normal equations system 中文意思是什麼
normal equations system
解釋
正規方程組-
This is called a normal system of differential equations.
這稱為正規微分方程組。 -
Based on the normal form obtained above, a global perturbation method is utilized to give the analysis for the global bifurcations and chaotic dynamics of the rotor - ambs system. the global bifurcations analysis indicates that there exist the heteroclinic bifurcations and the silnikov - type homoclinic orbit in the averaged equations
利用全局攝動法研究了電磁軸承-轉子系統的全局分叉和混沌動力學，利用數值模擬方法分別對平均方程和原方程進行了分析，得到了的描述系統混沌運動的相圖和波形圖，從而驗證了理論結果的正確性。 -
Based on the analysis about the test requirements and the saturated magnetization of the armor plate, the excitation magnetic circuit satisfying the testing condition and a validation system are designed. because the geometric, of the magnetic leakage at the direction of the normal of the roundness fault has the feature of two peaks : a positive and a negative, using the linear regression and the software matlab, two regression equation are proposed : one is about the peak value of the magnetic leakage and the diameter and depth of the roundness fault ; the other is the distance between the two peaks and the diameter of the roundness fault. the result of the validation system proves that the two equations are valid, and an applied method using for quantificationally inspecting the roundness faults is proposed according to the two equations
根據實驗要求，通過對鋼板達到飽和磁化的必要性進行的分析，設計了符合試驗條件的勵磁磁路，並設計了一套實驗驗證系統；根據圓形缺陷法線分量漏磁場幾何圖形正負雙峰值的特點，採用線性回歸擬合的原理和matlab軟體及其統計工具箱中的相關函數，給出了圓形缺陷漏磁場幾何圖形的峰峰值與圓形缺陷的直徑和深度以及峰峰值間距與圓形缺陷直徑的兩個回歸擬合方程，並通過實驗驗證系統驗證了擬合方程的正確性，利用這兩個簡單實用的擬合方程，提出了一種工程定量檢測圓形缺陷的應用方案。 -
Then a new system of nonlinear equations can be formed from the variation gray of same point in multiple images and the optimum solution of the system can be obtained from gauss - newton and levenberg - marquardt algorithms, so that the normal vector at that point of the surface can be defined
再根據多幅圖像上固定位置一點的灰度值變化列多個非線性方程，以gauss - newton演算法和levenberg - marquardt演算法為基礎求非線性方程組的最優近似解，將選取點的法向量確定下來。 -
A new system of nonlinear equations can be formed from the variation gray of same point in multiple images and the optimum solution of the system can be obtained, so that the normal vector at that point of the surface can be defined. then we can get the surface height at the point by applying composite numerical integration. according to variational calculus and finite difference method, the fitted surface is further iterated and modified, so the reconstruction error can be reduced
根據多幅圖像上固定位置一點灰度值的變化列多個非線性方程，通過求解該非線性方程組，確定出各選取點的法向量；然後通過復化積分確定選取點的高度值，並利用變分和有限差分思想對所得表面進行進一步的迭代和修正，以減小重構誤差。 -
Fde and dde have been extensively developed since 1959, and each branch has been set up a complete theory system. now, more and more scholars study fde and explore further developments. also, fde with infinite delay is one of the fields of great interest to people. in fact, fde with infinite delay has undergone a rapid development since 1870s. hale and kato gave a normal and set up the b phase space theory in 1978. under the basic theory, people studied the stability, boundedness and periodic solution of rfde. for example : in [ 4 ], huang qichang introduced the concept of uniformly forgetful functional, discussed the boundedness and stability of solution ; [ 5 ] - [ 8 ] discussed the existence of periodic solutions, generalized the results of rfde with finite delay. however, for nfde with infinite delay, few people discuss it, and many problems have not been solved. so there are some very interesting developments. lt is worth while generalizing the results of fde with fini te delay or rfde with infinite delay to nfde with infinite delay. because of the difficulty of infinite delay, we may discuss neutral volterra integro - differential equations, and obtain simple results
自1959年以來，無論是一般的泛函微分方程還是具體的微分差分方程，其發展是非常迅速的，在每一分支中都形成了一套完整的理論體系，如今越來越多的學者涉足這一領域探求更新的發展，無窮時滯泛函微分方程就是他們研究的主要對象之一。準確地說，無窮時滯泛函微分方程興起於19世紀七十年代， 1978年hale與kato提出b空間的公理體系。在此體系下建立了方程的基本理論，並研究了解的穩定性、有界性、周期解等問題，如[ 4 ]利用一致健忘的liapunov泛函討論了解的有界性和穩定性， [ 5 ] - [ 8 ]討論了周期解的存在性，推廣了有限時滯的相關結果。 -
Normal form theory is a useful tool for the research of dynamical system, its main idea is to study the equations of the system and transform the equations into simple forms
規范形方法是研究動力系統的有效工具，其目的是討論系統所對應的方程的簡化形式。
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