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  differential
    Auxiliary Discussion of Differential Equation of Motion of Body with Variable Mass
    变质量物体运动微分方程补充讨论
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    A Study on Quasi-static Process Differential Equation of Ideal Gas
    关于理想气体准静态过程微分方程的探讨
短句来源
    Applications of Idea and Method of Ordinary Differential Equations in Middle School
    常微分方程的思想方法及在中学数学中的应用
短句来源
    The Application of Differential in the Elementary Mathematics
    微分在初等数学中的应用
短句来源
    This paper discusses the applications of idea and method of ordinary differential equations in middle school mathematics Typical material has been provided for the established viewpoint of the middle school mathematics of ordinary differential equations.
    在常微分方程课程教学研究中 ,讨论了常微分方程的思想方法及在中学数学中的应用 ,对系统地建立常微分方程高观点下的中学数学 ,提供典型素材
短句来源
  the differential
    Summation of restrain progression is discussed from the perspective of the differential equation in three aspects.
    从微分方程的角度出发 ,分三个方面讨论了一类收敛级数求和问题的具体解法。
短句来源
    This paper explores some thoughts of advanced mathematics often involved in physics teaching in middle schools,which are the integral thought,the differential thought,the infinite thought and the probability thought, etc. These thoughts are not established on the basis of the abstract,mathematical or extensive mathematics models, but on the basis which the students have made the physics concepts,images and models clear,After students make sure what they study,the thoughts may provide a special vivid and active approach to physics problems for them.
    中学物理中,很多地方都体现了一些高等数学的思想:积分思想、微分思想、无穷思想、概率思想等等,它不是从抽象的、思辨的、广泛的数学模型出发,而是在学生具有清晰的物理概念、图象、模型的基础上,在确立了合适的研究对象后为学生提供了一种巧妙特别、思想活跃的解决物理问题的方法。
短句来源
  ordinary differential
    Applications of Idea and Method of Ordinary Differential Equations in Middle School
    常微分方程的思想方法及在中学数学中的应用
短句来源
    This paper discusses the applications of idea and method of ordinary differential equations in middle school mathematics Typical material has been provided for the established viewpoint of the middle school mathematics of ordinary differential equations.
    在常微分方程课程教学研究中 ,讨论了常微分方程的思想方法及在中学数学中的应用 ,对系统地建立常微分方程高观点下的中学数学 ,提供典型素材
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  differential
In our paper [KR] we began a systematic study of representations of the universal central extension[InlineEquation not available: see fulltext.] of the Lie algebra of differential operators on the circle.
      
We express them in terms of generatorsEij ofU(gl(n)) and as differential operators on the space of matrices These expressions are a direct generalization of the classical Capelli identities.
      
Quantum integrable systems and differential Galois theory
      
This paper is devoted to a systematic study of quantum completely integrable systems (i.e., complete systems of commuting differential operators) from the point of view of algebraic geometry.
      
In particular, we show that the differential Galois group of this eigenvalue problem is reductive at generic eigenvalues.
      
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  the differential
In particular, we show that the differential Galois group of this eigenvalue problem is reductive at generic eigenvalues.
      
This implies that a system is algebraically integrable (i.e., its eigenvalue problem is explicitly solvable in quadratures) if and only if the differential Galois group is commutative for generic eigenvalues.
      
Of special interest are the Mellin operators of differentiation and integration, more correctly of anti-differentiation, enabling one to establish the fundamental theorem of the differential and integral calculus in the Mellin frame.
      
It is shown that there is a similar identity when the inner product is replaced by an indefinite quadratic formq and h is a Л-harmonic distribution, where Л is the differential operator canonically associated toq.
      
The minimum energy solutions of the differential equations are proven to correspond to the tight frames that minimize the error term.
      
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  ordinary differential
The method converts the frame problem into a set of ordinary differential equations using concepts from classical mechanics and orthogonal group techniques.
      
On the existence of periodic solutions for the third-order nonlinear ordinary differential equations
      
In this paper, the existence of periodic solution for the third-order nonlinear ordinary differential equation of the form {} is considered, where f, g, h and p are the continuous functions, and p(t+T)=p(t).
      
Uniqueness of positive solutions of a class of quasilinear ordinary differential equations
      
Uniqueness results are obtained for positive solutions of a class of quasilinear ordinary differential equations.
      
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  derivative
Aliasing error bounds are derived for one- and two-channel sampling series analogous to the Whittaker-Kotel'nikov-Shannon series, and for the multi-band sampling series, and a "derivative" extension of it, due to Dodson, Beaty, et al.
      
Examples are considered, and the frame bounds in the case of sampling of the signal and its first derivative are calculated explicitly.
      
This article also gives a single necessary-and-sufficient condition for a holomorphic function to be the transform of a function f such that any derivative of f multiplied by any polynomial is in Lp (d, ρ).
      
Applying a special derivative reproducing property, we show that when the kernel is real analytic, every function from the RKHS is real analytic.
      
5-Aza analogs were prepared of several tryptamine derivatives and a skatole derivative known to bind at human 5-HT6 receptors and evaluated to determine if they bind in a manner similar to their indolic analogs.
      
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