Also we show that for an open, dense set of economies, the set of equilibrium prices contains a smooth II-1 dimensional manifold, where H is the numb…
我们证明了存在经济空间的一个稠密开子集，使得对开子集的每个点，都存在着均衡点，并且均衡商品价格包含一个H-1维光滑流形，这里H是事件树中顶点的数目。
The symmetry algebras of 1 + 1 dimensional nonlinear evolution equation arising from the motion of plane curve in affine geometry are systematically studied.
系统地研究了来自于射影几何中平面曲线运动的1 + 1维非线性方程的对称代数。
Necessary and sufficient conditions are given on the symmetry of points and n-1 dimensional hyperplane of function of many variables in then-dimensional Euclidean space.
在n维欧氏空间内，给出了多元函数分别关于点、n-1维超平面对称的充要条件。
In this paper, we derived the conservation laws of 1 + 1, 2 + 1 dimensional differential-difference equations on the base of discrete spectral problems through a direct method.
本文基于谱问题的特点利用直接方法导出了1 + 1、2 + 1维微分—差分方程的无穷多守恒律。
The dashboards (Figure 1) can display data at both the individual instance level and the aggregate level, and offer sophisticated dimensional analysis.
仪表板(图1)可同时在各个实例级别和聚合级别显示数据，提供复杂的多维分析。
The name of the operation in Figure 1 essentially yields a value in a one-dimensional signature space.
图1中操作的名字实质上是一维签名空间中的一个值。
Figure 1 shows where the tasks associated with these steps are located in the traditional 2-dimensional representation of RUP.
图1显示了与这些步骤相关联的任务在传统的二维rup表示中定位于哪里。
Figure 1 shows the credit method in a three-dimensional signature space.
图1显示在三维签名空间中的credit方法。
Part 1 of this series explored the juxtaposition table (JTable), a two-dimensional visualization assistant used to arrange, classify, and compare potentially large quantities of data.
创建并置表，第 1部分：使用 Flex 创建JTable 介绍了使用并置表（JTable）这一二维可视化辅助工具来排列、分类和比较大量数据。
Once the stereotype is applied, you can specify the value for the rank_specification stereotype property, which denotes whether an array is 1-dimensional, multi-dimensional or jagged array.
一旦应用了该模板，您就可以确定 rank_specification 原型属性的值，这将决定建立的数组是单维的，还是多维的，或者是多重数组。
What you see in Figure 1 is a 2-dimensional lookup of our data.
图1是一个二维的数据查找图。
The main research content and result are as follows: 1 The two-dimensional governing equations for steady-state flow and transient flow are derived based on unsaturated soil mechanics.
本文主要的研究内容和成果如下：1在非饱和土力学的基础上推导了二维渗流控制控制方程的稳态渗流方程和瞬态渗流方程。
The X-ray analysis reveals that the crystal structures of compounds 1 and 2 are two-dimensional layer structures through intramolecular hydrogen bonding and -? stacking.
射线分析显示化合物1和2的晶体结构均由分子间氢键和-弱相互作用堆积而成的二维层状结构。
Many of the exact solutions of (3 + 1) dimensional breaking soliton equation are obtained by using a simple transformation relation and solving the ordinary differential equation.
首先通过变换关系和求解简单的常微分方程，得到了(3 +1)维破裂孤子方程丰富的孤立波解和周期波解。
By using a mapping method, we obtain exact solutions of the (2 + 1) dimensional long wave equations.
运用数学中的映射方法分析论证，获得了(2 +1)维长波方程组的精确解。
In 30 of 34 (88 2%) cases, both of the inspectors considered that three dimensional ultrasound could provide more flow information, and the coincident rate was 97 1%.
在34例孕妇中，两位检查者均认为其中30例三维超声可提供更丰富血流信息(88.2 %)，二者判断符合率为97.1 %。
In chapter two, the (3 + 1) dimensional weakly nonlinear ion acoustic wave at higher order transverse perturbations in plasma was discussed and described by the Kadomtsev-Petviashvili (KP) equation.
论文第二章研究了等离子体中横向扰动下的(3 +1)维弱非线性离子声波，得到了描述离子声孤波的(3 + 1)维kp方程。
As examples, two (2 + 1) -dimensional nonlinear evolution equations are taken to show that the modified approach can obtain more new format solutions than before.
并以两个(2 +1)维非线性演化方程为例，说明改进的方法能较好地求得非线性演化方程的更多形式新解。
In terms of SU (1, 1) algebra, the eigen equations of three-dimensional Harmonic Oscillator and hydrogen atom in inverse square potential are counterchanged the same equations in form.
借助于SU(1,1)代数，将三维谐振子与加反平方势的三维氢原子表示成具有相同形式的两算符下的本征值方程。
The variable separation approach is used to obtain coherent soliton structures of a new (2 + 1) dimensional evolution equation.
用分离变量法研究了新(2 +1)维非线性演化方程的相干孤子结构。
The purpose of the present paper is using the nonlinearization approach to study the explicit finite-parameter solution to the difficult (2+1) dimensional soliton equation.
本文主要是用非线性化方法来研究困难的（2+1）维孤子方程的显式的有限参数解的。
In (1 + 1) -dimensional nonlinear dynamical systems, it is believed that different kinds of localized excitations exist in different types of nonlinear models respectively.
在(1 + 1)维非线性动力学系统，人们发现不同的局域激发模式分别存在于不同的非线性系统。
Applying the modified extended tanh-function methods, many types of new explicit traveling wave solutions of the (2 + 1) dimensional long wave-short wave resonance interaction equations are obtained.
利用扩展的双曲正切函数法获得了(2 +1)维长波短波共振相互作用方程的多组新显式精确行波解。
A (1+1)-dimensional lattice U(1) gauge model is solved exactly and the result shows that this model has correct continuum limit.
本文准确求解了一个1+1维格点U（1）规范模型。结果显示格点规范模型具有正确的连续极限。
References 1, 2, and 10 give discussion of the extensions to classical one-dimensional gas dynamics that we will discuss.
参考文献1、2和10对其后我们将讨论的经典一维空气动力学的扩展作了讨论。
Secondly, a type of (2+1)-dimensional multi-component integrable hierarchy is obtained with the help of a (2+1)-dimensional zero-curvature equation and Tu scheme.
其次，运用2+1维的零曲率方程和屠格式得到了一类2+1维的多分量的可积系。
Runaway current in the HL-1 tokamak discharge is studied numerically by using a zero-dimensional code.
本文对HL - 1装置放电中的逃逸电流进行了零维数值模拟。
In this paper, variable separation solution and soliton excitations of the (1 + 1) -dimensional generalised shallow water wave equation are obtained.
研究(1 + 1)维广义的浅水波方程的变量分离解和孤子激发模式。
In this paper, the new exact solutions of (3 + 1) dimensional nonlinear equations are studied.
研究了(3 +1)维非线性方程新的精确解。
In this paper, the new exact solutions of (3 + 1) dimensional nonlinear equations are studied.
研究了(3 +1)维非线性方程新的精确解。
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