查询词典 one dimensional

First, we introduce and discuss the various methods of multivariate polynomial interpolation in the literature. Based on this study, we state multivariate Lagrange interpolation over again from algebraic geometry viewpoint:Given different interpolation nodes A1,A2 .....,An in the affine n-dimensional space Kn, and accordingly function values fi(i = 1,..., m), the question is how to find a polynomial p K[x1, x2,...,xn] satisfying the interpolation conditions:where X=(x1,X2,....,xn). Similarly with univariate problem, we have provedTheorem If the monomial ordering is given, a minimal ordering polynomial satisfying conditions (1) is uniquely exsisted.Such a polynomial can be computed by the Lagrange-Hermite interpolation algorithm introduced in chapter 2. Another statement for Lagrange interpolation problem is:Given monomials 1 ,2 ,.....,m from low degree to high one with respect to the ordering, some arbitrary values fi(i= 1,..., m), find a polynomial p, such thatIf there uniquely exists such an interpolation polynomial p{X, the interpolation problem is called properly posed.

文中首先对现有的多元多项式插值方法作了一个介绍和评述，在此基础上我们从代数几何观点重新讨论了多元Lagrange插值问题：给定n维仿射空间K~n中两两互异的点A_1，A_2，…，A_m，在结点A_i处给定函数值f_i(i=1，…，m)，构造多项式p∈K[X_1，X_2，…，X_n]，满足Lagrange插值条件：p=f_i，i=1，…，m (1)其中X=(X_1，X_2，…，X_n)，与一元情形相似地，本文证明了定理满足插值条件(1)的多项式存在，并且按&序&最低的多项式是唯一的，上述多项式可利用第二章介绍的Lagrange-Hermite插值算法求出，Lagrange插值另一种描述是：按序从低到高给定单项式ω_1，ω_2，…，ω_m，对任意给定的f_1，f_2，…，f_m，构造多项式p，满足插值条件：p=sum from i=1 to m=Ai=f_i，i=1，…，m (2)如果插值多项式p存在且唯一，则称插值问题适定。

The range of possible contexts forms an n-dimensional space, in which each factor forms one dimension within that space.

因为上下文在某种时间是一那些尺寸的种快照，它可能被认为是在上下文空间内的一个点。

Following this definition the range of possible contexts forms an n-dimensional space, in which each factor forms one dimension within that space.

继这个定义之后可能的上下文的范围形成维n的空间，其中每个原素形成在那空间内的一维。

The number of protein three-dimensional structures is about 100,000 while the number of fold is less than one thous,.

自然界中的蛋白质结构约十万种而折叠模式的总数还不到一千。

In the Ashtekar theory,tetrads and complex self-dual connection one-formsare considered as fundamental field variables of four dimensional gravity.

阿西特卡理论是以标架和复自对偶联络一次形式作为描述引力场的基本变量。

Second, as the first application of methods and theory, Regularization -Gauss-Newton Method and Widely Convergent Generalized Pulse Spectrum Technique are applied to inverse preblems of one and two dimensional wave equations in seismical prospecting.

其次，做为方法、理论的第一项应用内容，正则-Gauss-Newton法和大范围收敛广义脉冲谱方法在地震勘探一、二维波动方程反问题上进行了应用。

THA1he THA1 is a versatile, high-performance address generator which can control, under user direction, ltering or remapping of two or three-dimensional images by resam- pling them from one set of Cartesian coordinates into a new, transformed set.

THA1he THA1是一种多功能，高性能的地址发生器，它可以控制用户的指示下，过滤或重新映射两个或三维图像的环城游憩地，从一个采样设置它们的笛卡尔坐标到一个新的，改造集的。

By using a special two dimensional simple shear test apparatus with rigid lateral platens, simple shear test s are carried out on an assembly of aluminum rods, one of which is then simulated by distinct element method.

用铝棒堆积体作为二维粒状体的模型材料进行单剪试验，然后对其用离散单元法进行数值模拟，对于宏观应力应变关系，两者结果基本吻合。

In order to identify the proteins which are responsible for the better fruit set in heat-tolerant variety than in heat-sensitive one, we used two dimensional electrophoresis systems to separate isolated proteins from developing anther and looked for the proteins up-/down-regulated in heat-tolerant variety. In doing so, two selected cultivars, CL5915, the heat-tolerant, and L4783, the heat-sensitive, were grown at the same time in a phytotron at both 30/25℃ and 25/20℃. The proteins isolated from developing anthers of heat-tolerant variety grown in 30/25℃, were subtracted to remove the common genetic background.

因此为了鉴定出在高温逆境下与番茄著果率提升有关之蛋白质体，我们利用亚蔬中心所提供耐热番茄(Solanum lycopersicum， formerly Lycopersicon esculentum)品系CL5915与不耐热品系L4783，藉由控制二品系间生长温度之差异（热逆境30/25℃与一般生长环境25/20℃），在雄蕊发育早期利用蛋白质体学技术分析可溶性蛋白质，比较并扣除共有之遗传背景之蛋白质后，将二品系间具有差异的可溶性蛋白质筛选出来，并进一步利用LC-ESI MS/MS进行蛋白质身份鉴定。

The four cobalt phosphites are with zero-, one-, two- and three-dimensional structures, respectively.

四个钴亚磷酸盐分别是0、1 、2和3维的结构。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。