integral boundary 中文意思是什麼
integral boundary
解釋
整數界限, 整數邊界-
We analyze every kind of terms of extremum, and proceed the early integral calculus and analyze the boundary terms
分析了模型取極值的各種條件，對模型進行初積分處理並分析了邊界條件。 -
Novel regularized boundary integral equations for potential plane problems
位勢平面問題的新的規則化邊界積分方程 -
An integral formula for bounded domain with piecewise smooth boundary in cn
空間中具有逐塊光滑邊界的有界域上光滑函數的積分表示 -
Monotone iteration method and upper and lower solutions were used to approach to the solution of the first - order integral boundary value problem on time scales form below and above by monotone convergent sequence
摘要運用單調迭代方法和上下解方法構造了兩個單調序列，從上下兩個方向分別收斂到一階積分邊值問題。 -
4. with visco - elastic boundary of soil considered, the eigenvalue equation in frequency domain of soil dynamic equilibrium equation falls into a complex transcendental equation. in course of seeking its solution, based on argument principle and contour integral, with the aid of matlab, two numerical algorithm combined with the corresponding procedures for solving transcendental equations in a complex plane is developed by the author
4 、由於考慮了土體的粘彈性支承邊界條件，使得其動力平衡方程在頻域內的固有值方程為一復數超越方程，為了求解該方程，筆者基於幅角原理和閉合曲線積分，結合matlab ，提出了復平面上超越方程的兩種數值解法，並編制了相應的程序。 -
First, in virtual of identification of flaws is a typical of in - verse problems, proceeding from time - harmonic electromagnetic maxwell ' s equa - tion and helmholtz equation, the uniqueness and existence of direct scattering problems including the numerical algorithms of diverse of boundary conditions is given. second, the uniqueness and existence of inverse scattering problems and the theory of ill - posed integral equation are briefly looked back upon. finally, indicator function method for boundary identification is set up under all kinds of boundary conditions for inverse scattering of homogenous and inhomogenous objects, meanwhile, the proof of possibility for near - field measurements and nu - merical simulation are given
由於缺陷的識別是一類典型的反問題，因而首先從時諧電磁maxwell方程和helmholz方程出發，具體地闡述了求解正散射問題的有關方法，包括各種（夾雜）邊界條件下的數值解法，就解的存在性唯一性給予了肯定的回答；隨后對逆散射問題的理論作了簡短的回顧，包括解的唯一性以及非線性不適定積分方程的處理等；然後對均勻介質和非均勻介質的逆散射問題建立了在各種邊界條件下的邊界識別的指示函數方法，鑒于近場數據獲得的重要性，對近場測試時邊界識別的方法給予了相應的證明，並且實現了數值模擬。 -
A simply and analytical formula of the axial light intensity distribution behind a circular aperture is derived by using the helmhotz - kirchhoff integral theorem and the kirchhoff ' s boundary conditions. it is studied the nonparaxial on - axis intensity distribution throughout the whole space behind a circular aperture. an accurate formula to calculate the fresnel number of circular aperture is presented and the validity of usual fresnel number formula is reexamined. by using the analytical formula and diffraction integral formula, some numerical simulation comparisons are done, and it is shown that the results of the two methods are completely coincident
用亥姆霍茲-基爾霍夫積分定理和基爾霍夫邊界條件，推導出了平面波經小圓孔非傍軸衍射時軸上強度的簡單解析表達式，研究了平面波經小圓孔后整個衍射空間非傍軸的軸上光強分佈.給出了計算圓孔菲涅爾數的精確公式，重新檢查了通常的菲涅爾數公式的有效性.數值計算顯示，應用解析表達式所得的結果與應用衍射積分公式所得的結果完全一致 -
The main original work is as the followings : 1. longitudinal vibration of an integral pile in an uniform soil with end bearing boundary or elastic bottom boundary undergoing vertical harmonic load is theoretically investigated
主要工作如下： 1 、分別對均質土中完整端承樁和彈性支承樁在垂直諧和激振力作用下的縱向振動特性進行了研究。 -
Fourthly, the solutions for non - axisymmetical dynamic responding of elastic circular plate ( thin and thick plate ) rested on transversely isotropic saturated half - space / layered ground subjected to arbitrary harmonic loading are presented. under the contact conditions, the problem leads to a pair of dual integral equations which describs the mixed boundary - value problem
首先建立直角坐標系下波動問題的狀態方程，經雙重fo吐er變換求解狀態方程后得到傳遞矩陣:利用遞矩陣給出直角坐標系下層狀橫觀各向同性飽和地基在任意分佈簡諧荷載作用下穩態動力響應的一般解。 -
Finally, in the third section, by constructing some functional which similar to the conservation law of evolution equation and the technical estimates, we prove that in the inviscid limit the solution of generalized derivative ginzburg - landau equation ( ggl equation ) converges to the solution of derivative nonlinear schrodinger equation correspondently in one - dimension ; the existence of global smooth solution for a class of generalized derivative ginzburg - landau equation are proved in two - dimension, in some special case, we prove that the solution of ggl equation converges to the weak solution of derivative nonlinear schrodinger equation ; in general case, by using some integral identities of solution for generalized ginzburg - landau equations with inhomogeneous boundary condition and the estimates for the l ~ ( 2 ) norm on boundary of normal derivative and h ~ ( 1 ) ' norm of solution, we prove the existence of global weak solution of the inhomogeneous boundary value problem for generalized ginzburg - landau equations
第三部分：在一維情形，我們考慮了一類帶導數項的ginzburg ? landau方程，通過構造一些類似於發展方程守恆律的泛函及巧妙的積分估計，證明了當粘性系數趨于零時， ginzburg ? landau方程的解逼近相應的帶導數項的schr （ ? ） dinger方程的解，並給出了最優收斂速度估計；在二維情形，我們證明了一類帶導數項的廣義ginzburg ? landau方程整體光滑解的存在性，以及在某種特殊情形下， gl方程的解趨近於相應的帶導數項的schr （ ? ） dinger方程的弱解；在一般情形下，我們討論了一類ginzburg ? landau方程的非齊次邊值問題，通過幾個積分恆等式，同時估計解的h ~ 1模及法向導數在邊界上的模，證明了整體弱解的存在性。 -
Boundary integral equation of electromagnetic field with line current element of external source
存在外源線電流元的電磁場邊界積分方程 -
Two - layer model integral method for turbulent boundary layers
湍流邊界層的兩層模型積分法 -
The stability of cauchy singular integral when the integral curve has a smooth perturbation is discussed in our first partition ; we apply some results of the first partition to the second partition and solve the stability of the solution to the cauchy singular integral equation. finally, on the basis of the stability of the cauchy type integral, we study the stability of the solution to the riemann boundary value problem when the contour perturbs smoothly
在第一部分中，我們主要討論了cauchy奇異積分在積分曲線發生光滑擾動時的穩定性問題；而在第二部分中，我們把第一部分的結果應用到cauchy奇異積分方程，導出了其關于積分曲線攝動的穩定性的研究及其一些結果；最後，在第三部分中，我們在研究cauchy型積分關于積分曲線的穩定性問題的基礎上，探討了riemann邊值問題的穩定性問題。 -
The main work includes : based on biot ' s dynamic consolidation equations, by the method of integral transform and matrix transfer, two - dimensional consolidation of layered saturated soils is studied. then, the general integral solutions of stress ( including pore pressure ) and displacement ( including fluid flow ) of any point were obtained under harmonic vibration loads according to staunch boundary condition. second, a program to verify the correctness of this dissertation is developed
主要工作有：本文根據biot平面動力固結方程，運用積分變換和矩陣傳遞的方法，研究了成層飽和地基的二維biot固結問題，根據下邊界為不透水基巖的邊界條件，獲得了地基表面作用簡諧振動荷載時，任意點應力（包括孔壓） 、位移（包括流體流量）的一般積分形式解。 -
The explicit formulas for the second type of hua domain and two types of generalized exceptional hua domain are obtained in the first chapter of this article : whether a domain is complete with respect to bergman distance is studied in the second chapter of this article, and we prove super - cartan domains which are special types of hua domain are complete with respect to bergman distances ; the integral representation for the first type of super cartan domain which is based on its characteristic boundary is got in the third chapter of this article : a sufficent and necessary condition that a bounded domain in cn is biholomorphic to the classical domain is given in the fourth chapter of this article
第一部分給出第二類華羅庚域和兩類廣義例外華羅庚域的bergman核函數的顯表達式；第二部分研究bergman度量的完備問題，證明了超cartan域（一種特殊的華羅庚域）關于bergman度量完備；第三部分給出了第一類超cartan域的建立在其特徵邊界上的積分表示公式；第四部分則給出了c ~ n中的有界域全純等價于典型域的充要條件。 -
The subsection integral is used to get a simple function at first in the numerical calculation, and boundary integral is realized by gauss integral on each panel and line, then the complexity and isstability as a result of the high frequency surge function can be avoided
數值計算中，首先採用分部積分對被積函數進行簡化處理，然後採用高斯積分實現面元和線元上的積分，避免了被積函數為高頻振蕩函數所帶來的數值計算的復雜性和不確定性。 -
From mathematical models for inverse scattering in two dimensional inho - mogenous media including variable impedance, all kinds of probable mixed variable impedance boundaries and cracks, from interior and exterior trans - mission problems and radiation condition, ill - posed integral equation and indicator function method are formulated for the diverse of boundary iden - tification. it is shown that the kernel of the integral equation characters the boundary of scatterer, which is determined by solving it by virtual of regularity method, meanwhile, some numerical tests are given. 3
在二維非均勻介質逆散射邊界識別的數學模型（包括一般的非均勻介質，正交各向異性介質，變阻抗介質，各種可能的混合變阻抗邊界問題）下，由內透射問題和外透射問題以及輻射條件，推導了上述介質的邊界識別的積分方程和指示函數方法，由於積分方程的核充分表徵了散射物的邊界，由此說明只要利用正則化方法求解該積分方程，就可以確定散射物的邊界。 -
From mathematical models for inverse scattering in two dimensional homoge - nous media including dirichlet, neumann, robin, all kinds of probable mixed boundaries and cracks, direct and inverse scattering are discussed, and ill - posed integral equation and indicator function method are formulated for the diverse of boundary identification. it is shown that the kernel of the integral equation characters the boundary of scatterer, which is determined by solv - ing it by virtual of regularity method, meanwhile, some numerical tests are given. 2
在二維均勻介質逆散射各種邊界識別的數學模型（包括dirichlet ， neumann ， robin ，各種可能的混合邊界問題，裂紋問題）下，分別考慮了正散射問題和逆散射問題，推導了上述各種邊界識別的不適定積分方程以及指示函數方法，由於積分方程的核充分表徵了散射物的邊界，由此說明只要利用正則化方法求解該積分方程，就可以確定散射物的邊界，並給出了一些數值實驗。 -
An integral boundary layer method based on the dissipation integral is used to account for viscous effects
考慮附面層影響，通過粘/位迭代得到跨音速翼/體的非定常氣動力。 -
In part ii, by the same way, we consider first - order impulsive differential equations with integral boundary value problems
在第二部分中，同樣的方法，我們討論了一階脈沖微分方程積分邊值問題。
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