Physical Sciences and Mathematics Commons^™

Torus Knots, David S. Bradley

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

We have compiled here many interesting results concerning a particular collection of knots called torus knots. Torus knots are merely simple closed curves imbedded in an unknotted torus T² in E³. We show that the fundamental groups of T², π(T²), is the direct product of the additive group of integers with itself. The ordered pair (p, q) in Z x Z determines an equivalence class of loops on the torus, and we show in Section II that the class [(p, q)] contains a loop whose image is a simple closed curve if and …

Effects Of Season And Intensity Of Use On Desert Vegetation, C. Wayne Cook

UAES Bulletins

Desert ranges of the Great Basin area support about 9 million cattle and sheep for 5 to 6 months each winter. Many of these same ranges are used by cattle year-long.

If forage is not available on desert ranges, livestock have to be wintered on farmsteads or in feedlots after they are forced from the mountains and foothills by snow. Since feeding during the winter is expensive and reduces the economic efficiency of the range livestock operation, there is real advantage in properly managing the desert ranges and conserving the supply of forage for winter grazing.

Managing desert ranges for …

Sampling Small Mammal Population In Curlew Valley Methodological Study, David F. Balph

Progress reports

No abstract provided.

Productivity And Water Stress In Cacti Progress Report, Duncan T. Patten

Progress reports

No abstract provided.

Validation Studies At Tucson, Arizona, David Hendricks, A. Neil Macgregor, E. Lendell Cockrum, Et Al

Progress reports

No abstract provided.

Development Of A Technique For Measuring The Water Balance Of Validation Study Areas Methodological Study, John Thames, H. Qashu, C. Kiesel

Progress reports

No abstract provided.

Validation Studies At Deep Creek, Curlew Valley Validation Study, G. W. Minshall, F. L. Rose, D. A. Andrews, D. M. Shaw

Progress reports

No abstract provided.

Role Of Algae In Crust Formation In Desert Soils Process Studies, Raymond I. Lynn, Roy E. Cameron

Progress reports

No abstract provided.

Yield And Composition Of Utah's Range Sites, Lamar R. Mason

Elusive Documents

No abstract provided.

Models Of Ingestion Rates For Desert Biome Rodents Process Study, Donald R. Johnson

Progress reports

No abstract provided.

Properties Of The Interstitial In The Diamond-Type Lattice, G D. Watkins, R P. Messmer, C Weigel, David Peak, J W. Corbett

All Physics Faculty Publications

Linear combination of atomic orbital—molecular orbital cluster calculations using extended Hückel theory suggest that the interstitial carbon atom in diamond prefers an "interstitialcy" configuration. The predicted minimum-energy configuration changes with charge state, providing a possible example of the Bourgoin mechanism for "athermal" migration of the interstitial in the presence of ionizing radiation.

Validation Studies At Locomotive Springs, Curlew Valley Validation Study, J. Anne Holman

Progress reports

No abstract provided.

Aphids Of Curlew Valley, George F. Knowlton

Memorandum

No abstract provided.

Correspondence On Home Range Determination For Small Mammals, F.B. Turner, R.D. Anderson, D.F. Balph

Memorandum

No abstract provided.

The Jornada Validation Site (Playa- Nmsu Ranch) Validation Study, Walter G. Whitford, John Ludwig

Progress reports

No abstract provided.

Growth And Development Of Sitanion Hystrix Process Study, M. Hironaka, E. W. Tisdale

Progress reports

No abstract provided.

Evaluation Of Techniques For Estimating Population Sizes In Desert Rodents Methodological Study, C. D. Jorgensen, H. D. Smith, D. T. Scott, H. D. Tolley

Progress reports

No abstract provided.

Development Of Techniques For Estimating Biomass Of Desert Inhabiting Invertebrate Animals Methodological Study, Gordon L. Bender

Progress reports

No abstract provided.

Diets, Food Preferences And Reproductive Cycles Of Some Desert Mammals Process Study, Russell P. Balda, Gary C. Bateman, Terry A. Vaughan

Progress reports

No abstract provided.

Autecological Studies Of Atriplex Confertifolia And Eurotia Lanata Process Study, Martyn M. Caldwell, Neil E. West, Peter J. Goodman

Progress reports

No abstract provided.

Soil Model -- Heat, Water, And Salt Flow, R. J. Hanks, D. D. Austin, W. T. Ondrechen

Progress reports

No abstract provided.

Ecosym-Climatic Classification, Stephen W. Zsiray Jr., Gene L. Wooldridge

Progress reports

No abstract provided.

Data Bank And Data Processing, Us/Ibp Analysis Of Ecosystems Desert Biome

Progress reports

No abstract provided.

Further Studies Of The Optimum Operation Of Desalting Plants As A Supplemental Source Of Firm Yield, Calvin G. Clyde, Wesley H. Blood

Reports

The Operating Rule Program was developed in an earlier study to furnish a means to determine optimum desalting plant size, optimal operating rule, and costs of operating in conjunction with existing water supply systems, under the present study, five further objectives were accomplished: (1) The program was applied to a New York City water supply system feasibility study in connection with a dual purpose nuclear power plant to develop costs for adding firm yield to the New York City water supply system in conjunctive operation with the desalting plant. (2) The program was modified to enable assessment of stage construction …

Hydrologic Inventory Of The Great Salt Lake Desert Area, Gary L. Foote, Robert W. Hill, Daniel H. Hoggan

Reports

The Great Salt Lake Desert, located in the southwest corner of the State of Utah"is a very dry region with sparse population and relatively small scattered areas of development. Since only a meager amount of hydrologic data has been collected and compiled for this relatively undeveloped area, the inventory presented herein is but a general appraisal of hydrologic conditions. Because of the small amount of development that has taken place and the general lack of hydrologic data, a water budget analysis is included for the Tooele Valley only.

Hybrid Computer Simulation Of The Accumulation And Melt Processes In A Snowpack, Keith O. Eggleston, Eugene K. Israelsen, J. Paul Riley

Reports

This study represents the first phase of an investigation to develop an operational simulation model of the point snowmelt process based on a time increment of one day or less. Mathematical relationships for various phenomena involved in the snowmelt process were proposed and tested. These relationships were combined into a model which is applicable to any geographic locations by determining appropriate constants for certain relationships. The model was synthesized on a hybrid computer and calibrated using field data from the Central Sierra Snow Laboratory. It was then tested with data from other well instrumented locations. Sensitivity tests were also conducted …

The Behavior Of Pvc Pipe Under The Action Of Water Hammer Pressure Waves, Gary Z. Watters

Reports

Introduction: Hydraulic transients, commonly referred to as water hammer, occur in a hydraulic system whenver the velocity of flow in any one of the pipes in the system is caused to change. The magnitude of the pressure waves generated by a given change in velocity depends on the geometry of the pipe system, the magnitude of the velocity change and the elastic wave velocity in the system componenets. In turn, the elastic wave velocity depends on the modulus of elasticity of the fluid and the pipe material, the size and thickness of the pipe, the method by which the pipe …

Finite Difference Solutions Of Axisymmetric Infiltration Through Partially Saturated Porous Media, Chi-Yuan Wei, Roland W. Jeppson

Reports

Solutions are obtained to the problem of steady-state partially saturated infiltration of moisture applied over a horizontal source circle which moved through homogeneous soils toward a water table. A commonly accepted relationship between relative permeability and capillary pressure has been utilized in conjunction wit Darcy’s law to formulate the mathematical model. The solutions have utilized an inverse formulation and have been obtained by finite difference. The inverse formulation considers the magnitudes of the cylindrical coordinates r and z as the dependent variables and the potential function and the Stokes’ stream function as the independent variables (i.e the problem is solved …

A Computer Model Of The Quantity And Chemical Quality Of Return Flow, Jimmie L. Thomas, J. Paul Riley, Eugene K. Israelsen

Reports

A hybrid computer program is developed to predict the water and salt outflow from a river basin in which irrigation is the major water user. A chemical model which predicts the quality of water percolated through a soil profile is combined with a general hydrologic model into form the system simulation model. The chemical model considers the reactions that occur in the soil, including the exchange of calcium, magnesium, and sodium cations on the soil complex, and the dissolution and precipitation of gypsum and lime. The chemical composition of the outflow is a function of these chemical processes within the …

The Effect Of Carbon On Algal Growth--Its Relationship To Eutrophication, Joel C. Goldman, Donald B. Porcella, Joe E. Middlebrooks, Daniel F. Toerien

Reports

Introduction: Natural and cultural eutrophication (enrichment with nutrients) frequnetly results in excessive algal growths thereby reducing the beneficial uses of surface waters (Hasler, 1947; Thomas, 1955, Edmondson et al., 1956, Oswald and Golueke, 1966, Skulberg, 1967, Mackenthun et al., 1968, Goldman and Armstrong, 1969, McGauhey et al., 1968,1969, 1970a, 1970b). Recent reviews emphsize that the prevention of further reduction in the quality of water resources requires the implementation of effective control measures (Goldman, 1965, Steward and Rohlich, 1967, Middlebrooks et al., 1969, Rohlich, 1969). Effective control of cultural eutrophication must involve the manipulation of those factors which affect algal growth, …