We revisit the exact solution of the two space-time dimensional quantum field theory of a free massless boson with a periodic boundary interaction and self-dual period. We analyze the model by using a mapping to free fermions with a boundary mass term originally suggested in ref. [22]. We find that the entire SL(2,C) family of boundary states of a single boson are boundary sine-Gordon states an...

One of the main problems of car-like robot is robust path following in the presence of sliding effect. To tackle this problem, a robust mix H2/H∞ static state feedback control method is selected. This method is the well-known linear robust controller which is robust against external disturbance as well as model uncertainty. In this paper, the path following problem is formulated as linear matri...

This study introduces a subclass Sqs* of starlike functions associated with the q-analogue sine function defined in symmetric unit disk. article comprises investigation sharp coefficient bounds, and upper bound third-order Hankel determinant for this class. It also includes findings Zalcman generalized conjectures

A new short interspersed element (SINE) was isolated from the genome of desert kangaroo rat (Dipodomys deserti) using single-primer PCR. This SINE consists of two monomers: the left monomer (IDL) resembles rodent ID element and other tRNAAla(CGC)-derived SINEs, whereas the right one (Geo) shows no similarity with known SINE sequences. PCR and hybridization analyses demonstrated that IDL-Geo SIN...

We derive the Legendre series expansion for insolation distribution on rapidly rotating planets as a function of sine latitude and planet's obliquity. give an explicit formula coefficients this it depends obliquity approximate convergence rate. determine optimal truncation use in climate models compare approximation to other approximations literature.

Several types of Darboux transformations for supersymmetric integrable systems such as the Manin-Radul KdV, Mathieu KdV and SUSY sine-Gordon equations are considered. We also present solutions such as supersolitons and superkinks. ⋆ On leave of absence from Beijing Graduate School, CUMT, Beijing 100083, China ⋆⋆ Supported by Beca para estancias temporales de doctores y tecnólogos extranjeros en...

In a wireless sensor network, measures to rationally evaluate the signal detected and reported by the sensor are needed. To infer the context based on the detected signal, determination of basic probability assignment for multi-sensor data fusion using Dempster-Shafer Theory is proposed. If there is insufficient advance information in a wireless sensor network using different type of sensors, i...

In this article we define a class of starlike functions with respect to symmetric points in the domain sine function. Also, investigate coefficients bounds and upper for third order Hankel determinant defined class. We also evaluate Zalcman functional \(|a_{3}^{2}-a_{5}|\). Specializing parameters, improve functions.