In the offline list update problem, we maintain an unsorted linear list used as a dictionary. Accessing the item at position i in the list costs i units. In order to reduce access cost, we are allowed to update the list at any time by transposing consecutive items at a cost of one unit. Given a sequence of requests one has to serve in turn, we are interested in the minimal cost needed to serve ...

∂if = f− sif xi − xi+1 where si acts on f by transposing xi and xi+1 and let π̃i = ∂i(xi(1− xi+1)f) Then the Grothendieck-Demazure polynomial κα, which is attributed to A. Lascoux and M. P. Schützenberger, is defined as κα = x α1 1 x α2 2 x α3 3 ... if α1 ≥ α2 ≥ α3 ≥ ..., i.e. α is non-increasing, and κα = π̃iκαsi if αi < αi+1, where si acts on α by transposing the indices. Example 2.1. Let α = (...

Remembering information is a fundamental aspect of cognition present in numerous natural systems. It allows adaptation the behavior as function previously encountered situations. For instance, many living organisms use memory to recall if given situation incurred penalty or reward and rely on that avoid reproduce situation. In groups, commonly studied case where individual members are themselve...

The polyphase framework is a well-established tool in discrete-time signal processing. It can be used to simplify considerably the description of periodically time varying systems. From network theory it is known that there are structurally and functionally related networks to a given network that can be obtained e.g. by transposition or by taking the adjoint. In terms of functionality the tran...

Four experiments were designed to investigate whether the frequency of words used to create pseudowords plays an important role in lexical decision. Computational models of the lexical decision task (e.g., the dual route cascaded model and the multiple read-out model) predict that latencies to low-frequency pseudowords should be faster than latencies to high-frequency pseudowords. Consistent wi...

The technique of estimating the complex frequency components a signal in presence noise based on assumptions about number is known as estimation. problem estimation appears when we receive from transmitter with frequency, and it often radar, sonar, etc. applications. This has been dealt by various techniques algorithms. research shows methods used researchers to estimate paper discusses between...

this paper presents the high order frequency-amplitude relationship for nonlinear transversely vibrating beams with odd and even nonlinearities using homotopy perturbation method with an auxiliary term (hpmat). the governing equations of vibrating buckled beam, beam carrying an intermediate lumped mass and quintic nonlinear beam are investigated to exhibit the reliability and ability of the pro...