51,822 research outputs found
Review of the environmental effects of the Space Station Freedom photovoltaic power module
An overview is provided of the environment in the low Earth orbit (LEO), the interaction of this environment with the Photovoltaic (PV) Power system of the Space Station Freedom is reviewed, and the environmental programs are described that are designed to investigate the interactions of the LEO environment with the photovoltaic power system. Such programs will support and impact the design of the subsystems of the PV module in order to survive the design lifetime in the LEO natural and induced environment
Low Earth orbit environmental effects on the space station photovoltaic power generation systems
A summary of the Low Earth Orbital Environment, its impact on the Photovoltaic Power systems of the space station and the solutions implemented to resolve the environmental concerns or issues are described. Low Earth Orbital Environment (LEO) presents several concerns to the Photovoltaic power systems of the space station. These concerns include atomic oxygen interaction with the polymeric substrate of the solar arrays, ionized environment effects on the array operating voltage, the effects of the meteoroids and debris impacts and penetration through the different layers of the solar cells and their circuits, and the high energy particle and radiation effects on the overall solar array performance. Potential solutions to some of the degrading environmental interactions that will provide the photovoltaic power system of the space station with the desired life are also summarized
Lower central series and free resolutions of hyperplane arrangements
If is the complement of a hyperplane arrangement, and A=H^*(M,\k) is
the cohomology ring of over a field of characteristic 0, then the ranks,
, of the lower central series quotients of can be computed
from the Betti numbers, b_{ii}=\dim_{\k} \Tor^A_i(\k,\k)_i, of the linear
strand in a (minimal) free resolution of \k over . We use the
Cartan-Eilenberg change of rings spectral sequence to relate these numbers to
the graded Betti numbers, b'_{ij}=\dim_{\k} \Tor^E_i(A,\k)_j, of a (minimal)
resolution of over the exterior algebra .
From this analysis, we recover a formula of Falk for , and obtain a
new formula for . The exact sequence of low degree terms in the
spectral sequence allows us to answer a question of Falk on graphic
arrangements, and also shows that for these arrangements, the algebra is
Koszul iff the arrangement is supersolvable. We also give combinatorial lower
bounds on the Betti numbers, , of the linear strand of the free
resolution of over ; if the lower bound is attained for , then it
is attained for all . For such arrangements, we compute the entire
linear strand of the resolution, and we prove that all components of the first
resonance variety of are local. For graphic arrangements (which do not
attain the lower bound, unless they have no braid sub-arrangements), we show
that is determined by the number of triangles and subgraphs
in the graph.Comment: 25 pages, to appear in Trans. Amer. Math. So
Chen ranks and resonance
The Chen groups of a group are the lower central series quotients of the
maximal metabelian quotient of . Under certain conditions, we relate the
ranks of the Chen groups to the first resonance variety of , a jump locus
for the cohomology of . In the case where is the fundamental group of
the complement of a complex hyperplane arrangement, our results positively
resolve Suciu's Chen ranks conjecture. We obtain explicit formulas for the Chen
ranks of a number of groups of broad interest, including pure Artin groups
associated to Coxeter groups, and the group of basis-conjugating automorphisms
of a finitely generated free group.Comment: final version, to appear in Advances in Mathematic
Fishes of the Strawberry River System of Northcentral Arkansas
A survey of the fishes of the Strawberry River in northcentral Arkansas was made between August 1967 and November 1973. Field collections, literature records and museum specimens showed the ichthyofauna of the Strawberry River to be made up of 95 species distributed among 17 families. Two erroneous records are deleted. One subspecies, Etheostoma spectabile fragi,, is endemic to the river. Records of Notropis fumeus, Etheostotna nigrum, Etheostoma proeliare and Percina sciera represent extensions of previously known ranges within the state
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