let $a_1$, $a_2$ be unital banach algebras and $x$ be an $a_1$-$a_2$- module. applying the concept of module maps, (inner) modulegeneralized derivations and  generalized first cohomology groups, wepresent several results concerning the relations between modulegeneralized derivations from $a_i$ into the dual space $a^*_i$ (for$i=1,2$) and such derivations  from  the triangular banach algebraof t...

abstract : dens invagination (di) is a developmental abnormality of teeth which frequently results in a complex internal anatomy of the root canal system. di type 3 is an anomaly characterized by infolding of enamel and dentin extending into the root apex. this may present difficulties when forming a diagnosis and treatment plan. many treatment modalities have been presented in case reports for...

The Generalized Estimating Equations GEE proposed by Liang and Zeger have found considerable attention in the last years and sev eral extensions have been proposed This paper will give a more intuitive description how GEE have been developed during the last years Addi tionally we will describe the advantages and disadvantages of the di erent parametrisations that have been proposed in the liter...

Lamé functions play a central role in the theory of ellipsoidal harmonics and have many varied applications in mathematical physics. In this article, a generalized approach to the computation of Lamé function derivatives of arbitrary order is derived and it is demonstrated how these derivatives can be expressed recursively in terms of the original Lamé functions by making use of combinatorial f...

The Fisher equation, which combines di/usive motion of individuals with nonlinearities arising from their growth and competition processes, is analyzed, generalized, and applied to the dynamics of bacteria, pattern formation, and the spread of epidemics. Analytic solutions are also presented for some exactly soluble and physically relevant variants of the equation. c © 2004 Elsevier B.V. All ri...

Di erential Interference Contrast (DIC) microscopy is a powerful visualization tool to study live biological cells. Its use in quantitative analysis, however, is limited by the nonlinear relation between image and object. Combining concepts from graphics and physics, we model these nonlinearities using a generalized ray tracer. We verify our model by comparing real image data of manufactured sp...

In the context of the dynamical evolution in a non-stationary thermal bath, we construct a family of uctuation relations for the entropy production that are not veri ed by the work performed on the system. We exhibit uctuation relations which are global versions either of the generalized Fluctuation-Dissipation Theorem around a non-equilibrium di usion or of the usual Fluctuation-Dissipation Th...

The well known synchronization method of Fujisaka and Yamada is adapted to a particular class of piece wise continuous dynamical systems. We give su¢ cient conditions for the underlying initial value problems, in order to de…ne dynamical systems. For this purpose the Filippov regularization is used, the discontinuous initial value problem being switched into a di¤erential inclusion. A generaliz...

The stabilized march technique is extended to nonlinear two-point boundary value problems via a new Generalized Brent Method for systems of nonlinear algebraic equations. The resulting algorithms can be used to solve systems of nonlinear rst-order ordinary di erential equations under partially separated nonlinear boundary conditions economically. Numerical results which compare the nonlinear st...

We propose a method to solve nonlinear second-order cone programs (SOCPs), based on a continuously di erentiable exact penalty function. The construction of the penalty function is given by incorporating a multipliers estimate in the augmented Lagrangian for SOCPs. Under the nondegeneracy assumption and the strong second-order su cient condition, we show that a generalized Newton method has glo...