the concept of derivative which has widely been applied in mathematics and the other related disciplines, is a very important concept among differential calculus.

This paper introduces a way and its application to calculate positioning error using principle of approximate differential calculus of higher mathematics in the course of designing clamping appratus,so it is simplified to analyse and calculate the complicated positioning error.

Two methods of solution,one by the differential calculus and the other by the resolution of velocity,are introduced and compared; the third method,starting from the concept of work and energy,is provided and analysed; finally,the fourth method,which is a method of geometry,is described.

With differential calculus and principles of precision analysis a mathematics formula on spring being out of shape error and relative factors error is derived, and given a simple method of dynamometric spring precision design.

On the basis of the Tellegen's Theorem and the concept of multi-element --function differential calculus, this paper makes a systematic derivation of the formulae of the first order differential sensitivity used in a nonlinear di- ret current network.

This approach could avoid the kinetic compensation effect, and in the course of calculation almost no hypothesis or approximation was made and the error caused by differential calculus could be reduced on account of the multiple-heating rate method.

The mixed traffic continuum equation including overtaking flow and the mixed traffic momentum differentiating equation were founded to form the dynamical model of mixed traffic flow by means of differential calculus, the continuum equation and momentum differential equation.

Traffic momentum differentiating equation and Euler's equation for segment are founded by means of differential calculus. Comparing with hydrodynamics and the second Newton's law, traffic pressure, viscosity factor and viscosity resistance are proposed which can be easily to calculate.

Considering the overtaking flow,this paper built the continuum equation of mixed traffic flow,set up the kinematics differential equation by means of differential calculus.

Some applications of free differential calculus in Group theory

In this paper, we construct the algebra of differential forms with exterior differential satisfying d3=0 on the two-dimensional quantum plane assuming that the homomorphism defining first-order differential calculus is linear in variables.

Poincaré-Lie algebra and noncommutative differential calculus

A realization of Poincaré-Lie algebra in terms of noncommutative differential calculus was constructed.

This leads to a colored generalization of the R-matrix procedure to construct a bicovariant differential calculus on the colored version of GLq(2).

This paper deals with the relationship of ctDNA and CMS of maize,wheat and rape.Intramolecular heterogeneity and fragmental patterns of DNA digested with restriction endo-nucleases were compared and analyzed.For this purpose methods of agarose gel electropho-resis and two dimensional gel electrophoresis with denaturated solvent concentration gradient were applied.1.Map of differential calculus during heat denaturation indicated that ctDNA of sterile line in maize presented three melting regions.This meant...

This paper deals with the relationship of ctDNA and CMS of maize,wheat and rape.Intramolecular heterogeneity and fragmental patterns of DNA digested with restriction endo-nucleases were compared and analyzed.For this purpose methods of agarose gel electropho-resis and two dimensional gel electrophoresis with denaturated solvent concentration gradient were applied.1.Map of differential calculus during heat denaturation indicated that ctDNA of sterile line in maize presented three melting regions.This meant that its base sequences were of heterogeneity.But ctDNA of its maintainer was homogenous.2.Maize ctDNA was digested with both EcoRI and BamHI,wheat and rape ctDNA digested with EcoRI only.Fragmental patterns obtained indicated that no significant differences between sterile lines and their maintainers were observed.But in rape the sterile line lost one fragment presented in its maintainer.3.Results obtained from two dimensional electrophoresis showed that remarkable differences both in number and relative positions of separated fragments were observed between sterile lines and their respective maintainers in all the three tested crops,no matter whether there were differences in one dimensional gel electrophoresis or not.These meant that there were some relations between ctDNA and CMS.

In this paper, the writer has formulated by the differential calculus method a calculating equation for the critical velocity of the Bingham two-phase fluid. A series of hydrotransport experiments for the coarse-sized rocky material (d:= 3.63mm) were carried out using a 42mm dia. horizontal pipe-line and three kinds of Kaolin slurries of different concentrations by wt. as the media. It has been shown from tests that the value of the critical velo-city calculated is fairy coincident with the value obtained...

In this paper, the writer has formulated by the differential calculus method a calculating equation for the critical velocity of the Bingham two-phase fluid. A series of hydrotransport experiments for the coarse-sized rocky material (d:= 3.63mm) were carried out using a 42mm dia. horizontal pipe-line and three kinds of Kaolin slurries of different concentrations by wt. as the media. It has been shown from tests that the value of the critical velo-city calculated is fairy coincident with the value obtained from the experi-ments.

The article proves the difference in the differential calculus between rotation transformation tensors around moving and resting axises and explains it with a practical example.The calculation for- mula in the differential calculus of rotation transformation tensor around the moving axis is reckoned in the article and it points out that the differ ntial to the resting axis is an special example of the moving axis and its explanation is given in geometry,