piecewise polynomial 中文意思是什麼

piecewise polynomial 解釋
分段多項式
  • piecewise : 分段地
  • polynomial : adj. 1. 【動、植】多詞學名的。2. 【數學】多項式的。n. 1. 【動、植】多詞學名。 2. 【數學】多項式。
  1. They have the properties like the quadratic uniform b - spline basis functions. the piecewise polynomial curves generated by the above - mentioned functions possess the same structure and geometry properties as piecewise quadratic uniform b - spline curve

    它們具有二次均勻b樣條基函數的性質，且用它們生成的分段多項式曲線具有與分段二次均勻b樣條曲線相同的結構和幾何性質。
  2. 4. applying the techniques of real radical ideal, p - radical ideal ( p is a cone ), decomposition of semi - algebraic set in ( [ 72 ] ), affine hilbert polynomial and b - net form of polynomials on simplex, this paper obtains two theorems of real c ? piecewise algebraic variety dimensions and the real nullstellensatz in c

    L 、 ）數的一個下界計算公上巳4 ：應用多項式在單純形上的b網形式以及文獻門21 ）中的實根理想，錐根理想，半代數簇分解定理，本文得出了實c 」分片代數簇的二個維數定理和c 。
  3. 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。
  4. The method employs a recently developed direct optimization technique that uses a piecewise polynomial representation for the state and controls, thus converting the optimal control problem into a nonlinear programming problem. the method is remarkably robust to initial guesses, which is better than traditional method

    這種方法利用了近些年來發展起來的直接優化技術，用分段多項式來表示整個軌道的狀態和控制向量，將最優控制問題轉化為非線性規劃問題來研究。
  5. Weighted combination interpolation by piecewise quadric polynomial to scatter data points

    散亂數據點分片二次多項式加權平均插值
  6. The constructed surface is c2 continuous on the whole domain, and is a piecewise cubic parametric polynomial on every subdomains. the interpolating surface can preserve the convexity, concavity, inflection property and monotonicity of the data set. in the end, each algorithm brought forward in the paper is exemplified, at the same time, error is discussed

    3針對保形曲面插值問題，提出了一種插值于給定數據點集的參數型保形曲面插值演算法，所構造的曲面在整個區域上是c ~ 2連續的，在每個子區域上是分片三次參數多項式，並且保持被插函數集的所有子區域的邊界及其內部的軸向單調性、凸凹性以及拐點性質。
  7. 3. by using the techniques of an explicit criterion to determine the number of real roots of a univariate polynomial in ( [ 13 ], [ 73 ] ) ; b - net form of bivariate splines function ; discriminant sequence of polynomial ( cf. [ 13 ], [ 73 ] ) and the number of sign changes in the sequence of coefficients of the highest degree terms of sturm sequence, this paper determines the number of real intersection points two piecewise algebraic curves whose common points are finite. a lower bound of the number of real intersection points is obtained in terms of method of rotation degree of vector field

    大連理工大學博士論義：分片代數價線i片代數簇的若十m穴3 ：利用楊路，張景中，侯曉榮在文獻v13 ， 73 ）中關於一元多項式實根的顯式判準，以及二元樣條函數的b網形式，多項式的判別序列和sturm序列的最高次數項系數序列的變號數，本文給出了兩個分片代數曲線的丈交點數（假設公共點是有限的）的計算公式。
  8. In the computational methods of tpbvp, in order to reduce some difficulties involved in solving a tpbvp via adjoint variables, we discuss a direct method in which state and control variables are indirectly parameterized, the method employs a recently developed direct optimization technique that uses a piecewise polynomial representation for the state and control variables, thus converting the optimal control problem into a nonlinear programming problem, which can be solved numerically. it makes the initial iterative variable more easy to be determined

    在數值解法中，為了減少解決兩點邊值問題共軛變量帶來的困難，主要討論了將狀態變量和控制變量進行參數化的一種直接方法，這種方法採用了近段發展起來的使用分段的多項式來代替狀態和控制變量的直接優化方法，然後最優控制問題就轉化成可以用數值方法解決的非線性規劃問題，使得迭代初值更加容易選取。
  9. The author acquires three main results, i. e. an approach of constructing polynomial curves with some shape parameters, c2 - continuous spline curves of degree 4 with some shape parameter, and planar piecewise bezier curve of 3 4th and 6th degree with given control polygon and the curve segments are joined together with c1 c2 and c3 - continuity

    作者在後三章得到了本文的三個主要結果： （ 1 ）構造了一種帶形狀參數的多項式曲線； （ 2 ）構造了一類c ~ -連續帶形狀參數的四次樣條逼近曲線； （ 3 ）構造了與給定多邊形相切的可調控保形分段c ~ 1三次、 c ~ 3六次b zier樣條曲線。
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