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1.
1.填空(每空3分)(1)单项式-xy5的系数是,次数是.(2)并且的项,是同类项.(3)3xn-(m-1)x+1为三次二项式,则-m+n2=.(4)5x+3x2-4y2=5x-( ).(5)2x2y3-3x3y+8x5y10是次项式.(6)若x+y=12,则3[2x-(x-y)]-(x+y)的值为.(7)三个连续奇数,中间一个为n,则这三个连续奇数的和为.2.选择题(每题4分)(1)在代数式x2,-a2bc,a+b,-2,-y,-14x2-3y,m2-n2,xy100中,单项式的个数为( )…  相似文献   

2.
一、填空1.a-1(a-1≠0)的相反数是,倒数是.2.如果n为自然数,那么n,1n,-n的大小关系.(从大到小)3.大于或等于-10且小于11的所有整数的和是.4.若|x+3|与(y-3)2互为相反数,则3x+5y=.5.计算(-4)5×(14)5=.6.若39200000=3.92×10m,近似数0.6080有n个有效数字,则5m+2n=.7.若|x|=3,|y|=4,且x>y,则3x-2y的值是.8.计算-32+(-2)3÷(-1)5=.9.计算8×(-0.75)2-24×(-16)3÷(…  相似文献   

3.
新题征展(4)     
A.题组新编1.(1)图1是四个对数函数y=logax、y=logbx、y=logcx、y=logdx的图象,则a、b、c、d、0、1等六个实数之间的大小关系是  .(2)设2<m<n<3,则logm(m-2)与logn(n-2)的大小关系是  .(3)设0<m<n<1,则logm(m+1)与logn(n+1)的大小关系是  .2.已知关于x的二次不等式x2-(a-2)x+3a<0在区间(-2,1)内:(1)恒成立,则实数a的取值范围是  ;(2)无解,则实数a的取值范围是  ;(3)存在解,则…  相似文献   

4.
Jacobi多项式零点为结点的Lagrange插值多项式之逼近   总被引:1,自引:0,他引:1  
对于可微函数f∈Cq[-1,1],本文研究以Jacobi多项式J(α,β)n(x)的零点为结点组之Lagrange插值多项式对f及其导数的同时逼近,证明不等式L(s)n(f,α,β,x)-f(s)(x)=O(1)Δ-sn(x)Δqn(x)ω(f(q),Δn(x))logn{+(1-x+n-1)-α-12n-qω(f(q),n-1)},在[0,1]上对于s=0,1,2,…,q一致成立,其中Δn(x)=n-11-x2+n-2  相似文献   

5.
一、填空题(12分)1.如果x2+ax+9=(x-3)2,则a=,5x2-3x+b=(5x+2)(x-1),则b=.2.当x时,分式-xx2+5的值是正数,当x=时,13-x=3.3.已知方程(a+3)x=3,当a时,方程有唯一解,当a时,它无解.4.已知等式2a-bn+a=n,当n≠2时,a=.5.方程1x+2-3+xx+2=0的增根是,化简4x2-14x2+4x-3=.6.计算1x+2-2x+5x+2=.二、选择题(15分)1.下列分解因式错误的是( ).(A)x4-8x2+16=(x+2)…  相似文献   

6.
n维超环面网C(d1dd2,…,dn)定义如下:顶点集为{(x1,…;xn)|0≤xi<di(1≤i≤n)};每个顶点(xl,…,xn)与(x1±1,x2,…,xn),(x1,x2±1,…,xn),…;(xl,x2,…,xn±1)这2n个顶点相邻.(d,m)-控制数是用来刻画互连网络数据传输某种模式的一个新参数.本文证明了:当 d=diam(C(d1,d2,…,dn))时,n维超环面网C(d1,d2,…,dn)≠C(3,3,…,3)的(d,2n)-控制数为2(n≥3,di≥3,i∈{1,2,…,n}).  相似文献   

7.
一、填空题(每小题3分,共30分)(1)因式分解的一般步骤是:首先观察能不能,然后考虑应用或法,项数为三项以上时,应当考虑.(2)多项式-5ab+15a2bx-35ab3y的公因式是.(3)18a3+1=(12a+1)(  )(4)x2-(  )+14=(   )2(5)若a2+8ab+2m是一个完全平方式,则m=.(6)(x-4)2x+(4-x)2y=(x-4)2(  )(7)分解因式x-y+x2-2xy+y2时,宜分为组,它们是.(8)已知mn=12,则(m+n)2-(m-n)2的值是.(9…  相似文献   

8.
一、判断正误(每题2分)1.单项式x的系数是0,次数是1.( 2.三次二项式a2+b3的常数项是0.( )3.多项式x3-13b4y+3y2x是按y升幂排列的.( )4.13p2q与-9q2p是同类项.( )5.(-m+n)-2(c+d)=m+n-2c+2d.( )二、填空题(每空3分)1.代数式2x,x2,a2bc2,a22+b2-0.4a2,x-2中单项式是,多项式是.2.单项式-2x2y3的系数是,-2ab25的系数是.3.多项式a3-6a2b-ab2+a2b的项数是,次数是.4.2x3y…  相似文献   

9.
一、判断题(每小题2分,共10分)1.含有分母的代数式是分式.( )2.整式和分式统称有理式.( )3.a2-b2a+b=a2-b2÷a+b.( )4.-ab=a-b=-ab.( )5.当a≠0时,方程ax-b=0的解是x=ba.( )二、填空题(每小题2分,共20分)1.有理式-a2,1x,-2x3,n-13m,1x-2y中,属于分式的有个.2.当x=时,分式x-32x+1的值为零,当x时,分式x2x-3有意义.3.(1)yx=(  )x2,(2)c2ab=c2(  )(c≠0)4.使分式23…  相似文献   

10.
设(Xi,Yi)1≤i≤n为来自二元总体(X,Y)的平稳,φ-混合样本,记m(x)△E(Y│X=x),m(x)的一种递推型核估计为mn(x)=n∑i=1hi^-1Yik((x-Xi)/hi)/n∑j=1h^-1jk(x-Xj)/hj)。本文在一定的条件下证明了(n/(n∑j=1h^-1j)^1/2)(mn(x1)-m(x1),mn(x2)-m(x2),...mn(xr0)-m(xr0))′依分布收  相似文献   

11.
12.
We study a class of self-similar processes with stationary increments belonging to higher order Wiener chaoses which are similar to Hermite processes. We obtain an almost sure wavelet-like expansion of these processes. This allows us to compute the pointwise and local Hölder regularity of sample paths and to analyse their behaviour at infinity. We also provide some results on the Hausdorff dimension of the range and graphs of multidimensional anisotropic self-similar processes with stationary increments defined by multiple Wiener–Itô integrals.  相似文献   

13.
It is considered the class of Riemann surfaces with dimT1 = 0, where T1 is a subclass of exact harmonic forms which is one of the factors in the orthogonal decomposition of the spaceΩH of harmonic forms of the surface, namely The surfaces in the class OHD and the class of planar surfaces satisfy dimT1 = 0. A.Pfluger posed the question whether there might exist other surfaces outside those two classes. Here it is shown that in the case of finite genus g, we should look for a surface S with dimT1 = 0 among the surfaces of the form Sg\K , where Sg is a closed surface of genus g and K a compact set of positive harmonic measure with perfect components and very irregular boundary.  相似文献   

14.
Schr(o)dinger operator is a central subject in the mathematical study of quantum mechanics.Consider the Schrodinger operator H = -△ V on R, where △ = d2/dx2 and the potential function V is real valued. In Fourier analysis, it is well-known that a square integrable function admits an expansion with exponentials as eigenfunctions of -△. A natural conjecture is that an L2 function admits a similar expansion in terms of "eigenfunctions" of H, a perturbation of the Laplacian (see [7], Ch. Ⅺ and the notes), under certain condition on V.  相似文献   

15.
As early as in 1990, Professor Sun Yongsheng, suggested his students at Beijing Normal University to consider research problems on the unit sphere. Under his guidance and encouragement his students started the research on spherical harmonic analysis and approximation. In this paper, we incompletely introduce the main achievements in this area obtained by our group and relative researchers during recent 5 years (2001-2005). The main topics are: convergence of Cesaro summability, a.e. and strong summability of Fourier-Laplace series; smoothness and K-functionals; Kolmogorov and linear widths.  相似文献   

16.
张丽娜  吴建华 《数学进展》2008,37(1):115-117
One of the most fundamental problems in theoretical biology is to explain the mechanisms by which patterns and forms are created in the'living world. In his seminal paper "The Chemical Basis of Morphogenesis", Turing showed that a system of coupled reaction-diffusion equations can be used to describe patterns and forms in biological systems. However, the first experimental evidence to the Turing patterns was observed by De Kepper and her associates(1990) on the CIMA reaction in an open unstirred reactor, almost 40 years after Turing's prediction. Lengyel and Epstein characterized this famous experiment using a system of reaction-diffusion equations. The Lengyel-Epstein model is in the form as follows  相似文献   

17.
A cumulative-capacitated transportation problem is studied. The supply nodes and demand nodes are each chains. Shipments from a supply node to a demand node are possible only if the pair lies in a sublattice, or equivalently, in a staircase disjoint union of rectangles, of the product of the two chains. There are (lattice) superadditive upper bounds on the cumulative flows in all leading subrectangles of each rectangle. It is shown that there is a greatest cumulative flow formed by the natural generalization of the South-West Corner Rule that respects cumulative-flow capacities; it has maximum reward when the rewards are (lattice) superadditive; it is integer if the supplies, demands and capacities are integer; and it can be calculated myopically in linear time. The result is specialized to earlier work of Hoeffding (1940), Fréchet (1951), Lorentz (1953), Hoffman (1963) and Barnes and Hoffman (1985). Applications are given to extreme constrained bivariate distributions, optimal distribution with limited one-way product substitution and, generalizing results of Derman and Klein (1958), optimal sales with age-dependent rewards and capacities.To our friend, Philip Wolfe, with admiration and affection, on the occasion of his 65th birthday.Research was supported respectively by the IBM T.J. Watson and IBM Almaden Research Centers and is a minor revision of the IBM Research Report [6].  相似文献   

18.
正Journal overview:Journal of Mathematical Research with Applications(JMRA),formerly Journal of Mathematical Research and Exposition(JMRE)created in 1981,one of the transactions of China Society for Industrial and Applied Mathematics,is a home for original research papers of the highest quality in all areas of mathematics with applications.The target audience comprises:pure and applied mathematicians,graduate students in broad fields of sciences and technology,scientists and engineers interested in mathematics.  相似文献   

19.
正Applied Mathematics-A Journal of Chinese Universities,Series B(Appl.Math.J.Chinese Univ.,Ser.B)is a comprehensive applied mathematics journal jointly sponsored by Zhejiang University,China Society for Industrial and Applied Mathematics,and Springer-Verlag.It is a quarterly journal with  相似文献   

20.
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