(2.47) Next, by simple calculation, the third and fourth terms on the right-hand side of (2.28) can be estimated as Vert nabla pVert _{H^{2}}leq Cc_{0}^{3}, quadquad biglVert nabla(rhopi bigrVert _{H^{2}}leq Cc_{0} Vert pi Vert _{H^{3}}.
Since and are solutions of (2.5) and (2.9) respectively, and they are also solutions of (2.6) and (2.10), respectively, it follows from Theorems 2.6 and 2.7 that, by simple calculation, the almost-periodic ow-solution constructed as the proof of Theorem 2.6 with,, is the same as the almost-periodic ew-solution constructed as the proof of Theorem 2.7 with,.
(2.28) By simple calculation, the first term of the right-hand side of (2.28) can be controlled as Vert rho u_{t}Vert _{H^{2}}leq Cbigl Vert rho u_{t}Vert _{L^{2}}+Vert rho Vert _{H^{2}} Vert u_{t}Vert _{H^{2}}bigr)leq Cc_{0}Vert u_{t}Vert _{H^{2}}.
By some simple calculations, the implicit fixed point equation (2) is equivalent to AGammabigl vert xvert +xbigr)+Psi bigl(Gammabigl vert xvert +xbigr) bigr)=Omegabigl vert xvert -xbigr).
In view of the complexity of modern buildings, it is difficult to model the escape pattern of the occupants by simple calculations.
The method allows a first insight to the problem by simple calculations, without requiring column variables to ensure rational use of energy and low environmental impact.
According to the National Center for Research in Economic Education, only half of America's high school students take an economics course, and just 39percentt of those are not baffled by simple calculations of exchange rates, according to the center's newest Test of Economic Literacy.
Using the power series expansion of (1-az)^{-rho}=sum_{n=0}^{infty}( rho)_{n}frac{ az)^{n}}{n!}, quad |az|< 1, and considering Theorem 1 and Theorem 2 together, we get the results by simple calculations.
By contrast, here I propose a direct link between specific models of evolution of the physical and biological universes, with the latter being contingent on the validity of the former (MWO) as illustrated by simple calculations.
