Sentence examples for vert of from inspiring English sources
(13) Let suppose that there exists at least one root (lambda_{1}= vert lambda vert ) of equation (13) such that (vert lambda vert <1).
Here it should be noted that the total measure (vert G_{varepsilon} k)vert ) of the thin cylinders is order of (mathcal{O}(1)) and the total measure (vert S_{varepsilon} k)vert ) of the lateral surfaces of the thin cylinders (G_{varepsilon} k)) is order of (mathcal{O} varepsilon^{-1})).
Among these eigenvalues, the largest one, (mu_{1}/k), is of special importance, since it is precisely the (L^{2} -norm (Vert mathcaL^{2} -normpha, k} Vert ) of the operator (mathcal{K}_{l, alpha, k}) by Proposition 1.
Their Theorem 2.2 provides estimates for (vert mathbf{gen}^{prime }(D) vert ) of a central division algebra (D) over (K = k(x)) of a prime exponent (p ne mathrm{char} k) similar to those given in Theorem 3.3.
Thanks to this, it is convenient to introduce the space (vert mathcal{H} vert ) of the measurable function h on ([ {0,T} ]) satisfying begin{aligned} Vert h Vert _{vert mathcal{H} vert }^{2} = int_{0}^{T} { int_{0}^{T} {biglvert {h( t)} bigrvert biglvert {h( s)}bigrvert varphi( {t,s}),ds,dt < infty}}.
If (p>3) and some elements satisfy begin{aligned} vert nabla w_{0} vert ^{p-2}ll vert nabla w_{0} vert < 1, end{aligned} then there may be a situation that (vert nabladelta u_{0} vert ) of (2.4) is far greater than 1 on these elements, which often occurs in numerical experiments involved in Section 5.
Russell's word-processing software is Qwerty, out of Danbury, New Hampshire, and its tapping cane is Soft Vert, out of Mountain View, California--a program designed to make other programs speak.
Figs. 11 and 12 show the movement of (vert uvert ) of scheme (2.7)–(2.9) and Richardson extrapolation at (t = 2, 5, 10), respectively.
Though much disagreement exists, it is probable that he was a native French speaker, and a notary, poet or member of the Compagnie du Chapel Vert ("Society of the Green Hat") at Tournai.
Mike Marolt earning his prize at Illimani in Bolivia, with the first single day ascent descent with 9,000 ft of vert to 21,150 feet.
Skateboard Park was designed to allow young skaters versed in street style to compete with the older riders of vert ramps; all of the competitors were teenagers or in their 30s.
