scaling theory 中文意思是什麼
scaling theory
解釋
標度理論-
The entropy or number of states of system or subsystem are closely related to interaction of particles and energy level distribution, therefore, to study the temperature dependence of the specific heat may supply some important and useful microscopic information which may play an important role in understanding electronic structure, density of state, phonon spectrum etc. the specific heat measurements at low temperatures also play important roles in the finding of the third law of thermodynamics, the quantum theory of solid and bcs theory for superconducting etc. moreover, specific heat measurements help us to understand the different kinds of phase transitions ( such as : structural phase transition, magnetic phase transition, superconducting phase transition etc. ) and the scaling behavior near the critical point
系統、子系統的熵或微觀狀態數與微觀粒子間的相互作用及能級分佈密切相關，因此研究比熱與溫度的依賴關系能夠提供被測量系統許多極其有用的微觀信息，對理解固體的電子結構、電子態密度、聲子譜等起著十分重要的作用。低溫比熱的測量和研究對熱力學第三定律、固體量子理論和超導bcs等理論的建立起到了積極的推動作用。比熱研究還有助於認識各類相變如結構相變，磁性相變，超導相變等及臨界點附近的標度規律。 -
Range - doppler algorithm is a one dimensional algorithm. wavenumber domain algorithm and chirp scaling algorithm are two dimensional algorithms. this paper discusses their theory and processing flow
Range - doppler演算法是一種一維處理演算法，波數域演算法和chirpscaling演算法是二維聯合處理演算法，本文討論了它們的原理及流程。 -
The contents of this theory are divided into six parts, they are : ( 1 ) self - organized criticality, transient chaos, the edge of chaos and weak chaos ； ( 2 ) the coupling and interactions as well as the coherence and cooperation of multicomponents ； ( 3 ) the fractal dynamics of evolutionary processes ； ( 4 ) the spatio - temporal structures of processes ； ( 5 ) the dynamics of fractal growth ； ( 6 ) the theory of finite - size scaling
將上述命題演繹和整合成一種廣泛適用於地質系統的地球科學的復雜性理論，名之為： 「地質作用的自組織臨界過程動力學? ?地質系統在混沌邊緣分形生長」 ，並將其內容歸納成6部分： （ 1 ）自組織臨界性、瞬態混沌、混沌邊緣和弱混沌， （ 2 ）多組分的耦合與相互作用及其相干與協同， （ 3 ）演化過程的分形動力學， （ 4 ）作用的時空結構， （ 5 ）分形生長動力學， （ 6 ）有限大小標度理論。 -
Pic simulations are performed to determine gap scaling in a high density pegs. comparisons of simulation results with simply theory results and experiment results, indicate that the pegs gap is always equal to the critical gap for magnetic insulted electron flow. it is important to note that, the vacuum electron flow to the anode causes current loss and the
另外，根據模擬結果還得到了兩個重要結論：電流損失是由真空漂移電子的出現所造成的，電流損失的大小與負載阻抗成近似正比關系；負載阻抗等於peos的流阻抗時，負載獲得功率最大。 -
Using the conic function model local approximation, w. cdavidon ( 1980 ) proposed a class of iterative algorithms with modified matrix combining function value, furthermore under the theory d. c. sorensen has used local quadratic approximation method, then applying collinear scaling idea improving on the above algorithm and generalizing it, getting a class of collinear scaling algorithm, unifying former quasi - newton. in the paper, using local quadratic approximation method, the first, constructing the new collinear scaling gene, getting a class of the new collinear scaling algorithm with briefness and numerical stability, ., we discusses some properties of the algorithm and its local linear convergence, q - superlinear convergence and the whole convergence ; secondly we have made numerical experimentation and numerical analysis ; the last, we have done much discussion for collinear scaling idea and given the several new collinear scaling algorithm
本文的工作就是基於局部二次逼近原理，首先通過構造新的共線調比因子，得到了一類新的更簡潔，數值穩定性更好的共線調比演算法，進而我們給出了本共線調比演算法的局部收斂性，全局收斂性以及演算法q -超線性速度的理論證明；其次，用經典的無約束優化五大考核函數就本共線調比演算法進行了數值試驗和數值分析；最後，就局部二次逼近思想，進行共線調比演算法思想進行更廣泛的討論，給出了幾個新共線調比演算法。 -
Meanwhile environment effect curve and its essential non - linear dynamic characters are described and explained. the relevant concept - frame of basin cumulative environment effects ( cee ) is approached and cumulative influence degree iip is introduced for scaling the cee. the innovated method could benefit environment influence study on large - scale development and benefit the perfection of cee theory system
探討了流域開發累積環境影響分析相應的概念框架，並運用累積影響度iip因子作為流域開發累積環境效應的衡量因子進行分析，有利於完善環境影響研究的理論體系和大區域性開發活動的環境影響度量、分析評價和控制體系。 -
Chapter 2 analyzes parallel process technology ' s actuality, the requirement of real - time process, and mostly guidelines of parallel process performance. chapter 3 discusses imaging algorithm - - - - - - chirp scaling algorithm theory as well as realization of ideal point target ; and then discuss the scalar of data and operation. chapter 4 discuss the fft and distributed matrix transposing, mostly about ( 1 ) discussed how to realize parallel fft, and evaluate the preformance of parallel fft ; ( 2 ) discuss another step ' s - - - - - - matrix transposing - - - - - - realization can divided into three steps : distributing, renewedly distributing and local transposing of matrix, and then discuss the time of process in detail
第四章分別研究了cs演算法中的fft變換和分散式矩陣的轉置問題，主要有： （ 1 ）對cs演算法中運算量最大的步驟fft變換進行了并行性的提取，並對并行fft變換的演算法性能進行了評估； （ 2 ）分析並研究了cs演算法中另一不可或缺的步驟? ?矩陣轉置問題，提出矩陣分佈、重新分佈和局部轉置來實現矩陣轉置的并行化，並詳細分析了矩陣轉置的時間耗費問題。 -
Secondly, two familiar image formation algorithms, chirp scaling algorithm ( csa ) and frequency scaling algorithm ( fsa ), are discussed detailedly. from several sides, such as algorithms principles, realizing processes and applicable conditions, these two algorithms " characters are analyzed and compared in theory and practice
第二，對兩種常用的成像演算法chirpscaling演算法（ csa ）和頻率scaling演算法（ fsa ）進行了系統的討論，以理論和實驗為基礎，從演算法原理、實現過程及適用條件等方面，分析比較了這兩種演算法的性能和各自的優缺點。 -
Viewed in the context of einstein ' s general theory of relativity, hubble ' s law arises because of the uniform expansion of space, which is merely a scaling up of the size of the universe [ see top illustration in box on page 65 ]
以愛因斯坦的廣義相對論觀之，哈伯定律起因於空間的均勻膨脹，純粹只是宇宙尺寸的膨脹（詳見67頁圖） 。 -
We study the design of haar wavelet for scale = a ( a2 ) and present a decomposition and reconstruction algorithm in chapter 3. secondly, in chapter 4 we study the design of orthonormal mutiwavelets of multiplicity r with scale = a ( a2 ). by the factorization theory, we give parametric expressions for orthonormal causal fir multifilter banks of r = 2 and scale = 4, and we found the length of scaling function can be controlled by the parameters. finally, we provide the error analysis between discrete multiwavelet transform coefficients and continue multiwavelet transform coefficients
由於多小波變換系數的計算是直接與其預濾波方式相聯系的，而在單小波變換系數計算中之所以能由近似表示就是因為尺度函數具有低通特性和平移正交性，由此我們研究了能滿足以上要求的預濾波，並對離散小波變換系數和連續小波變換系數之間的差異作了分析，從誤差分析結果我們可以預見：為了減少誤差我們可以通過對預濾波的進一步設計來控制。
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