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Articles 781 - 810 of 2184
Full-Text Articles in Physical Sciences and Mathematics
Study Of Electrodepositing Bright Tin Cobalt Zinc Alloy From Weak Acid Solution, Zhengzhong Zuo, Runxiang Hou, Shaochun Xia
Study Of Electrodepositing Bright Tin Cobalt Zinc Alloy From Weak Acid Solution, Zhengzhong Zuo, Runxiang Hou, Shaochun Xia
Journal of Electrochemistry
A new process of electrodeposting bright Tin Cobalt Zinc alloy from weak acid solution is proposed in this paper. The solution compositions and operating conditions are Na3C6H5O7·2H2O 100~150, Na2EDTA·2H2O 20~30, SnCl2·2H2O 15~20, CoSO4·72H2O 25~35, ZnCl2 15~20 g·L-1; stabilizer WDZ-160~100, brightener WDZ-215~20 mL·L-1; pH=4~6, DK=0.5~5.0 A·dm-2, T=5~35 ℃. A bright Sn-Co-Zn deposit having Co about 0.5~3.5% and Zn about 1~10% is produced. The effects of bath compositions on Co or …
Electroluminescence Of Photoelectrochemically Etched N+-Si, Guozheng Li, Chengqian Zhang, Xiumei Yang
Electroluminescence Of Photoelectrochemically Etched N+-Si, Guozheng Li, Chengqian Zhang, Xiumei Yang
Journal of Electrochemistry
Porous silicon with micrometer size pores, which is made on n+-Si by photoelectrochemically etched, has electroluminescent property. Each monochromic intensity and wavelength range of luminescent spectra depend on polarized potential. The intersity and the stability of cathodic electroluminescence is high than those of anodic one. Voltammetric behavior before quenching indicated that the electrochemical reactions of some surface species are involved in except the reduction of S2O82-, which leads to radiative recombination. The energy band diagram based on n+-Si(Eg=1.1 eV)/PS(Eg=1.8 eV) junction is proposed.
Effects Of Curvature On The Electrochemical Behaviors Of Tubular Electrode, Yirong Wu, Zhenghao Wang
Effects Of Curvature On The Electrochemical Behaviors Of Tubular Electrode, Yirong Wu, Zhenghao Wang
Journal of Electrochemistry
The convective diffusion equation of tubular electrode was solved with the implicit finite difference numerical method. Comparing with the electrochemical behaviors of channel electrode, the behaviors of tubular electrode were analysised. The effects of curvature on the electrochemical behaviors of tubular electrode and the limit of applying Levich approximation to tubular electrode were discussed.
Mechanism And Texture Of Ni-Mo Alloy Electrodeposition, Ling Huang, Shukai Xu, Jaoning Tang, Fangzu Yang, Shaomin Zhou
Mechanism And Texture Of Ni-Mo Alloy Electrodeposition, Ling Huang, Shukai Xu, Jaoning Tang, Fangzu Yang, Shaomin Zhou
Journal of Electrochemistry
Ni-Mo alloy deposits with (111) preferred orientation was obtained in a solution of 0.22 mol/L NiSO4·6H2O, 0.06 mol/L Na2MoO4·2H2O and 0.3 mol/L Na3C6H5O7·2H2O in temperature from 25℃ to 50℃, and current densities ranged from 10 mA·cm-2 to 30 mA·cm-2. The electrodeposition of Ni-Mo alloy was studied by cylic voltammetry and potential step experiment. It was shown that Ni-Mo alloy is formed by mechanism involving progressive nucleation followed by three dimensional growth of the metal centres. The complex …
The Influence Of Dextran And Its Anion Derivates On The Electrofusion Of Barley Protoplasts, Wei Wang, Zhiyu Jiang
The Influence Of Dextran And Its Anion Derivates On The Electrofusion Of Barley Protoplasts, Wei Wang, Zhiyu Jiang
Journal of Electrochemistry
The influence of dextran and its anion derivates (blue dextran, cibacron blue dexran, fluoresceinythiocarbamoyl dextran) on the electrofusion of barley protoplasts has been investigated. It was found that as a kind of neutral surface active agent, dextran could promote the electrofusion, but these anion derivates could decrease the electrofusion yield. The phenomena were discussed from the view of adsorption of additives on the cell membrane.
Study On The Preparation, Properties And Applications Of The Polymer/Graphite Composite Electrode, Guohua Chen, Jinrui Xu
Study On The Preparation, Properties And Applications Of The Polymer/Graphite Composite Electrode, Guohua Chen, Jinrui Xu
Journal of Electrochemistry
The graphite AS composite electrodes, which show high electric conductivity, high mechanical strength and operationl stability, were prepared by filling and extruding the AS copolymer with graphite powder. It exhibited a substantial hydrogen overvoltage and small residual current in different electrolytes, as compared with glassy carbon electrode. The electrode was applied to the determination of traces of Pb2+ in mineral water, Ag+ in waste water and In3+, Cu2+, Pb2+, Cd2+ in zinc ore, and showed high stability, reproducibility and selectivity. Owing to the existence of abundant polar functioal groups on the …
1997 - The Second Annual Symposium Of Student Scholars
1997 - The Second Annual Symposium Of Student Scholars
Symposium of Student Scholars Program Books
The full program book from the Second Annual Symposium of Student Scholars, held on May 23rd, 1997. Includes abstracts from the presentations and posters.
Differential Cross Sections Of D*± Photoproduction In Ep Collisions At Hera, J. Breitweg, M. Derrick, D. Krakauer, S. Magill, D. Mikunas, B. Musgrave, J. Repond, R. Stanek, R. L. Talaga, R. Yoshida, H. Zhang, Margarita C. K. Mattingly, F. Anselmo, R. Antonioli, G. Bari, M. Basile, L. Bellagamba, D. Boscherini, A. Bruni, G. Bruni, G. Cara Romeo, G. Castellini, L. Cifarelli, F. Cindolo, A. Contin, M. Corradi, I. Gialas, R. Giusti, G. Iacobucci, G. Laurenti, G. Levi
Differential Cross Sections Of D*± Photoproduction In Ep Collisions At Hera, J. Breitweg, M. Derrick, D. Krakauer, S. Magill, D. Mikunas, B. Musgrave, J. Repond, R. Stanek, R. L. Talaga, R. Yoshida, H. Zhang, Margarita C. K. Mattingly, F. Anselmo, R. Antonioli, G. Bari, M. Basile, L. Bellagamba, D. Boscherini, A. Bruni, G. Bruni, G. Cara Romeo, G. Castellini, L. Cifarelli, F. Cindolo, A. Contin, M. Corradi, I. Gialas, R. Giusti, G. Iacobucci, G. Laurenti, G. Levi
Faculty Publications
Inclusive photoproduction of D*± in ep collisions at HERA has been measured with the ZEUS detector for photon-proton centre of mass energies in the range 115 < W < 280 GeV and photon virtuality Q2 < 4 GeV2. The cross section σ → D*X integrated over the kinematic region pDz.ast;⊥ > 3 GeV and -1.5 < ηD* < 1.0 is (10.6 ± 1.7(stat.) ± 1.61.3 (syst.)) nb. Differential cross sections as functions of pD*⊥, ηD* and W are given. The data are compared with two next-to-leading order perturbative QCD predictions. For a calculation using a massive charm scheme the predicted cross sections are smaller than the measured ones. A recent calculation using a massless charm scheme is in agreement with the data. © 1997 Published by Elsevier Science B.V.
Pooling Community Data For Community Interventions When The Number Of Pairs Is Small, Paula Diehr, Ted Lystig, Holly Andrilla, Ziding Feng
Pooling Community Data For Community Interventions When The Number Of Pairs Is Small, Paula Diehr, Ted Lystig, Holly Andrilla, Ziding Feng
UW Biostatistics Working Paper Series
There is considerable interest in community interventions for health promotion, where the community is the experimental unit. Because such interventions are expensive, the number of experimental units (communities) is usually very small, yielding a study with low power. We examined the ability of a process known as “pooling” or “preliminary significance testing” to improve the power of community variations. In this process, one first tests whether there is significant community variation, using type 1 error of perhaps 0.25. If there is significant variation, the usual community-level test is performed. If not, a person-level test is performed. We found through Monte …
Managed Health Care And Its Effects On Health Care Access In Box Elder County Utah, Douglas Sean Linford
Managed Health Care And Its Effects On Health Care Access In Box Elder County Utah, Douglas Sean Linford
Undergraduate Honors Capstone Projects
Since 1994 the issue of how access is impacted by managed care in rural Utah has been the focus of State advisory groups, the Utah Health Policy Commission, and the legislature. The Health Systems Improvement Act (1995) formalized the concern with a request that the Utah Department of Health study this impact (Sinclair et. Al., #2, pg. 1). In focus meetings around the state, the perception that managed care can negatively impact access in rural communities is generally accepted without significant controversy. Such comments often assume that rural residents will be forced to travel further or will receive fewer services …
Oscillation Properties Of First Order Neutral Delay Differential Equations, Roderick B. Holmes
Oscillation Properties Of First Order Neutral Delay Differential Equations, Roderick B. Holmes
Theses (Pre-2016)
N/A
Communicating The Role Of Science In Managing Giant Sequoia Groves, Douglas D. Piirto, Robert R. Rogers, Mary C. Bethke
Communicating The Role Of Science In Managing Giant Sequoia Groves, Douglas D. Piirto, Robert R. Rogers, Mary C. Bethke
Natural Resources Management and Environmental Sciences
Management of giant sequoia groves has been and continues to be a hotly debated issue. The debate has reached Congress, with all parties seeking resolution as to what constitutes an ecologically and publicly acceptable management approach. Determining the correct management approach and communicating that approach to the general public is the crux of the problem. Emerging concepts and principles of forest ecosystem management may provide a mechanism to seek resolution of these management problems related to giant sequoia. The Memorandum of Understanding between the members of the recently formed Giant Sequoia Ecology Cooperative provided the impetus for the development of …
Carboxymethylethanolamine, A Biomarker Of Phospholipid Modification During The Maillard Reaction In Vivo, Jesus R. Requena, Mahtab U. Ahmed, C. Wesley Fountain, Thorsten P. Degenhardt, Sharanya Reddy, Cliff Perez, Timothy J. Lyons, Alicia J. Jenkins, John W. Baynes, Suzanne R. Thorpe
Carboxymethylethanolamine, A Biomarker Of Phospholipid Modification During The Maillard Reaction In Vivo, Jesus R. Requena, Mahtab U. Ahmed, C. Wesley Fountain, Thorsten P. Degenhardt, Sharanya Reddy, Cliff Perez, Timothy J. Lyons, Alicia J. Jenkins, John W. Baynes, Suzanne R. Thorpe
Faculty Publications
Nepsilon-(Carboxymethyl)lysine (CML) is a stable chemical modification of proteins formed from both carbohydrates and lipids during autoxidation reactions. We hypothesized that carboxymethyl lipids such as (carboxymethyl)phosphatidylethanolamine (carboxymethyl-PE) would also be formed in these reactions, and we therefore developed a gas chromatography-mass spectrometry assay for quantification of carboxymethylethanolamine (CME) following hydrolysis of phospholipids. In vitro, CME was formed during glycation of dioleoyl-PE under air and from linoleoylpalmitoyl-PE, but not from dioleoyl-PE, in the absence of glucose. In vivo, CME was detected in lipid extracts of red blood cell membranes, approximately 0.14 mmol of CME/mol of ethanolamine, from control and diabetic subjects, …
Port Everglades Macroinvertebrate Monitoring: Monitoring Of Benthic Macroinvertebrate Assemblages At The Southport Turning Basin And Adjacent Areas Of John U. Lloyd State Recreation Area: August 1996 (Including A Summary Of Previous Survey Results, 1991-1996), Charles G. Messing, Richard E. Dodge
Port Everglades Macroinvertebrate Monitoring: Monitoring Of Benthic Macroinvertebrate Assemblages At The Southport Turning Basin And Adjacent Areas Of John U. Lloyd State Recreation Area: August 1996 (Including A Summary Of Previous Survey Results, 1991-1996), Charles G. Messing, Richard E. Dodge
Marine & Environmental Sciences Faculty Reports
This report documents the August 1996 monitoring of benthic macroinvertebrate assemblages in the Port Everglades Southport turning basin vicinity and adjacent areas of John U. Lloyd State Recreation Area. This is the eleventh monitoring effort of the series carried out by Nova Southeastern University Oceanographic Center. Samples were taken chiefly during the first two weeks of August although some sampling of crab stations was delayed until late September/early October.
First Energetic Neutral Atom Images From Polar, M. G. Henderson, G. D. Reeves, Harlan E. Spence, R. B. Sheldon, A. M. Jorgensen, J. B. Blake, J. F. Fennell
First Energetic Neutral Atom Images From Polar, M. G. Henderson, G. D. Reeves, Harlan E. Spence, R. B. Sheldon, A. M. Jorgensen, J. B. Blake, J. F. Fennell
Physics & Astronomy
Energetic neutral atoms are created when energetic magnetospheric ions undergo charge exchange with cold neutral atoms in the Earth's tenuous extended atmosphere (the geocorona). Since they are unaffected by the Earth's magnetic field, these energetic neutrals travel away in straight line trajectories from the points of charge exchange. The remote detection of these particles provides a powerful means through which the global distribution and properties of the geocorona and ring current can be inferred. Due to its 2 × 9 RE polar orbit, the Polar spacecraft provides an excellent platform from which to observe ENAs because it spends much of …
Grand Canonical Monte Carlo And Modified Singlet Integral Equations For The Density Profile Of A Yukawa Fluid Near A Planar Wall, Douglas Henderson, Wilmer Olivares-Rivas, Leo Degreve, Jacqueline Quintana
Grand Canonical Monte Carlo And Modified Singlet Integral Equations For The Density Profile Of A Yukawa Fluid Near A Planar Wall, Douglas Henderson, Wilmer Olivares-Rivas, Leo Degreve, Jacqueline Quintana
Faculty Publications
Results for the density profile for Yukawa molecules near a hard wall and an exponential attractive wall are presented for Grand Canonical Monte Carlo (GCMC) simulations, for the singlet hypernetted chain (HNC) integral equation and for a modified version of the Lovett–Mou–Buff–Wertheim (LMBW-1) which uses the exact contact value theorem. The results of the standard singlet HNC are quite poor. If the LMBW equation is modified (but still using the bulk direct correlation function) the results at high temperature become reasonable. However, the results at low temperatures, close to the bulk coexistence curve, are only a partial improvement. The contact …
Settlements Due To Arid Collapsible Soils, Heather L. Devine
Settlements Due To Arid Collapsible Soils, Heather L. Devine
Dissertations and Theses
The arid alluvial deposits common to the western United States frequently undergo moderate to severe collapse when wetted that can threaten or destroy the stability of structures that are founded on such soils. Additionally, in some areas collapse has been known to occur due to overburden stresses alone. As development expands in these areas a method to estimate the degree of this collapse is essential.
Current settlement methods are reviewed and evaluated as they apply to collapsible soils, providing a basis for the development of a proposed settlement method for determining collapse. To aid in the determining the basis for …
Geochemistry, Stratigraphy And Provenance Of The Portland Hills Silt In The Tualatin Mountains, Portland, Oregon, John L. Lawes Iii
Geochemistry, Stratigraphy And Provenance Of The Portland Hills Silt In The Tualatin Mountains, Portland, Oregon, John L. Lawes Iii
Dissertations and Theses
Soil morphology and geochemistry of loess were investigated at nine sites in the Tualatin Mountains west of Portland and at additional sites in The Dalles, eastern Washington and Puget Sound. A total of forty samples were examined using Instrumental Neutron Activation Analysis (INAA).
Stratigraphic relationships and soil development suggest that the PHS ages of Lentz (1977) be revised. The age of the Portland Hills Silt (PHS) ranges from 12,000 to at least 960,000 years before present.
The geochemistry of the PHS supports the Lentz (1977) hypothesis of the PHS as a loess of continental origin. Thorium/scandium ratios in the PHS …
Stereoselective Adsorptive Bubble Process, Daniel W. Armstrong, Yubing Tang
Stereoselective Adsorptive Bubble Process, Daniel W. Armstrong, Yubing Tang
Chemistry Faculty Research & Creative Works
Process for enriching the concentration of an enantiomer (or a diastereomer) in a mixture of optically active isomers. The process includes preparing a solution containing the mixture of the optically active isomers and a chiral collector in which the chiral collector and the enantiomer (or diastereomer) are associated with each other. A gas is bubbled through a pool of the solution to form a foam, the surfaces of the bubbles in the foam having the chiral collector and the enantiomer (or diastereomer) preferentially adsorbed thereto so that the concentration ratio of the optically active isomers at said bubble surfaces differs …
Blm Rangeland: Has The Condition Improved?, Angela C. Dudley
Blm Rangeland: Has The Condition Improved?, Angela C. Dudley
UNLV Theses, Dissertations, Professional Papers, and Capstones
"Whose Home Is the Range, Anyway?: The latest research is confirming that in the West's fragile public lands, cattle are often bad news for wildlife." This is the title and headline of Lisa Drew's article in the December/January 1994 issue of National Wildlife. It shows a picture of what looks like a wasteland with only cattle, manure and a fence, no vegetation (Drew, 1994). Inside the article, Drew quotes biologist Bob Ohmart at Arizona State University's Center for Environmental Studies as saying, "Livestock grazing is without a doubt the greatest threat to western wildlife" (p. 15). Drew contends that, "The …
Molecular Fluorescence At A Rough Surface: The Orientation Effects, William Lee Blacke
Molecular Fluorescence At A Rough Surface: The Orientation Effects, William Lee Blacke
Dissertations and Theses
The interaction between an emitting molecular dipole and a conducting substrate with a periodic surface roughness is looked at with particular interest in the different orientations of the dipole with respect to the substrate surface. A previous dynamical, perturbative theory for the effects of perpendicular dipole is extended to treat a dipole oriented parallel to the surface of the substrate. The results are then applied to study the modified fluorescence characteristics of the emitting dipoles. Numerical results demonstrate that some fluorescence characteristics are extremely sensitive to the molecular orientation with the dipole oriented along the grating (x direction) exhibiting unique …
Early To Middle Pleistocene Catastrophic Flood Deposits, The Dalles, Oregon, David Irving Cordero
Early To Middle Pleistocene Catastrophic Flood Deposits, The Dalles, Oregon, David Irving Cordero
Dissertations and Theses
A roadcut on Highway 197, three kilometers southeast of The Dalles, Oregon, exposes a sequence of Quaternary sediments and five buried paleosols. The sediments, paleosols, and associated tephras at this site provide evidence of a Quaternary history of catastrophic flooding in the Columbia Basin extending back at least 700 ka and of an early eruption (ca. 600 ka) of Mount Adams. Four sedimentary units are exposed in this cut: Holocene loess, late Wisconsin Missoula Flood slackwater deposits, five pre-late Wisconsin catastrophic flood slackwater deposits bearing well developed paleosols, and late Tertiary Dalles Formation volcaniclastics. All but the oldest are predominantly …
Signal Transduction Pathways In Volvox Carteri, Heide Girardin
Signal Transduction Pathways In Volvox Carteri, Heide Girardin
Honors Theses
The green alga Volvox carteri exhibits a virtual absence of protein synthesis in the dark, but begins synthesizing proteins necessary for growth and development almost immediately after exposure to the light. The regulation of protein synthesis in this system is known to be translational since extracts prepared in the dark have identical pools and quantities of mRNA as extracts prepared in the light (Kirk and Kirk, 1983). Exploration of the mechanism of translational regulation has led us to consider the importance of signal transduction pathways. By using a variety of commercially available drugs that affect specific components of known signaling …
Celluloid Blackness : Race, Modernity, And The Conflicted Roots Of American Cinema (1915-1939), Lincoln Farr
Celluloid Blackness : Race, Modernity, And The Conflicted Roots Of American Cinema (1915-1939), Lincoln Farr
Honors Theses
Introduction: "The Problem of the Twentieth Century" In a full page interview in the New York Times on May 29, 1912, the Swiss psychiatrist Dr. Carl G. Jung told the American people, "It seems to me that you are about to discover yourselves. You have discovered everything else-all the land of this continent; all the resources, all the hidden things of nature."Jung used the interview to address the American people, at a moment which he somehow recognized as crucial in the development of human civilization. America, the "tragic" country which he struggled to comprehend, would soon become the harbinger of …
Laser-Initiated Decomposition Products Of Indocyanine Green (Icg) And Carbon Black Sensitized Biological Tissues, John M. Kokosa, Andrzej Przyjazny, Kenneth Eugene Bartels, Massoud Motamedi, Donald J. Hayes, David B. Wallace, Christopher J. Frederickson
Laser-Initiated Decomposition Products Of Indocyanine Green (Icg) And Carbon Black Sensitized Biological Tissues, John M. Kokosa, Andrzej Przyjazny, Kenneth Eugene Bartels, Massoud Motamedi, Donald J. Hayes, David B. Wallace, Christopher J. Frederickson
Chemistry & Biochemistry Publications
Organic dyes have found increasing use a s sensitizers in laser surgical procedures, due to their high optical absorbances. Little is known, however, about the nature of the degradation products formed when these dyes are irradiated with a laser. Previous work in our laboratories has shown that irradiation of polymeric and biological tissues with CO2 and Nd:YAG lasers produces a host of volatile and semivolatile by-products, some of which are known to be potential carcinogens. This work focuses on the identification of the chemical by-products formed by diode laser and Nd:YAG laser irradiation of indocyanine green (ICG) and carbon black …
On Some New Constructions Of Difference Sets, Sarah Agnes Spence
On Some New Constructions Of Difference Sets, Sarah Agnes Spence
Honors Theses
Difference sets are mathematical structures which arise in algebra and combinatorics, with applications in coding theory. The fundamental question is when and how one can construct difference sets. This largely expository paper looks at standard construction methods and describes recent findings that resulted in new families of difference sets. This paper provides explicit examples of difference sets that arise from the recent constructions. By gaining a thorough understanding of these new techniques, it may be possible to generalize the results to find additional new families of difference sets. The paper also introduces partial and relative difference sets and discusses how …
Quantitative Analysis Of Microbial Growth In Selected Meats Before And After Spoilage Due To Change In Temperature, Richelle Beverly
Quantitative Analysis Of Microbial Growth In Selected Meats Before And After Spoilage Due To Change In Temperature, Richelle Beverly
Electronic Dissertations and Theses
Upton Sinclair wrote The Jungle over ninety years ago. This book exposed the failures of the United States meat packing industry which led to major modernization of the meat safety system. The beef and poultry industry make up about 66 percent of the total meat eaten by Americans. Due to many illnesses and deaths in recent years, the United States Department of Agriculture is announcing new measures to reduce harmful bacteria levels in products. Quality control and safety measures to protect consumers have been put in place by I • I the Food and Drug Administration. Consumers are warned of …
Optimization And Spectrophotometric Comparisons Of Radiochromic Dye (2,3,5-Triphenyl-2-H-Tetrazolium Chloride) In Gelatin And Agar Models: Gamma And Electron Beam Irradiations, Lakindra P. Frances
Optimization And Spectrophotometric Comparisons Of Radiochromic Dye (2,3,5-Triphenyl-2-H-Tetrazolium Chloride) In Gelatin And Agar Models: Gamma And Electron Beam Irradiations, Lakindra P. Frances
Electronic Dissertations and Theses
After irradiation, the colorless radiochromic dye, 2,3,5-triphenyl-2H-tetrazolium chloride (TTC), changes to red triphenyl formazan pigment, and the distribution of absorbed dose in the tissue-equivalent gelatin and agar media can be studied. Using solutions 8% by weight gelatin and 8% by weight agar, both with 3 mM citric acid as buffer and 4 mM concentration of dye, the radiation-induced absorbency of a sample slowly decreased with increasing wavelength. In the gel, TTC is very light sensitive, and 7 days after irradiation, becomes less stable. The samples were irradicated by gamma and electron beam. Nine different doses were used for the 60 …
Impact Of The Adoption Of New Technology (Facnet) On A Minority-Owned Small Business In Colorado, Tamara L. James
Impact Of The Adoption Of New Technology (Facnet) On A Minority-Owned Small Business In Colorado, Tamara L. James
McCabe Thesis Collection
FACNET is a computer network that moves Electronic Data Interchange (EDI) from the Department of Defense (DoD) and federal buying sites to and from the certified Value Added Network (VAN).
This study is conducted to answer the following questions about the use FACNET by XYZ Communications:
1) Has FACNET helped reduce the cost of paper used in the business?
2) Has FACNET helped reduce the cost of long distance calls (telephone and fax) in the business?
3) Has FACNET helped reduce the cost of traveling expenses (hotel and transportation) in the business?
4)Has FACNET helped the business to conduct in …
The Link Between Scrambling Numbers And Derangements, Barry Balof, Eric Farmer, Jamie Kawabata
The Link Between Scrambling Numbers And Derangements, Barry Balof, Eric Farmer, Jamie Kawabata
Mathematical Sciences Technical Reports (MSTR)
The group equation abcdef = dabecf can be reduced to the equation xcde = dxec. In general, we are interested in how many variables are needed to represent group equations in which the right side is a permutation of the variables on the left side. Scrambling numbers capture this information about a permutation. In this paper we present several facts about scrambling numbers, and expose a striking relationship between permutations that cannot be reduced and derangements.