in this paper, we investigate the generalizedhyers--ulam stability of the functional equation

Densities of aqueous solutions sulfuric acid (H2SO4) have been measured by vibrating tube densimetry at molalities m varying from 0.02 to 3.0 mol·kg–1, temperatures over the range 323.15 ≤ T/K 523.15 10 MPa pressure. These results were used calculate corresponding apparent molar volumes Vϕ(H2SO4,aq) and appear be first-ever systematic study volumetric properties this important elevated temperat...

Our objective was to examine the overlap between autistic traits and other behavioral problems in a general population sample, and explore the extent to which this overlap is due to genetic or environmental factors. Youth Self Report (YSR) data were collected in a general population sample of 424 twin pairs at 18 years of age, and their nontwin siblings. In 197 of these twin families, self-repo...

Objective: To examine the overlap between autistic traits and other behavioural problems in a general population sample, and explore whether this overlap is of genetic or environmental origin. Method: Youth Self Report (YSR) data were collected in a general population sample of 424 twin pairs at 8 years of age, and their non-twin siblings. In 97 of these families self-report ratings on the Au...

Introduction: In this study, we reported the reliability and validity of Bedside version of Persian WAB (P-WAB-1) adapted from Western Aphasia Battery (WAB-R)1,2. P-WAB-1 is a clinical linguistic measuring tool to determine severity and type of aphasia in brain damaged patients based on Aphasia Quotient (AQ) as a functional measure. For the purposes of a quick clinical screening of aphasia in...

In this paper, we prove the Hyers-Ulam stability in$beta$-homogeneous probabilistic modular spaces via fixed point method for the functional equation[f(x+ky)+f(x-ky)=f(x+y)+f(x-y)+frac{2(k+1)}{k}f(ky)-2(k+1)f(y)]for fixed integers $k$ with $kneq 0,pm1.$

‎hensel [k‎. ‎hensel‎, ‎deutsch‎. ‎math‎. ‎verein‎, ‎{6} (1897), ‎83-88.] discovered the $p$-adic number as a‎ ‎number theoretical analogue of power series in complex analysis‎. ‎fix ‎a prime number $p$‎. ‎for any nonzero rational number $x$‎, ‎there‎ ‎exists a unique integer $n_x inmathbb{z}$ such that $x = ‎frac{a}{b}p^{n_x}$‎, ‎where $a$ and $b$ are integers not divisible by ‎$p$‎. ‎then $|x...