Any information is (transported as) a selection from an ordered set, which the “domain” of information. For example, any piece digital number sequence that represents such selection. Its senders and receivers (with software) should know format domain in uniform way worldwide. So far, this not guaranteed. However, it can be guaranteed after introduction new “Domain Vector” (DV) data structure: “...

In this paper, a new and ecient approach based on operational matrices with respect to the gener-alized Laguerre polynomials for numerical approximation of the linear ordinary dierential equations(ODEs) with variable coecients is introduced. Explicit formulae which express the generalized La-guerre expansion coecients for the moments of the derivatives of any dierentiable function in termsof th...

In this paper, to solve a linear one-dimensional Volterra  integral equation of the second kind. For this purpose using the equation form, we have defined a linear transformation and by using it's conjugate and reproducing kernel functions, we obtain a basis for the functions space.Then we obtain the solution of  integral equation in terms of the basis functions. The examples presented in this ...

In order to investigate the effects of non-linear springs in vibrating behavior of vehicles, the independent suspension of conventional vehicles could be modeled as a non-linear single degree of freedom system. The equation of motion for the system would be a non-linear third order ordinary differential equation, when considering the elasticity of rubber bushings in joints of shock absorber. It...

For wireless sensor networks, minimizing communication is crucial to improve energy consumption and thus lifetime. Whereas the standard way to deal with transmission errors is retransmission (automatic repeat request ARQ), in this paper we investigate an alternative: correcting bit errors using Cyclic Redundancy Checks CRCs (which are already used for error detection). Selected CRC polynomials ...

Curcumin is a novel drug for lung cancer treatment. However, the mechanism underlying the anti-tumor effect of curcumin remains elusive. Previous evidences indicated that, the methylating transferase DNMT1 is downregulated by curcumin, and the transcription factor 21 (TCF21) is suppressed by DNMT1. We hereby attempt to elucidate the correlation between curcumin treatment and TCF21 expression. E...