Frames: a maximum entropy statistical estimate of the inverse problem

A maximum entropy statistical treatment of an inverse problem concerning frame theory is presented. The problem arises from the fact that a frame is an overcomplete set of vectors that defines a mapping with no unique inverse. Although any vector in the concomitant space can be expressed as a linear combination of frame elements, the coefficients of the expansion are not unique. Frame theory guarantees the existence of a set of coefficients which is “optimal” in a minimum norm sense. We show here that these coefficients are also “optimal” from a maximum entropy viewpoint.

The maximum voltage drop in an on-chip power distribution network: analysis of square, triangular and hexagonal power pad arrangements

A mathematical model of the voltage drop which arises in on-chip power distribution networks is used to compare the maximum voltage drop in the case of different geometric arrangements of the pads supplying power to the chip. These include the square or Manhattan power pad arrangement, which currently predominates, as well as equilateral triangular and hexagonal arrangements. In agreement with the findings in the literature and with physical and SPICE models, the equilateral triangular power pad arrangement is found to minimize the maximum voltage drop. This headline finding is a consequence of relatively simple formulas for the voltage drop, with explicit error bounds, which are established using complex analysis techniques, and elliptic functions in particular.

Soft tissue artifact distribution on lower limbs during treadmill gait: Influence of skin markers' location on cluster design.

Segment poses and joint kinematics estimated from skin markers are highly affected by soft tissue artifact (STA) and its rigid motion component (STARM). While four marker-clusters could decrease the STA non-rigid motion during gait activity, other data, such as marker location or STARM patterns, would be crucial to compensate for STA in clinical gait analysis. The present study proposed 1) to devise a comprehensive average map illustrating the spatial distribution of STA for the lower limb during treadmill gait and 2) to analyze STARM from four marker-clusters assigned to areas extracted from spatial distribution. All experiments were realized using a stereophotogrammetric system to track the skin markers and a bi-plane fluoroscopic system to track the knee prosthesis. Computation of the spatial distribution of STA was realized on 19 subjects using 80 markers apposed on the lower limb. Three different areas were extracted from the distribution map of the thigh. The marker displacement reached a maximum of 24.9mm and 15.3mm in the proximal areas of thigh and shank, respectively. STARM was larger on thigh than the shank with RMS error in cluster orientations between 1.2° and 8.1°. The translation RMS errors were also large (3.0mm to 16.2mm). No marker-cluster correctly compensated for STARM. However, the coefficient of multiple correlations exhibited excellent scores between skin and bone kinematics, as well as for STARM between subjects. These correlations highlight dependencies between STARM and the kinematic components. This study provides new insights for modeling STARM for gait activity.

Radial displacement of a fluid annulus in a rotating Hele-Shaw cell

The radial displacement of a fluid annulus in a rotating circular HeleShaw cell has been investigated experimentally. It has been found that the flow depends sensitively on the wetting conditions at the outer interface. Displacements in a prewet cell are well described by Darcy"s law in a wide range of experimental parameters, with little influence of capillary effects. In a dry cell, however, a more careful analysis of the interfacemotion is required; the interplay between a gradual loss of fluid at the inner interface, and the dependence of capillary forces at the outer interface on interfacial velocity and dynamic contact angle, result in a constant velocity for the interfaces. The experimental results in this case correlate in the form of an empirical scaling relation between the capillary number Ca and a dimensionless group, related to the ratio of centrifugal to capillary forces, which spans about three orders of magnitude in both quantities. Finally, the relative thickness of the coating film left by the inner interface is obtained as a function of Ca.

Impact of the Femoral Head Position on Moment Arms in Total Hip Arthroplasty: A Parametric Finite Element Study.

BACKGROUND: Although the importance of accurate femoral reconstruction to achieve a good functional outcome is well documented, quantitative data on the effects of a displacement of the femoral center of rotation on moment arms are scarce. The purpose of this study was to calculate moment arms after nonanatomical femoral reconstruction. METHODS: Finite element models of 15 patients including the pelvis, the femur, and the gluteal muscles were developed. Moment arms were calculated within the native anatomy and compared to distinct displacement of the femoral center of rotation (leg lengthening of 10 mm, loss of femoral offset of 20%, anteversion ±10°, and fixed anteversion at 15°). Calculations were performed within the range of motion observed during a normal gait cycle. RESULTS: Although with all evaluated displacements of the femoral center of rotation, the abductor moment arm remained positive, some fibers initially contributing to extension became antagonists (flexors) and vice versa. A loss of 20% of femoral offset led to an average decrease of 15% of abductor moment. Femoral lengthening and changes in femoral anteversion (±10°, fixed at 15°) led to minimal changes in abductor moment arms (maximum change of 5%). Native femoral anteversion correlated with the changes in moment arms induced by the 5 variations of reconstruction. CONCLUSION: Accurate reconstruction of offset is important to maintaining abductor moment arms, while changes of femoral rotation had minimal effects. Patients with larger native femoral anteversion appear to be more susceptible to femoral head displacements.

Caracterització del temps de vol en relació amb variables biomecàniques de l’estirada en l’arrencada d’halterofília

L’objecte del present estudi és caracteritzar el temps de vol (Tv) de la fase aèria en l’exercici d’arrencada en halterofília. Es descriu el seu comportament en funció de l’increment progressiu de la càrrega i en relació a variables biomecàniques de l’estirada, així com la seva evolució en un cicle d’entrenament. Es va fer un test màxim de càrregues progressives amb set halterofilistes (n = 7) de competició. Mitjançant els sistemes de valoració Musclelab i Chronojump es van registrar els valors de: força (F), potència (P), velocitat (V), pic de velocitat (pV) i alçada relativa (Hrel ) de la barra en l’estirada, al costat del Tv del desplaçament dels peus de l’aixecador a l’entrada sota la barra. Es va observar una moderada correlació negativa (r = –0,561; p < 0,01) entre el Tv i la càrrega màxima del test (%1RMT). No es van trobar correlacions significatives per al Tv respecte a la resta de variables analitzades. El Tv disminuïa amb l’increment de la càrrega en rangs submàxims, i era de natura aleatòria amb l’ocupació de càrregues màximes. En un subgrup de la mostra (n = 4) es van valorar les mateixes variables passades vuit setmanes. El Tv, la Pmàx i el pV suggereixen ser variables suficientment sensibles per monitoritzar els canvis generats per l’entrenament en vuit setmanes, encara que la reduïda dimensió mostral no va permetre aconseguir diferències significatives. Aquests resultats destaquen la possibilitat de considerar el Tv i la P com a mesures de control en l’entrenament d’halterofilistes, preferentment en l’ús de càrregues submàximes.

Forecasting the maximum compensation offer in the automobile BI claims negotiation process

Most motor bodily injury (BI) claims are settled by negotiation, with fewer than 5% of cases going to court. A well-defined negotiation strategy is thus very useful for insurance companies. In this paper we assume that the monetary compensation awarded in court is the upper amount to be offered by the insurer in the negotiation process. Using a real database, a log-linear model is implemented to estimate the maximal offer. Non-spherical disturbances are detected. Correlation occurs when various claims are settled in the same judicial verdict. Group wise heteroscedasticity is due to the influence of the forensic valuation on the final compensation amount. An alternative approximation based on generalized inference theory is applied to estimate confidence intervals on variance components, since classical interval estimates may be unreliable for datasets with unbalanced structures.

The maximum voltage drop in an on-chip power distribution network: analysis of square, triangular and hexagonal power pad arrangements

A mathematical model of the voltage drop which arises in on-chip power distribution networks is used to compare the maximum voltage drop in the case of different geometric arrangements of the pads supplying power to the chip. These include the square or Manhattan power pad arrangement, which currently predominates, as well as equilateral triangular and hexagonal arrangements. In agreement with the findings in the literature and with physical and SPICE models, the equilateral triangular power pad arrangement is found to minimize the maximum voltage drop. This headline finding is a consequence of relatively simple formulas for the voltage drop, with explicit error bounds, which are established using complex analysis techniques, and elliptic functions in particular.

Energia de superfície para nanossuperfícies de TiO2 na direção (001)

In this work was made an investigation about bulk and surface models (at maximum 20 layers) of the TiO2 material in the (001) direction. TiO2 commercial sample was feature using XDR technique to determine phase and crystallites average size. Bulk and (001) surface models were simulated for TiO2 material using DFT/B3LYP and its results were used for calculating energy surface, electronic levels, superficial atomic displacement and charge maps. Atoms of the first and second layers of the slab model showed electronic densities very well organized in the form of chains or wires.

Selective detection of fluoride based on a pyridinium n-phenolate-calix[4]pyrrole displacement assay: an undergraduate laboratory experiment

A two-step experiment is proposed for a third year class in experimental organic chemistry. Over a period of five weeks, the students synthesized calix[4]pyrrole, a receptor that is highly selective for fluoride, and a pyridinium N-phenolate dye. Subsequently, the students used the synthesized compounds to investigate a displacement assay on the basis of the competition in acetonitrile between fluoride and the dye for calix[4]pyrrole. The experiment increased the students' skills in organic synthesis and in the characterization of organic compounds, provided a very attractive and accessible illustration of important supramolecular phenomena, and allowed the study of a chromogenic chemosensor.

Reação de Brachiaria spp. e Panicum maximum a Pratylenchus brachyurus

O sistema plantio direto é utilizado em extensas áreas agrícolas do Brasil, condição que pode propiciar o aumento dos danos causados pelos fitonematóides na cultura principal, na dependência da reação das plantas utilizadas como coberturas vegetais. O capim-colonião (Panicum maximum) e as braquiárias (Brachiaria spp.) podem ser utilizadas em áreas infestadas por Meloidogyne incognita e M. javanica, pois não são hospedeiras dessas espécies, mas sua resposta ao nematóide Pratylenchus brachyurus tem sido pouco estudada. Por essa razão, dois experimentos de casa de vegetação foram realizados, com o objetivo de caracterizar a reação de cinco espécies e um híbrido de braquiária [Brachiaria decumbens, B. brizantha, B. humidicola, B. dyctioneura, B. ruziziensis e capim 'Mulato' (B. ruziziensis x B. brizantha)] e dois cultivares de P. maximum ('Mombaça' e 'Tanzânia') ao nematóide P. brachyurus. Os experimentos foram semelhantes, diferindo pela origem dos isolados de P. brachyurus, Pb20 oriundo de raízes de quiabeiro e Pb24 de algodoeiro. A população final dos nematóides do substrato e das raízes foi avaliada 118 dias após a inoculação para Pb20 e 131 dias para Pb24. Os resultados mostraram que todas as poáceas testadas hospedam P. brachyurus, mas em diferentes graus. Capim-colonião e capim 'Mulato' mostraram ser bons hospedeiros de P. brachyurus, com fator de reprodução (FR = Pf/Pi) entre 4,96 e 12,17 para Pb20 e entre 10,38 e 13,18 para Pb24, devendo assim ser evitados como coberturas vegetais em campos infestados com esse nematóide. Por seu turno, B. dyctioneura provou ser mau hospedeiro de P. brachyurus, com FR = 1,01 - 1,32.

Reação de acessos e cultivares de Brachiaria spp. e Panicum maximum à Pratylenchus brachyurus

A utilização de gramíneas forrageiras em sistemas de integração lavoura-pecuária tem sido cada vez mais frequente no Brasil. Entretanto, alguns genótipos forrageiros podem hospedar fitonematoides, contribuindo para manter populações elevadas destes organismos no solo. Objetivando-se avaliar a reação de acessos e cultivares de Brachiaria spp. (B. ruziziensis, B. brizantha cvs. BRS Piatã e BRS Paiaguás, B. humidicola cv. BRS Tupi, e os genótipos B4 e HBGC 331) e Panicum maximum (cvs. Tanzânia-1 e Massai e os genótipos PM32, PM36, PM45 e PM46) à Pratylenchus brachyurus, realizou-se este trabalho. Como testemunhas utilizaram-se o milho BRS 2020 (suscetível) e milheto ADR 300 (resistente) à P. brachyurus. Os experimentos foram conduzidos em casa de vegetação, na Embrapa Gado de Corte, Campo Grande-MS, em blocos casualizados com sete repetições, de maio a setembro de 2011 e de março a maio de 2012. Utilizaram-se cinco plantas por vaso, que foram inoculadas com 1.000 espécimes de P. brachyurus. Após 90 dias, avaliaram-se as populações de nematoides na raiz e no solo, com a finalidade de obtenção da população final dos nematoides e o fator de reprodução (FR). Determinou-se ainda a reação dos genótipos em relação à porcentagem de redução do FR. Com exceção de B. humidicola cv. BRS Tupi, com FR de 0,98 e 0,44, no primeiro e segundo experimentos, respectivamente, todos os materiais avaliados permitiram a multiplicação do nematoide. Em relação à porcentagem de redução do FR, apenas a B. humidicola cv. BRS Tupi e o milheto ADR 300 foram classificados como moderadamente resistentes, com reduções de, no máximo 90,58% e 94,73%, no primeiro e segundo experimento, respectivamente. Entre os genótipos de forrageiras estudados a maioria mostrou-se suscetível à P. brachyurus, apesar de variação do grau de suscetibilidade entre os mesmos. Dessa forma, em áreas com histórico de presença de P. brachyurus, a B. humidicola cv. BRS Tupi pode ser indicada nos sistemas de integração e/ou em rotação de culturas, como estratégia de manejo para a redução populacional de P. brachyurus.

Avaliação de genótipos de Panicum maximum Jacq. à cárie do sino e à mancha foliar

Cultivares de Panicum maximumvêm apresentando danos elevados com doenças, como a cárie do sino e a mancha foliar, causadas por Tilletia ayresiie Bipolaris maydis,respectivamente. Objetivou-se, neste trabalho, avaliar a reação de genótipos desta gramínea forrageira a essas doenças. Os experimentos foram conduzidos na Embrapa Gado de Corte, em Campo Grande (MS), no período de fevereiro a julho de 2012. Avaliaram-se, semanalmente, as intensidades das doenças em 26 genótipos de P. maximum.Dentre os genótipos avaliados, houve variação de graus de resistência para a cárie do sino e para a mancha foliar. As condições ambientais de temperatura e umidade relativa favoráveis à cárie do sino foram 16ºC a 27ºC e 62% a 88% e à mancha foliar 22ºC a 27°C e 62% a 83%. A resistência à cárie do sino mostrou ser caráter herdável e o genótipo PM40 comportou-se como a testemunha suscetível, Tanzânia-1, em relação à mancha foliar. O manejo de P. maximumcom corte de uniformização mostrou-se promissor na composição das estratégias de controle para redução da intensidade da mancha foliar.