124,086 research outputs found
Shrinking a large dataset to identify variables associated with increased risk of Plasmodium falciparum infection in Western Kenya
Large datasets are often not amenable to analysis using traditional single-step approaches. Here, our general objective was to apply imputation techniques, principal component analysis (PCA), elastic net and generalized linear models to a large dataset in a systematic approach to extract the most meaningful predictors for a health outcome. We extracted predictors for Plasmodium falciparum infection, from a large covariate dataset while facing limited numbers of observations, using data from the People, Animals, and their Zoonoses (PAZ) project to demonstrate these techniques: data collected from 415 homesteads in western Kenya, contained over 1500 variables that describe the health, environment, and social factors of the humans, livestock, and the homesteads in which they reside. The wide, sparse dataset was simplified to 42 predictors of P. falciparum malaria infection and wealth rankings were produced for all homesteads. The 42 predictors make biological sense and are supported by previous studies. This systematic data-mining approach we used would make many large datasets more manageable and informative for decision-making processes and health policy prioritization
Bicomplex Quantum Mechanics: II. The Hilbert Space
Using the bicomplex numbers which is a commutative ring with
zero divisors defined by where , we construct hyperbolic and bicomplex Hilbert spaces.
Linear functionals and dual spaces are considered and properties of linear
operators are obtained; in particular it is established that the eigenvalues of
a bicomplex self-adjoint operator are in the set of hyperbolic numbers.Comment: 25 pages, no figur
Bicomplex quantum mechanics: I. The generalized Schr\"odinger equation
We introduce the set of bicomplex numbers which is a commutative
ring with zero divisors defined by where
$\bold{i^{\text 2}_1}=-1, \bold{i^{\text 2}_2}=-1, \bold{j}^2=1,\
\bold{i_1}\bold{i_2}=\bold{j}=\bold{i_2}\bold{i_1}$. We present the conjugates
and the moduli associated with the bicomplex numbers. Then we study the
bicomplex Schr\"odinger equation and found the continuity equations. The
discrete symmetries of the system of equations describing the bicomplex
Schr\"odinger equation are obtained. Finally, we study the bicomplex Born
formulas under the discrete symetries. We obtain the standard Born's formula
for the class of bicomplex wave functions having a null hyperbolic angle
A comment on "The Cauchy problem of f(R)- gravity", Class. Quantum Grav., 24, 5667 (2007), arXiv:0709.4414
A critical comment on [N. Lanahan--Tremblay and V. Faraoni, 2007, {\it Class.
Quantum Grav.}, {\bf 24}, 5667, arXiv:0709.4414] is given discussing the
well-formulation of the Chauchy problem for -gravity in metric-affine
theories.Comment: 3 page
Invariants of Triangular Lie Algebras
Triangular Lie algebras are the Lie algebras which can be faithfully
represented by triangular matrices of any finite size over the real/complex
number field. In the paper invariants ('generalized Casimir operators') are
found for three classes of Lie algebras, namely those which are either strictly
or non-strictly triangular, and for so-called special upper triangular Lie
algebras. Algebraic algorithm of [J. Phys. A: Math. Gen., 2006, V.39, 5749;
math-ph/0602046], developed further in [J. Phys. A: Math. Theor., 2007, V.40,
113; math-ph/0606045], is used to determine the invariants. A conjecture of [J.
Phys. A: Math. Gen., 2001, V.34, 9085], concerning the number of independent
invariants and their form, is corroborated.Comment: LaTeX2e, 16 pages; misprints are corrected, some proofs are extende
The Tremblay-Turbiner-Winternitz system on spherical and hyperbolic spaces : Superintegrability, curvature-dependent formalism and complex factorization
The higher-order superintegrability of the Tremblay-Turbiner-Winternitz
system (related to the harmonic oscillator) is studied on the two-dimensional
spherical and hiperbolic spaces, S_\k^2 (\k>0), and H_{\k}^2 (\k<0).
The curvature is considered as a parameter and all the results are
formulated in explicit dependence of . The idea is that the additional
constant of motion can be factorized as the product of powers of two particular
rather simple complex functions (here denoted by and ). This
technique leads to a proof of the superintegrability of the
Tremblay-Turbiner-Winternitz system on S_\k^2 (\k>0) and H_{\k}^2
(\k<0), and to the explicit expression of the constants of motion.Comment: one figur
Voici le groupe du personnel du Messager [Article]
Undated article clipping from Le Messager identifying some of the staff of 1928: Elmyra Tremblay, Albert Bédard Philibert Buteau, Edmond Martin, Yvonne Blais, Dominique Dionne, F. X. Guay, Louis-Philippe Gagné. Valdor-L. Couture, Jean-Baptiste Couture, Faust Couture, Adélard Roy, Omer Gauvin, Liane Michaud (Mme. Gérard Marcotte), Fernand Martin, Irma Poirier (Mme. J.-Raoul Plante), Léonard Michaud, J.-E.-N. Bohémier, Mme. Henri F. Roy (Loretta Vachon), Eugène Gélinas, Delia DeBlois (Mme Flavius Dionne), and Joseph Girard.https://digitalcommons.usm.maine.edu/le-messager/1016/thumbnail.jp
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