Existence of a multiplicative basis for a finitely spaced module over an aggregate

By [R. Bautista, P. Gabriel, A.V Roiter., L. Salmeron, Representation-finite algebras and multiplicative basis. Invent. Math. 81 (1985) 217-285.], a finite-dimensional algebra having finitely many isoclasses of indecomposable representations admits a multiplicative basis. In Sections 4.10-4.12 of [P. Gabriel, A. V. Roiter, Representations of finite-dimensional algebras. Encyclopaedia of Math. Sci., vol. 73, Algebra 8, Springer-Verlag, 1992] an analogous hypothesis was formulated for finitely spaced modules over an aggregate. We prove this conjecture.Comment: 17 page

Patnubay at Gabay…... Alay Ko = My guidance & assistance, I offer you

Guidance touches every aspect of an individual\u27s personality, his physical, mental, emotional and social aspects. It seeks to help the individual to integrate all his activities using his potentials and environmental opportunities. But individual\u27s personality cannot be developed in a day or in one night. If we want to improve personality specially that of a child, a program of personality de velopment must be crafted and implemented. Therefore, this project has been conceptualized which is anchored on the mission of the university to engage in a social service to the community. The project is an extension service of the college to the children housed at Felicisimo-Aurora Bahay Kalinga, Inc. located in Baras, Rizal. Its main focus is to provide guidance services for the emotional, social, moral and psychological stability of the children. The need of giving attention to the whole individual, his development and adjustments must be prioritized. Such activity assi st the children to become productive, responsive, morally and socially responsible individuals for the upliftment and a quality life towards self-reliance and productivity, thus, become successful individuals. The children in the institution come from broken families, street children, deserted/abandoned/neglected by their parents, orphans, stow-away children, child of separated parents, and children who are brought by their relatives who cannot afford to support their material and non-material needs. These children need love, affection and sense of security for their psychological stability. It is the hope of this project tha t through this engagement to the undeserved and underprivileged children in the community, the proponent could touch the lives of e very child A LOVE JOURNEY towards personality adjustments and development. The project emphasizes the promotion of efficient and happy lives and sustains through the conduct of different activities s uch as Getting to Know Each Other , Talent and Skill Development (Singing, Dancing, Art, etc), Counseling Sessions, Values Reorientation Lessons and Socialization Activities. This is done with the assistance of the faculty and student facilitators, whose academi c knowledge is being put into practice through social service. The activities of the project are evaluated to assess its impact to the children. It also served as the basis for the improv ement of the activities conducted

Filipino Students’ Preferred Motivational Strategies in Science: A Cross-Sectional Survey

A multitude of strategies are being utilized by the teachers to engage students in the classroom activities and foster critical thinking which can ignite their interest in the lesson. However, very few researches have been conducted on students’ preferences in these different motivational strategies. This cross-sectional survey research explores the preferred motivational strategies in science instruction among 106 high school students in a public secondary school in Zambales, Philippines. The motivational strategies were classified based on Howard Gardner’s theory on multiple intelligences. The study found out that the students moderately preferred visual-auditory (M=2.88), logical-mathematical (M=2.70) and kinesthetic (M=2.60) motivational strategies. Science trivia, picture presentation, and mini labwork are the most common motivational strategies used by Science teachers. The study recommends that teachers may utilize engaging, relevant, and learner-centered motivational strategies to make Science instruction more alive and more effective. The use of varied strategies to arouse students’ interest may also be observed to cater the students’ multiple intelligences

Elliptic flow in proton-proton collisions at 7 TeV

The angular correlations measured in proton-proton collisions at 7 TeV are decomposed into contributions from back to back emission and elliptic flow. Modeling the dominant term in the correlation functions as a momentum conservation effect or as an effect of the initial transverse velocity of the source, the remaining elliptic flow component can be estimated. The elliptic flow coefficient extracted from the CMS Collaboration data is 0.04-0.08. No additional small-angle, ridge-like correlations are needed to explain the experimental data

Radiative and Auger decay data for modelling nickel K lines

Radiative and Auger decay data have been calculated for modelling the K lines in ions of the nickel isonuclear sequence, from Ni$^+$ up to Ni$^{27+}$. Level energies, transition wavelengths, radiative transition probabilities, and radiative and Auger widths have been determined using Cowan's Hartree--Fock with Relativistic corrections (HFR) method. Auger widths for the third-row ions (Ni$^+$--Ni$^{10+}$) have been computed using single-configuration average (SCA) compact formulae. Results are compared with data sets computed with the AUTOSTRUCTURE and MCDF atomic structure codes and with available experimental and theoretical values, mainly in highly ionized ions and in the solid state.Comment: submitted to ApJS. 42 pages. 12 figure

Statistical properties of Lorenz like flows, recent developments and perspectives

We comment on mathematical results about the statistical behavior of Lorenz equations an its attractor, and more generally to the class of singular hyperbolic systems. The mathematical theory of such kind of systems turned out to be surprisingly difficult. It is remarkable that a rigorous proof of the existence of the Lorenz attractor was presented only around the year 2000 with a computer assisted proof together with an extension of the hyperbolic theory developed to encompass attractors robustly containing equilibria. We present some of the main results on the statisitcal behavior of such systems. We show that for attractors of three-dimensional flows, robust chaotic behavior is equivalent to the existence of certain hyperbolic structures, known as singular-hyperbolicity. These structures, in turn, are associated to the existence of physical measures: \emph{in low dimensions, robust chaotic behavior for flows ensures the existence of a physical measure}. We then give more details on recent results on the dynamics of singular-hyperbolic (Lorenz-like) attractors.Comment: 40 pages; 10 figures; Keywords: sensitive dependence on initial conditions, physical measure, singular-hyperbolicity, expansiveness, robust attractor, robust chaotic flow, positive Lyapunov exponent, large deviations, hitting and recurrence times. Minor typos corrected and precise acknowledgments of financial support added. To appear in Int J of Bif and Chaos in App Sciences and Engineerin

Technical Evolution of Ceramic Tile Printing

[EN] Ceramic tile decorating techniques have evolved significantly in recent years. Digital inkjet printing technology has enabled digital systems to be used for the direct decoration of ceramic tiles, revolutionizing ceramic tile decoration and providing many advantages over traditional decoration techniques. It was the formulation of inks with soluble and vitrifiable stains that allowed inkjet printing technology to be introduced into ceramic tile decoration. The incorporation of milled inorganic pigments into the inks broadened the available color palette. However, the colloidal instability of these inks and the constraints of the printing heads themselves made it necessary to reduce pigment particle size, thus limiting color saturation and the color gamut. In order to increase color saturation and obtain a set of pigmented inks with colors more closely resembling CMYK colors, pigments with larger particle sizes need to be used. Indeed, other digital decorating techniques, such as xerography, allow larger particle sizes to be used, while also providing the advantages associated with digital decoration. However, the implementation of this technique for ceramic tile decoration requires the development of appropriate ceramic toners and adaptation of printing machines. This article reviews the technical evolution of ceramic tile printing and describes the development of a prototype, based on xerographic printing, that is able to print ceramic tiles directly and provides greater color intensity and a wider color gamut.40140756

Properties of the ionized gas in HH202. II: Results from echelle spectrophotometry with UVES

We present results of deep echelle spectrophotometry of the brightest knot of the HH202 in the Orion Nebula --HH202-S-- using the ultraviolet Visual Echelle Spectrograph (UVES). The high spectral resolution has permitted to separate the component associated with the ambient gas from that associated with the gas flow. We derive electron densities and temperatures for both components, as well as the chemical abundances of several ions and elements from collisionally excited lines, including the first determinations of Ca^{+} and Cr^{+} abundances in the Orion Nebula. We also calculate the He^{+}, C^{2+}, O^{+} and O^{2+} abundances from recombination lines. The difference between the O^{2+} abundances determined from collisionally excited and recombination lines --the so-called abundance discrepancy factor-- is 0.35 dex and 0.11 dex for the shock and nebular components, respectively. Assuming that the abundance discrepancy is produced by spatial variations in the electron temperature, we derive values of the temperature fluctuation parameter, t^2, of 0.050 and 0.016, for the shock and nebular components, respectively. Interestingly, we obtain almost coincident t^2 values for both components from the analysis of the intensity ratios of He I lines. We find significant departures from case B predictions in the Balmer and Paschen flux ratios of lines of high principal quantum number n. We analyze the ionization structure of HH202-S, finding enough evidence to conclude that the flow of HH202-S has compressed the ambient gas inside the nebula trapping the ionization front. We measure a strong increase of the total abundances of nickel and iron in the shock component, the abundance pattern and the results of photoionization models for both components are consistent with the partial destruction of dust after the passage of the shock wave in HH202-S.Comment: 23 pages, 7 figures. Accepted for publication in MNRA