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Chapter Seven also has a discussion about the philosophical meaning ofaxiomatic thought in logicism and the latest development of the foundational problemsof math in the late 20〓 century.

第七章还对逻辑主义关于"公理化思想"的哲学意义和"数学基础问题"在二十世纪末期的新进展进行了论述。

Using integral equation theory and"contraction mapping"theorem, we prove that this model has a unique solution.

接着用压缩映象原理证明了此模型解的存在唯一性,这为讨论经济系统的稳定性奠定了数学基础,又通过对定常的投资方程渐近稳定性的研究和非定常投资方程Liapunov稳定性研究,我们分别讨论了积累率、劳动力和科技进步对经济增长的作用,进而指出只有依靠科技进步才能实现经济的持续增长,才能真正提高人民的生活水平。

Matrix and algebra equation groups are the common mathematics basis carrying on three term basis calculations of power system.

矩阵计算及代数方程组的解法是进行电力系统三项基本计算的共同数学基础

The mathematical foundation of state space analysis method is linear algebra and matrix theory, whose essential issues are controllability and observability.

状态空间分析方法的数学基础是线性代数和矩阵论,能控性和能观性是状态分析方法的根本问题。

Computer arithmetic is the theoretical foundation of operations in microprocessor and transcendental function is an important branch of it.

计算机算术是微处理器运算的数学基础,其中一个非常重要的部分就是超越函数的计算问题。

And the capabilities and limitations of this method are accessed. Then a testing system is designed to detect current of micro-ampere to milliampere level. The experimental results show that the acoustic response is proportional to the current in the tissue.

基于连续介质和电磁学理论,建立偶极子模型,为磁声耦合检测神经电流提供数学基础,得到此方法分析生物体内和体外电流的能力和限制。

Analysis of grey models between the environmental essential parameters of seawater and the growth of Prorocentrum sigmoides Bohm in Dapeng Bay,South China Sea;2. The relations between the growth of Noctiluca scintillans, Prorocentrum sigmoides Bohm ,zooplankton and physical,chemical factors of seawater were studied in this paper.

研究大鹏湾夜光藻、反曲原甲藻、浮游动物种群增殖与浮游动物和海水理化因子之间的关系,采用的方法是根据它们的种群增殖态势与浮游动物和理化因子的比较,依据空间理论的数学基础,按照规范性、偶对称性、整体性和接近性这四条原则,确定参考数列(母序列:夜光藻和反曲原甲藻、浮游动物)和若干比较数列(子序列:浮游动物和海水理化因子)之间的关联度。

Using the generalized degree of A-proper mappings, the existence of periodic solutions for nonlinear vibration is established.

应用A-proper映象的广义拓扑度理论,对多自由度非线性振动系统周期解的存在性给出了严密的数学基础

The study of numerical manifold method provides a mathematics base for some problems, such as seepage of rock slope, deformation and stability analysis.

对数值流形方法进行的研究,为岩石边坡渗流、变形与稳定分析等问题提供了数学基础

The contents of this course include: the mathematical basis of FEM, the generic solution principles and expressions of elastic mechanics issue, the construction of element and its interpolation function, iso-parametric element and numerical integral, solution of linear equations, some practical issues of FEM modeling, brief introduction to typical commercial FEM packages, FEM for truss, plate blending and shell, and FEM for heat exchange and dynamics.

课程内容主要包括:有限单元法的数学基础、弹性力学问题有限单元法的一般原理和表达格式、单元和插值函数的构造、等参单元和数值积分、线性方程组解法、有限元建模的若干实际问题、典型商用有限元分析软件简介、杆件结构力学问题的有限单元法、平板弯曲问题的有限单元法、一般壳体问题的有限单元法、热传导问题的有限单元法、动力学问题的有限单元法等。

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