We present a new algebraic extension of the classical MacMahon Master Theorem. The basis of our extension is the Koszul duality for non-quadratic algebras defined by Berger. Combinatorial implications are also discussed.

The generating function for words by a multivariable statistic involving decrease, increase, descent and rise values is explicitly calculated by using the MacMahon Master Theorem and the properties of the first fundamental transformation on words. Applications to statistical study of the symmetric group are also given.

The algebra of linear partial difference operators is investigated, and an elimination procedure demonstrated. Applications to combinatorics are given. In particular, a new proof and a q-analogue of MacMahon's Master Theorem are given.

PURPOSE The aim of the present study was to investigate associations between skeletal muscle mass, body fat and training characteristics with running times in master athletes (age > 35 years) in half-marathon, marathon and ultra-marathon. METHODS We compared skeletal muscle mass, body fat and training characteristics in master half-marathoners (n=103), master marathoners (n=91) and master ult...

The traffic assignment problem is one of the most important problems for analyzing and optimizing the transportation network to find optimal flows. This study presented a new formulation based on a generalized Benders' decomposition approach to solve its important part, i.e. user equilibrium problems, in deterministic and stochastic cases. The new approach decomposed the problem into a master p...

In method comparison experiments with replications, two measurement procedures (test method and comparative method) are compared using regression analysis. The ordinary linear regression approach often yields biased estimates of regression coefficients because the predictor (measurements of comparative method) contains random error. Instead, a linear error-in-variables regression model should b...

Today, freight volumes on roads have gone up to a level that there is a need for alternative transport modes. Short Sea Shipping (SSS) is one alternative with a potential that can help reduce the high traffic on roads. Most SSS systems use vessels whereby cargo is rolled on and off using a ramp with very small capacities usually less than 500 TEU, but with increasing cargo traffic, it is not cl...

The separation of user interfaces from the underlying application logic is a constant research topic. The misuse of Reenskaug’s Model View Controller as a system architecture provides only modular separation on source code level, while UI and application logic remain in tight sematic coupling. To break this coupling, we will present an approach, which applies the highly efficient and scalable t...