in this paper, we consider orthogonal stability of mixed type additive and cubic functional equation of the form $$f(2x+y)+f(2x-y)-f(4x)=2f (x+y)+2f(x-y)-8f(2x) +10f(x)-2f(-x),$$ with $xbot y$, where $bot$  is orthogonality in the sense of ratz.

INTRODUCTION The study assessed the efficacy of laser activated irrigation (LAI) with Erbium: Yttrium Aluminum Garnet (Er:YAG) and Erbium Chromium: Yttrium Scandium Gallium Garnet (Er,Cr:YSGG) wavelengths as compared with passive ultrasonic irrigation (PUI). Previously proposed irrigation times were used for LAI (4x 5 seconds) and the intermittent flush technique (3x 20 seconds). METHODS We u...

In this paper, we consider orthogonal stability of mixed type additive and cubic functional equation of the form $$f(2x+y)+f(2x-y)-f(4x)=2f (x+y)+2f(x-y)-8f(2x) +10f(x)-2f(-x),$$ with $xbot y$, where $bot$  is orthogonality in the sense of Ratz.

The $X(3872)$ resonance has been conjectured to be a $J^{PC} = 1^{++}$ charm meson-antimeson two-body molecule. Meanwhile, there is no experimental evidence for larger, few-body compounds of multiple pairs which would resemble larger molecules or nuclei. Here, we investigate such multi-meson states the extent what can deduced theoretically from essentials interaction between uncharged $D^{0}$ a...

Background: According to the literature of homoeopathy remedy gun powder has property cure Abscesses, Acne, Bites, Blood-poisoning, Boils, Carbuncles, Cuts - poisoned, Ivy (Hedera) poisoning, Osteo-myelitis, Tonsillitis – septic, Vaccinosis, Worms. Homoeopathic system medicine uses ultra-high dilutions as their medication. Avogadro’s Limit is a threshold limit where there no possibility presenc...

Opsonophagocytic killing of some bacteria (Staphylococcus aureus, Pseudomonas aeruginosa) by phagocytes is enhanced by previous brief exposure of the organism to antibiotics. We studied the regrowth of Legionella pneumophila previously pretreated with levofloxacin, erythromycin and/or rifampicin in human monocytes. The MIC for the L. pneumophila isolate of levofloxacin, erythromycin and rifampi...