The families of bijective transformations Gn affine space Kn over general commutative ring K increasing order with the property stability will be constructed. Stability means that maximal degree elements cyclic subgroup generated by transformation degreed is bounded d. In case = Fq these Kncan an exponential order. We introduce large groups formed quadratic and numerical encryption algorithm pr...

A popular smoothing technique commonly used in time series analysis is double exponential smoothing. Basically, it’s an improvement of simple exponential smoothing which does the exponential filter process twice. Many researchers had developed the technique, hence Brown’s double exponential smoothing and Holt’s double exponential smoothing. Here, we introduce a new approach of double exponentia...

Immature embryos as a choice tissue for genetic transformation of maize have a few limitations, such as genotype dependence, time-consuming and requiring a well-equipped greenhouse for access, at any time. In the present study, the split-seed explants were used for genetic transformation of maize, B73 line. The transformation of maize split-seed explants from the inbred line B73, for resistance...

This article studies diverse forms of lump-type solutions for coupled nonlinear generalized Zakharov equations (CNL-GZEs) in plasma physics through an appropriate transformation approach and bilinear equations. By utilizing the positive quadratic assumption equation, are derived. Similarly, by employing a single exponential lump one-soliton Furthermore, choosing double ansatz two-soliton found....