Periodic Delta Function and Poisson Integral for - Gauge-institute.org

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Gauge Institute JournalH. Vic Dannon1.2 Plots of Poisson Sequence with1r = 1 −For k = 37,kkplots the spikes at x = 0 , x =−2, x = 2, x =−4, x = 4For k = 49,gives 7 spikes10
Gauge Institute JournalH. Vic DannonThus, the Poisson Integral Theorem does not hold in the Calculusof Limits.1.3 Infinitesimal Calculus SolutionBy resolving the problem of the infinitesimals [Dan2], we obtainedthe Infinite Hyper-reals that are strictly smaller than ∞ , andconstitute the value of the Delta Function at the singularity.The controversy surrounding the Leibnitz Infinitesimals derailedthe development of the Infinitesimal Calculus, and the DeltaFunction could not be defined and investigated properly.In Infinitesimal Calculus, [Dan3], we can differentiate over jumpdiscontinuities, and integrate over singularities.11
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