1) polynomial form
多项式型
1.
In this paper we have investigated the constructing method of the axial stiffness in polynomial form for arbitrary supported rod with homogeneous cross-section from the fundamental mode and corresponding frequency when rods density distribution in polynomial form is given.
给出了当杆的横截面积均匀而材料线密度为已知多项式时,由基模态构造任意支撑方式下杆的多项式型的轴向刚度系数的方法,证明了所得轴向刚度的正值性。
2) polynomial of binomial type
二项式型多项式
1.
Furthermore, the functional matrix Pn,λ[x] with polynomial of binomial type related to [ n+λ n-k ] and its properties are studied.
同时,考察了与二项式型多项式相伴的函数矩阵Pn,λ[x]及其性质。
2.
The properties of the lower triangular functional matrix Ln[x] associated with a polynomial of binomial type are discussed in this paper, in which the entry-(i,j) of Ln[x] is equal to lij =(?)i-j(x)l(i,j)if i≥j and equal to 0 otherwise, with l(i, k)l(k,j) = l(i,j)(k-j i-j) and for integers n,k,i,j and real numbers x,y.
n+1阶下三角方阵Ln[x]定义为:(Ln[x])ij=(?)i-j(x)l(i,j)(如果i≥j),否则为0,且满足条件l(i,k)l(k,j)=l(i,j)(k-j i-j)和 ,即二项式型多项式函数矩阵。
3) multinomial model
多项式模型
1.
At first,risk-neutral probabilities of option pricing were obtained which with asymmetrical multinomial model of two assets,then the American option price of two assets were gotten,which volatility followed Markov process.
通过二元离散随机变量对连续随机变量的逼近,首先获得了两资产非对称多项式模型期权定价的风险中性概率,然后给出了两资产波动率都服从Markov过程的美式期权定价结果,改进了对称多项式模型风险中性概率和单资产美式期权定价的结果。
4) polynomial model
多项式模型
1.
OFDM blind channel estimation based on polynomial models;
基于多项式模型的OFDM信道盲估计(英文)
2.
To improve the precision of short stroke control in hot mill, the broken line model is converted into the slick curve model,a polynomial model and a RBF neural network model are studied,which have been simulated and applied to online controlling.
为提高热轧带钢短行程控制精度 ,将折线模型改进为光滑模型 ,研究了短行程控制的多项式模型和RBF神经网络模型 ,进行了仿真分析 ,并投入现场使
3.
Using the polynomial model as the dynamics model of magneto-rheological damper,the bad effect of the damping force jump with the "on-off" semi-active control on vibration acceleration of vehicle sprung mass is investigated.
用多项式模型作为磁流变减振器的力学模型,研究了传统"开-关"型半主动控制的阻尼力跳跃对汽车簧载质量振动加速度产生的不利影响,针对1/2汽车模型对具有磁流变减振器的汽车悬架简单模糊和自适应模糊神经半主动控制策略进行了数值仿真,基于数值仿真结果分析了各控制策略的效果。
5) G-type polynomial
G型多项式
1.
In this paper, the function approximation of Gelenbe Neural Network (GNN) is discussed and it is proved that GNN can approximate any G-type polynomial by using constructional method.
该文研究了G神经网络的函数映射能力,给出了前馈G神经网络映射任意G型多项式的构造性证明。
6) Bernstein type polynomials
Bernstein型多项式
1.
For Bernstein type polynomials, we use a strong Voronovskaja type expansion and prove a strong type inverse theorem on polynomials approximating continuous function.
对于Bernstein型多项式 ,利用强Voronovskaja型展开 ,证明该多项式逼近连续函数强型逆定理 ,从而用Ditzian Totik模刻画该多项式逼近阶的特征 ,得到了等价刻画定
2.
Using moduli of smoothness of high order, we study the problem derivatives hight order of the Bernstein type polynomials, characterize the derivatives of hight order by the smoothness of function and obtain a equivalence theorem.
利用高阶光滑模研究Bernstein型多项式的高阶导数问题,用函数的光滑性刻画Bernstein型多项式的高阶导数的特征,得到了一个等价定理。
3.
After introducing the linear combination of Bernstein type polynomials, we get the rate of pointwise approximation and inverse theorem, A characterized theorem of approximation is given for the combination.
引进Bernstein型多项式的线性组合算子,研究其点态逼近的速度和逆定理,刻画了它的其逼近特征。
补充资料：多项式乘多项式法则
Image:1173836820929048.jpg
多项式乘多项式法则
先用一个多项式的每一项乘以另一个多项式的每一项，再把所得的积相加。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。