Hello, this is beta version of diophantus. If you want to report about a mistake, please, write to hello@diophantus.org

Soileau Kerry M. | Soileau Kerry Michael

Kerry P. | Kerry Paul | Kerry Deanna R. -M.

M Rajesh Kumar | M Ajith K. | M | M Anand Kumar | M Malaya Kumar Biswal | M Gurunath Reddy | M J. L. Lucio | M Rahul | M Sasikumar | M Shyam Mohan

15 Sep 2011
math.GM
arxiv.org/abs/1109.4025

We define the eigenderivatives of a linear operator on any real or complex Banach space, and give a sufficient condition for their existence.

13 Jul 2010
math.GM
arxiv.org/abs/1007.3440

We generalize the concept of disjunction.

09 Dec 2008
math.GM
arxiv.org/abs/0812.1728

We introduce the concept of a consistency space. The idea of the consistency space is motivated by the question, Given only the collection of sets of sentences which are logically consistent, is it possible to reconstruct their lattice structure?

10 Jun 2008
math.GM
arxiv.org/abs/0806.1721

We show how to reduce the problem of solving members of a certain family of nonlinear differential equations to that of solving some corresponding linear differential equations.

14 Nov 2007
math.GM
arxiv.org/abs/0711.2241

If A is infinite and well-ordered, then |2^A|<=|Part(A)|<=|A^A|.

13 Sep 2007
math.FA math.GM
arxiv.org/abs/0709.2155

In this paper we show how to approximate ("learn") a function f, where X and Y are metric spaces.

20 Jul 2007
math.GM
arxiv.org/abs/0707.3143

Note that the family of closed curves C_N={(x,y)\in R^2;x^(2N)+y^(2N)=1} for N=1,2,3,... approaches the boundary of [-1,1]^2 as N \to \infty. In this paper we exhibit a natural parameterization of these curves and generalize to a larger class of equations.

14 May 2007
math.RA math.AC
arxiv.org/abs/0705.2063

In this paper, we exhibit the creation of the maximal integral domain mid(R) generated by a nonzero commutative ring R.

11 May 2007
math.FA math.SP
arxiv.org/abs/0705.1708

Suppose we want to find the eigenvalues and eigenvectors for the linear operator L, and suppose that we have solved this problem for some other "nearby" operator K. In this paper we show how to represent the eigenvalues and eigenvectors of L in terms of the corresponding properties of K.

08 May 2007
astro-ph
arxiv.org/abs/0705.1155

Using only a single tracking satellite capable of only range measurements to an orbiting object in an unknown Keplerian orbit, it is theoretically possible to calculate the orbit and a current state vector. In this paper we derive an algorithm that can perform this calculation.