形。
  8. When we study the homoclinic orbits of the cqs equation, the quintic term is a perturbation

    在討論cqs方程的同宿軌道時，五次非線性項被作為nls方程的擾動項。
  9. The equation including the nonlinear dispersion, i. e. the modified nonlinear schrodinger ( mnls ) equation, is a better model. in this thesis, we take mnls solitons as a model for femtosecond soltions. then based on the recently developed direct perturbation theory for perturbed mnls equation, we study the raman self - frequency shift of femtosecond solitons and its suppression by the means of frequency filters. for this purpose, first, we define the physical parameters of mnls solitons ; next, through the direct perturbation theory for perturbed mnls equation, under adiabatic approximation, we obtain the evolving parameters of mnls soliton on our questions and then choose the parameters of frequency filters based on it ; at last, we directly numerically simulated our questions by split - step fourier ( ssf ) method after improving the arithmetic of the differentiation of the nonlinear item for satisfying mnls equation

    本論文以mnls孤子作為光纖飛秒孤子的模型，通過新近建立的mnls孤子直接微擾理論，研究光纖中由拉曼效應引起的飛秒孤子在傳輸中的自頻移，以及通過頻率濾波對自頻移的抑制。為此，首先給出描述mnls孤子的各物理量，然後用mnls孤子直接微擾理論，解析地得到這些問題絕熱近似下的孤子參數演化，並由此選擇頻率濾波的參數，最後用分步傅里葉方法，在對非線性項微商的演算法做出了適合於mnls孤子的改善後，對拉曼效應及頻率濾波進行了直接數值模擬，其中頻率濾波參數用微擾理論確定。
  10. Considering enough the property of the equa - tion, we prove existence of absorbing set of the solution in h ~ ( 1 ) by the method of changeing the higher order nonlinear term as nonnegative guadratic form and prove existence of absorbing set of the solution in h ~ ( 2 ) by the method of linear combining of energy inequality and multiform classical inequality

    我們充分考慮方程的特點，將高階非線性項化為一非負定二次型使得解在h ~ 1中的吸收集的存在性得以證明。通過能量估計的巧妙組合以及多種形式的不等式進行精細的估計以獲得h 「的吸收集的存在性
  11. This dissertation investigates both existence of traveling wave solutions for delayed reaction diffusion systems and lattice differential equations, and global attractor of spatially discretized fitzhugh - nagumo equations with dirichlet or neumann boundary conditions. for delayed reaction diffusion systems, the existence of traveling wavefronts in diffusive and coorperative system with time delays is provided, firstly ; the monotone iteration scheme, together with upper - lower solution technique, is applied to establish the existence of traveling wavefronts of delayed reaction diffusion systems with some zero diffusive coefficients. secondly, schauder fixed point theorem is applied to some operators to prove the existence of traveling wave solutions in a properly subset equipped with exponential decay norm, which is obtained from a pair of upper and lower solutions for delayed reaction diffusion systems with non - quasimonotoiiicity

    對于時滯反應擴散方程，我們先利用吳建宏和鄒幸福[ j . dynam . diff . eqns2001 （ 3 ） ]中的主要定理來研究時滯競爭擴散lotka - volterra系統波前解的存在性，給出了這個定理在非線性項滿足弱擬單調條件（ qm * ）時在系統情況中的應用；並利用單調迭代方法和上、下解技術，對于具有部分零擴散系數的時滯反應擴散方程建立波前解的存在性定理，對于具有部分零擴散系數的時滯反應擴散方程建立波前解的存在性定理。
  12. The quadratic nonlinear term and the cubic nonlinear term that coexist in equation ( 1 ), thus causes difficulty in studying this sort of system through the analytical method and correspondingly makes the solution of analytical expression of homoclinic orbit or heteroclinic orbit in hamilton system extremely difficult

    二次非線性項和三次非線性項共同存在於方程（ 1 ）中，使得用解析方法研究這類系統的難度增大，對應hamilton系統中的同宿軌道或異宿軌道的解析表達式的求解相當困難。
  13. In the first part, turbulent motion in convection zone as source to generate alfven waves is studied following lighthill - stein theory, in which the turbulent source was described by nonlinear terms in mhd equations

    就是將mhd方程中的非線性項通過fourier變換轉化為湍動源項，並採用kolmogroff冪律譜來描述對流層的湍動譜。
  14. Lur ' e system is a class of typical nonlinear system that nonlinear terms are constrained in the finite hurwitz sector or infinite hurwitz sector

    Lur 』 e系統是一類典型的非線性系統，其非線性項被約束在有限的或無限的霍爾維茨角域里。
  15. Then, a kind of wnn based on single - scaling multidimensional wavelet frames and its matching pursuit algorithm is introduced. it is applied to approximate the nonlinear terms with lipschitz property of nonlinear systems to establish the adaptive state observer. the robust fault detection is realized by the observer, demonstrating the predominant performance of the wnn

    然後利用一種基於單尺度小波框架的小波網路，逼近一類滿足lipschitz條件的非線性系統的非線性項，構造自適應狀態觀測器，實現了系統的魯棒故障檢測，同時採用徑向基神經網路進行殘差處理，實現了故障預報。
  16. A new step - by - step integral procedure of dynamics equations is presented. the general expression of the solution of dynamics equations is obtained on the basis of the homogenous analytical solutions of dynamics equations and duhamel integration. the explicit analytical integration algorithm, which is characterized by fourth - order accuracy, self - starting and self - correcting, is employed to discretize the equivalent load terms

    另外提出了求解動力學方程的一個新型的逐步積分法，基於線性動力學方程的解析齊次解及duhamel積分，構造出適用於非線性動力學方程解的一般積分表達式，對包含非線性項的非齊次項採用插值近似的方法，得到一個單步顯式、自起步、預測校正具有四階精度的解析逐步積分演算法。
  17. The paper is concerned with periodic solutions to nonautonomous second order hamilton systems where, m : [ 0, t ] - s ( rn, rn ) is a continuous mapping in the space s ( rn, rn ) of symmetric real ( n x n ) - matrices, such that for some u > 0 and all ( t, z ) [ 0, t ] x rn, ( m ( t ) x, x ) > u | x | 2. a s ( rn, rn ), f : [ 0, t ] x rn r is continuous and f : [ 0, t ] xr r exists, is continuous and we study the existence of periodic solutions of the systems by using ekeland variational principle and the saddle points theorem. we suppose that the nonlinearity vf and potential f belongs to a class of unbounded functional. our work improves the existed results. we obtained the results of multiplicity of periodic solutions of the systems by using lusternik - schnirelman category theory and the generalized saddle points theorem, and the functional does not need the condition of constant definite. at last, we obtained the existence of infinity many distinct periodic solutions of the corresponding non - perturbation systems by using the symmetric mountain pass theorem

    （ ? ， ? ）為r ~ n中內積， | ? |為對應范數。 f [ 0 ， t ] r ~ n r連續， ? f （ t ， x ）存在且連續， h l ~ 1 （ 0 ， t ； r ~ n ） 。利用ekeland變分原理和鞍點定理討論了該系統周期解的存在性，把非線性項和位勢函數放寬到一類無界函數，推廣了這方面工作的一些已有結果；利用廣義鞍點定理和lusternik - schnirelman疇數理論得到了該系統的多重周期解，取掉了泛函的常定要求；最後利用對稱山路定理得到沒有擾動時系統的無窮多周期解。
  18. Compared to linear item, the nonlinear item is not small in these systems. so the traditional perturbation methods may not be applied in strongly nonlinear system directly

    對于強非線性系統，由於非線性項相對于線性項不再是小量，所以傳統的攝動方法往往不能直接應用來研究強非線性系統。
  19. In this dissertation, a kind of linear time invariant systems with unmodeled dynamics and nonlinear uncertainties are considered by using backstepping approach and variable structure control algorithm. also another kind of linear time varying systems are studied based on the same method

    本文主要利用backstepping方法與變結構控制方法，研究了有未建模動態及不確定非線性項的線性時不變系統，以及輸入通道帶有干擾的線性時變系統的控制器設計問題
  20. This dissertation presented two new methods of robust adaptive track control for a class of mimo strong nonlinear system with external disturbance. one method makes use of taylor approximation principle to linearize the mimo strong nonlinear system at the ideal equilibrium point, meanwhile external disturbance is considered, and then designs two on - line neural network controller respectively, which can dynamically compensate the high order items of taylor series and the control signals at ideal equilibrium point under the drive of state error between linear and nonlinear system. a linear feedback controller obtained by pole assignment and two on - line neural network act on the practical mimo high nonlinear system together, guaranteeing the whole system robust stable and tracking the specified signal ; the other method designs three on - line neural networks for this class of system

    本文對於一類含有外部擾動的多輸入多輸出（ mimo ）強非線性系統，提出了兩種新的魯棒自適應跟蹤控制方法，第一種利用了taylor近似的原理，在考慮了外部擾動的情況下，將mimo強非線性系統在理想平衡點處線性化，分別設計了兩個在線神經網路控制器，在線性和非線性系統之間的狀態誤差驅動下動態補償系統的taylor近似高階項及理想平衡點處的控制信號，滿足極點配置方法的線性反饋控制器和兩個在線神經網路聯合作用於實際的被控mimo強非線性系統，在保證整個系統魯棒穩定性的情況下，能夠跟蹤給定的指令信號；另一種方法是針對這類系統設計了3個在線神經網路，分別實時抵消這類非線性系統中的非線性部分、與控制量耦合的非線性項以及外部擾動，使得受控系統的輸出可以完全跟蹤給定輸入參考信號。
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