In [24], relying on the contraction mapping principle and a fixed point theorem due to O'Regan, Ahmad et al. were concerned with new boundary value problems of nonlinear q-fractional differential equations with nonlocal and sub-strip type boundary conditions.
This new boundary condition relates the nonlocal value of the unknown function at ξ with its influence due to a sub-strip ( η, 1 ), where 0 < ξ < η < 1.
Theorem 3.1 The generalized Riemann zeta function (3.1) is well defined and the weighted function Γ s)Ξ ν (s; 0) converges uniformly to the weighted Riemann zeta function Γ s)ζ(s) as ν → 0+ in every sub-strip 0 < σ 1 ≤ σ ≤ σ 2 < 1 of the critical strip 0 < σ < 1. Proof.
In (1.1), the second condition may be interpreted as a more general variant of nonlocal integral boundary conditions, which states that the integral contribution due to a sub-strip ( η, 1 ) for the unknown function is proportional to the value of the unknown function at a nonlocal point ξ ∈ ( 0, 1 ) with ξ < η < 1.
While our narrow sub-strip methodology is effective, it does come at a cost.
The USDA, which houses 6,8411 cowpea accessions from 50 countries, classifies cowpea leaf shapes into five categories; globose, hastate, sub-globose, sub-hastate, strip and ovate-lanceolate (http://www.ars-grin.gov/cgi-bin/npgs/html/desclist.pl?188).
It is shown that SOI rib micro-waveguides which are polarization insensitive have better results with corner mirrors provided that the waveguide height is more that 1.5 μm (loss <0.25 dB), while efficient 90°-turns can be achieved for SOI sub-micrometer strip waveguides using bends provided that curvature radius R is larger than a few microns (loss <0.1 dB for R>4 μm).
Everett's technique had improved still more, and his work on the early 1950s Sub-Mariner strips is characterized by a winningly cartoony touch with delicate, detailed renderings.
"After the Second World War ended, he saw an opportunity to expand the family business, and he procured a 130-foot sub-chaser, stripped it of its armor and guns and used it to carry lobsters on the long haul from Maine to Montauk".
Ronny Deila has the subs getting stripped.
Yellow sub-marginal strips of the tailfin and corresponding regions of red-tailed fish were excised and transferred to 1.5 ml tubes containing 600 μl RNAlater (Qiagen, Hilden, Germany) and stored at -20°C until RNA isolation.
