integral and differential 中文意思是什麼

integral and differential 解釋
積分和微分
  • integral : adj 1 完全的；缺一不可的，主要的。2 【數學】整的，積分的。n 全體，整體；【數學】積分。 definite i...
  • and : n. 1. 附加條件。2. 〈常 pl. 〉附加細節。
  • differential : adj 1 差別的，區別的；特定的。2 【數學】微分的。3 【物、機】差動的，差速的，差示的。n 1 （鐵路不...
  1. The branch of mathematics known as integral and differential calculus serves as a natural and powerful tool for attacking a variety of problems that arise in physics, astronomy, engineering, chemistry, geology, biology, and other fields including, rather recently, some of the social sciences

    以微積分而著稱的這一數學分支，作為一個自然的強有力的工具解決物理、文、工程、化學、天地質、生物以及包括較為近期的某些社會科學等領域出現的各種問題。
  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. Some applications of differential and integral calculus in elementary mathematics

    微積分在初等數學中的一些應用
  4. Collisonal quantum interference ( cqi ) was observed in the intramolecular rotational energy transfer in the experiment of the static cell, and the integral interference angles were measured. to observe more precise information, the experiment in the molecular beam should be taken, from which the differential interference angle can be obtained precisely. in this paper, the theoretical model of cqi is described in an atom - diatom system in the condition of the molecular beam, based on the first - born approximation of time dependent perturbation theory, taking into accounts the anisotropic lennard - jones interaction potentials. the method of observing and measuring correctly the differential interference angle is presented. the changing tendencies of the differential interference angle with the impact parameter, velocity, and et al. are discussed

    分子內部轉動傳能的靜態池實驗觀察到了碰撞量子干涉效應（ cqi ） ，並且測得積分干涉角，為了獲得更加精確的分子內部轉動傳能的碰撞量子干涉效應信息，實驗就必須要採用分子束實驗進行.本文理論上採用各項異性相互作用勢，應用含時微擾理論的一級波恩近似，假想在分子束實驗的條件下，建立在原子-雙原子分子體系中碰撞量子干涉的理論模型.理論上推導出微分干涉角具體表達式，通過計算定性地討論了微分干涉角隨著碰撞參數、速率等的變化趨勢，同時初步探討了實驗的正確觀測途徑，得出了採用分子束進行實驗觀測的實驗方法，為進一步進行分子束實驗提供了理論基礎，對實驗的進行起到了一定的借鑒作用
  5. It is nothing else than the division, the summing and the ratio of the intuitionistic continuun that become the basic manner in which newton and leibnitz established their universal differential coefficient and integral arithmetic

    正是對這個直觀連續統的分割、求和、求比成為牛頓和萊布尼茨建立他們的普遍的微分和積分演算法的基本方式。
  6. Lagrange multiplicator method is introduced in the numerical computation to release the constraint. galerkin method based on the variation principle is used to solve differential and integral equations

    Galerkin方法是基於變分原理基礎上的一種把微分方程或積分方程轉化為等價的變分方程，通過離散變分方程求原方程數值解的方法。
  7. The third, after theoretically analyzing, the following practicable methods are put forward : 1 ) automatically pick - up the synchronous information by analyzing the spectrum of intercepted video - leaking information ; 2 ) realizing the phase lock and the electronic image stabilization by integral - projection and differential - positioning ; 3 ) improving the effect of accumulation mean filter and the pectination filter by using electronic image stabilization ; 4 ) automatically adjusting image acquisition parameters by detecting the image entropy, therefore the quality acquired image is improved ; 5 ) to realize the quantitative test of a leaking extent, a standard test picture was designed. finally, a proto type for leaking information processing based on our techniques mentioned above and the virtual instrument principle was designed and tested

    在理論分析的基礎上，提出了以下的實用技術： 1 ）用譜分析方法從截獲的信息中自動提取同步信息； 2 ）用積分投影、微分定位的方法進行相位檢測，實現可靠的鎖相和電子穩像； 3 ）將電子穩像技術用於重加濾波和梳狀濾波的濾波方法，改進了濾波效果； 4 ）通過檢測圖像信息熵實現圖像採集參數的自動調整，改進了圖像採集的質量； 5 ）設計了用於儀器定標的標準測試圖，可以對泄漏信息進行定量檢測。
  8. Adopted numerical value integral method into the explain of the basic heat - conduct differential equation based the stabilization flow. get temperature changes rule of the cold - blowing and hot - blowing period of the cold - cumulating and dry - able tin

    採用數值積分法對基於穩定流的基本傳熱微分方程組進行求解，進一步了解了影響蓄冷器效率的主要因素。
  9. We reduce the cauchy problem of equations ( 8 ), ( 9 ) to an equivalent integral equations by the fundamental solution of a second order partial differential equation. then using the contraction mapping principle and the extension theorem of the solution we prove the existence and uniqueness of the global generalized solutions and the existence and uniqness of the global classical solution

    先是通過一個二階偏微分方程的基本解，把imbq型方程組歸） ， p ）的初值問題轉化為等價的積分方程組，然後利用壓縮映射原理、解的延拓定理等證明了歸） ，問的初值問題的整體廣義解和整體古典解的存在唯一性
  10. Concentrating on security analysis and design of block ciphers, five principal achievements have been obtained in this dissertation : 1. using differential - nonlinear cryptanalysis, truncated differential - linear cryptanalysis and integral cryptanalysis respectively, three attacks of reduced - round safer + + are given ; 2. based on the survey of provable security and practical security of block ciphers, a block cipher model of spn cipher containing feistel structure is proposed

    分別利用差分-非線性密碼分析、截斷差分-線性密碼分析、積分密碼分析三種不同的密碼分析方法，對safer + +進行了密碼分析； 2在對分組密碼的可證明安全性和實際安全性研究的基礎上，提出了一個嵌套feistd結構的sp型分組密碼的模型。
  11. And by far, most theories of wavelet analysis are established in, but this method is rare to be known and exists defects in the reproducing kernel space with good properties. then in the reproducing kernel space, isometric isomorphism of relation is founded between and by differential operator. and starting from the haar basis, multi - resolution analysis inis gived by folding method ; then multi - resolution analysis and orthonormal wavelet in are obtained through integral transform from to. then the reproducing kernel space can be expressed by wavelet spaces

    於是，在再生核空間中，利用積分運算元建立了空間與hilbert空間的等距同構關系；並且從haar小波出發，由折疊法實現的空間中多尺度分析通過積分變換得到中多尺度分析和正交小波，使得再生核空間可以由小波空間來刻劃；從而對空間中的函數，給出了小波逼近具體表達式和相應的采樣公式，形式簡單易於數值分析。
  12. The general integral of the original differential equation and making the formule for elementary transcendental function

    微分方程的通積分與初等超越函數公式的推導
  13. In this paper, to resolve the coupling phenomena between temperature and humidity in wood drying system, a bp neural network based pid controller is proposed and applied to wood drying system. the architecture and learning algorithm of the proposed controller is more simpler and the physical meanings of the input layer ' s neurons and output layer ' s neurons are explicit. based on predefined control rules and self - learning, the bp network changs the scaling integral and differential parameters, therefore is able to control the variants using classical pid control algorithms and at the same time, decoupling control is implemented as well during the control procedure

    本文針對木材幹燥過程中溫、濕度耦合的現象，提出一種將新的基於bp神經網路的pid控制器應用於木材幹燥控制系統的方案，其結構和學習演算法相對簡單，輸入層和輸出層神經元物理意義明確；它根據設定的某一控制規律，通過網路的自學習，調整pid控制器的比例、積分和微分參數，從而利用經典的pid控制演算法得到相應各變量的控制量參與控制，並在該過程中實現解耦控制，而不用給定樣本信號進行在線的學習。
  14. Nonlinear functional analysis is a subject. old but fashionable. its abundant theories and advanced methods are providing powerful and fruitful tools in solving ever increasing nonlinear problems in the fields of science and technology. though the theories of integral and differential equations in banach spaces, as new branches of nonlinear functional analysis. have developed for no more than thirty years, they are finding extensive applications in such domains as the critical point theory, the theory of partial differential equa - tions, eigenvalue problems. and so on, are attracting much more attentions from both pure and applied mathematicians

    非線性泛函分析是一門既悠久又現代的學科，它的豐富理論和先進方法為解決當今科技領域層出不窮的非線性問題提供了卓有成效的工具，作為自非線性泛函分析中衍生發展起來的新的分支， banach空間微分方程和積分方程理論雖經歷了不足三十年的發展過程，然而它已被廣泛應用於諸如臨界點理論，偏微分方程理論，特徵值問題等許多領域，其重要性日益凸現出來
  15. Under the integral control mode, the same simulation results are got with the difference integral and differential coefficient when the step load happens

    在積分控制工作方式下，取不同的積分、微分系數，在負載階躍變化時得到了與模擬控制相同的模擬波形。
  16. It is well known that the integral and finite difference inequalities play a fundamental role in the development of the theory of differential and finite difference equations

    積分不等式和離散不等式在研究微分方程與有限差分方程理論過程中具有非常重要的作用。
  17. The last chapter further talks about the existence and uniqueness of the periodic solutions of a n - dimensional neutral integral and differential equation with infinite delay

    最後一章進一步討論了一類n維無窮時滯中立型積分微分方程周期解的存在唯一性。
  18. This paper mainly discusses the periodic solutions of some integral and differential equations with infinite delay. the studies of the existence and uniqueness of the periodic solutions and the stabilities of these equations have attracted great concern in recent years and many good results have been obtained. this paper has further extended these conclusions on the foundations of them, and obtained some new results with the method of exponential dichotomy, fixed point theorem and liapunov functional respectively

    本文主要討論具有無窮時滯積分微分方程的周期解。對于這類方程周期解的存在唯一性和穩定性的研究近年來已經引起人們極大的關注，也得到了若干很好的結果。本文主要是在這些結果的基礎上將已有結論做了進一步的推廣，分別用指數型二分性，不動點定理， liapunov泛函的方法得到一些新的結論。
  19. This paper has four parts. the first chapter gives the origin of the problem and some related preliminary knowledge. the second chapter discusses and proves the existence and uniqueness of periodic solutions and stability of a neutral integral and differential equation with infinite delay in detail. the third chapter discusses and proves the stability of a perturbing n - dimensional volterra integral and differential equation

    前言部分介紹了問題的提出和相關的預備知識。第二章詳細論證了一類具有無窮時滯中立型積分微分方程周期解的存在唯一性和穩定性。第三章用liapunov泛函論證了一類具有擾動的n維volterra型積分微分方程的穩定性。
  20. In particular, its application to partial differential equation, which is concerned by more and more mathematicians, is a very active branch in mathematics research at present. for example, the calderon - zygmund operators of the third era and t ( 1 ), t ( b ) theorem offer the theoretic base of potential method to solve a class of elliptic boundary problems in non smooth domains [ 46 ] ; on the other hand, the lp - lq estimates and space - time estimates of the linear evolution equations offer the nonlinear evolution equations new work spaces, which is established by the estimates of oscillatory integral and potential

    例如第三代calderon - zygmund運算元及t （ 1 ） ， t （ b ）定理，對于非光滑區域上的一類橢圓邊值問題，提供了用位勢求解的理論基礎[ 46 ] ；又如以振蕩積分估計及位勢估計為基礎，建立線性發展方程的l ~ p - l ~ q估計以及相應的時空估計，為研究發展型方程提供了新的工作空間，這方面的工作參見t
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