有理函數近似 的英文怎麼說

中文拼音 [yǒulǐhánshǔjìnsì]
有理函數近似 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
  • 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
  • 近似 : approximate; similar; approach; approximation; roughness; propinquity
  1. 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。
  2. 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。
  3. Using the theories of probability, algebra and number theory comprehensively, we investigate a class of boolean functions with three - valued walsh spectrum in the first part of this dissertation : the properties of the extended semi - bent functions, which are constructed from any two bent functions, are studied, followed by the structure characteristics of the boolean functions satisfying propagation criterion with respect to all but two vectors ; the definition and cryptographic properties of k - order quasi - bent functions are proposed whose walsh spectrum takes on only three values. some sufficient and necessary conditions are offered to decide whether a boolean function is a k - order quasi - bent function ; a special method is presented to construct the k - order quasi - bent functions, whose cryptographic properties are explored by the matrix method, which is different from the method of walsh spectrum and that of autocorrelation of boolean functions ; the application of this kind of boolean functions in the fields of stream cipher, communications and block ciphers is discussed, which shows the great importance of the fc - order quasi - bent functions ; some methodology are proposed to construct the k - order quasi - bent functions, including the complete construction by using the characteristic matrices of boolean functions, and the recursive method by two known k - order quasi - bent functions we further extend our investigation to the ring zp, where p is a prime, and the similar results are presented as far as the p - valued quasi - generalized - bent functions are considered

    本文首先綜合運用概率論、代數學、數論等基礎學科的理論知識，並以頻譜理論作為主要研究工具，對一類譜值分佈相對均勻的函數? ?廣半bent函數、 k階擬bent函數和p值k階擬廣義bent函數進行了系統、深入的研究，給出了廣半bent函數定義，並探討了廣半bent函數的密碼學性質；給出了k階擬bent函數和p值k階擬廣義bent函數的定義及等價判別條件；討論了k階擬bent函數和p值k階擬廣義bent函數與部分bent函數和p值廣義部分bent函數的關系，探討了它們的密碼學性質；給出了k階擬bent函數和p值k階擬廣義bent函數的典型構造方法，並將對k階擬bent函數的密碼性質的研究轉化到對一類特殊的矩陣的研究上；利用布爾函數的特徵矩陣原則上給出了k階擬bent函數的一種完全構造方法，還給出了從已有的p值k階擬廣義bent函數出發，遞歸構造變元個數更多的p值k階擬廣義bent函數的方法；初步探討了k階擬bent函數在序列密碼、分組密碼以及通信中的應用；給出了一類布爾函數walsh譜的分解式，並利用這類布爾函數的walsh譜分解式給出了一類近似穩定的布爾函數的構造，特殊情形下為k階擬bent函數；利用代數數論的知識考察了p值k階擬廣義bent函數的譜特徵，並給出了k階擬廣義bent函數與所有仿射函數的符合率特徵等等。
  4. The water quality respond relation of input - output measurements are established by systematic theory in this paper. according to the peculiarity of hydrology and the necessity of water quality inverse problem the multi - parameter inverse problem model based on ordinary differential equation is developed. the existence and uniqueness of the solution of the ordinary differential equation about two parameters or multi - parameter are to be proved. the unstability depending on errors between monitoring data and interpolation approximate data are analyzed and demonstrated. cubic spline interpolation function, the least two multiply and positive rule method are conjoined for obtained solution of multi - parameter. the results from this algorithm indicats its efficient to the multi - parameter identification in water quality modeling

    本文應用系統理論，建立了水質多參數輸入輸出之間的響應關系；根據河流水文水質變化特點和參數反問題的需求，建立了水質常微分方程多參數反問題模型.根據常微分方程參數反問題的數學理論，作者給出了兩參數和多參數水質常微分方程反問題的解的存在性、唯一性的理論證明過程和結論；還針對水質現有監測資料的測驗誤差和插值近似計算誤差造成參數反問題的不穩定性，將三次樣條插值函數、超定方程最小二乘法和正則化演算法有機地結合使用，成功地給出了水質參數反問題的穩定化演算法.最後給出了應用計算結果
  5. In the new method the uncertainty of the system to be controlled is normalized firstly, and then the partition of unity that is subordinated to a open covering of state variables compact set is constructed, and the approximation is realized by using its property that can approximate nonlinear continuous function with arbitrary precision, then the decentralized adaptive robust controller of complex systems and adaptive laws of approximate parameter estimation are designed

    該方法首先對被控系統中的不確定性進行歸一化處理，進而構造出從屬于狀態變量的緊致域的一組開覆蓋的單位分解，利用其具有以任意精度逼近非線性連續函數的性質，實現了對被控系統不確定性的近似逼近，然後設計了復雜系統的分散魯棒控制器和參數估計的自適應律，並證明了這種控制器使被控系統的狀態及參數估計誤差一致終極有界。
  6. To compare and analyze, the similar theoretical solution of limitless pulled board with a kind of triangle hole or a kind of square hole is derived using knowledge of complex function, and the analytical solution is gained

    為了對比和分析，文中利用復變函數理論對帶有一種三角形孔、一種正方形孔的無限大受拉板的近似理論解進行了推導，得出了解析解。
  7. Secondly, combining the unified colored noise approximation and the functional analysis, the steady state distribution function is derived when both multiplicative colored noise and additive white noise are included in a bistable system with colored coupling between two kinds of noise. through the two - state theory, the expression of signal - to - noise ratio ( snr ) is obtained. the phenomenon of stochastic resonance is investigated

    其次，我們綜合運用統一色噪聲近似和泛函近似的方法，推導了含有乘性色噪聲和加性白噪聲，並且兩種噪聲之間的耦合為色噪聲的雙穩非線性系統的定態分佈摘要不同類型的色噪聲對非線性光學系統的影響函數，然後通過雙態理論求出系統信噪比的解析表達式，對系統的隨機共振現象進行分析。
  8. In the effective mass approximation, using the two - dimensional equivalent potential model and a simple two - parameter wave function, we calculate variationally the ground state binding energy and correlation energy of positively and negatively charged excitons in finite deep gaas - al0. 33ga0. 67as quantum wells. the results show fair agreement with the previous experimental results

    在有效質量近似下，我們採用二維等效勢模型，並且選取了數學形式簡單、物理意義明確的兩參數變分波函數，利用變分法數值計算了有限深gaas ? al _ （ 0 . 33 ） ga _ （ 0 . 67 ） as量子阱中帶電激子的基態束縛能及相關能，所得結果與實驗結果符合得很好。
  9. At last we provide the model with transaction costs with a view to the capital is large enough. we linearize transaction costs function to linear function, then we research the model

    在理想狀態下，即投資者可以支配的資金為充分大的情況下，將交易費函數近似線性化，研究了含有交易費的證券組合投資模型。
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