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).

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。

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。

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。

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；

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。

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

A mathematical analysis of three dimensional surrounding sound field

三维（立体）声场的数学分析

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。

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。

Boundary element analysis for two dimensional sound fied

二维声场的边界元分析

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

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

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

A Study on Dimensional Change of Ceramic Shell in Investment Casting

熔模铸造型壳的线量变化研究

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

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

A New Technology for Rapid Dimensional Change Testing

快速测试尺寸变化的新技术

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。

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

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