classical approximation 中文意思是什麼

classical approximation 解釋
經典近似
  • classical : adj. 1. （文藝等）古典的，傳統的，權威的；古典文學的；古典語文的；古希臘[古羅馬]的；古典主義的，經典的。2. 人文科學的，文科的。3. ＝classic 1. adv. -ly
  • approximation : n. 1. 接近；近似。2. 【數學】近似值。3. 概算，略計。
  1. A new osculatory rational interpolation kernel function is established, which is different from the classical linear interpolation kernel functions. generally, it is a more accurate approximation for the ideal interpolation function than other linear polynomial interpolants functions. simulation results are also presented to demonstrate the superior performance of this new interpolation kernel function

    本文構造了一個全新的圖像插值核函數?自適應切觸有理插值核函數，同現有的線性插值核函數相比，其空域特性和頻域特性均最接近合肥工業大學博士論文理想插值核函數sinc函數。
  2. 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。
  3. The classical probability limit theory researchs largely the weak convergence or strong approximation of partial sums of random variable sequences. there is a classical literature, such as [ 19 ], [ 37 ] about that

    經典的概率極限理論研究的對象主要是隨機變量的部分和的弱收斂性或強收斂性， [ 18 ] [ 36 ]就是這方面的經典文獻。
  4. By calculating the feynman diagram in rtf, we find that when taking into account both the thermal photon emission, absorption and the virtual photon exchange processes, the infrared divergences at zero and finite temperature can be cancelled at the same time. the full quantum calculation results for soft photon radiation coincide completely with the poisson distribution obtained in the semiclassical approximation ( the coupling of the classical current and quantized field )

    通過實時溫度場論下的費曼圖計算，我們得到：將實光子的發射、吸收，虛光子的交換過程同時考慮時，零溫場論中出現的和由溫度效應引起的紅外發散都能得到消除；並且完全量子場論下的軟光子輻射幾率與半經典近似下（經典的電流和量子化的電磁場之間的耦合）得到的泊松分佈結果完全一致。
  5. The coherent state is represented by a minimum uncertainty wave packet, the quantum correlation in these state is absent, so that it behaves as a quasi - classical state. it is such a property that leads to the results coincide completely with those obtained in semiclassical approximation

    正是因為相干態是一個量子力學允許的最小的測不準波包，沒有任何量子關聯，可以看作是一個準經典態，才導致了完全量子場論和半經典近似下理論結果的完全一致性。
  6. This feature reflects the physical phenomenon of breaking of waves and development of shock waves. in the fields of fulid dynamics, ( 0. 2. 1 ) is an approximation of small visvosity phenomenon. if viscosity ( or the diffusion term, two derivatives ) are added to ( 0. 2. 1 ), it can be researched in the classical way which say that the solutions become very smooth immediately even for coarse inital data because of the diffusion of viscosity. a natural idea ( method of regularity ) is obtained as follows : solutions of the viscous convection - diffusion pr oblem approachs to the solutions of ( 0. 2. 1 ) when the viscosity goes to zeros. another method is numerical method such as difference methods, finite element method, spectrum method or finite volume method etc. numerical solutions which is constructed from the numerical scheme approximate to the solutions of the hyperbolic con - ervation laws ( 0. 2. 1 ) as the discretation parameter goes to zero. the aim of these two methods is to construct approximate solutions and then to conside the stability of approximate so - lutions ( i, e. the upper bound of approximate solutions in the suitable norms, especally for that independent of the approximate parameters ). using the compactness framework ( such as bv compactness, l1 compactness and compensated compactness etc ) and the fact that the truncation is small, the approximate function consquence approch to a function which is exactly the solutions of ( 0. 2. 1 ) in some sense of definiton

    當考慮粘性后，即在數學上反映為（ 0 . 1 . 1 ）中多了擴散項（二階導數項） ，即使很粗糙的初始數據，解在瞬間內變的很光滑，這由於流體的粘性擴散引起，這種對流-擴散問題可用古典的微分方程來研究。自然的想法就是當粘性趨于零時，帶粘性的對流-擴散問題的解在某意義下趨于無粘性問題（ 0 . 1 . 1 ）的解，這就是正則化方法。另一辦法從離散（數值）角度上研究僅有對流項的守恆律（ 0 . 1 . 1 ） ，如構造它的差分格式，甚至更一般的有限體積格式，有限元及譜方法等，從這些格式構造近似解（常表現為分片多項式）來逼近原守恆律的解。
  7. This dissertation consists of two parts. in part one, the weighted approximation by the linear operators in classical spaces and approximation in orlicz spaces are studied ; in part two, the approximation of multivariate linear operators is discussed

    本學位論文分為上下兩篇，上篇主要為一元線性運算元在經典空間的加權逼近和orlicz空間的逼近：下篇為多元線性運算元在經典空間的逼近和加權逼近。
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