The inertia theorem of the quadratic form was conventionally proved by applying the theory of a set of linear equations ( see ( 1) p.214), or by using the dimensional formula of subspace ( see ( 2) p.335).

1、

This paper gives a formula of calculating the dimension of quotient space at first, based on the result, applies homomorphic theorem and isomorphic theorem I to vector space, and then gains a simple proof of dimensional formula and Sylvester theorem respectively.

本文建立了商向量空间的维数公式，在此基础上，应用同态基本定理和第一同构定理获得了对维数公式及Sylvester定理的简单、明了的证明。

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2、

Objective To compare the accuracy of output factor calculation for rectangular inserts of electron beams by using three kinds of algorisms: square root, one dimensional formula and area periphery ration.

目的比较方根式、一维式和面积周长比3种方法计算的电子束矩形照射野输出因子的精确性和可行性。

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3、

Barnsley et al. got a dimensional formula of recurrent Fi F in the condition that the connection matrix is irreducible.

Barnsley等在关联矩阵不可约的条件下，得到了递归FIF的分形维数公式。

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4、

The resulted sound casting shown that the foundry processes were successful by which dimensional accuracy and sound internal quality can be ensured.

实践证明，这种铸造方法能保证外部形状和内部品质；

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5、

At last, the cases of three dimensional surrounding sound systems with cube array and triangular pyramid array models by using these formulas are illustrated for example in this paper.

文中导出了正方排列和正三角梭锥（正四面体）排列两种型式的三维（立体）声系统作为这组公式应用之例。

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6、

Calculation of three dimensional steady sound radiation of vibration objects with spline boundary element method

用样条边界元计算振动体的三维稳态声辐射

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7、

A mathematical analysis of three dimensional surrounding sound field

三维（立体）声场的数学分析

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8、

Based on H ∞ control theory, the feedforward Active Noise Control ( ANC) model of one dimensional sound field in a duct is presented. The design problem of feedforward controller is transformed into the standard problem of H ∞ control.

本文运用H∞控制理论建立管道内一维声场的前馈式噪声主动控制模型，将前馈控制器设计问题转化为标准的H∞控制问题。

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9、

In this paper, the two dimensional sound field is analysised by boundary element method and numerical formulars are brought out after three different procedures are compared.

本文将边界元法应用于二维声场分析，给出了以第二类汉克尔函数为基本解的数值计算公式，比较了处理奇异积分的三种不同方法。

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10、

Boundary element analysis for two dimensional sound fied

二维声场的边界元分析

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11、

Testing method for dimensional change in steam pressing

织物蒸汽压处理后尺寸的变化率试验法

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12、

Testing method for dimensional change of garments: automatic home laundering

测定服装尺寸变化试验法：家庭自动洗衣机洗涤法

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13、

Testing method for dimensional change of wool cloth: relaxation method

毛织物尺寸的变化率测定：松弛试验方法

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14、

A Study on Dimensional Change of Ceramic Shell in Investment Casting

熔模铸造型壳的线量变化研究

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15、

Testing method for dimensional change of cloth: soap solution method

织物尺寸的变化率测定：肥皂溶液法

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16、

Testing method for dimensional change in dry cleaning of fabrics

布在洗涤和干燥时尺寸变化的测定

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A New Technology for Rapid Dimensional Change Testing

快速测试尺寸变化的新技术

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18、

The paper introduced the principle of dimensional homogeneity and π theorem and put forward the mean of dimensional analyses method in the physics teaching. Some examples were discussed by dimensional analyses method in the mechanics teaching.

简述了量纲分析方法中的量纲齐次原则和π定理，指出了量纲分析方法在物理教学中的意义，通过几个实例探讨了量纲分析法在力学教学中的应用。

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19、

By Principle of Dimensional Homogeneity to Determine the Reasonable Safe Range with Safety Factor K from Seism Induced by Explosion

由量纲和谐原理看爆破地震安全距离K系数取值的合理性

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20、

Relationship between Dimensional Stability and Stabilization Time for Curved Wood

弯曲木材尺寸稳定性与陈化时间的关系

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