On a smooth manifold M, the vector bundle structures of the second order tangent bundle, T M bijectively correspond to linear connections. In this paper we classify such structures for those Fréchet manifolds which can be considered as projective limits of Banach manifolds. We investigate also the relation between ordinary differential equations on Fréchet spaces and the linear connections on t...

We derive closed-form expressions for the distribution of export intensity when firm-destination-specific revenue shifters are distributed gamma, Fréchet and Weibull in a two-country model trade with isoelastic demand. estimate parameters governing each type shifter across 72 countries. compare model’s fit to countries lognormal, gamma Fréchet/Weibull. While lognormal slightly outperforms other...

All known algorithms for the Fréchet distance between curves proceed in two steps: first, they construct an efficient oracle for the decision version; second, they use this oracle to find the optimum from a finite set of critical values. We present a novel approach that avoids the detour through the decision version. This gives the first quadratic time algorithm for the Fréchet distance between...

Iterative regularization methods for nonlinear ill-posed equations of the form F (x) = y, where F : D(F ) ⊂ X → Y is an operator between Hilbert spaces X and Y , usually involve calculation of the Fréchet derivatives of F at each iterate and at the unknown solution x†. In this paper, we suggest a modified form of the generalized Gauss-Newton method which requires the Fréchet derivative of F onl...

Finding the similarity between paths is an important problem that comes up in many areas such as 3D modeling, GIS applications, ordering, and reachability. Given a set of points S, a polygonal curve P , and an ε > 0, the discrete set-chain matching problem is to find another polygonal curve Q such that the nodes of Q are points in S and dF (P,Q) ≤ ε. Here, dF is the discrete Fréchet distance be...

We consider the space L1.1; X/ of all real functions that are integrable with respect to a measure 1 with values in a real Fréchet space X . We study L-weak compactness in this space. We consider the problem of the relationship between the existence of copies of `1 in the space of all linear continuous operators from a complete DF-space Y to a Fréchet lattice E with the Lebesgue property and th...

In this paper, the effect of the cell-temperature on the performance of photovoltaic (PV) module is evaluated. The evaluation is based on a mathematical module (single diode equivalent circuit) and practically based on solar module tester (SMT). Solara®130W PV crystalline silicon module was used in this simulation. The SMT is able to supply a constant irradiance level (1000W/m2) or any other de...

Protein structure alignment is a fundamental problem in computational and structural biology. While there has been lots of experimental/heuristic methods and empirical results, very little is known regarding the algorithmic/complexity aspects of the problem, especially on protein local structure alignment. A well-known measure to characterize the similarity of two polygonal chains is the famous...

 Let $R$ be a ring‎, ‎and let $n‎, ‎d$ be non-negative integers‎. ‎A right $R$-module $M$ is called $(n‎, ‎d)$-projective if $Ext^{d+1}_R(M‎, ‎A)=0$ for every $n$-copresented right $R$-module $A$‎. ‎$R$ is called right $n$-cocoherent if every $n$-copresented right $R$-module is $(n+1)$-coprese-nted‎, ‎it is called a right co-$(n,d)$-ring if every right $R$-module is $(n‎, ‎d)$-projective‎. ‎$R$...

Recent theoretical studies of the adaptation of DNA sequences assume that the distribution of fitness effects among new beneficial mutations is exponential. This has been justified by using extreme value theory and, in particular, by assuming that the distribution of fitnesses belongs to the Gumbel domain of attraction. However, extreme value theory shows that two other domains of attraction ar...