線性向量方程 的英文怎麼說

中文拼音 [xiànxìngxiàngliángfāngchéng]
線性向量方程 英文
linear vector equation
  • 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 ...
  • 量 : 量動1. （度量） measure 2. （估量） estimate; size up
  • 方 : Ⅰ名詞1 （方形; 方體） square 2 [數學] （乘方） involution; power 3 （方向） direction 4 （方面） ...
  • 程 : 名詞1 （規章; 法式） rule; regulation 2 （進度; 程序） order; procedure 3 （路途; 一段路） journe...
  • 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 complex nonlinear pursuit - evasion model of two spacecraft in near - earth coplanar orbit is simplified to linear model, the circular region the radius of which is equal to capture radius is defined as target set, capture is achieved when the evader come into the target set and the game is over ; the boundary of useable part ( bup ) is determined, and the analytical form solution of the linear equations is obtained by backward integration of the state variables from the bup, the linear barrier of the pursuit - evasion model and the optimum thrust of the both sides are thus obtained

    本文將近地共面軌道內運動的兩飛行器非線性追逃模型簡化為線性模型，以捕獲半徑的圓域定為目標集，確定目標集邊界上的可用部分，並以此為各狀態變量的起點，對時間進行倒向積分，求得線性方程組的解析解，從而確定了該追逃模型的線性界柵，以及界柵上對策雙方的最優推力，即求得了滿足最優策略時相對運動的軌跡和推力。
  2. Since complicated differential and integral operations were involved in the kernel of the integral equation, we simplified the equation and got the nakano equation. as instances, the planar archimedean spiral antenna, the planar equiangular spiral antenna, the monofilar helical antenna, the conical helical antenna with fixed ascending angle and the conical equiangular - spiral antenna were analyzed through the moment method. all of the results matched fairly well with the references and experiment results

    這種方法的積分方程的積分核里含有復雜的微積分運算，為了簡化計算，本文在推廣的海倫積分方程的基礎上，對方程進行了簡化，推導了nakano方程，並以平面阿基米德螺旋天線，平面等角螺旋天線，軸向模圓柱螺旋天線，具有固定升角的圓錐螺旋天線和圓錐等角螺旋天線為例，用矩量法求解了天線上的電流分佈，研究了螺旋天線輻射的寬頻帶特性，所得的結果均與參考文獻吻合很好。
  3. At first, this paper analyzes the factors of water - sand influencing water level of yellow river and the feasibility just using the factors of water - sand to study water level, and collects the corresponding data ; secondly, because there are strong nonlinear relation in the corresponding data, by meticulous theory analysis, this paper integrates basic nonlinear analysis method, theory of random analysis, method of least squares and so on. it puts forward a method which can get the high accuracy simulation of the data, perfects the multi - factor analysis of variable ( over three factors ) of the statistic ; thirdly, it applies the method to the approximation of corresponding water level process which belong to the capacity of sand of middle - high and middle - low, and get the high - accuracy simulation about the typical nonlinear relation ; at last, this paper definitudes the main influence mode that the capacity of sand. it mainly unite with other factors to work on the water level in the yellow river lower reaches ; mor eover, this paper analyzes the difficult point and the direction of improvement to realize the accuracy forecasting of the flood level of erodible - bed channel

    首先，系統分析了影響黃河水位的水沙因素，及僅用水沙因素有效研究水位的可行性，並按變量對應思想採集它們的相應數據；其次，由於相應水位過程數據中含極強的非線性關系，本論文經細致的理論分析，將基本的非線性分析方法、統計建模方法、隨機分析理論、最小均方誤差原則等等數學理論及方法有機揉合，提出了能有效實現這類數據高精度擬合的分層篩選法，並改進了統計學中多因子（三個以上）方差分析法；再次，將這一方法用於黃河中高及中低含沙類洪水相應水位過程的擬合，實現了這一典型非線性關系的高精度擬合，各年汛期上下游相應洪水位過程的擬合誤差都較小；最後，明確黃河下游含沙量對水位的主要影響方式，即含沙量主要是與其它因素聯合對水位作用；另外分析了要實現變動河床洪水位過程準確預報的困難所在及改進方向。
  4. For obtaining the numeral solutions of round elastic plates in axisymmetrical deformation with varying - thickness in nonlinear deformation in the unsteady electromagnetic field and mechanical field, by establishing the equations of motion, the equations of distortion, the equations of lorentz force, the equations of electronic dynamic mechenical, and adopting iterative method, we gained the nonlinear magneto - elastic calculation method and outcome of current - carrying shell, and gained the influencing degree toward mechanical parameter of varying thickness round ferreous plates in the electromagnetic field and mechanical field

    摘要為了獲得內邊界固定的環形導電薄板在均布力與橫向磁場作用下的變形問題的數值解，通過建立運動方程、變形方程、電動力學方程和洛侖茲力方程，運用迭代法得出了載流板殼的非線性磁彈性的計算方法和結果，以及機械場、電磁場對鐵質變厚度圓板各力學參量的影響程度。
  5. Laplace transformation, array, vector, determinate, linear equation set, fourier series, partial differential equations

    本課程介紹拉普拉斯轉換、矩陣、向量、行列式、線性方程組、傅立葉級數、偏微分方程式。
  6. For the regular curves, we find two killing fields for the purpose of integrating the structural equations of the p - elastic curves and express the p - elastica by quadratures in a system of cylindrical coordinates. for the star - like affine curves, we solve the euler - lagrange equation by quadratures and reduced the higher order structure equation to a first order linear system by using killing field and the classification of linear lie algebra sl ( 2, r ), sl ( 3, r ) and sl ( 4, r ). we solve the centroaffine p - elastica completely by quadratures

    對于正則曲線的情形，我們發現了兩個用於求解p -彈性曲線的結構方程的killing向量場並用積分將p -彈性曲線在一個柱面坐標系中表示出來，而對仿射星形曲線的情形，我們用積分方法解出了歐拉-拉格朗日方程，利用killing向量場及線性李代數s1 （ 2 ， r ） 、 s1 （ 3 ， r ）和s1 （ 4 ， r ）的分類將高階結構方程降為一階線性方程，因此我們用積分完全解出了中心仿射p -彈性曲線。
  7. Its main contributions include the following several aspects : firstly, the dissertation constructs the mathematic model of short baseline orientation determination using two geostationary satellites and analyses the applicable conditions of carrier phase interferometry. orientation determination precision is analysed in depth through both the conventional linearized method and monte - carlo computer simulation method, and the mathematical simulation results show that the linearized method has the shortcoming of fairly low elevation error analysis precision in high latitude area so as not to be very appropriate there. by analyzing the definite factors influencing orientation precision, the dissertation develops the concept of orientation dilution of precision, which uncovers the internal cause of exotic error behavior of bi - satellite orientation, and has important guiding significance for practical engineering applications

    本文系統地研究了基於「北斗一號」衛星載波相位干涉測量原理實現地球靜止雙星定向的相關技術，主要研究成果包括以下幾方面:首先，建立了利用兩顆地球靜止軌道衛星進行短基線定向的數學模型，分析了載波相位干涉測量的適用條件;採用傳統的線性化解析法及蒙特卡洛隨機模擬法兩種途徑對雙星定向的精度進行了詳細分析，數學模擬結果表明在高緯度地區線性化解析法由於俯仰角誤差分析精度略有下降而不太適合;在分析定向精度確定性影響因素的基礎上，提出了雙星定向精度衰減因子odop的概念，揭示了雙星定向誤差特殊表現的內部機理，對實際工程應用具有重要的指導意義。
  8. The equations of the mean value functions and the covariance functions are established for dynamical systems whose inputs are fuzzy stochastic processes. an existence and uniqueness theorem of ito fuzzy stochastic differential equations is proved, some explicit representations of solutions and the equations of statistical characteristics are deduced for linear fuzzy stochastic differential equations, and numerical methods to nonlinear fuzzy stochastic differential equations are proposed, the conditions for stability and observability of fuzzy linear systems are derived. the kalman filter algorithms of linear fuzzy stochastic systems are brought forward

    主要成果包括：提出了模糊隨機變量協方差和反向協方差的概念；研究了二階模糊隨機變量的均方收斂性，並在此基礎上得到了均方模糊隨機分析、平穩模糊隨機過程及其譜分解的若干定理；根據均方模糊隨機分析理論，得到了輸入為模糊隨機過程的線性系統的輸出輸入統計特徵關系方程；證明了ito型模糊隨機微分方程解的存在唯一性，並給出了ito型線性模糊隨機微分方程解的表達式，統計特徵方程以及非線性模糊隨機微分方程的數值解法；得到了模糊線性系統的穩定性和可觀性條件、線性模糊隨機系統統計特徵方程和線性模糊隨機系統的kalman濾波演算法；研究了當觀測值是模糊數據時，線性回歸模型的建立。
  9. A normal transform is introduced, and there are enough much grids in the region between the critical layer and the wall, where the variation of the disturbance is the quickest. the finite - difference of governing equations with fourth - order accuracy in the normal direction is utilized in full regions including points close the wall, and is very important for accurately discreting equations. the combination of global and local methods is implemented, and a new iterative formula is derived

    對于曲線坐標系下的拋物化穩定性方程，文中發展了求解的高效數值方法:引進法向變換，使得在臨界層與壁面之間的擾動量變化最快的區域有更多的法向網格點;導出包含邊界鄰域在內的完全四階精度的法向有限差分格式，這對方程精確離散至關重要;採用全局法和局部法相結合的方法及其新的迭代公式，大大加速收斂並得到更精確的特徵值。
  10. Aiming at the study actuality of fan performance monitoring system and analysis of fan performance curve changes affected by inlet - box and the different fixed - angles of guide blades in the course of installation, a fan flow monitoring model based on rbfnn in whole flow zone was established in this thesis. in the model, the method of no throttle and fan performance curve were used as basis. and on the basis of that model, fan performance curves of 4 - 73no. 8d were approached with experimental data of different speed, different opening - angles of guide blade and different resistance of pipeline, the precision and the error law of model were studied

    本文針對電站風機性能監測系統研究較少的現狀，在實驗的基礎上分析了現場加裝進氣箱和由於安裝造成的導流器葉片開度不一致對風機性能曲線的影響，並在此基礎上採用無節流方法測量流量，以風機調節性能曲線為依據，建立了基於徑向基函數（ rbf ）神經網路的風機流量全程監測模型；以實驗室4 - 73no . 8d離心風機為研究對象，探討了rbf神經網路差壓模型在變轉速、變導流器開度和變管網阻力等工況下的應用精度和誤差分佈規律；最後用visualc + +語言開發了風機性能在線監測系統。
  11. In this paper, some characteristics of flow movement and sediment transport are analyzed by using the flume experiment data. the cross section of compound channel can be divided into four regions : the undisturbed region in main channel, the interactive region between channel and plain, the undisturbed region in flood plain and the boundary region. in the undisturbed regions, the distribution of longitudinal velocity along the depth has the feature of lograithmic. whereas, in the interactive region, the longitudinal velocity does not obey the logarithmic distribution law, but it can expressed as a revised logarithmic function by using a wake function. on the basis of the kinematic equation the velocity distribution of transverse velocity is obtained. in the boundary region, the longitudinal velocity obeys the law of parabolic distribution. furthermore, according to the simplified diffusion equation, the transverse distribution of sediment concentration in the interactive region is deduced. the analysis is in good agreement with the measured data

    本文根據漫灘水流的運動特點，將漫灘水流的復式斷面分為主槽平衡區、灘槽交互區、灘地平衡區及邊壁區等4個區，並給出了各區寬度的經驗公式.根據灘槽交互區垂線流速分佈的變化特點，提出了附加尾流函數的對數流速分佈公式.在簡化水流運動方程和泥沙擴散方程的基礎上，對灘槽交互區內垂線平均流速及含沙量沿橫向分佈進行了理論分析，提出了反映灘槽水流動量交換強度的橫向渦量粘性系數及橫向擴散系數的表達式，得到了漫灘水流垂線平均流速及含沙量沿橫向分佈的解析解，並與實測資料吻合較好
  12. Basing on the statistical inaming t ' heory ( slt ), the thesis discusses the svm problems in linearly separable case, lineariy non - separable case and non - linear separable case, and induces a convex quadratic programming ( qp ) problem with an equation constrain and non - equation constrains. then one program on solving the op problem is proposed

    概述了統計學習理論的主要內容，推導了支持向量機方法在文本線性可分、線性不可分和非線性可分情況下實現分類的數學公式，將學習問題轉化為一個在等式約束和不等式約束下的凸二次優化問題，總結了求解的過程。
  13. Determination method of the damage threshold stress and damage threshold strain is given, six kinds of damage variables ( which are across isotropy effectual elastic modulus damage variable, simple effectual elastic modulus damage variable, density damage variable, volume damage variable, volume density damage variable and area density damage variable ) are defined, evolution curves and evolution equations of harden yield damage are obtained

    提出了損傷應力和應變門檻值的確定方法，並定義了六種損傷變量（即橫觀各向同性有效彈性模量損傷變量，簡單有效彈性模量損傷變量，密度損傷變量，體積損傷變量，體積密度損傷變量和面積密度損傷變量） ，在此基礎上得出了硬化屈服損傷過程中的損傷演化曲線和演化方程。
  14. To gain better innovation performance, enterprises should promote total synergy of these six key agents under the paradigm of tim ; 2 ) the five - phase process model of total synergy, named c ~ ( 3 ) is is brought forward in this paper, contact / communication, competition / conflict, cooperation, integration and synergy as general five phases in the process of enterprise ' s technology innovation ; 3 ) based on literature review and the result of empirical research from more than 100 large and middle chinese enterprises, some important factors are summaried, and approaches to promot the total synergy of all innovation agents are recommended ; 4 ) synergy betweentechnology and every non - technology agent innovation has strong positive corelation to the degree of total synergy, among which synergy between technology and market agent contributes most, following is between technology and institution agent, technology and organization agent, technology and strategy agent, and the synergy between technology and culture agent contributes least ; the quantitative relations ( regression equation ) between them are : degree of total synergy = synergy between technology and organization agent 0. 16 + synergy between technology and institution agent 0. 38 + synergy between technology and market agent 0. 46 - 2. 70

    首先結合國內外文獻和面向全國100餘家大中型工業企業的211份調查問卷的實證研究得出了創新要素全面協同的影響因素。在此基礎上，從戰略與領導、制度、組織結構與流程、文化、溝通與知識共享等方面總結出了促進各創新要素協同的方法與途徑； 4 .技術與各非技術創新要素的兩兩協同對于要素全面協同程度都有較強正相關性，其中對于全而協同程度貢獻最大的是技術與市場要素的協同，其次是技術與制度、技術與組織、技術與戰略，而技術與文化要素的協同對于全面協同的貢獻相對較少。實證得出各要素協同與全面協同程度間的定量關系是（線性回歸方程） :要素全面協同程度二技術與組織要素協同x0 . 16 +技術與制度要素x0 . 38 +技術與市場要素xo . 46一2 . 70 。
  15. The basic equations of elliptic plate, when temperature and stress fields are coupled, are developed, which include transverse thermal vibration equation, the compatibility equation and energy equations

    本文首先推導了當溫度場和應變場耦合時橢圓板的非線性熱彈耦合振動的基本方程，其中包括橫向熱振動方程、協調方程和能量方程。
  16. An on - line minimum - variance estimator was developed for thrust acceleration applied to orbit transfer using discrete - time radar measurements. the mass - flow - rate of propellant was selected as a state variant, which was estimated by employing an integral state model and ekf filter. the variation equations for measurement vector to mass - flow - rate have been established to linearize the discrete - time measurement equations. the algorithm has applied successfully to maneuver process in commanding satellite into geo - stationary orbit. the results show that the algorithm developed here can monitor and determine whether engine works well or failure precisely and quickly during orbit transfer process

    飛行器軌道機動過程中，為跟蹤、定位機動目標和干預機動控制過程，需要統計處理離散的雷達觀測量實時估計推進發動機的推力，進而確定飛行器的瞬時軌道參數.本文所述演算法是該工程問題的探討和解決方案.文章建立了軌道機動過程中連續變質量運動模型和離散雷達量測模型，推進發動機的質量秒耗量作為表徵推力加速度的一個近似常量，應用擴展卡爾曼濾波對離散的雷達測量數據進行順序統計處理給出秒耗量的最小方差估計;文章詳細地推導了線性化量測模型的變分方程和觀測矩陣;模擬結果表明該演算法能快速、準確地估計推進發動機的質量秒耗量和向機動目標施加的實際推力
  17. It is constructed that radial impact and rubbing dynamics differential equations of the rotor system having the nonlinear rigidity on the unsteady and non - linear oil film. the bifurcation and chaos behavior of impact and rubbing fault rotor system caused by the parameters of nonlinear rigidity, rotor rotating speed, eccentric mass is analyzed, in the numerical value analysis method. the bifurcation diagrams, maximum lyapunov exponent diagrams, poincar maps, phase plane portraits, trajectories of journal center, time - history curve, amplitude spectra diagrams of the rotor motion are used

    （ 2 ）建立了具有非線性剛度的轉子系統在非穩態非線性油膜力作用下的徑向碰摩動力學微分方程，並應用含高階余項的非線性動力方程的線性化數值法研究了此類系統響應的復雜動力學行為，利用轉子響應的分岔圖、最大lyapunov指數曲線、 poincar截面映射、時域波形、相軌線、軸心軌跡、幅值譜等圖形分析了系統響應的周期運動、擬周期運動、倍周期分岔、混沌等運動形式的轉化與演變過程，重點研究了非線性剛度、轉子轉速、偏心質量等系統參數對碰摩故障轉子系統的分岔和混沌行為的影響。
  18. Global stability of certain third - order vectorial differential equations

    一類三階非線性向量型微分方程解的全局穩定性
  19. In 1860, schrodinger first put forward the concept " schrodinger equations " in quantum mechanics and since then, the study on schrodinger equations has never stopped, for the mathematical description of many physical phenomena belongs to the field of schrodinger equations, such as nonlinear optic, plasma physics, fluid mechanics etc. as for the form of schrodinger equations, linear schrodinger equations was gradually replaced by nonlinear schrodinger equations ; as for the methods of solving schrodinger equations, the modulus estimate of energy, the principle of contraction mapping, fourier transformation and harmonic analysis are used ; as for the space of the solutions, many people have worked on the problem in bounded domain, euclidean space of dimension n, periodic bounded conditions and mixed regions and they also combined it with the generalization from low dimension to high dimension

    ） dinger方程，如非線性光學、等離子物理、流體力學[ 21 ]等；在方程形式上，從線性schr （ ? ） dinger方程到非線性schr （ ? ） dinger方程；在處理方法上，用能量模估計、壓縮映象原理和fourier變換調和分析等；在方程解空間上，研究有界區域、 n維歐氏空間、周期性有界區域和混合區域等，並且結合從低維向高維推廣。
  20. After confirming the mix property of rpc, the 28 groups of cubes ( 70. 7mm ) the 48 groups cube ( 100mm ) and the 6 groups of prism specimens were carried out to study rpc200 strength standard, discuss the relationship between the mechanical properties ( peak strain 、 young ' s modulus and poission ' s ration ) and prismatic strength, and establish the stress - strain curve for rpc200

    在確定rpc配合比后，本文進行了28組邊長70 . 7mm立方體試件、 48組邊長100mm立方體試件和6組100mm 100mm 300mm稜柱體試件的力學性能試驗，研究了rpc200的強度標準，探討rpc200的基本力學指標（峰值應變、彈性模量、橫向變形系數等）與稜柱體抗壓強度之間的關系，建立了rpc200應力應變曲線上升段方程。
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