数的几何

Vector is the new high school textbooks and the new one of the important contents, it is rich in physical background, it is the object of study algebra, and geometry is the object of study is set,"the number of Form" in a mathematical concept of an abstract algebra, linear algebra and functional analysis of the basic mathematical model.

向量是高中新教材中新增加的重要内容之一，它有着丰富的物理背景，它既是代数研究的对象，又是几何研究的对象，是集"数、形"于一身的数学概念，是抽象代数、线性代数、泛函分析中的基本数学模型。

In this paper, we summarize the foundations of Algebraic function fields, algebraic curves over finite fields and algebraic geometry codes, then we focus on the dimensions of codes on the quotient of the hermitian curves, by using the theory of weierstrass semigroup and the idea of Ho...

我们在系统地总结了代数函数域，有限域上的代数曲线和代数几何码的基本知识的基础上，利用Weierstrass子半群理论，使用Homma和Kim的方法，讨论了Hermite曲线商域上码的维数问题，得到的主要结果如下： 1。

The results from confirmatory factor analysis indicated:(1) The structural model of children's early mathematical ability was reasonable and it had good structural validity. In detail, children's early mathematical ability was explained by number, arithmetic, measurement, space/geometry and pattern;(2) The structure of children b early mathematical ability was stable across different ages but the structural model was not consistent completely;(3) Boys' structural model was identical with that of girls'.

经验证性因素分析发现：(1)儿童早期数学认知能力的结构模型是合理的，可接受的，具有较好的构想效度，具体讲，数、计算、测量、空间／几何和模式认知能力五个维度共同解释著儿童早期的数学认知能力；(2)不同年龄儿童早期数学认知能力的结构具有稳定性，但是结构模型並不完全一致，某些项目的解释率有所不同；(3)男、女儿童早期数学认知能力的结构模型具有一致性。

In this paper, firstly, the embeddability of near-triangular graphs on the orientable surface is studied. By using Petersen's Theorem about 1-factor, we first prove that for a near-triangulation on the orientable surface, its geometry dual graph has a 1-factor; then after a procedure of operation leaded by the 1-factor, we show that if a graph G triangulates some orientable surface S_g, then G has a near-triangular embedding in S_h for h = g,g + 1,...,β(G/2」, where β is the Betti number of G. Hence we obtain a conclusion: A near-triangulation of the orientable surface is upper-embeddable. As a generalization, a class of near-quadrangulation is studied, and similar results are obtained.

本文首先研究了近三角剖分图的可定向曲面嵌入性质，通过运用Petersen关于1-因子的定理，首先证明了对于可定向曲面上的三角剖分图，其几何对偶图具有1-因子；然后在1-因子的导向下，通过做一系列增加亏格的手术，证明了如果一个图G三角剖分可定向曲面S_g，那么G可以近三角剖分可定向曲面S_h，这里h=g，g+1，…，「β(G／2」，β是指图G的Betti数，从而得出推论：可定向曲面上的三角剖分图是上可嵌入的，作为推广，又研究了一类近四角剖分图的可定向曲面嵌入性质，并得到类似的结论。

The instrument software has the function of demonstration of basic knowledge of Digital Image Processing, i.e., it performs the functions of real-time collection and images saving, color change (brightness, binarization, RGB separation etc.), geometrical transform, edge detection (Robert arithmetic operator, Sobel arithmetic operator, Prewitt arithmetic operator, LOG arithmetic operator, Canny arithmetic operator etc.), gray-scale image enhancement (histogram equalization, averaging filtering, median filtering), and binary mathematical morphology management (erosion, dilation, opening, closing, objects marking, Euler number calculation).

该测试仪的软件部分包含数字图像处理课程所涉及的一些基础知识的演示，具体包括图像的实时采集与保存、颜色变换(灰度化、二值化、R、G、B颜色分量的分离等)、几何变换、边缘检测(Robert、Sobel、Prewitt、LOG、Canny)、灰度图像增强(直方图均衡化、均值滤波、中值滤波等)、二值图像操作(腐蚀、膨胀、开启、闭合、对象标注、欧拉数计算)等功能。

The necessary and sufficient conditions for convergent of characteristic domain and the conditions for tangent plane continuity are obtained. The conditions for having limited value of the second order of differential at the convergent point are shown as well.

给出了任一特征域收敛的充要条件；给出了曲面在任一极限收敛点上达到一阶几何连续的条件；分析了极限收敛点处的二阶连续，给出了二阶导数有界的条件。

Geometric mean iron absorption from unfortified Chinese Soy Sauce (Seagull brand, produced in Shanghai) with iron contents 15.8 mg Fe/dl was 6.95%.

其结果为：上海生产出口的海鸥牌瓶装酱油，原有铁(15.8mg铁/100ml)的吸收率几何均数为6.95％，酱油强化铁量为121mg铁/100ml时的铁吸收率为4.36％，该种铁强化酱油再强化维生素C(按铁：维生素C=1：2克分子量)则铁的吸收率为8.25％，几乎增加一倍。

This model builds up the relationship between the levitation capabilities and the geometric parameters of a single-axis acoustic levitator, and proves to be successful in predicting resonant modes, Hm ( m =1, 2, 3, 4), and in explaining the axially symmetric deviation of the levitated samples near the reflector and emitter.

该模型揭示了声悬浮性能和以声波长为参考的悬浮器几何参数之间的本征关系，成功地预测声场的谐振模式 Hm ( m =1， 2， 3， 4为模式数， Hm 为反射端-发射端谐振间距)，并解释了反射端和发射端附近的悬浮样品偏离对称轴的实验现象。

It involved boxy jackets worn with A-line skirts and detailed with standaway collars and covered buttons; luxe minks and chinchillas cut in horizontal bands; Dior houndstooth checks bound with black patent edgings; a few rounded-off, overlapping mid-century geometric prints; and bejeweled bubble dresses for evening.

它涉及boxy外套磨损与线裙和详细的与standaway衣领和所涵盖的按钮；豪华水貂和chinchillas削减在水平带；迪奥houndstooth制衡的约束与黑色的专利edgings ；数四舍五入小康，重叠世纪中叶，几何打印；和的结合泡沫衫裙晚间。

Within certain flow rate range, by comparing with straight tube, equivalent friction factor versus Renolds number and geometry property are correlated.

本文对几种盘绕方式和曲率半径的弯曲盘管在一定流量范围的水阻力进行了实验研究，与同条件下的直管进行比较，得出弯管折合沿程阻力系数与雷诺数和管道几何条件之间的关系曲线和经验公式。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。