近似微分 的英文怎麼說

中文拼音 [jìnsìwéifēn]
近似微分 英文
approximate differential
  • 近 : Ⅰ形容詞1 （空間或時間距離短） near; close 2 （接近） approaching; approximately; close to 3 （親...
  • 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
  • 近似 : approximate; similar; approach; approximation; roughness; propinquity
  1. 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
  2. Applying the results to optimal controller to realize the minimizer of the cost function of mkdv - burgers equation under neumann and dirichlet boundary control. secondly, using inertial manifold and approximate inertial manifold theory, the approximate inertial manifold under fourier bases is given and we construct a set of odes of three modes to obtain the long - time dynamic behavior

    其次，利用慣性流形和近似慣性流形理論，給出mkdv - burgers方程在fourier基下的近似慣性流形，並且把這一方程所確定的無窮維動力系統約化為一組三模態下的常微分方程組，從而研究這一方程所確定的動力系統的長期動力學行為。
  3. We must seek two main approximation methods of solution, the variation method and perturbation theory.

    我們必須尋求兩個主要的近似解法、變分法和微擾法。
  4. For micro - cavity semiconductor laser, station model is proposed in this paper and its steady - state and instantaneous characteristics when the coupling efficiency of spontaneous emission into a lasing mode is equal to 1 are analysised. for current noise, sp noise, noise, p noise, as well as current modulation, sp modulation, modulation and p modulation, using small - signal approximation, we derive the laser ' s corresponding transfer functions. and we calculate their signal - to - noise ratio ( snr ) gain in various parameters through frequency domain analysis in the premiss of large input snr

    本文對于微腔半導體激光器，提出站模型，能夠較直觀簡潔地分析微腔半導體激光器的穩態和瞬態特性，利用此模型對具有重要實用價值的= 1的微腔半導體激光器進行了討論；對于電流i噪聲、自發發射壽命_ （ sp ）噪聲、自發發射因子噪聲、光子壽命_ p噪聲，以及電流調制、 _ （ sp ）調制、調制、 _ p調制，在小信號近似下，得到了相應的激光器的傳遞函數；在大信噪比的前提下，對激光器進行了頻域分析，分別計算了它們在不同參數下的信噪比增益，分析了其抗噪聲性能。
  5. By introducing proper stretchy variable and constructing boundary layer function, it concludes n - order approximate solution, and using theory of differential inequality, uniformly validity of asymptotic expansion is proved

    通過引進適當的伸長變量，構造邊界層函數，得到了解的n階近似值，並利用微分不等式理論證明了解的漸近展開式的一致有效性。
  6. Following is our main work and important conclusions : ( 1 ) the question of energy spectrum hardening. we used the klein - nishina ' s differential scatter formula, meanwhile utilize the thaler progression to spread out, and neglected the high - power, and then we deduced a theoretical formula of correction of energy spectrum hardening

    其主要工作和結論如下： （ 1 ）對x射線能譜硬化問題，把klein - nishina微分散射方程，利用泰勒級數展開，在忽略高次項的情形下，近似地推導出了能譜硬化修正公式。
  7. The unknown displacement field is approximated by discontinuous, piecewisely differentiable functions

    用間斷分片可微的函數來近似未知位移場。
  8. The equation including the nonlinear dispersion, i. e. the modified nonlinear schrodinger ( mnls ) equation, is a better model. in this thesis, we take mnls solitons as a model for femtosecond soltions. then based on the recently developed direct perturbation theory for perturbed mnls equation, we study the raman self - frequency shift of femtosecond solitons and its suppression by the means of frequency filters. for this purpose, first, we define the physical parameters of mnls solitons ; next, through the direct perturbation theory for perturbed mnls equation, under adiabatic approximation, we obtain the evolving parameters of mnls soliton on our questions and then choose the parameters of frequency filters based on it ; at last, we directly numerically simulated our questions by split - step fourier ( ssf ) method after improving the arithmetic of the differentiation of the nonlinear item for satisfying mnls equation

    本論文以mnls孤子作為光纖飛秒孤子的模型，通過新近建立的mnls孤子直接微擾理論，研究光纖中由拉曼效應引起的飛秒孤子在傳輸中的自頻移，以及通過頻率濾波對自頻移的抑制。為此，首先給出描述mnls孤子的各物理量，然後用mnls孤子直接微擾理論，解析地得到這些問題絕熱近似下的孤子參數演化，並由此選擇頻率濾波的參數，最後用分步傅里葉方法，在對非線性項微商的演算法做出了適合於mnls孤子的改善後，對拉曼效應及頻率濾波進行了直接數值模擬，其中頻率濾波參數用微擾理論確定。
  9. But, the eeg signal that we can acquired is very weak and is badly contaminated by strong background noise, such as electrooculogram ( eog ), electrocardiogram ( ecg ), and line noise ( 50hz or 60 hz power frequency interference ), etc. eeg is a typical non - stationary random signal with a certain extent of non - gaussian and non - linear character

    但是我們能夠獲得的腦電信號一般非常微弱、並伴有很強的背景噪聲，是一類典型的非平穩的隨機信號，且存在一定的非高斯性和非線性。傳統的分析處理方法一般將腦電信號近似認為是線性的準平穩的高斯分佈隨機信號，這使得分析結果往往不能令人滿意、實用性差。
  10. In the experiment, we use the he - ne laser and the semiconductor laser as the source, record the bessel beam patterns behind the axicon by using a digital camera and a microscope, measure the radius of the bessel beam central spot by film - scanning and measure the effect of both the radius of the aperture and the open angle of the axicon on the maximum non - diffraction distance. the experiments show that a specific propagating range has constant power and the beam has a bessel - like distribution in this range. the results agree with the beam corresponding to a diffraction free beam

    同時我們還採用膠片掃描的方法測量了無衍射光束的中心光斑尺寸，測量了不同光闌孔徑和不同稜角情況下的最大無衍射距離和傳播軸附近橫截面內微小光孔中的光強，實驗結果顯示當激光光束經過軸棱錐轉換後有一段距離功率變化很小，且分佈近似貝塞爾分佈，符合無衍射光束的特性;經過聚焦后，呈現三維分佈中空的光束bottlebeam ，實驗結果與理論分析基本吻合。
  11. The keys to the families, genera and species of hepaticae and anthocerotae in hebei are worked out, and the dissected graphs are pictured. moreover, the chinese name, science name, major reference literatures, collect locations, collector and number of specimen, as well as geographical elements and distribution of every species are narrated explicitly. in the hepaticae - flora of hebei, grimaldiaceae, porellaceae and frullaniuccae arc regarded as dominant, showing obvious temperate - zone character and distinct torrid - zone nature, raising the tropic origion theory of china botany - flora which brought forward by professor z. y. wu

    同時，根據標本和資料編制了河北省苔類植物科、屬、種檢索表，詳細記述了每種的中文名、學名、主要參考文獻考證、標本採集地、採集人和標本號，在河北省和中國各省區及世界范圍的地理分佈等，描述了每一種與其相近似種的主要區別點和識別特徵，並根據標本和文獻對其中54種做了顯微繪圖。
  12. In chapter 2 there are four goals : the first is to investigate some geometric properties of h - caccioppoli sets, the second is to characterize the discontinuous set su and jump set ju of u bvh ( ), the third is to study pointwise behavior of u bvh ( ) and our effort is concentrated on showing approximate differentiability of u in the sense of pansu ' s, while the last and the most important is to show that dhu with u bvh ( ) as a radon measure can be split into three parts ( absolutely continuous part, jump part and cantor part, respectively ) just like the derivative of a bv function in the setting of euclidean space

    第二章有四個目標：一是討論h - caccioppoli集的若干幾何性質，二是刻畫h -有界變差函數的近似不連續點集和跳躍點集的特徵，三是研究u bv _ h （ ）的逐點行為，我們集中討論u在pansu意義下的近似可微性，最後也是最重要的目標我們證明對u bv _ h （ ） ， d _ hu作為radon測度能夠分解成絕對連續部分、跳躍部分和cantor部分之和。
  13. We can show the existence of solutions to the differential inclusions problem by baire category method, and so the formal problem. the main steps of using baire category method are as follows. first we construct a complete metric space v. then with the help of the likelihood functional, we obtain a series of open and dense subset vs in v. finally, by baire category theorem, we know that the subset vs is dense in v

    本文指出在適當的條件下，可以將原問題轉化為一個微分包含問題：對於此微分包含問題運用baire稠密性方法，構造一個完備的度量空間，也就是容許函數空間，再利用似然泛函構造出它的一列稠密開子集（實際上是逼近解集） ，從而由baire稠密性定理可以得到解的存在性。
  14. Secondly, the effectiveness and limitation of the classical perturbation, such as the method of multiple scales and the poincare - lindstedt method, are discussed in detail through a duffing oscillator with delayed velocity feedback. it is shown that the two perturbation methods are effective only in solving the approximate solution of the first two orders. an ambiguity or paradox will be encountered when they are used to seeking for the third or higher order approximation of solution

    其次，以一具有時滯速度反饋的duffing系統為例，研究了經典攝動法如多尺度法， poincar - lindstedt法等在求解時滯微分方程級數解時的適用性和局限性問題，指出利用這些方法只能有效求得系統的前兩階近似解，而在求系統的三次以上近似解時會出現矛盾或二義性。
  15. It is found that the fwm field can cause the asymmetry of electromagnetically induce transparency profile. in addition, the effect of different propagating orientations of probe field on the electromagnetically induced transparency is also discussed. in the molecular multi - level system with the perturbed superposition levels, we discuss the electromagnetically induced transparency, spontaneous emission enhancement, double dark resonance and double electromagnetically induced transparency by using the density matrix equation under weisskopf - winger approximation and dressed - state density matrix equation

    針對實際的實驗條件，考慮了一種影響量子干涉的新的因素-四波混頻場，研究了四波混頻場對雙光子探測的-型能級體系的eit的影響，發現四波混頻場能夠導致雙光子探測的eit線型的不對稱，在此基礎上，討論了不同探測場的傳播方式對eit的影響，針對分子中實際存在的包含有微擾能級的不同多能級系統，我們分別採用綴飾態繪景下的密度矩陣方程和weisskopf - wigner近似下的密度矩陣方程詳細地討論了電磁感應透明、自發輻射的干涉相消和相長、雙暗態共振和雙電磁感應透明現象。
  16. Logarithmic differential and its application superiorities in approximate calculations

    對數微分及其在近似計算中的應用優勢
  17. But difficulty in maths will come forth when meeting high spin particles if we using such method. on base of the characteristic of energy space, we obtained the wavefunctions and geometric phase by the trial function method in this paper. the berry phase of the system are also obtained after an evolution period

    文中在絕熱近似下根據自旋粒子能級間隔特點用嘗試波函數法求出了旋轉磁場中高自旋粒子系統的波函數及幾何相位，解決了用一般方法求解時出現高階微分方程的困難。
  18. Result of numerical simulation shows that the grads of continuous phase " s velocities decreases with the presence of microbubble of which the diameter is 100 / / w, the profiles of air volume fraction in the boundary layers is similar to triangle or echelon, affected by interaction among the particle, there is a saturated air fraction, within the scope of saturated air fraction, increasing the air injection ratio can accrete the friction reduction ratio, under the condition of same air injection ratio, the free - steam velocity is larger, the effect of friction reduction is worse

    計算結果表明，直徑為100 m的微氣泡能減小近壁面連續相的速度梯度；微氣泡在邊界層中的濃度分佈近似為三角形或梯形分佈；受粒子間相互作用的影響，存在一飽和濃度；減阻率隨噴氣量的增大而增大，直至飽和噴氣量，此後，增大噴氣量，壁面摩擦阻力變化不大；相同噴氣量下，來流速度越大，減阻率越低。
  19. When the isotropic waveguide is under the isotropic disturbances, the coupling term due to polarization, which is presented in the coupled - mode theory of the wei - ping huang, is n ' t included in this rigorous vectorial coupled - mode theory, exactly, the rigorous vectorial cmt does n ' t contain the coupling term due to polarization which is include in the scalar coupled - mode theory because this term is counteracted with the other coupling term neglected under weakly guiding approximation. as for anisotropic disturbances, we get the coupled - mode equations with arbitrary dielectric tensors. from them, we obtain the coupled - mode equations of the slowly varying term c ( z ) which is more simplicity

    當受到各向同性微擾時，我們發現嚴格的矢量理論所得到的耦合系數表達式中並不包括wei - pinghuang的理論中的偏振耦合項，更確切的說，偏振耦合項正好與因弱導近似而忽略的項相抵消，這就是標量理論所得到結果（有偏振耦合項）與矢量理論在標量近似下的結果（不含偏振耦合項）不一致的原因所在；當各向異性微擾時，我們得到了包含微擾介電張量各個分量的橫電磁場耦合波方程，討論了微擾介電張量各個分量對耦合的影響，而且從橫電磁場耦合波方程出發得到了形式更加簡單的只含有橫電場系數的緩變分量c _ （ z ）的耦合波方程和耦合系數表達式，並以弱導近似下的單模光纖兩正交偏振模耦合為例對耦合系數在不同條件下的取捨做了定性的分析。
  20. Ph linearization method is employed to solve a nonlinear reynolds equation for a steady state and micro - scale flow field, and the approximate function expressions of gas dynamic pressure and velocity in the spiral groove are obtained

    摘要應用ph線性化方法、迭代法，近似求解了螺旋槽內穩態微尺度流動場的非線性雷諾方程，求得了氣體動壓和速度分佈的解析解。
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