Sound exposures of Canadian Opera Company orchestra players were measured to assess the risk of hearing loss of players in orchestra pits. This was done during 18 sessions that included rehearsals, dress rehearsals and actual performances of two operas. Seventy-three noise exposures of musicians were measured using five dosimeters for the entire duration (3 h) of each event. The measured estima...

Apparently on the basis of room modes being excited in residential dwellings one concept has been to ignore high quality field measurement recordings (Wave files) and use the narrow band (FFT) Leq results of a 10-minute sample to create, by superimposing a number of sine waves, a trapezoidal time signal as the source for subjective testing and restricting the bandwidth to only infrasound. Other...

Let $n,s,k$ be three positive integers such that $1\leq s\leq(n-k+1)/k$ and let $[n]=\{1,\ldots,n\}$. $H$ a $k$-graph with vertex set $[n]$, $e(H)$ denote the number of edges $H$. $\nu(H)$ $\tau(H)$ size largest matching minimum cover in $H$, respectively. Define $A^k_i(n,s):=\{e\in\binom{[n]}{k}:|e\cap[(s+1)i-1]|\geq i\}$ for $2\leq i\leq k$ $HM^k_{n,s}:=\big\{e\in\binom{[n]}{k}:e\cap[s-1]\neq...

The Haze is an excess of microwave intensity emission surrounding the Galactic centre. It spatially correlated with $\gamma$-ray Fermi bubbles, and S-PASS radio polarization plumes, suggesting a possible common provenance. models proposed to explain origin Haze, including energetic events at centre dark matter decay in halo, do not yet provide clear physical interpretation. In this paper we pre...

 Let $P(lambda)$ be an $n$-square complex matrix polynomial, and $1 leq k leq n$ be a positive integer. In this paper, some algebraic and geometrical properties of the $k$-numerical range of $P(lambda)$ are investigated. In particular, the relationship between the $k$-numerical range of $P(lambda)$ and the $k$-numerical range of its companion linearization is stated. Moreover, the $k$-numerical...

In this work, by employing the Krasnosel'skii fixed point theorem, we study the existence of positive solutions of a three-point boundary value problem for the following fourth-order differential equation begin{eqnarray*} left { begin{array}{ll} u^{(4)}(t) -f(t,u(t),u^{prime prime }(t))=0 hspace{1cm} 0 leq t leq 1, & u(0) = u(1)=0, hspace{1cm} alpha u^{prime prime }(0) - beta u^{prime prime pri...

‎let $i$ be an ideal in a regular local ring $(r,n)$‎, ‎we will find‎ ‎bounds on the first and the last betti numbers of‎ ‎$(a,m)=(r/i,n/i)$‎. ‎if $a$ is an artinian ring of the embedding‎ ‎codimension $h$‎, ‎$i$ has the initial degree $t$ and $mu(m^t)=1$‎, ‎we call $a$ a {it $t-$extended stretched local ring}‎. ‎this class of‎ ‎local rings is a natural generalization of the class of stretched ...

Inthis paper, the main aim is to introduce the class $mathcal{U}_p(lambda,alpha,beta,k_0)$ of $p$-harmonic mappings togetherwith its subclasses $mathcal{U}_p(lambda,alpha,beta,k_0)capmathcal {T}_p$ and $mathcal{U}_p(lambda,alpha,beta,k_0)capmathcal {T}_p^0$, andinvestigate the properties of the mappings in these classes. First,we give a sufficient condition for mappings to be in $mathcal{U}_p(l...