A weighted finite-state machine with n tapes (n-WFSM) defines a rational relation on n strings. The paper recalls important operations on these relations, and an algorithm for their auto-intersection. Through a series of practical applications, it investigates the augmented descriptive power of n-WFSMs, w.r.t. classical 1and 2-WFSMs (acceptors and transducers). Some applications are not feasibl...

We present an efficient spectral projected-gradient algorithm for optimization subject to a group `1-norm constraint. Our approach is based on a novel linear-time algorithm for Euclidean projection onto the `1and group `1-norm constraints. Numerical experiments on large data sets suggest that the proposed method is substantially more efficient and scalable than existing methods.

A BBS-like generator is discussed for which the quadratic function F : x 7→ x − 2 (mod n), where n = p · q is the product of two distinct primes, is used. The maximal cycle length of the orbits produced by iterating F is obtained and the particular important cases in which p, q are both 1and 2-safe are analyzed in deeper detail.

BACKGROUND SDF-1 and NF-κB are associated with the prognosis of a wide range of cancers, but their value in cervical cancer remains controversial. The aim of this study was to investigate the expression of SDF-1and NF-κB in cervical cancer and their significance in clinical prognosis. MATERIAL AND METHODS The expression of SDF-1and NF-κB in 105 formalin-fixed, paraffin-embedded cervical cancer ...

Jute is a natural fiber also known as golden in Bangladesh. commonly extracted from the plant after immersion water bodies. The traditional jute retting process harms quality of well where plants were immersed it decomposes bio-mass and hampers different indicating parameters. In this study samples collected ponds ditches at Muktagacha Upazilla, Mymensingh, Bangladesh July 2020. Samples pre- po...