運算微積分 的英文怎麼說

中文拼音 [yùnsuànwéijīfēn]
運算微積分 英文
operational calculus
  • 運 : Ⅰ動詞1 （物體位置不斷變化） move; revolve 2 （搬運; 運輸） carry; transport 3 （運用） use; wield...
  • 算 : Ⅰ動詞1 （計算數目） calculate; reckon; compute; figure 2 （計算進去） include; count 3 （謀劃;計...
  • 積 : Ⅰ動詞（積累） amass; store up; accumulate Ⅱ形容詞（長時間積累下來的） long standing; long pending...
  • 分 : 分Ⅰ名詞1. （成分） component 2. （職責和權利的限度） what is within one's duty or rights Ⅱ同 「份」Ⅲ動詞[書面語] （料想） judge
  • 運算 : [數學] operation; arithmetic; operating
  1. When calculous was at it ' s initial stage, newton computed the integral by contradictorily operation of differential, leibniz used the " tiny elements " method

    在微積分的初創時期， newton通過微分法的逆運算，即「反流數術』來解決求積問題，而leibniz則採用「微元法』 。
  2. And it is nothing other than the new philosophy of the nature whose characteristics are the quantification of substance and the mechanization of the movement that defends the existence and the property of this quantum second, the quantification of substance and the mechanization of the movement which are emphasized by the new philosophy of the nature offers a intuitionistic continuun which takes the extension of the space - time for the birth of calculous

    正是以物質的數量化和運動的機械化為特徵的新的自然哲學為這種量的存在及性質（特別是拓撲性質）和程序化的演算法提供辯護。其次，新的自然哲學所強調的物質的數量化和運動的機械化為微積分的產生提供了以時空廣延為模型的直觀連續統。
  3. The operation that is the inverse of differentiation is called integration.

    與微分相反的運算叫做積分。
  4. 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。
  5. The content of this thesis comes from the fujian natural science found following research task 。 it studies on a space cantilever single beam attached to a moving support 。 inertia forces which are brought by the support ' s movement ， are acceded to the equivalent initiative forces and the equivalent initiative moments 。 when we consider the relation of the forces and deformation ， we change the method of material mechanical analysis to the elastic mechanical analysis 。 further more ， we discusses the feasibility of the method which uses the multi - rigid - body discrete model to simulate the dynamic characteristic of a elastic body 。 first ， the finite segment method is adopted to establish the models of the beam 。 based on kane ' s equations ， dynamic math - model for the beam are derived 。 and by use of c - language and runge - kutta procedure ， the computer - oriented procedure can give the whole responses of the beam 。 second ， with compare to the numerical examples ， the method which uses the multi - rigid - body discrete model to simulate the dynamic characteristic of a elastic body which is under the condition of movement is verified to be feasible 。

    本論文為福建省自然科學基金后續研究課題，以已知支撐運動的單個空間懸臂梁為對象，在等效主動力與等效主動力矩中加入支撐轉動引起的慣性力，並在考慮力與變形關系時，用更一般的彈性力學分析代替材料力學分析，進一步研究用多剛體離散模型來模擬其動力學特性的可行性。首先，用有限段建立機械臂的多剛體離散模型，用kane動力學方法建立其動力學方程。並用c語言編制演算法程序，採用了四階runge - kutta積分程序求解微分方程組，給出構件的全部動態歷程。
  6. On [ a, b ] the product l = l2 lt of operator l { and l2 is selfadjoint if and only if 4

    討論一類兩個四階對稱微分算式生成的積運算元的自伴性； 4
  7. Equation ( 4 ) is said to belong to limit circle type if all solutions of equation ( 4 ) belong to l ~ ( 2 ) ( simply denoted by l. c. ) equation ( 4 ) is said to belong to lagrange stable if all solutions of equation ( 4 ) belong to ( simply denoted by l. s. ). in chapter 4, we study criteria for the linear nonhomogeneous differential equation belonging to the limit circle type

    方程（ 』 ）稱為極限圓型的，若方程（ 』 ）的所有解都屬于護[ a ， co ） （簡記為l . c . ） ;方程（ 』 ）稱為拉格拉日穩定，若方程（ 』 ）的所有解均屬于lco [ a ， co ） （簡記為l . s . ） .由於方程（ 』 ）解的平方可積性及有界性的研究在微分運算元理論、按微分方程的特徵函數展開理論以及無界區間上受控系統的最佳控制理論等方面具有重要應用
  8. The work on seasonal dynamics of litter input and decomposition and the relationship between them and environmental factors was studied through the method of harvest and weight loss. soil respiration rate was measured by alkali - absorption method and the contribution from soil microorganism respiration and from root respiration was determined through trendline method of linear regression between soil respiration rate and belowground biomass. mathematical models were established between the seasonal dynamics of main components of soil total respiration including soil respiration, root respiration, soil microorganism respiration, litter respiration and environmental factors

    應用收獲法和重量損失法對枯枝落葉輸入與分解的季節動態及其與環境因子的關系進行了研究；應用靜態氣室法測定了土壤總呼吸和凋落物呼吸，應用土壤呼吸量與地下生物量線性回歸趨勢線法測定了土壤微生物呼吸及根呼吸的貢獻量，運用相關分析法建立了土壤總呼吸、根呼吸、土壤微生物呼吸及其凋落物呼吸季節動態與環境因子之間的數學模型；應用灰色分析比較了兩群落土壤呼吸季節動態產生差異的原因；應用干重換演算法對土壤微生物能量積累量的季節動態進行了測定，建立了土壤微生物能量積累量與環境因子的數學模型；應用系統分析方法，利用分室模型，對兩群落枯枝落葉與微生物之間的能量流動進行了定量測定和穩定性分析。
  9. This text completely and systematically studies the status and the development of the pyrolysis and the fluidization of biomass, which distill the bio - oil in the domestic and international area, as well as the existing problems. this thesis primarily include following aspects : ( l ), by experimenting and measuring the energy ( heat value ) and the content of c, h, n chemical element of right 20 kinds of common biomass, on the base of the experimental result, and respectively established the biomass energy predict experiment formula with the element of h and c is from change, and passed the ro. os examination, which provides the basis and convenience for flash pyrolysis fluidization device energy to convert the rate to compute with biomass energy utilization calculation ; ( 2 ), proceeded the tg and dtg experimentation equal velocity ( 10 ? / min, 20 ? / min, 40 ? / min, 60 ? / min ) heating and constant temperature heating by studying on eight kinds of biomass samples, according to the experimental data and arrhenius formula, we established the dynamics model of pyrolysis of, then, using the goast - redfern and p function, we also solved the dynamics parameters and analyze out every kind of biomass ' s frequency factor and parameters of activation energy, and established the every kind of dynamics model of pyrolysis of biomass, all of these provide the theories and basis to make sure the reactor ' s flash pyrolysis work temperature scope design and the describing of pyrolysis reactor dynamics ; ( 3 ), in order to study and ascertain the process of heat completely getting to pyrolysis time of varied size biomass particles, we observed and measured the ratio of length and diameter ( l / d ) with the varied biomass through electron microscope, we concluded the l / d ratios usually is from 5. 0 to 6. 0, the average is 5. 3 ; ( 4 ), we studied the process of biomass transiting and the theory of complete pyrolysis time with the theory of complicated heat field, we got the time ( t ) of the varied size biomass particles arriving to complete pyrolysis, and we knew that the complete pyrolysis time and the time which get to the biggest production ratio are identical, all of these studies provide the theory base for design and forecasting the flash pyrolysis reactor solid state resort time ; ( 5 ), according to the above experiment result, synthesize to make use of the engineering the mechanics, engineering the material, machine the design to learn the principle, deduce, establish the theory of rotation cone flash pyrolysis reactor material resort time ( t ) and reasonable rotation velocity ( or frequency ) relation theory ; and ( 6 ), we gave the reactor ' s smallest cone angle certain, reactor cone wall strength design theory, the reactor production ability theory, the power design method and the critical rotation velocity theory

    本文較全面、系統地綜述了國內外生物質熱解液化制取生物燃油技術研究發展現狀及存在的問題，主要研究內容有： （ 1 ）實驗、測定了20種常見生物質的能量（發熱量）和c 、 h 、 n元素含量，根據實驗結果分別建立了以h和c為自變量的生物質能量預測經驗公式，並通過r _ （ 0 . 05 ）檢驗；為閃速熱解液化裝置能量轉化率計算和生物質能量利用率計算提供了依據和方便； （ 2 ）選擇了8種生物質試樣作了等加熱速率（ 10 min 、 20 min 、 40 min 、 60 min ）和恆溫加熱的tg和dtg實驗，根據實驗數據和阿倫尼烏斯公式建立了生物質熱解反應動力學微分方程，並採用goast - redfem積分法和p函數對其動力學參數進行了求解，解析出各種生物質的頻率因子和活化能參數，進而建立了各種生物質的熱解動力學模型，為科學確定反應器的閃速熱解工作溫度范圍及熱解反應動力學描述，提供了理論和依據； （ 3 ）為研究和確定不同尺度的生物質顆粒中心達到全熱解的時間，在體視顯微鏡下對不同粒度的生物質顆粒的長徑比進行了實驗觀察和測定，得出生物質的長徑比（ l d ）一般在5 . 0 6 . 0之間，平均為5 . 3的結果； （ 4 ）採用復雜溫度場傳熱學理論對生物質傳熱過程及充分熱解時間理論進行了研究，解析推導出了不同尺寸生物質顆粒中心溫度達到充分熱解溫度的時間（ t ） ，得出了理論推導的充分熱解時間與最大產油率的熱解時間相一致的結果，為閃速熱解反應器固相滯留時間設計和預測提供了理論依據； （ 5 ）根據上述實驗結果，綜合運用工程力學、工程材料、機械設計學原理，推導、建立了轉錐式閃速熱解反應器物料滯留時間（ ）與轉速（或頻率）合理匹配理論； （ 6 ）提出了轉錐式閃速熱解反應器的最小錐角設計、錐壁強度設計、生產能力設計理論和功率計算方法及臨界轉速理論等。
  10. As the applications of mixed monotone operators theory, some classes of equations are considered. some initial value problems and boundary value problems for mixed monotone nonlinear impulsive integro - differential equations and nonlinear elliptic equations are discussed. some known results are generalized under weak conditions. and initial value problems and periodic boundary value problems for mixed monotone nonlinear impulsive evolution equations are discussed by mixed monotone operators theory with considering the main properties of operator semigroup. the sufficient and necessary conditions for existence and uniqueness of their solution and coupled solution are obtained

    作為混合單調運算元理論的應用，本章討論了非線性混合單調脈沖積微分方程和混合單調非線性橢圓方程方面的一些問題，不同程度地削弱了原有的條件，推廣了已知的結果；還利用錐理論並結合運算元半群的性質及其主要特徵討論了非線性脈沖發展方程初值問題、周期邊值問題，給出了混合單調非線性脈沖發展方程的耦合周期解以及存在唯一解的充要條件。
  11. The various functions inside the virtual spectrum analyzer introduced in the paper is time domain wave analysis, fft transfer, ifft transfer, cross analysis, and so on, which are all described in function controls. finally, this paper introduce the assemble of intelligent controls - oriented virtual instrument. and use classical signals and industrial practices to demostrate the accurate of virtual spectrum analyzer

    本文介紹的智能控制項化頻譜分析儀所具備的功能，有信號的時域分析、 fft變換以及ifft反變換、信號的微積分運算、信號的頻譜分析、信號自功率譜密度函數計算、信號互功率譜密度函數計算、頻率響應函數計算和相干函數計算，都是集成在功能控制項裏面的。
  12. Matrices, vector and vector calculus, newtonian mechanics - single particle, oscillations, nonlinear oscillations and chaos, gravitation, some methods in the calculus of variations, hamilton ' s principles lagrangian and hamiltonian dynamics, central - force motion, dynamics of a system of particles, motion in a noninertia reference frame, dynamics of rigid body

    矩陣和向量的計算、單一質點的牛頓力學、線性與非線性的振動運動、重力、微積分上的變分法介紹、哈密頓原理、拉氏及哈氏力學、連心力下的運動、質點系的運動力學、在非慣性座標中的運動、剛體的運動。
  13. On self - adjointness of the product of three second - order differential operators

    三個二階微分運算元積的自伴性
  14. Professor guo dajun has summarized in his work [ 7 ]. such several important tasks and theirs application of nonlinear functional analysis as typical nonlinear operators, hammerstein integral operations, ordinarily and partially differential equations. the cone theory, the positive solutions of nonlinear operator equations, the number and the branch of solutions, and so on. reference [ 1 ] includes all levels of results of the domain such as nonlinear functional analysis

    郭大鈞先生在專著[ 7 ]中對非線性泛函分析的幾個重要課題及其應用，諸如典型的非線性運算元、 hammerstein積分方程、常、偏微分方程、遷移方程、錐理論及非線性運算元方程的正解、非線性運算元拓撲度和不動點定理以及固有值、解的個數與分支，都做了系統的概括和總結
  15. 5. on [ a, b ] the product l = l3l2l { of operator lltl2 and l3 is selfadjoint if and only if a and l2 is selfadjoint. 6

    討論三個正則的s - l運算元積的自伴性和一個s - l運算元與一個四階微分運算元積情形。
  16. So, based on previous research achievement and the knowledge regarding molecular movement and calculus and numerical value analysis, practical calculating method is set up in this paper : 1

    因此本文在已有研究成果的基礎上，利用分子運動論、微積分、數值分析等相關知識，建立了實用的鋼筋初始銹蝕時間的計算方法： 1
  17. Seismic wave field modeling with convolutional differentiator algorithm

    地震波場模擬中的褶積微分運算元法
  18. In this paper, by estimates of spectral of an integral operator, the authors give a theorem on the existence of solutions for first order differential difference equations with boundary condition

    摘要通過對積分運算元譜的估計，作者給出了一階線性微分差分方程在邊值條件下解的存在唯一性定理。
  19. The solution to these problmes will not only enrich singular integral operator theory and function space theory, but also push on the research of partial differential equations

    這些問題的解決不僅會極大的豐富奇異積分運算元理論和函數空間理論，而且會對偏微分方程的研究起到推動作用。
  20. The precise integration method of differential equation was presented by using 2 algorithm, its numerical precision was also analyzed

    運用指數矩陣的2 ~ n類演算法，構造了微分方程的精細積分演算法，並分析了計算精度。
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