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1, This provides an analytic extension beyond the Cauchy horizon which is another part of Kerr space-time.

2, A study is made on Cauchy problem of compressible Eulers equations with relaxation term.

3, A Simple Proof for the generalization of Cauchy mean value theorem is given.

4, The Cauchy problem of Euler equations with degenerate linear damping for a perfect gas is studied in this paper, while the initial gas lies in a compact domain.

5, The relationship between the differentiability of solution of Cauchy problem of weak—hyperbolic differential equationand its lower term is studied in this paper.

6, Cauchy - Buniakowski inequality is one of the important bases of the theories of Euclid ( or unitary ) spaces .

7, The application widespread and flexibility of Cauchy inequality are show by the examples.

8, Through studying the encoding method of Cauchy RS code,(http://sentencedict.com/Cauchy.html) it is found that Cauchy matrix plays an important role in encoding process.

9, In this paper the existence of solution of Cauchy problem for Euler equation is discussed.

10, These modes exhibit a behaviour of ever-increasing frequency as the Cauchy horizon is approached.

11, In all these solutions, the singularity that occurs when corresponds to a Cauchy horizon.

12, In this paper, we prove the existence of the global solutions of Cauchy problem for quasi-linear hyperbolic equation without convexity condition.

13, In this paper, the authors give two propositions to find the conditional extremes of multivariable functions by using simple forms of Cauchy inequality.

14, In the first part of the paper, the another form of Cauchy mean value theorem is studied.

15, The limit theory had progressively developed and finally improved from Newton and Leibniz to Bolzano, Cauchy and Weierstrass.

16, We proved the intermediate value theorem for continuous function at closed interval by constructing auxiliary sequence ingeniously and applying compact theorem as well as Cauchy convergence criterion.

17, A closed form for the exponential generating function of the generalized Cauchy numbers is obtained.

18, The separability criterion of multi - mode continuous variable systems is derived from uncertainty relation and Cauchy - Schwarz inequality.

19, The space M is determined up to isometry by this property, and is called the completion of M . The completion of M can be constructed as a set of equivalence classes of Cauchy sequences in M .

20, It can be expressed as an application of a Cauchy principal value improper integral.

21, In the paper, we discusses the internal cause permeability and unity of Cauchy inequality in the different fields.

22, The middle value theorem consists of Roue. Lagrang and Cauchy theorem.

23, This article discusses the internal cause permeability and unitly of Cauchy inequality in different fields.

24, Men pass away, but their deeds abide . ---- A . L . Cauchy.

25, The paper makes an analysis and inquiry about the differences among the Roue Theorem. Lagrange Thoorem and Cauchy Theorem.