形数

词组短语

figurate number

与形数相关的网络例句 [注：此内容来源于网络，仅供参考]

By means of uniting geometry with algebra, the arc length, tangent line, cotangent space and curvature of curve in four dimensional space are investigated, and the corresponding calculation formula in each cases are given.

用形数结合的观点研究了四维空间中曲线的弧长、切线、法空间和曲率问题，并给出了其计算公式。

In inequality in the equivalent transformation process requires a lot of mathematical ideas, discuss issues such as classification, the overall for-yuan,数形结合, transformation and so on as appropriate to the infiltration of these thinking, to improve the mathematical abilities of students have great help.

在不等式的等价转化过程中需要用到诸多的数学思想，如分类讨论问题、整体换元、数形结合、转化化归等等适当地渗透这些思想方法，对提高学生的数学能力有极大的帮助。

By taking the strategy of uniting geometry with algebra and using the method of minimal value, the distance problems between a line and a line in four dimensional space are investigated and the caculation formula are given.

用形数结合的观点和极小值法，研究了四维空间中两直线间的距离问题，并给出了相应的计算公式。

Finally, the calculation process of CGR graphic's multi-fractal analysis was studied. the scope of choice of the weight factor and the scale invariance range were discussed, the weight factor can be chosen as ? 15≤q≤50; multi-fractal spectrum and generalized dimension of different sequence were calculated, multi-fractal spectrum and generalized dimension in different scales of different sequences were compared, it was found that multi-fractal spectrum and generalized dimension can show different levels of fractal characteristics of CGR graphics of DNA sequence, which can distinguish more complex structure of sequences.

最后，研究了DNA序列CGR图形的多重分形的计算过程，讨论了权重因子及满足标度不变性的范围选择等问题，得到结论：对CGR图形进行多重分形时权重因子可以选择为-15≤q≤50；计算了不同序列的多重分形谱和广义维数，比较了不同序列不同尺度的多重分形谱和广义维数，发现多重分形谱和广义维数能够表现DNA序列CGR图形的不同层次的分形特征，能够区分更复杂的序列结构。

This paper is divided into two parts: The first part focuses on Shuxingjiehe thinking, focuses on the history of Shuoxingjiege thinking of the sources, definitions and principles of teaching the second part focuses on Geometer's Sketchpad in Shuoxingjiehe thinking of the application of the status quo , On how to strengthen the Geometer's Sketchpad Shuxingjiege thinking in the application of the discussion.

本文主要分为两部分：第一部分内容侧重于数形结合思想，主要论述了数形结合思想的历史来源，定义和教学原则；第二部分着重于几何画板在数形结合思想中应用的现状分析，对如何加强几何画板在数形结合思想中的应用进行了讨论。

The results show that the radiative properties of randomly distributed soot aggregates for a given fractal dimension are complex functions of the monomer diameters, the number of monomers in the aggregates,and the refractive index; For a small value of the monomer diameters, the absorption cross section of soot aggregates tends to be relatively constant when the fractal dimension is small but increases rapidly when the fractal dimension exceeds two. However, a monotonical reduction in light absorption with the increase of the fractal dimension is observed for soot aggregates with sufficiently large monomer diameters, number of monomers,and refractive index. The scattering cross section , extinction cross section and single-scattering albedo increase monotonically with the increase of the fractal dimension. Overall, the results for soot aggregates differ profoundly from those calculated for the equivalent spherical particles, and the discrepancies between them will change small with the increase of the fractal dimension.

研究表明，在给定分形维数的情况下，烟尘団簇粒子的辐射特性取决于原始微粒粒径、数量及复折射率；原始微粒较小的団簇粒子，当分形维数较小时，吸收截面变化不明显，但当分形维数大于二时，吸收截面骤然增大，然而，对于具有比较大的原始微粒粒径、数量及复折射率的烟尘団簇粒子，吸收截面随着分形维数的增大而单调递减；随着分形维数的增大，団簇粒子的散射截面、消光截面及单次散射反照率均单调递增；从整体上来讲，団簇粒子的辐射特性与等效球形粒子的辐射特性存在着比较大的差别，并且这种差别随着分形维数的增大而减小。

Probes into the strategies of integration teaching about DGS and geometry teaching Based on the practical analysis of integration teaching from the experiment, integration strategies on DGS and geometry teaching are advanced as follows: strategies of accuracy-based figure-to-data transformation; strategies of abundance-based generalization; strategies of dynamic-based test-driving; strategies of scene-based pre-generation; strategies of dynamic variability-based extending.

3DGS技术与初中几何教学整合的策略探究根据对微型整合教学实验的具体分析，本研究归纳和梳理了有关DGS技术与初中几何教学整合的主要策略：基于精确性的形数转化策略；基于丰富性的概括抽象策略；基于形象性的证明驱动策略；基于情景性的预设生成策略；基于动态性的拓展延伸策略。

Probes into the strategies of integration teaching about DGS and geometry teachingBased on the practical analysis of integration teaching from the experiment, integration strategies on DGS and geometry teaching are advanced as follows: strategies of accuracy-based figure-to-data transformation; strategies of abundance-based generalization; strategies of dynamic-based test-driving; strategies of scene-based pre-generation; strategies of dynamic variability-based extending.

3DGS技术与初中几何教学整合的策略探究根据对微型整合教学实验的具体分析，本研究归纳和梳理了有关DGS技术与初中几何教学整合的主要策略：基于精确性的形数转化策略；基于丰富性的概括抽象策略；基于形象性的证明驱动策略；基于情景性的预设生成策略；基于动态性的拓展延伸策略。

The desulfurization experiments of CaO samples with various fractal dimensionswere carried out in the TGA to investigate the influences of fractality on the sulfationreaction, and the evolution of pore structures during the reaction. Under certainsulfation conditions, the calcium conversions of the CaO samples increase with theincrease in fractal dimension when fractal dimension is less than 2.68, and decreaseswhen it is more than 2.68. In the range of the experiment temperatures, the calciumconversion for a sample with a lower fractal dimension increases with the increase inthe temperature, and for a sample with a higher fractal dimension there exist anoptimum temperature at which the sample can reach the highest calcium conversion.

选用具有不同分形结构的CaO试样进行了硫化实验，研究孔结构的分形特性对硫化反应的影响以及硫化过程中分形孔结构的变化特性，实验结果表明，在一定的分形维数范围内，随着分形维数的增加，钙利用率增大，但分形维数超过一定值时(约为2.680)，钙利用率反而降低。

By taking the strategy of uniting geometry with algebra and using the method of minimal value, the relationships of intersection, parallels and perpendicular between two three dimensional spaces in four-dimensional descriptive geometry are investigated and the calculation formula of the distance between two three-dimensional spaces are given.

用形数结合的观点和条件极值法，研究了四维空间的两三维空间的相交、平行和垂直的相互关系计算出两平行三维空间的距离。

与形数相关的网络解释 [注：此内容来源于网络，仅供参考]

decagonal number：十边形数

decagon 十边形 | decagonal number 十边形数 | decagram 十角星

topological dimension：拓扑维数

它所描述的图形可以是分数维.分形的特征是整体和局部有严格的或统计意义下的自相似性.描述分形的定量参数为分维,而维数的定义种类很多,如相似维数、Hausdorff维数、盒维数(box dimansion)、拓扑维数(topological dimension)等,需要随研究对象的改变来选择.研究表明,

Centrechinoida：正形目

normal form quotient ^ 正形率 | Centrechinoida ^ 正形目 | normal form factor ^ 正形数

figurate number：垛积数, 形数

tentaculozoid 触手个员 | figurate number 垛积数, 形数 | handspike 手杆, 推杆

figurate number：垜积数;形数

体论 field theory | 赋值体 field with valuation | 垜积数;形数 figurate number

heptagonal number：七边形数

heptagon 七边形 | heptagonal number 七边形数 | heptahedron 七面体

heteromerous：异数的; 异构的; 异形的 (形)

heterolytic 异种溶解的; 异属溶解的 (形) | heteromerous 异数的; 异构的; 异形的 (形) | heteromorphic 完全变态的; 变形的 (形)

broadside aspect：大形数

长边,水线上船舷 broadside | 大形数 broadside aspect | 虚线(制图) broken line

form quotient：形率

实验形数 experimental form factor | 形率 form quotient | 胸高形率 artificial form quotient, breast height form quotient

absolute form quotient：绝对形率,绝对形率

absolute fixed cost ==> 绝对固定成本,绝对固定成本 | absolute form quotient ==> 绝对形率,绝对形率 | absolute form-factor ==> 绝对形数,绝对形数