The Frobenius Integrability Theorem and the Blind-Spot Problem for Motor Vehicles

Meredith L. Coletta; R. Andrew Hicks; Shari Moskow

doi:10.1137/100793347

The Frobenius Integrability Theorem and the Blind-Spot Problem for Motor Vehicles

SIAM Journal on Imaging Sciences ◽

10.1137/100793347 ◽

2013 ◽

Vol 6 (3) ◽

pp. 1367-1384

Author(s):

Meredith L. Coletta ◽

R. Andrew Hicks ◽

Shari Moskow

Keyword(s):

Blind Spot ◽

Motor Vehicles ◽

Integrability Theorem ◽

Frobenius Integrability

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A Method of Studying Integrals of Dynamical Systems Based On Frobenius’ Integrability Theorem

Symmetries in Science III ◽

10.1007/978-1-4613-0787-7_29 ◽

1989 ◽

pp. 493-503 ◽

Cited By ~ 1

Author(s):

S. Wojciechowski

Keyword(s):

Dynamical Systems ◽

Integrability Theorem ◽

Frobenius Integrability

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Blind-spot problem for motor vehicles

Applied Optics ◽

10.1364/ao.44.003893 ◽

2005 ◽

Vol 44 (19) ◽

pp. 3893 ◽

Cited By ~ 14

Author(s):

R. Andrew Hicks ◽

Ronald K. Perline

Keyword(s):

Blind Spot ◽

Motor Vehicles

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On first integrals of linear systems, Frobenius integrability theorem and linear representations of Lie algebras

Lecture Notes in Mathematics - Bifurcations of Planar Vector Fields ◽

10.1007/bfb0085396 ◽

1990 ◽

pp. 243-271 ◽

Cited By ~ 3

Author(s):

Jean Moulin Ollagnier ◽

Jean-Marie Strelcyn

Keyword(s):

Linear Systems ◽

Lie Algebras ◽

First Integrals ◽

Integrability Theorem ◽

Linear Representations ◽

Representations Of Lie Algebras ◽

Frobenius Integrability

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Long-term variations in individual particle types in the aerosol of Phoenix, Arizona, as determined using automated electron microprobe analysis and multivariate statistical techniques

Proceedings, annual meeting, Electron Microscopy Society of America ◽

10.1017/s0424820100149544 ◽

1993 ◽

Vol 51 ◽

pp. 742-743

Author(s):

Karen A. Katrinak ◽

James R. Anderson ◽

Peter R. Buseck

Keyword(s):

Electron Microprobe ◽

Fine Fraction ◽

Coarse Fraction ◽

Motor Vehicles ◽

Multivariate Statistical Methods ◽

Multivariate Statistical ◽

X Ray ◽

Mineral Particles ◽

Anthropogenic Air Pollutants

Aerosol samples were collected in Phoenix, Arizona on eleven dates between July 1989 and April 1990. Elemental compositions were determined for approximately 1000 particles per sample using an electron microprobe with an energy-dispersive x-ray spectrometer. Fine-fraction samples (particle cut size of 1 to 2 μm) were analyzed for each date; coarse-fraction samples were also analyzed for four of the dates.The data were reduced using multivariate statistical methods. Cluster analysis was first used to define 35 particle types. 81% of all fine-fraction particles and 84% of the coarse-fraction particles were assigned to these types, which include mineral, metal-rich, sulfur-rich, and salt categories. "Zero-count" particles, consisting entirely of elements lighter than Na, constitute an additional category and dominate the fine fraction, reflecting the importance of anthropogenic air pollutants such as those emitted by motor vehicles. Si- and Ca-rich mineral particles dominate the coarse fraction and are also numerous in the fine fraction.

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