in this paper, we give some characterizations for legendre spherical, legendre normal and legendre rectifying curves in the 3-dimensional sasakian space. furthermore, we show that legendre spherical curves are also legendre normal curves. in particular, we prove that the inverse of curvature of a legendre rectifying curve is a non-constant linear function of the arclength parameter.

We describe the analytic continuation of two-loop four-point functions with one off-shell external leg and internal massless propagators from the Euclidean region of space-like 1→ 3 decay to Minkowskian regions relevant to all 1→ 3 and 2→ 2 reactions with one space-like or time-like off-shell external leg. Our results can be used to derive two-loop master integrals and unrenormalized matrix ele...

An easy assembling-disassembling co-axial capillaries microfluidic device was built up for the production of double droplets. Uniform polymer core-polymer shell particles were synthesized by polymerizing the two immiscible monomer phases composing the double droplet. Thus poly(acrylamide) core-poly(tri(propylene glycol) diacrylate) shell particles with controlled core diameter and shell thickne...

Solution scattering is a low resolution diffraction method that provides important structural data on proteins. The ability to model scattering curves by recourse to known crystal structures for proteins under study significantly improves the resolution (and the utility) of the method because of the strict constraints that the crystal structures impose. For these structure determinations, a mol...

The modern diet has become highly sweetened, resulting in unprecedented levels of sugar consumption, particularly among adolescents. While chronic long-term sugar intake is known to contribute to the development of metabolic disorders including obesity and type II diabetes, little is known regarding the direct consequences of long-term, binge-like sugar consumption on the brain. Because sugar c...

Behavioral effects of intra-accumbens administration of the dopamine DAi receptor agonist (3,4-dihydroxyphenylimino)-2-imidazoline (DPI) were studied in freely moving rats. Three distinct areas were examined: core, shell and "shore," namely, the border region of the core and shell. DPI (5 micrograms) administered into the shell, but not areas ventral to the shell, increased chewing, tongue prot...

In this paper, yolk-shell hollow nanospheres of amorphous calcium phosphate (ACP) are prepared, and its loading capacity is investigated by comparing with that of solid-shell hollow structure ACP and cage-shell hollow structure ACP. Results show that the products are yolk @ cage-shell of ACP with large shell's pores size (15-40 nm) and large cavity volume. Adsorption results show that the loadi...