series solution 中文意思是什麼
series solution
解釋
分解成級數求解-
In this paper, we give a brief introduction to the helfrich elastic theory. to solve the helfrich equation under the physical conditions of vesicles, a taylor series method is introduced, which offers a unified method to reproduce the exact solution including the famous axisymmetrical constant - curvature surfaces and the biconcave shape solution
本文在簡要介紹了helfrich的彈性理論及膜方程的基礎上，開創性地引入taylor級數法，在軸對稱膜的邊界條件下，對helfrich膜方程以taylor級數法求解，統一地得到了目前已知的兩個特解：常平均曲率曲面和紅血球形狀解。 -
According to the analysis and comparison for existing wireless data traffics, a wireless bonding mode is adopted to realize mobile ticketing. the thesis also researches the safety issue on railway wireless ticketing system and put forwards the corresponsive solution. a series of safety techniques, for example data encryption, are adopted to ensure the safety of transaction between the wireless ticketing terminal and railway ticketing system
本論文圍繞無線接入技術展開討論，通過對現有無線數據業務的分析比較，確定無線接入方式，實現移動方式的鐵路售票系統；研究鐵路無線售票系統所面臨的安全問題並提出相應的解決方案，在軟硬體結構設計中採用了一系列安全技術，並輔以科學的管理方法，使無線售票系統具備一定的安全防護能力。 -
The outer - contained parallel hexahedron smaller then that in the now existing document is presented according to the given point series, and the definition and solution model of smallest outer - contained cylinder are introduced
摘要根據已給點列，給出了比現有文獻更小的外包容平行六面體，並引進了最小外包容圓柱的定義、求解模型。 -
Way to find the solution of power series convergence radius
求冪級數收斂半徑的方法 -
On the probing of the solution convergence radius of power series
收斂半徑的兩種求法 -
The main conclusions with innovative features acquired from the present work are as follows : ( 1 ) soft solution processing technique for preparing functional thin films was put forward and applied to preparing advanced inorganic functional thin films ; a series of molybdate and tungstate films with scheelite - type were prepared directly on metal substrates ( molybdenum and tungsten foils ) by using constant current electrochemical technique at room temperature ; a series of titanate thin films with perovskite - type were synthesized directly on titanium flakes by hydrothermal method in our country for the first time
通過上述研究工作，得到了如下具有創新性研究成果： （ 1 ）首次在國內提出和運用軟溶液制備工藝技術進行無機功能薄膜材料的制備研究；首次在國內採用室溫恆電流電化學技術直接在金屬基底（鉬片和鎢四川大學博士學位論文片）制備了白鎢礦結構的鋁酸鹽、鎢酸鹽薄膜;首次在國內採用水熱合成技術在欽金屬片上直接沛叮備了鈣欽礦結構的欽酸鹽薄膜。 -
The solution s characteristic of the elliptic type eq uat ion and the system of elliptic type equations with first order are discussed by using the methods of several complex analysis. a series new extended results of t he soutions for the system of elliptic type equations are obtained
將一階橢圓型實方程和橢圓型實方程組轉化為橢圓型復方程和橢圓型復方程組，藉助于多元復分析的方法，研究了一階橢圓型方程和橢圓型方程組的解的特徵，得到了有關一階橢圓型方程組解的一系列新的延拓結果 -
The elastic foundation model is considered as two - parameter elastic foundation model and its effect to moderate - thick plates are taken into account by a set of governing differential equations. united with hu hai - chang ’ s function, least squares collocation weighted residual method which uses b - spline function as trial function is put forward for solving the bending problems. compare with the results of finite element method of lines, spline finite strip method, accurate solution of series etc. it is proved that the method in this article has adequate accuracy and practical feasibility
本文採用瑞斯納中厚板理論求解彈性地基板，建立雙參數地基與中厚板相互作用的控制微分方程，結合胡海昌的解耦函數，運用雙五次b樣條函數作為試函數的離散型最小二乘加權殘值法分析了雙參數地基上的中厚板的彎曲問題，並將結果與有限元線法、有限條法、級數精確解等進行比較，證明本文方法具有足夠的精確性與實際的可行性。 -
The differentiator series solution to euler equation
歐拉方程的微分運算元級數解法 -
Series solution of electric field intensity on perpendicular axis of elliptic charged ring
橢圓形帶電環垂直軸上的電場強度級數解 -
Ordinary differential equation, first order differential equations, 2nd order differential equations, power series solution of differential equation, laplace transform, fourier series and transform, matrix, eigen value problem, partial differential equation
常微分方程式、一階微分方程式、二階微分方程式、微分方程式級數解、拉氏轉換、復利葉級數與轉換、矩陣、本徵值問題、偏微分程式。 -
Using the complex potential method in the plane theory of elasticity of an anisotropic body, a series solution to the stress field of a finite plate containing multiple cracks subjected to arbitrary loads is obtained by means of the faber series expansion, and the stress intensity factors at the crack tips are calculated based on the theories of fracture mechanics. equivalence yield stress is introduced in order to consider the effects of the plastic zones, with which the strip yield criteria is developed in the article so that the effects of structural size and the crack interactions on the stress distribution can be considered accurately. the effects of plate size, crack size and crack distributions on the stress intensity factors as well as the residual strength of the plate are studied detailedly
採用各向異性體平面彈性理論中的復勢方法，以faber級數為工具，得到了含多裂紋有限大板在任意載荷作用下應力場的級數解，並應用斷裂力學方法確定裂紋尖端的應力強度因子；引入當量屈服應力考慮裂尖塑性區的影響，提出基於帶屈服準則的剩餘強度分析模型，能夠充分考慮結構尺寸和裂紋之間相互作用對應力場的影響；通過數值計算詳細討論了結構尺寸和裂紋之間位置關系對應力強度因子和結構剩餘強度的影響規律，得到了一系列對工程應用具有實用價值的結論。 -
Using the complex potential method in the plane theory of elasticity of an anisotropic body, the series solution of finite anisotropic thin plate containing an elliptical inclusion is proposed with the help of faber series. a hybrid element with an elliptical inclusion for anisotropic materials is obtained by using the hybrid variable principle, and the element efficiency is verified by numerical examples. the state of the damage is modeled by an elliptical soft inclusion, and using the point stress criterion based on characteristic curve and yamada - sun etc. criteria, the prediction of the strength of a composite laminate with damage is set up
首先基於經典層板理論，將復合材料層板的彈性問題化歸為均勻各向異性板來求解；採用各向異性體平面彈性理論中的復勢方法，以faber級數為工具，給出了有限大含橢圓核各向異性板彈性問題的級數解形式；利用雜交變分原理，成功導出含橢圓核各向異性板雜交應力有限元，並用算例驗證了該單元的可行性和有效性；採用含剛度折減橢圓形彈性核的沖擊損傷模型，引入基於特徵曲線和yamada - sun破壞準則的點應力判據，建立了含損傷復合材料層板剩餘強度的分析方法；通過數值計算詳細討論了各種幾何參數對損傷層板應力分佈、剩餘強度的影響，得到了一系列對工程應用具有實用價值的結論。 -
The series solution of the eccentric spherical capacitor ’ s capacitance has been obtained based on the bispherical coordinate system and strict derivetion, and through making programe to compute to get the numerical relation between the capacitance and the eccentrity, pionted out that the capacitance not let up but enlarged with the gain of eccentriccity
四、採用雙球坐標系嚴格求解了偏心球形電容器的電容。得到了它的級數解，求得了偏心球形電容器電容大小隨偏心度變化的規律，發現偏心球形電容器電容的大小並不是隨偏心率的增加而減小，而是隨偏心率的增加而增加的。 -
The article gives the results of rectangular moderate - thick plates under various length - width ratios and various thickness - width ratios and the results are compared with corresponding series solution about thin plates. at last the article gives a rough limitation between thin and thick plates according to the absolute values of their relative er -
本文最後計算了彈性地基上不同長寬比的中厚板在不同的厚寬比情況下的中點撓度值，並與薄板理論的級數精確解答進行比較，根據其相對的誤差絕對值，對彈性地基上薄板和中厚板嘗試進行了大致的界定。 -
Asymptotic series solution of the characteristic equation of corrugated circular waveguide
波紋圓波導特徵值的漸近解 -
The series solution for boundary value problem of nonhomogeneous harmonic equation with variable coefficient is obtained
使變系數非齊次調和方程邊值問題的求解有了新的進展。 -
The radius of convergence of power series solution to linear differential equations
關于冪級數收斂半徑的一個注記 -
Firstly, behavior and destroying mechanism of pile under inclined loads are systematically discussed based on summary of research on pile under inclined loads home and abroad, and then a power series solution for displacement and stress calculation of pile under inclined loads in layered soils is presented. based on the solution, the calculation of soil reaction force at the flank and bottom of piles, vertical and horizontal displacement of piles and maximal bending moment of piles is concluded
本文首先系統地回顧了國內外傾斜荷載樁研究工作，在此基礎上詳細討論了傾斜荷載下基樁的受力特性和破壞機理，從而導出了處于成層地基中的傾斜荷載樁的內力及位移分析的冪級數解，並以冪級數解的分析結果進一步導出了樁側及樁端土體抗力、樁身豎向及水平位移、樁身最大彎矩的計算方法。 -
Secondly, the two - dimensional hotibc was applied to the anisotropic coated bor. solutions for bistatic rcs based on a planar hotibc solution were compared to the mom solution or the mie series solution in isotropic case. accuracy and limitations of hotibc imposed by the finite radii of curvature on the bor such as sphere, and discontinues surface curvature such as cone - sphere were investigated
計算過程和結果與矩量法進行比較，討論了高階張量阻抗邊界條件在表面曲率半徑連續和不連續的三維目標上的應用精度和應用條件； 6 、給出多層介質塗敷平面、球面和半球面結構雷達吸波材料優化設計的統一表達式。
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