By the fermentation in shake flask,it was studied that the influence of temperature,the shaking speed of shake flask,the kind and concentration of carbon source and the kind and concentration of nitrogenous source on the production of dicarboxylic acid by fermentation of Candida tropicalis.
In this article we summarized the main type,structure and physiological function and application prospect of the functional Oligosaccharide in order to provide the certain help and the theory basis for the health of all the people.
By means of our inequality and the method of Lyapunov function we study the stability of two kinds of large scale differential systems with time lag and the stability of a higher-order differential equation with time lag.
The design that is subject to this criterion satisfies many kinds of linear optimal criterion and D-optimal criterion on several experiment models at the same time.
Further, by using Lagrangian inversion to obtain a number of summation free formulae directly, the various kinds of rooted Halin maps with up to three parameters have been counted.
A reaction diffusion system arising in the theory of superconductivity is considered and its many kinds of analytic solutions are constructed by the Painlevé analysis and similarity reduction methods.
The size of the Lundberg exponents for different kinds of risk model is compared.
The purpose of this note is to prove, as Lusztig stated, that the Euler characteristic of the variety of Iwahori subalgebras containing a certain nil-elliptic elementnt istcl wherel is the rank of the associated finite type Lie algebra.
BC-type interpolation Macdonald polynomials and binomial formula for Koornwinder polynomials
We consider 3-parametric polynomialsPμ*(x; q, t, s) which replace theAn-series interpolation Macdonald polynomialsPμ*(x; q, t) for theBCn-type root system.
The Yang-Baxter equation admits two classes of elliptic solutions, the vertex type and the face type.
The essential dimension is a numerical invariant of the group; it is often equal to the minimal number of independent parameters required to describe all algebraic objects of a certain type.