In this paper, we provide a thorough proof of most of Bertrand's Theorem. Using Arnold's book "Mathematical methods of classical mechanics" as a backbone and calculus methods demonstrated by Jovanović in his article "A note on the proof of Bertrand's theorem," we show that for masses in a central field...
This investigation attempts to demonstrate that the development
of the early 20th century biological enterprise involved a striving for a
unifying theoretical perspective. A skeletal substantiation of this is
given by an overview of early 20th century biology in which some
biologists began recognizing a multiplicity of different orders of...
Cortical development is a complex process that involves many events including proliferation, cell cycle exit, and differentiation that need to be appropriately synchronized.. Neural stem cells (NSCs) isolated from embryonic cortex are characterized by their ability of self-renewal under continued maintenance of multipotency. The G1 phase of the cell cycle...
The ever-increasing global population presents looming problems for the field of agriculture. Global food demand will, at some point, increase to the point where there is not enough crop-ready land to keep up. This creates an additional incentive, other than economics, for growers to increase their yield-per-acre and make sure...
Stratigraphy and chronology are essential to sedimentological study of Earth system histories. And, stratigraphy and chronology are often challenging and interesting problems themselves. The Quaternary (2.588 Ma - present) experienced paleoenvironmental and paleo-geomagnetic variability well outside the range of the recent instrumental record, providing the opportunity to place recent observations...
The oxidation of sorbitol by soluble extracts of A. suboxydans proceeds by two pathways depending upon which pyridine nucleotide is present. In the presence of TPN, sorbose is formed. In the presence of DPN fructose is
produced. Both products of the oxidation of sorbitol have been identified by paper chromatography,...
The effects of broadcast gypsum on infiltration rates, crusting,
aggregate stability, and runoff and sediment yields were analyzed
during the winter months on three West Oregon soils. The results were
used to evaluate its utility as a management tool to help control
erosion.
An application rate of two metric tons...
In recent years, many studies have focused on the molecular and biochemical mechanisms regulating the development of wine grapes. The course of grape berry development is directed by genetic design and is mediated by phytohormones, which regulate grape berry growth and development by orchestrating a complex network of interacting genes,...