This paper deals with the analysis of time series with respect to certain known periodicities. In particular, we shall present a fast method aimed at detecting periodic behavior inherent in noisy data. The method is composed of three steps: 1. Non–noisy data are analyzed through spectral and wavelet methods to extract specific periodic patterns of interest. 2. Using these patterns, we construct...

We discuss several two-dimensional generalizations of the familiar Lyndon-Schützenberger periodicity theorem for words. We consider the notion of primitive array (as one that cannot be expressed as the repetition of smaller arrays). We count the number of m×n arrays that are primitive. Finally, we show that one can test primitivity and compute the primitive root of an array in linear time.

The leading term of a convolution of quasipolynomials with periods p and q is periodic with period gcd(p, q), smaller than expected. The degree of the convolution is usually d+e+1; we characterize the exceptions. To do this we need to characterize the null space of a circulant matrix. We wish to point out a simple yet unexpected property of quasipolynomial calculus. A quasipolynomial is a funct...

Poset games are two-player impartial combinatorial games, with normal play convention. Starting with any poset, the players take turns picking an element of the poset, and removing that and all larger elements from the poset. Examples of poset games include Chomp, Nim, Hackendot, Subset-Takeaway, and others. We prove a general theorem about poset games, which we call the Poset Game Perioidicity...

BACKGROUND & OBJECTIVES Wuchereria bancrofti has shown nocturnal periodicity in India and other endemic countries of the world except pacific regions where non-periodic or diurnal sub-periodic forms have been reported. Presence of sub-periodic form of W. bancrofti in Andaman and Nicobar Islands, India and a case report of sub- periodic form of W. bancrofti from Mysore, India provide basis for e...