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Assessment of the pattern of SS1 students pre-level mathematics cognitive and content achievement
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- "This investigation derived its strong motivation in the adoption of versions of second-order Runge-Kutta methods where there is presently dearth of relevant literature to re-establish .the complicated nature of solution of buffing oscillator dynamics. The choice of second-order Runge-Kutta methods hinged On its simplest algebraic formulation of relevant coefficients based on Taylor series expansion comparing with its higher order counterpart. Validation of FORTRAN-90 codes of algorithms was achieved by phase plots comparison reference to Dowell (1988) as standard. The nature of simulated solutions were visually determined with scatter plot of phase variables obtained from simultaneous implementation of large number of versions of second-order Runge-Kutta methods in conjunction with the corresponding literature results. Validation results are acceptable to within the accuracy limit of Runge-Kutta methods adopted. The scatter plots on phase plane for cases investigated are well structured and bounded (strange) and compare correspondingly well with literature Poincare sections. This investigation re-establishes the complex nature of solution of Duffings oscillator dynamics. Its established procedures provide an alternative Poincare section method and can be utilised for preliminary verification of system dynamics behaviour subject to confirmation by additional dynamics tests. " 1 results 1
- Any finite uilpoleut group can be uniquely written as a direct product of /<- groups In this paper, an attempt for the compulation of Dv.i x CTi was made. This happens to be the eomputatioii of the number of distinct fuzzy subgroups of the cartesian product of the dihedral group of order 24 with a cyclic group of order sixteen 1 results 1
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