Bounds on integrals of the Wigner function

The integral of the Wigner function over a subregion of the phase space of a quantum system may be less than zero or greater than one. It is shown that for systems with 1 degree of freedom, the problem of determining the best possible upper and lower bounds on such an integral, over an possible states, reduces to the problem of finding the greatest and least eigenvalues of a Hermitian operator corresponding to the subregion. The problem is solved exactly in the case of an arbitrary elliptical region. These bounds provide checks on experimentally measured quasiprobability distributions.

A new algorithm and refined bounds for extended gcd computation

Extended gcd computation is interesting itself. It also plays a fundamental role in other calculations. We present a new algorithm for solving the extended gcd problem. This algorithm has a particularly simple description and is practical. It also provides refined bounds on the size of the multipliers obtained.

Lower Bounds on the State Complexity of Geometric Goppa Codes

We reinterpret the state space dimension equations for geometric Goppa codes. An easy consequence is that if deg G less than or equal to n-2/2 or deg G greater than or equal to n-2/2 + 2g then the state complexity of C-L(D, G) is equal to the Wolf bound. For deg G is an element of [n-1/2, n-3/2 + 2g], we use Clifford's theorem to give a simple lower bound on the state complexity of C-L(D, G). We then derive two further lower bounds on the state space dimensions of C-L(D, G) in terms of the gonality sequence of F/F-q. (The gonality sequence is known for many of the function fields of interest for defining geometric Goppa codes.) One of the gonality bounds uses previous results on the generalised weight hierarchy of C-L(D, G) and one follows in a straightforward way from first principles; often they are equal. For Hermitian codes both gonality bounds are equal to the DLP lower bound on state space dimensions. We conclude by using these results to calculate the DLP lower bound on state complexity for Hermitian codes.

Error bounds for low-rank approximations of the first exponential integral kernel

A hierarchical matrix is an efficient data-sparse representation of a matrix, especially useful for large dimensional problems. It consists of low-rank subblocks leading to low memory requirements as well as inexpensive computational costs. In this work, we discuss the use of the hierarchical matrix technique in the numerical solution of a large scale eigenvalue problem arising from a finite rank discretization of an integral operator. The operator is of convolution type, it is defined through the first exponential-integral function and, hence, it is weakly singular. We develop analytical expressions for the approximate degenerate kernels and deduce error upper bounds for these approximations. Some computational results illustrating the efficiency and robustness of the approach are presented.

Some bounds of loss in classical semideterministic immunization

Since Samuelson, Redington and Fisher and Weil, duration and immunization are very important topics in bond portfolio analysis from both a theoretical and a practical point of view. Many results have been established, especially in semi-deterministic framework. As regards, however, the loss may be sustained, we do not think that the subject has been investigated enough, except for the results found in the wake of the theorem of Fong and Vasicek. In this paper we present some results relating to the limitation of the loss in the case of local immunization for multiple liabilities.

Metastability bounds on the two Higgs doublet model

In the two Higgs doublet model, there is the possibility that the vacuum where the universe resides in is metastable. We present the tree-level bounds on the scalar potential parameters which have to be obeyed to prevent that situation. Analytical expressions for those bounds are shown for the most used potential, that with a softly broken Z(2) symmetry. The impact of those bounds on the model's phenomenology is discussed in detail, as well as the importance of the current LHC results in determining whether the vacuum we live in is or is not stable. We demonstrate how the vacuum stability bounds can be obtained for the most generic CP-conserving potential, and provide a simple method to implement them.

Experimental design methodologies for the identification of Michaelis-Menten type kinetics

The main objective of this work was to investigate the application of experimental design techniques for the identification of Michaelis-Menten kinetic parameters. More specifically, this study attempts to elucidate the relative advantages/disadvantages of employing complex experimental design techniques in relation to equidistant sampling when applied to different reactor operation modes. All studies were supported by simulation data of a generic enzymatic process that obeys to the Michaelis-Menten kinetic equation. Different aspects were investigated, such as the influence of the reactor operation mode (batch, fed-batch with pulse wise feeding and fed-batch with continuous feeding) and the experimental design optimality criteria on the effectiveness of kinetic parameters identification. The following experimental design optimality criteria were investigated: 1) minimization of the sum of the diagonal of the Fisher information matrix (FIM) inverse (A-criterion), 2) maximization of the determinant of the FIM (D-criterion), 3) maximization of the smallest eigenvalue of the FIM (E-criterion) and 4) minimization of the quotient between the largest and the smallest eigenvalue (modified E-criterion). The comparison and assessment of the different methodologies was made on the basis of the Cramér-Rao lower bounds (CRLB) error in respect to the parameters vmax and Km of the Michaelis-Menten kinetic equation. In what concerns the reactor operation mode, it was concluded that fed-batch (pulses) is better than batch operation for parameter identification. When the former operation mode is adopted, the vmax CRLB error is lowered by 18.6 % while the Km CRLB error is lowered by 26.4 % when compared to the batch operation mode. Regarding the optimality criteria, the best method was the A-criterion, with an average vmax CRLB of 6.34 % and 5.27 %, for batch and fed-batch (pulses), respectively, while presenting a Km’s CRLB of 25.1 % and 18.1 %, for batch and fed-batch (pulses), respectively. As a general conclusion of the present study, it can be stated that experimental design is justified if the starting parameters CRLB errors are inferior to 19.5 % (vmax) and 45% (Km), for batch processes, and inferior to 42 % and to 50% for fed-batch (pulses) process. Otherwise equidistant sampling is a more rational decision. This conclusion clearly supports that, for fed-batch operation, the use of experimental design is likely to largely improve the identification of Michaelis-Menten kinetic parameters.

Hausdorff dimension bounds for smoothness of holonomies for codimension 1 hyperbolic dynamics

We prove that the stable holonomies of a proper codimension 1 attractor Λ, for a Cr diffeomorphism f of a surface, are not C1+θ for θ greater than the Hausdorff dimension of the stable leaves of f intersected with Λ. To prove this result we show that there are no diffeomorphisms of surfaces, with a proper codimension 1 attractor, that are affine on a neighbourhood of the attractor and have affine stable holonomies on the attractor.

Avaliação econômica da estação de monta em caprinos utilizando protocolo de sincronização do estro e ração flushing.

Resumo: O objetivo deste estudo foi realizar uma análise econômica do protocolo de sincronização do estro mais a ração flushing oferecida as cabras durante a estação de monta. Foram selecionadas 12 cabras da raça Saanen e um reprodutor, recebendo ração flushing. Utilizou-se esponjas análogas a progesterona, Prostaglandina e Gonadotrofina Coriônica Equina. O custo total foi de R$ 46, 17/animal. A utilização da sincronização torna-se uma medida viável economicamente quando comparada a monta natural. [Economic analisy on station of sum to Saanen goats using protocol of synchronization of estrous and flushing ration]. Abstract: The aim of the experimente was to realize na economic analysis of protocol synchronization of estrous and flushing ration offered to Saanen breed goats during station of sum. Twelve Saanen breed goats and onde billy-goat were used. Intravaginal sponges containing progesterone, Prostaglandin and Equine Corionic Gonadotroohin were used. The total costs were R$ 46,17/animal. The use of protocol of sychronization of estrous is more economically viable the sum natural.

BIOLOGIA DE Nystalea nyseus (CRAMER, 1775) (LEPIDOPTERA: NOTODONTIDAE) EM FOLHAS de Eucalyptus urophylla

Essa pesquisa foi conduzida no laboratório de Entomologia Florestal da Universidade Federai de Viçosa à 25 ± 2" C, 60 ± 10% UR e fotoperiodo de 12L:12E. O objetivo foi estudar a biologia de Nystalea nyseus(Cramer, 1775) (Lepidoptera: Notodontidae) em folhas de Eucalyptus urophylla. Ν. nyseusapresentou cinco estádios, com duração, média, de 3,99 ± 0,11; 3,80 ±0,10; 4,95 ± 0,30; 5,96 ±0,21 e 6,85 ±0,14 dias, respectivamente. A duração total da fase larval foi de 25,5 dias. A fase de pré-pupa teve duração de 3,05 ± 0,05; 3,08 ± 0,06 dias e a de pupa 14,75 ± 0,45 c 13,82 ± 0,29 dias para machos e fêmeas, respectivamente. A viabilidade, dos ovos, foi de 74,72% e o período embrionário de 3,40 ± 0,16 dias. A longevidade de adultos, acasalados, foi de 6,71 ± 0,74 dias para machos e 9,14 ± 0,96 dias para fêmeas e razão sexual de 0,55, ou seja uma fêmea para 0,81 macho.

Digestibilidade aparente dos nutrientes e energia de ração suplementada com enzimas digestivas exógenas para juvenis de tambaqui (Colosssoma macropomum Cuvier, 1818)

O experimento foi conduzido com o objetivo de avaliar o efeito da adição de um compelxo multienzimático exógeno composto de amilase, protease, lipase e celulase, em rações de juvenis de tambaqui, sobre os coeficientes de digestibilidade aparente (CDa) da proteína bruta (PB), extrato etéreo (EE), carboidratos (ENN) e energia bruta (EB). O delineamento experimental foi inteiramente casualizado com quatro tratamentos (quatro níveis de inclusão de enzimas, 0,0; 0,05; 0,10; e 0,15 %), três repetições (no tempo) e 10 peixes por unidade experimental. Foram utilizados 40 juvenis de tambaqui, com peso médio de 155,0 ± 0,49 g, distribuídos em quatro tanques de alimentação de 500 l, recebendo refeições à vontade das 8 às 12h, a cada hora. Em seguida os animais foram transferidos para coletores de fezes (200 l), onde permaneceram até às 18h, sendo a coleta de dejetos realizada a cada hora. A determinação dos CDa foi realizada pelo método indireto, sendo utilizado como indicador externo 0,5% de óxido de cromo-III (Cr2O3) incorporado à ração. Os resultados demonstraram que a suplementação das dietas com enzimas exógenas para juvenis de tambaqui aumenta a digestibilidade aparente dos nutrientes e energia bruta, no nível de inclusão de 0,05% (P<0,05%).

On simple bounds for eigenvalues of symmetric tridiagonal matrices

How much can be said about the location of the eigenvalues of a symmetric tridiagonal matrix just by looking at its diagonal entries? We use classical results on the eigenvalues of symmetric matrices to show that the diagonal entries are bounds for some of the eigenvalues regardless of the size of the off-diagonal entries. Numerical examples are given to illustrate that our arithmetic-free technique delivers useful information on the location of the eigenvalues.

Biological and morphometric aspects and rearing of Syssphinx molina (Cramer) (Lepidoptera: Saturniidae), a defoliator of parica tree

The objective of this research was to describe the biological and morphometric aspects of the parica tree defoliator, Syssphinx molina (Cramer), and make recommendations about the insect rearing. The life cycle was 62.9 days with mean periods for the egg, larval, pre-pupal and pupal stages of 5.6, 31.1, 2.2 and 16.6 days respectively. The pupal viability was 60.5% for females and 48.6% for males. The sexual ratio was 0.5 with mean production of 182.3 ± 2.2 eggs per female and egg viability of 24.3%. The mean longevity was 7.9 ± 2 and 8.1 ± 3 days for females and males respectively. Other parameters were also observed and compared with description of other Saturniidae species.

The bounds of education in the human brain connectome

Inter-individual heterogeneity is evident in aging; education level is known to contribute for this heterogeneity. Using a cross-sectional study design and network inference applied to resting-state fMRI data, we show that aging was associated with decreased functional connectivity in a large cortical network. On the other hand, education level, as measured by years of formal education, produced an opposite effect on the long-term. These results demonstrate the increased brain efficiency in individuals with higher education level that may mitigate the impact of age on brain functional connectivity.