1,377 research outputs found
Generalized Elliptic Integrals and the Legendre M-function
We study monotonicity and convexity properties of functions arising in the
theory of elliptic integrals, and in particular in the case of a
Schwarz-Christoffel conformal mapping from a half-plane to a trapezoid. We
obtain sharp monotonicity and convexity results for combinations of these
functions, as well as functional inequalities and a linearization property.Comment: 28 page
Generalized Convexity and Inequalities
Let R+ = (0,infinity) and let M be the family of all mean values of two
numbers in R+ (some examples are the arithmetic, geometric, and harmonic
means). Given m1, m2 in M, we say that a function f : R+ to R+ is
(m1,m2)-convex if f(m1(x,y)) < or = m2(f(x),f(y)) for all x, y in R+ . The
usual convexity is the special case when both mean values are arithmetic means.
We study the dependence of (m1,m2)-convexity on m1 and m2 and give sufficient
conditions for (m1,m2)-convexity of functions defined by Maclaurin series. The
criteria involve the Maclaurin coefficients. Our results yield a class of new
inequalities for several special functions such as the Gaussian hypergeometric
function and a generalized Bessel function.Comment: 17 page
The mapping method as a toolbox to analyze, design, and optimize micromixers
The mapping method is employed as an efficient toolbox to analyze, design, and optimize micromixers. A new and simplified formulation of this technique is introduced here and applied to three micromixers: the staggered herringbone micromixer (SHM), the barrier-embedded micromixer (BEM), and the three-dimensional serpentine channel (3D-SC). The mapping method computes a distribution matrix that maps the color concentration distribution from inlet to outlet of a micromixer to characterize mixing in a quantitative way. Once the necessary distribution matrices are obtained, computations are fast and numerous layouts of the mixer are easily evaluated, resulting in an optimal design. This approach is demonstrated using the SHM and the BEM as typical examples. Mixing analysis in the 3D-SC illustrates that also complex flows, for example in the presence of back-flows, can be efficiently dealt with by using the new formulation of the mapping metho
Crossbred dairy cattle productivity in Arsi region, Ethiopia
Presents results of analyses carried out on a range of performance traits and productivity estimates for indigenous Arsi & Zebu cattle and their crosses with Jersey & Friesian, maintained for milk production at Asela station & on smallholder farms in the Arsi region of Ethiopia; includes data on age at first calving, calving interval, breeding efficiency, milk yield & composition and body weight
CP violation in 5D Split Fermions Scenario
We give a new configuration of split fermion positions in one extra dimension
with two different Yukawa coupling strengths for up-type, , and down-type,
, quarks at . The new configurations can give enough
CP violating (CPV) phase for accommodating all currently observed CPV
processes. Therefore, a 5D standard model with split fermions is viable. In
addition to the standard CKM phase, new CPV sources involving Kaluza-Klein(KK)
gauge bosons coupling which arise from the fact that unitary rotation which
transforms weak eigenstates into their mass eigenstates only holds for the zero
modes which are the SM fields and not for the KK excitations. We have examined
the physics of kaon, neutron, and mesons and found the most stringent
bound on the size of the extra dimension comes from .
Moreover, it depends sensitively on the width, , of the Gaussian
wavefunction in the extra dimension used to describe of the fermions. When
, the constraint will be lifted due to GIM suppression on the
flavor changing neutral current(FCNC) and CPV couplings.Comment: 24 pages, 8 figure
Agronomic and silage quality traits of forage sorghum cultivars in 1995
Agronomic and silage quality traits were
measure d for 37 forage sorghum cultivars and
three grain sorghum hybrids. The 1995 growing
season was characterized by above average
rainfall in the spring and early summer, and a
hard freeze on September 22. At the time of
the freeze, 20 cultivars had reached the early-milk
to early-dough stage, 12 were in the
bloom stage, and the remaining eight were still
in the early- to late-boot stage . The late planting
date and low plant populations resulted in
below-normal whole-plant D M and grain yields.
Plant height s for the grain sorghums were near
normal, but the forage sorghums were well
below expected plant heights. The preensiled,
whole-plan t DM contents of the 37 forage
sorghums ranged from 23.0 to 39.9%. As
expected , the silage nutritive value traits of CP,
NDF, and ADF were most favorable for the
three grain sorghum hybrids and least favorable
for the eight forage sorghum hybrids that were
still in the boot stage when the freeze occurred
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