So many employees had disappeared by the end of last year that the personnel department began calling each morning to check that critical staff were still there.
We began by describing the study sample, to check that groups A and B were comparable in terms of confounding factors.
It is easy to check that begin{aligned} v_n(f)=2sigma _{2n}(f -sigma _n(f -sigma
end{aligned} It is easy to check that begin{aligned} mathcal{O}'(Tf thickapproxmathcal{O}(Tf).
By using condition ((K_{1})) and (1< q<2), it is easy to check that begin{aligned} I_{mu} tu)< 0 quadtext{for } t text{ small}.
From here it is easy to check that begin{aligned} {mathbf {D}}_2= ({mathbf {T}}_1{mathbf {T}}_2)^{-1}{mathbf {D}}_1({mathbf {T}}_1{mathbf {T}}_2), end{aligned} (5.3 which shows, as expected, the differentiation matrices in different bases are similar.
It is easy to check that left{ begin{array}{l} J_{rho} u(cdot))>0,textforall u(cdot)inmathcal{U}[0,T], J_{rho}(bar{u}(cdot))=rholeqinf_{uinmathcal{U}[0,T]}J_{rho} (u(cdot))+rho.
end{cases}displaystyle end{aligned} It is easy to check that begin{aligned} &E_{1}cup E_{2}cup E_{5}cup bigl( E_{4}cap { pgeq v,v>-2 } bigr) = { pgeq v,v>-2 }, &E_{3}cup bigl( E_{4}cap { pleq v,v>-2 } bigr) = { pleq v,v>-2 }, end{aligned} which indicate that (alphaleq l ( p ) ). (ii) The necessary and sufficient conditions for the right-hand side inequality of (4.1) to hold are obvious.
It is easy to check that begin{aligned} h_{xi} =& e^{Delta(T_{varepsilon }^-xi)} bigl[ e^{Deltaxi}-I bigr] y_{0}+ int_{0}^{T_{varepsilon }^-xi} bigl[ e^{Deltaxi}-I bigr] e^{ Delta(T_{varepsilon }^-xi-sigma)} rhochi_{omega}hat{u}(sigma ),dsigma &+ int_{T_{varepsilon }^-xi}^{T_{varepsilon }^ e^{Delta(T_{varepsilon } ^-sigma)}rho chi_{omega}hat{u}(sigma ),dsigma.
In addition, for any (a, b inmathbb {R}), it is easy to check that begin{aligned} biglvert h_{i}(b -h_{i}(a) b -h_{i} =& biglvert sin(b)-sin(a) bigrvert leq biglvert g_{i}(b)-g_{i}(a) bigrvert = vert b-a vert leq& biglvert f_{i}(b)-f_{i}(a) bigrvert = biglvert sinh(b -sinh(a) b -sinrt.
