A glance at Bessel functions shows they behave similar to the damped sinusoidal function. In this paper two physical examples (pendulum and spring-mass system with linearly increasing length and mass ...

In circular functions like sine and cosine, equations can have multiple solutions within a specific interval. If all possible values are considered, these functions can have infinitely many solutions.

Department of Mathematics, Faculty of Mathematical Sciences and Statistics, Birjand University, Birjand, Iran. Department of Mathematics, Payamenoor University ...

Abstract: Using recursive equations (RE) to replace the traditional table lookup is beneficial to reduce the amount of data storage required for the chip design. However, the traditional cosine ...

Abstract: The new exact solutions of the three-dimensional sine-Gordon (SG) equation are obtained. These solutions depend on arbitrary function F(α), which argument is some function α(x, y, z, t). The ...