1,712 research outputs found
Measurements design and phenomena discrimination
The construction of measurements suitable for discriminating signal
components produced by phenomena of different types is considered. The required
measurements should be capable of cancelling out those signal components which
are to be ignored when focusing on a phenomenon of interest. Under the
hypothesis that the subspaces hosting the signal components produced by each
phenomenon are complementary, their discrimination is accomplished by
measurements giving rise to the appropriate oblique projector operator. The
subspace onto which the operator should project is selected by nonlinear
techniques in line with adaptive pursuit strategies
Constructive approximations to the q=1/2 maximum entropy distribution from redundant and noisy data
An approach adopted to consider the problem of constructing the q=1/2 maximum entropy distribution from redundant and noisy data was discussed. The advantage of this generalized approach, when dealing with very noisy data was illustrated by a numerical simulation. A strategy was proposed that evolved through different steps such as independent constraints were first preselected by recourse to a data independent technique. A backward approach was also proposed for reducing the parameters of such distributions. It was found that the sub-optimal strategies could be utilized in a broad range of situations
On the truncation of the harmonic oscillator wavepacket
We present an interesting result regarding the implication of truncating the
wavepacket of the harmonic oscillator. We show that disregarding the
non-significant tails of a function which is the superposition of
eigenfunctions of the harmonic oscillator has a remarkable consequence: namely,
there exist infinitely many different superpositions giving rise to the same
function on the interval. Uniqueness, in the case of a wavepacket, is restored
by a postulate of quantum mechanics
An intrinsic Proper Generalized Decomposition for parametric symmetric elliptic problems
We introduce in this paper a technique for the reduced order approximation of
parametric symmetric elliptic partial differential equations. For any given
dimension, we prove the existence of an optimal subspace of at most that
dimension which realizes the best approximation in mean of the error with
respect to the parameter in the quadratic norm associated to the elliptic
operator, between the exact solution and the Galerkin solution calculated on
the subspace. This is analogous to the best approximation property of the
Proper Orthogonal Decomposition (POD) subspaces, excepting that in our case the
norm is parameter-depending, and then the POD optimal sub-spaces cannot be
characterized by means of a spectral problem. We apply a deflation technique to
build a series of approximating solutions on finite-dimensional optimal
subspaces, directly in the on-line step. We prove that the partial sums
converge to the continuous solutions, in mean quadratic elliptic norm.Comment: 18 page
Aproximación a los problemas de aprendizaje de la estructura y formación del suelo en el alumnado de 12 a 17 años
In a longitudinal study, carried out with 12- 17 year old students, to know learning obstacles and their evolution through schooling years, on the scientific concept of soil, we have found important data of learning problems on these topics, showing the established inefficiency of transmission of scientific knowledge to conceptual change. Lastly, we point out some implications for the teaching and significative learning of these concepts
PUK34 EVALUATION OF TWO TENSION FREE VAGINAL TAPES WITH URODYNAMICS AND ICIQ-UI SF QUESTIONNAIRE
On the existence and asymptotic stability of solutions for unsteady mixing-layer models
We introduce in this paper some elements for the mathematical analysis of turbulence models for oceanic surface mixing layers. We consider Richardson-number based vertical eddy diffusion models. We prove the existence of unsteady solutions if the initial condition is close to an equilibrium, via the inverse function theorem in Banach spaces. We use this result to prove the non-linear asymptotic stability of equilibrium solutions
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