Sequences Functions : especially Exponential and Logarithm Differential equations Complex numbers Probability Integral computing

In order to obtain sharp estimates of the control cost K (T ) associated to non-scalar parabolic systems, it is very important to prove sharp estimates for biorthogonal families to

expansion of the solutions in the star algebra furnishes the Green func- tions for the retarded solutions in explicit form, thus generalizing the previous results

In other words, where the basic floating- point operator ( +, −, ×, /, √ ) is typically 10 times slower on an FPGA than its PC equivalent, an elementary function will be more than

(For the general theory, see the book by Godement, “Topologie alg´ebrique et th´eorie des faisceaux; the book of Ahlfors uses a less flexible presentation, resting on

We show that the linear differential equation of minimal order has coefficients whose degree is cubic in the degree of the function.. We also show that there exists a lin-

we exploit these relations to deduce the power series at t = 0, and the asymptotic behaviour at t = cc, of the various level spacing functions of the random matrix theory..

This paper shows that the interval arithmetic introduced by Moore can be generalized to other types of domains as soon as these domains form a lattice with respect to the inclusion

We can think of applying the statement of theorem 10, which asserts that any holomorphic complex function can be holomorphically extended to dual-complex numbers, to build