階多項式 的英文怎麼說

中文拼音 [jiēduōxiàngshì]
階多項式 英文
nth-order polynomial
  • 階 : 名詞1. （臺階） steps; stairs 2. （等級） rank 3. [醫學] （耳蝸的三個螺旋管的任一個） scala 4. [數學] order 5. [地質學] stage
  • 項 : Ⅰ名詞1 （頸的後部） nape （of the neck） 2 （款項） sum （of money） 3 [數學] （不用加、減號連接...
  • 式 : 名詞1 （樣式） type; style 2 （格式） pattern; form 3 （儀式; 典禮） ceremony; ritual 4 （自然科...
  1. They not only inherit the advantages of bezier curves and b - spline curves, also can be used to represent straight lines precisely and some remarkable transcendental curves precisely, such as circular arc, ellipse, cardioids and twisted pair line etc. especially, the uniform t - b - spline curve of three degrees is smoother than b - spline curve and c - b - spline curve of the same order

    此外由於它們還具有三角函數的優點，故既可以精確表示直線段、二次多項式曲線段又可以精確表示圓弧、橢圓弧等二次曲線以及心臟線、雙紐線等超越曲線。特別地， 3次均勻t - b樣條曲線曲面比同階均勻b樣條（ c - b樣條）曲線曲面具有更高的光滑度。
  2. Finally, we discuss the convergence and emanative properties involving the summations for second - order recurrence sequences and a generalization of generalized jacobsthal polynomials

    最後，討論了一類含二階遞歸序列求和的斂散性及廣義jacobsthal多項式的一個推廣。
  3. Firstly, in spherical coordinate system, the sovp formulation for the time - harmonic electromagnetic fields of the current dipole in conductive infinite - space is derived, using reciprocity theorem and transforming relations between special functions. then, selecting appropriate coordinate system, using superposition principle, the boundary - value problem of modified magnetic vector potential on the problem of a time - harmonic current dipole in spherical conductor is solved and analytical solution is obtained. finally, by means of the addition formulas of legendre polynomial and spherical harmonics function of degree n and order 1, the analytical solution in spherical coordinate system specially located is transformed into that in spherical coordinate system arbitrarily located

    首先利用特殊函數間的轉化關系和互易定理推導得到了無限大導體空間中球坐標下時諧電流元電磁場的二階矢量位形式：然後利用疊加原理，選擇合適坐標系，求解了導體球中時諧電流元的修正磁矢量位邊值問題，得到了問題的解析解；最後依據不同坐標系下電磁場解的轉化原理，藉助勒讓德多項式和n次1階球諧函數的加法公式，將坐標系特殊安放時的電磁場解析解變換到坐標系一般安放時的解析解，給出了球內電場和球外磁場的並矢格林函數。
  4. The addition formula of spherical harmonics function of degree n and order 1 is derived using the relations between coordinate varieties after coordinate rotating and the property of the associated legendre polynomial. the relations among the magnetic vector potential, the modified magnetic vector potential and the second - order vector potential ( sovp ) are shown going forward one by one. it is explained that the solutions of electromagnetic fields in different coordinate systems can be transformed and an example having analytical solution is given

    利用坐標旋轉后球坐標變量間的關系和連帶勒讓德多項式的性質推導得到了n次1階球諧函數的加法公式；以遞進的方式說明磁矢量位、修正磁矢量位與二階矢量位的關系，寫出了引入二階矢量位的過程；以時諧場矢量邊值問題為例，闡明了不同坐標系下電磁場解的相互轉化原理，給出了一個解析解的轉化例子；在球坐標下，引入了較球矢量波函數更普遍的兩類矢量函數，給出了其在球面上的正交關系。
  5. Convergence order of double variate combination trigonometric interpolation polynomials

    二元組合型三角插值多項式的收斂階
  6. The increase - order of solutions of higher order homogeneous linear differential equations with polynomial coefficients

    多項式系數高階齊次線性微分方程解的增長級
  7. In this paper, we investigate the increase - order of solutions of higher order homogeneous linear differential equations with polynomial coefficients. we have obtained the precise result

    摘要研究了多項式系數高階齊次線性微分方程解的增長級問題，得到了比前人更精確的結果。
  8. This paper introduces three methods to find solutions to second - order constant coefficient inhomogenous linear differential equation, namely multinomial method, ascending order method and integration method

    摘要求二階常系數線性微分方程特解的方法雖然有許多種，但用多項式法、階數上升法、積分法求二階常系數線性微分方程的特解是比較簡便的。
  9. Second order polynomial regression mathematical model treatment of flow capacity - lift head property curve of centrifugal pump

    揚程性能曲線的二階多項式回歸數學模型處理
  10. Secondly, we introduce the recurrence definition of the non - uniform algebraic - hyperbolic b - spline basis using divided differences and the de boor - fix recurrence definition on polynomial functions, and based on the new forms, algebraic - hyperbolic b - spline curves are obtained. they share most of the properties as those of the b - spline curves in the polynomial space. we focus on deducing the calculating and knot inserting formulae for this new kind of curves and then prove that they have the variation diminishing properties

    二、利用廣義差商，基於多項式b樣條的deboor - fix遞推定義，給出了任意階非均勻代數雙曲b樣條的遞推定義，由此構造麯線，證明它的幾何不變性、仿射不變性、凸包性、 v . d .性等，重點給出了非均勻代數雙曲b樣條曲線的遞歸求值和節點插入演算法，演算法簡單且穩定，便於在計算機上實現
  11. As the cam profile with constant - velocity - constant - acceleration ramp feature and with continuous higher derivative lift feature is widely adopted in the advanced high - speed internal combustion engines, the cam ramp profile is fitted with a reasonable function and the cam - lift profile is fitted with a polynomial function

    考慮到高速內燃機的凸輪大多採用具有等加速-等速特徵的緩沖段和高階導數連續特徵的工作段型式，用等加速-等速函數擬合緩沖段實測升程數據，用整體式高次多項式函數擬合工作段實測升程數據。
  12. The parametric speed of the curve is firstly approximated by the bezier polynomial which takes the lengths of control polygon ' s edges of the direction curve of normal as bezier coordinates. then the corresponding geometric offset approximation algorithm is given. moreover, an offset approximation with high precision is obtained by degree elevation of the direction curve of normal

    首先利用以法矢方向曲線的控制多邊形邊長為b zier縱標的b zier多項式來逼近曲線的參數速度，給出了相應的幾何等距逼近演算法，進一步結合法矢方向曲線的升階獲得了高精度逼近
  13. This new basis provides properties analogous to berstein polynomials, including symmetry, zeros of the basis functions, positivity, normalization, etc. based on this new basis, we define a new kind of curves, to be called h - bezier curves, with control polygon

    本文利用多項式混合雙曲形式在空間中構造了一組新的基，稱為h - b zier基，它具有類似於bernstein基的端點性質，零點階數，正性，正規性質，對稱性等性質進一步，文章通過控制多邊形的方式定義了h - b zier曲線
  14. Based on the representation of interval rational bezier curves and surfaces and by a serial of mathematical transformation, the degree reductions of them are converted to those of polynomials with upper bounds, then several algorithms are presented, with linear programming and optimal approximation methods. by relaxation of some constrained conditions, approximation effects of some of them are further improved

    根據區間有理bezier曲線、曲面的特點，通過一系列數學變換，將其降階問題轉化為多項式的保上界降階逼近，再應用線性規劃和最優逼近方法求解，給出幾種逼近演算法，並探討通過約束不等式的鬆弛，進一步改進逼近效果。
  15. In this paper, more stronger estimations of bounds for the fundamental functions of hermite interpolation of higher order on an arbitrary system of nodes on infinite intervals are given

    本文主要研究基於無限區間上的任意結點系的高階hermite插值，給出了基本多項式的界的估計的更強的結果，即文中的基本定理。
  16. Eno schemes are based on the approximation theory, which achieve high - order spatial accuracy by reconstructing piecewise smooth high - order approximate polynomial from the cell - averaging values. during the reconstruction, adaptive stencil technology, which automatically chooses the relatively smoothest stencil from all possible stencils, is adopted to guarantee essentially non - oscillation near the discontinuity

    Eno格式基於近似理論，採用自適應基架技術（即自動選取所有基架中相對最為光滑的基架） ，對網格平均值構造分段光滑的高階多項式來獲得高階空間精度，同時保證格式在間斷附近具有基本無振蕩性質。
  17. For the fuzzy controller with a fitted modifying factor, a third - order polynomial was used to approximate the former four modifying factors, without the quantization of input and output variables

    在擬合修正因子模糊控制器中，採用一個3階多項式對優化得到的4個修正因子運用最小二乘法進行逼近，且不再對輸入和輸出進行量化處理。
  18. First, according to the orthonormal quality and the rational choice of working point of the sonar array three shafts frame, the structure of the models is predigested preliminarily ; secondly, according to the quality indexes and the coupling quality between frames, relatively small quantum is neglected. so the complex non - linear coupling models of the sonar array are predigested farther ; lastly, considering the characteristic of the model coefficient matrix, the methods of the low rank polynomial approach and the error simulation are introduced. so the models are predigested again

    首先從聲納基陣框架結構的正交性和工作點的合理選擇出發，使模型的結構得以簡化；其次根據系統性能指標及框架間耦合性強弱，忽略相對小量，對聲納基陣復雜的非線性耦合模型進一步簡化；最後考慮模型系數矩陣的特點，運用低階多項式逼近和誤差模擬的方法，實現了對模型的再次降階簡化處理。
  19. In the course of remote sensing digital image preparation, the paper, based on many experiments, chooses histogram match for radiation correction, texture filter method for strip noise reduction, and, with tm image in 1996 as the standard, carries out geometric correction and re - sampling of multi - band combined colored image by means of binary multinomial and closest pixel, with the error of one pixel

    在遙感數字圖像預處理中，通過多次試驗，採用紋理濾波法消除條帶噪聲，以96年tm影像為參考標準進行二階多項式幾何精校正和最鄰近像元法重采樣，誤差控制在1個像元內。
  20. Radial point interpolation meshless method with unequal - rank polynomial basis is selected and its shape function formed manner is discussed. then, the mainly solved equations for plane strain biot consolidation problem with this method are given. moreover, the according calculation program is written

    本文探討了不等階（多項式基）徑向點插值無單元法形函數插值格式，給出了其求解平面應變下比奧固結問題的主要方程，編寫了相應的計算程序，並對軟基路堤的沉降進行了非線性計算，取得較滿意的結果。
分享友人
分享到 Line

分享到臉書