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The next step is to check the s.o.c. for an interior maximum in the worker's and employer's optimization problems.
The fact that f vanishes at both end points (0 and π) means that f must have an interior maximum f * > 0 at some θ o * ∈ (0, π).
They were selected to smoothly traverse a wide range of and values and have different shapes, asymmetric slopes, and a single interior maximum for both and. Figure 2 as a function of (dashed), and as a function of (solid).
To determine the interior maximum of our Lagrangian, we take the partial derivatives of L with respect to (u_{eta}(t)) and (u_{gamma}(t)), respectively, and set them to zero.
By differentiation, we then have at an interior maximum point y, g y + g z D v ρ ( y ) = 0 (2.4)and hence by condition A1*, there exists a unique x = T ∗ y corresponding to y.
Indeed, as in the section with risk neutrality, we know that the migrant's objective may admit an interior maximum in both s and r only if total returns to remittances are concave.
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The optimization problem (3.3)–(3.5) has interior maxima in (e_{T}) and R when the following condition holds, begin{aligned} gamma _{T}left[ 1+frac{alpha }{lambda }Dright] <1.
An examination of the mass transfer inside the droplet, in view of the solute transport delay from the gas liquid interface to the droplet interior, a maximum distribution in concentration difference between the droplet surface and the internal minimum concentration is exhibited.
"Uncompromisingly rectilinear, its interior gains maximum benefit from the extraordinary views which it commands.
It does frustrate me hugely reading about "slum" landlords with their ruthless commercial practices, or speculative buy-to-let investors gobbling up soulless new builds furnished with cheap cookie-cutter interiors for maximum commercial gain.
Mr. Giacosa succeeded in radically reinventing the small car not once, but twice, by changing the packaging of its basic components, then shaping bodies around the new layout for maximum interior space.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com