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quadratic polynomial
相关语句
  二次多项式
    A Necessary and Sufficient condition of Existence for C~1 Monotonity preserving Piecewise Quadratic Polynomial Interpolation
    C~1连续分段二次多项式保单调插值存在的充要条件
短句来源
    Convexity Preserving C~1Piecewise Quadratic Polynomial Interpolant
    保凸C~1分段二次多项式插值方法
短句来源
    Decomposition Conditions and Method of Real Coefficient Quadratic Polynomial in Two Elements
    实系数二元二次多项式在R中可分解的条件及分解方法
短句来源
    Discussion on Linear Center System Disturbedby Impulse of Quadratic Polynomial
    线性中心系统二次多项式脉冲扰动问题
短句来源
    A-optimal Design for Duality Quadratic Polynomial Regression Models in Circle Region
    圆域上的二元二次多项式回归模型的最优设计
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  “quadratic polynomial”译为未确定词的双语例句
    Factorization of a Quadratic Polynomial in N Elements
    n元二次多项式的因式分解
短句来源
    In this paper, we give a quadratic differential system which is the quadratic polynomial perturbation of u = uv, v =1- u~2 -v~2. By discussing we obtain it can bifurcate the limit cycles of type (0, 1), (1, 0), (1, 1), (0, 2), (2, 0), which distinctly answers that quad- ratic differential systems may appear Poincar's bifurcation.
    本文给出一个二次系统=uv,=1-u~2-u~2在两次多项式的扰动下,经过讨论获知,可以分叉出(0,1)、(1,0)、(1,1)、(0,2)、(2,0)分布的极限环,从而明确答了二次系统会出现Poincar分叉。
短句来源
    A PROPERTY OF QUADRATIC POLYNOMIAL
    二次多项式的一个性质讨论
短句来源
    this essay decrease the condition of using a functional equation to judge a function as quadratic polynomial and gives an elementary proof.
    本文对利用一个函数方程判断一个函数为二次多项式的条件进行了减弱,并给出了一个初等证明。
短句来源
    In this paper, C' monotonicity preserving piecewise quadratic polynomial inteaplations are discussed, and necessary and sufficient conditions of existence for the interpolations are given.
    本文讨论C1连续的分段次多项式保单调插值,并且给出了保单调插值存在的充要条件。
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  quadratic polynomial
The velocity of the sheet is a quadratic polynomial of the distance from the slit and the sheet is subjected to a linear mass flux.
      
The interpolant is obtained patching together cubic with quadratic polynomial segments; it is co-monotone and/or co-convex with the data.
      
Cubic-spline and discrete-quadratic polynomial techniques are presented for reliably computing up to third-order derivatives of experimental information.
      
An algorithm to recover bit timing is proposed which maximises a quadratic polynomial approximation to the log-likelihood function.
      
The formulae are characterized by the presence of an infinite series whose general term consists of a linear recurrence damped by the central binomial coefficient and a certain quadratic polynomial.
      
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Lef f(x) be a quadratic polynomial with cocfficients in a finite field F、 On how many points of F can f(x) take values which are squares in F? How. many square values can f(x) take? How do we determine these points and values? We solve these problems by applying a set of transformations of F into itself which preserve the property “f(x) is a square”. The transformations can be defined on an arbitrary field as well.When F is the field of rational numbers they can be used to discuss the square values of...

Lef f(x) be a quadratic polynomial with cocfficients in a finite field F、 On how many points of F can f(x) take values which are squares in F? How. many square values can f(x) take? How do we determine these points and values? We solve these problems by applying a set of transformations of F into itself which preserve the property “f(x) is a square”. The transformations can be defined on an arbitrary field as well.When F is the field of rational numbers they can be used to discuss the square values of a quadratic form of two variadles f(x.y)with integral coefficients.If the- re exists one point (x_0,y_0),where x_0 and y_0 are integers,such that f (x_0,y_0) is a square of an integer then there are infinitely many others,all of them can easily be obtained by means of the transformations.A family ofconditional inequalities is obtaiued when they are applied of reals.

设 F 为任意特征不为2的域,f(x)=αx~2-βx+r 是 F 上二次多项式。令=F∪{∞},并令 f(∞)=α。对任意 a∈?),我们定义了变换τ_a∶.变换τ_a 保持“f(x)为平方”这性质不变.利用这组变换,(1)当 F 为有限域,我们确定了集合 H={x∈F|f(x)∈F~(*2)}及 S={f(x)∈F~(*2)|x∈F},并计算了它们元素的个数;(2)当 F 为有理数域,我们讨论了整系数二元二次型 f(x,y)取平方值问题.考虑方程 f(x,y)=z~2.如它有一整数解,则必有无限多不等价的解,所有的解都可通过变换τ_a 简单地得到:(3)当 F 为实数域,我们得到一族条件不等式.

Lef f(x) be a quadratic polynomial with cocfficients in a finite field F、 On how many points of F can f(x) take values which are squares in F? How. many square values can f(x) take?How do we determine these points and values? We solve these problems by applying a set of transformations of F into itself which preserve the property “f(x) is a square”. The transformations can be defined on an arbitrary field as well.When F is the field of rational numbers they can be used to discuss the square values of a...

Lef f(x) be a quadratic polynomial with cocfficients in a finite field F、 On how many points of F can f(x) take values which are squares in F? How. many square values can f(x) take?How do we determine these points and values? We solve these problems by applying a set of transformations of F into itself which preserve the property “f(x) is a square”. The transformations can be defined on an arbitrary field as well.When F is the field of rational numbers they can be used to discuss the square values of a quadratic form of two variadles f(x.y) with integral coefficients.If the- re exists one point (x_0,y_0),where x_0andy_0 are integers,such that f(x_0,y_0) is a square of an integer then there are infinitely many others,all of them can easily be obtained by means of the transformations.A familyofconditional inequalities is obtaiued when they are applied of reals.

设 F 为任意特征不为2的域,f(x)=αx~2-βx+r 是 F 上二次多项式。令 F=Fu{∞},並令 f(∞)=α。对任意 a∈F,我们定义了变换τ_a:■变换τ_a 保持“f(x)为平方”这性质不变.利用这组变换,(1)当 F 为有限域,我们确定了集合 H={x∈F|f(x)∈F~(*2)}及 S={f(x)∈F~(*2)|x∈F},並计算了它们元素的个数;(2)当 F 为有理数域,我们讨论了整系数二元二次型 f(x,y)取平方值问题.考虑方程 f(x,y)=z~2。如它有一整数解,则必有无限多不等价的解,所有的解都可通过变换τ_a 简单地得到:(3)当 F 为实数域,我们得到一族条件不等式.

In this paper we prove the transitivity of the set of all reflections of an orthogonalspace on some sets of lines. Applying this property, we can find all integral solutionsof some quadratic equations with integral coefficients and simplify the proofs of Witt'sTheorem and the Inertia Theorem. Concerning an onthogonal space over a finite field,two expressions relating the number of the square lines and the number of the isotropiclines are obtained, so that the number of isotropic lines, the number of the square...

In this paper we prove the transitivity of the set of all reflections of an orthogonalspace on some sets of lines. Applying this property, we can find all integral solutionsof some quadratic equations with integral coefficients and simplify the proofs of Witt'sTheorem and the Inertia Theorem. Concerning an onthogonal space over a finite field,two expressions relating the number of the square lines and the number of the isotropiclines are obtained, so that the number of isotropic lines, the number of the square linesand the number of the nonsquars lines are calculated. Finally, a result of ShenGuangyu is generalized: for a multivariable quadratic polynomial f with coefficientsin a finite field, the number of arguments that f takes square values and the number ofsquare values that f can take are calculated. Throughout this paper, we assume that the characteristic of the field is differentfrom two.

本文证明了正交空间反射集合在某些直线集上的可迁性。利用这个性质,求出了一些特殊整系数方程的所有整数解;简化了二次型理论中Witt定理和惯性定理的证明;考虑有限域上的正交空间,找出了平方直线数和迷向直线数的两个关系式,从而分别求出了迷向直线数,平方直线数及非平方直线数;最后,本文推广了沈光宁《二次多项式的平方取值》(见上海师大学报(自然科学)1979年第一期)的结果,算出了有限域上n元二次多项式取平方值的自变量值个数及函数值个数。本文在特征不为2的域F上讨论

 
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