910 research outputs found
The Cauchy-Kowalevski Theorem
We give a recursive description of polynomials with non-negative
rational coefficients, which are coefficients of expansion in a power series solutions
of partial differential equations in Cauchy-Kowalevski theorem
A Restoration Method for Impulsive Functions
A method is presented for enhancing the resolution of impulsive functions which have been degraded by a known convolutional disturbance and by the addition of white noise. An autoregressive model is employed to represent the spectrum of the ideally resolved impulsive function. The method is flexible in that it allows constraints to be incorporated into the resolution scheme. Two quite diverse examples are presented as illustration
On C0-sufficiency of jets
The paper presents some details of the proofs by Kuiper and
Kuo, and Bochnak and Łojasiewicz that refer to the impact of the Łojasiewicz
exponent of gradient mappings on C0-sufficiency of jets
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