有理函數逼近 的英文怎麼說
中文拼音 [yǒulǐhánshǔbījìn]
有理函數逼近
英文
rational function approximation- 有 : 有副詞[書面語] (表示整數之外再加零數): 30 有 5 thirty-five; 10 有 5年 fifteen years
- 理 : Ⅰ名詞1 (物質組織的條紋) texture; grain (in wood skin etc ) 2 (道理;事理) reason; logic; tru...
- 函 : 名詞1. [書面語] (匣; 封套) case; envelope 2. (信件) letter 3. (姓氏) a surname
- 數 : 數副詞(屢次) frequently; repeatedly
- 逼 : Ⅰ動詞1 (逼迫; 給人以威脅) compel; force; drive; threaten 2 (強迫索取) extort; exert pressure ...
- 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...
- 有理 : 1 (有道理) reasonable; justified; in the right 2 [數學] rational; 有理函數 rational function; ...
- 函數 : [數學] function函數計算機 function computer; 函數計算器 function calculator; 函數運算 functional operation
- 逼近 : 1 (靠近 接近) press on towards; gain on [upon]; approach; crowd on; close in on; draw near 2 [...
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We compare the approximation of an analytic function f by its taylor polynomial and its poisson partial sum with the same number of terms and illustrate that for functions with limit zero at infinity and for bounded functions the poisson expansion provides a better approximation to the function than the taylor expansion
在第三章中,介紹了rb曲線與poisson曲線的概念以及基本的幾何性質,指出了poisson基函數與有理bernstein基函數之間存在的關系,並且將解析函數的taylor逼近與poisson逼近進行比較。實例表明,對于在無窮遠處極限為0的函數以及有界函數, poisson逼近比taylor逼近效果要好。Secondly, a new adaptive osculatory rational interpolation kernel function is constructed from the point of approximating the ideal interpolating function, the function ' s characteristics, i. e., the space properties, the spectral properties, and the efficiency are analyzed, and the comparision it with other interpolation methods is made
然後,在圖像采樣和圖像重建理論的基礎上,基於逼近理想插值核函數的思想,構造了一種自適應切觸有理插值函數,對其空域和頻域的性能進行了分析,並與傳統的圖像插值核函數進行了比較。We also give the properties and the convergence of the two models. in the aspect of the fractal approximation of surfaces. we propose the improved quadrangular projected ifs ( qpifs ) model and quadrangular rational projected ifs ( qrpifs ) model
在曲面的分形逼近方面,首先給出了改進后的四邊域曲面的投影迭代函數系統模型,然後給出了四邊域曲面的有理投影迭代函數系統模型。These combination methods simulate the complex relations among serial data by using three - layer ann can approach any rational function and training the network. its principle is that use the forecasting value as ann input stylebook
這幾種組合方法,主要是通過三層神經網路能逼近任何有理函數的特性,通過訓練使得神經網路來模擬系列數據之間與序列之間的復雜關系。In order to calculate easily and do n ' t influence the single - chip microcomputer ' s calculate velocity, we put forward two scheme to deal with the numerical value, one is to use a simple function to close or approach a normal function f ( x ) ( mainly is lagrange ' s intepolation, newton ' s intepolation, hermite ' s intepolation, cubic spline interpolation, etc. ) the other one is function approach ( mainly is chebyshev ' s polynomic. legendre ' s polynomic, laguerre ' s polynomic, method of least squares, etc. ), we analyze and compare the lagrange ' s intepolation and chebyshev ploynomic, at last, we select the chebyshev polynomic to do the value calculating on single - chip microcomputer
提出了數值處理的二種方案。即用簡單函數近似或逼近一個一般函數f ( x ) (主要有拉格朗日插值、牛頓插值、埃爾米特插值、三次樣條插值等)和函數逼近(主要有切比雪夫多項式、勒讓德多項式、拉蓋爾多項式、最小二乘法等) ,對上述兩個方案中的典型函數?拉格朗日插值和切比雪夫多項式進行了分析比較,最後選取切比雪夫多項式完成單片機上的數值計算。In rsdm, binary patterns are replaced by real - valued patterns, accordingly avoiding the coding process ; the outer learning rule is replaced by regression rule, therefore the model has not only the ability of pattern recognition but the ability of function approximation. the prearrangement of the address array bases on the distribution of patterns. if the distribution of patterns is uniform. then the address array is prearranged randomly, otherwise predisposed with the theory of genetic algorithm and the pruneing measure so as to indicate the distribution of patterns and improve the network performance. non - linear function approximation, time - series prediction and handwritten numeral recognition show that the modified model is effective and feasible
在rsdm中,以實值模式代替二值模式,避免了實值到二值的編碼過程:以回歸學習規則代替外積法,使該模型在具有識別能力的同時具有了對函數的逼近能力;地址矩陣的預置根據樣本的分佈採取不同方法,若樣本均勻分佈,則隨機預置,否則利用遺傳演算法的原理和消減措施來預置地址矩陣,使之反映樣本的分佈,改善網路的性能。Neural network has the ability of approaching nonlinear function at random precision, so that correct non - linear errors of angular rate sensor on the basis of neural network method
神經網路具有理論上以任意精度逼近非線性函數的能力,故本文採用基於神經網路方法來校正角速度傳感器的非線性誤差。The study of direct and inverse theorems on the approximation of linear operators to functions in normed linear spaces is an important subject in the approximation theory. it is significant in theory and application
線性運算元對賦范線性空間中函數逼近正逆定理的研究是逼近論中重要的研究課題之一,在理論和實際應用上都具有重要的意義。Rational curves and rational surfaces, which are a class of important approximation functions, are extensive applied in cad / cam
有理曲線和曲面作為一類重要的逼近函數,在計算機輔助設計與製造中有著廣泛的應用。In this paper, systemic theoretic analysis of the relationship of stock structure and operating performance is progressed, based on this, theoretic study and demonstration analysis organic fall together, and the neural networks model that can reflect their relationship total and systemic is established. the input variable of the model can reflect the panorama of stock structure, also, it can embodiment other influence factor of company performance. the evaluation target system that can reflect the operating condition of listed companies completely, impersonality and truly is advanced, at the same time, the best result weights confirm method is brought forward, thereby, the fuzzy integrate evaluations method is improved
本文對股權結構與經營績效之間的關系作了系統的理論分析,並在此基礎上,將理論研究和實證分析有機地結合起來,建立了一個能全面、系統地反映它們之間關系的神經網路模型:該模型的輸入變量在反映股權結構全貌的同時又體現了公司績效的其它影響因素;提出了可以全面、客觀、真實地反映上市公司經營狀況的評價指標體系,同時提出了最佳結果權重確定法,從而改進了模糊綜合評價方法,並利用改進的模糊綜合評價法求出公司經營績效的綜合量化值作為神經網路的期望輸出;改進了神經網路模型的演算法,使其在樣本數據相對較少的條件下也能很好地在性態上模擬被逼近函數。First, it applies fuzzy logical in the abstract and non - linear dealing ability ; second, it applies neural net in the self - study and any functions approaching ability ? through combining above two ability, it can find a best p i d non - linear controlling regularity and achieve controlling on line of the unknown subject etco therefore, it not only can strengthen robust and intelligence of the system, but also make design simple and easily be requiredo in addition, the thesis also does many works on procedure of upper - computer and basic - controller and the whole system designed can be put into work immediately
根據啤酒發酵過程具有大慣性、時滯和非線性等特點,本論文還提出一種基於神經網路的模糊自適應pid控制方案,它一方面利用模糊邏輯的「概念」抽象能力和非線性處理能力,另一方面利用神經網路的自學習能力和任意函數的逼近能力,通過兩者的有機結合尋找一個最佳的p 、 i 、 d非線性組合控制規律,以實現對未知對象進行在線控制,並具備適應控制環境變化的能力和自學習能力等。Rational approximation of the network function by vector fitting algorithm
網路函數有理逼近的向量擬合法However, due to the complex of computation and the need of the design, sometime we need to use polynomial approximation for a rational curves and surfaces
然而由於計算的復雜性和設計的需要,有時我們還需要用多項式函數來逼近有理曲線和曲面。The transient mathematical equations are addressed for the coupled heat and moisture transfer by taking account of moisture accumulation procedure. an analytical method by means of the transfer function is proposed to predict the transient distributions of temperature and moisture content at different interfaces in walls. a numerical analysis approach based on an efficient finite - difference method is developed to deal with the procedure of coupled heat and moisture transfer in a multilayer wall with nonlinear boundary conditions considered
建立了考慮濕積累過程的瞬態熱濕耦合模型,在方程中引入了濕積累項;發展了一種傳遞函數解析方法進行墻體內不同剖面處溫度和含濕量的動態預測;首次提出了一種基於有效有限差分法預測非線性邊界條件下多層多孔結構內的傳熱傳濕過程的數值分析方法,求解過程中考慮了瞬態邊界條件,從而避免了通常處理中由於邊界條件設定為常數而給計算帶來的誤差,對于多層結構每一層物性參數的非連續性,則採用了有效的有限差分逼近處理。In chapter two, the basic knowledge related to panel display drive technology and chromaticity is introduced. some terminology of functions approximation theory is presented
第二章介紹了有關平板顯示器驅動技術的基本原理和顯示色度學相關的基礎知識,同時給出函數逼近理論的基本概念。Cfd is also used to get the data of performance parameters of the nozzle at different nozzle pressure ratio, different nozzle area ratio and different geometric defected angle. the theory of function approximation is used to establish the transient model of thrust vectoring with the data calculated
本文通過cfd計算獲得矢量噴管的性能參數,如流量系數、推力系數以及有效推力矢量角等與矢量噴管壓比、面積比以及幾何偏轉角之間的關系數據,並利用函數逼近理論建立了矢量噴管的動態數學模型。A smoothing technique is combined with optimum approximation and finite element piece - wise interpolation in the method, it can simultaneously process measured vector components, imp ro ve smoothing capability of solution, space composed of original discrete points and increase the accuracy of the solution, especialy its derivatives
該方法結合最佳逼近、有限元分片插值與光順技巧,對測量向量各獨立分量進行處理,改善了原離散點構成的解空間的光滑性,提高了解尤其是導數場的精度,在測量區域內再現了光順向量函數及連續的導數。On the basis of displacement - time series of the slope, a nonlinear dynamic model is set up according to backus generalized linear inversion theory in this paper. due to the equivalence beween autonomous gradient system and catastrophe model, a standard cusp catastrophe model can be obtained through variable substitution. the method is used in analysis of displacement data of huangci landslide and wolongsi landslide and in understanding how slopes evolve before sliding. the result shows that the nonlinear dynamic model can make satisfactory prediction result. is it most important that there is a sudden fall of d, which indicates the occurrence of catastrophe ( when d = 0 )
研究表明,滑坡變形失穩過程具有混沌和分維特性,可以用分形理論來研究滑坡預測問題,基於對任一連續函數,至少在較小的鄰域內可以用多項式任意逼近的數學理論,運用改進的backus廣義線性反演理論,以斜坡位移時間序列為基礎,反演了斜坡演化的非線性動力學模型。並利用自治梯度系統與突變模型的等價性,通過變量代換得到標準的尖點突變模型。Rational number can approxim ate to real number, use the notation of approximate one can prove riemann function isn ' t differentiable anywhere, that the rational points are dense in unit circle
摘要利用有理數對實數逼近的表示方式,給出黎曼函數處處不可導的一種證明,給出單位圓周上的有理點在單位圓上稠密的證明。Firstly, the basic theories of artificial neural network are introduced, including neural cell model, the basic structure of artificial neural network and the study methods. the essential of bp network with function approximation and rbf network and the performance of technology are analyzed. the algorithm of bp and rbf networks are also studied
論文首先闡述了神經網路的基本理論,包括神經元模型,神經網路的基本結構和神經網路的學習方法;分析了具有函數逼近能力的bp網路和徑向基函數( rbf )網路實質、技術實現問題,並研究了bp和rbf網路學習演算法。分享友人