Physical Sciences and Mathematics Commons^™

A Theorem On The Unit Groups Of Simple Algebras, Ralph Hull

Department of Mathematics: Faculty Publications

Let k be an algebraic number field of finite degree m and let A be a normal simple algebra of degree n, order n², over k. Our object is to prove the following theorem.
THEOREM. If A is an R-algebra, that is, if n>2 or at least one infinite prime place of k is unramified in A when n=2, then any two distinct maximal orders of A have distinct groups of units.

On Certain Arithmetical Functions Due To G. Humbert, M. A. Basoco

Department of Mathematics: Faculty Publications

G. Humbert has discussed, in a series of brief notes, a certain class of entire functions with interesting arithmetical properties. These functions are defined, in an essentially unique manner, by certain functional equations. The Fourier series representations of the solutions of these equations are similar in form to those for the elliptic functions snu, cnu, dnu, and so on. They differ from these, however, in that their domain of validity extends throughout the entire complex plane (Z_∞ excluded) and moreover, in that their arithmetized forms involve incomplete numerical functions of the divisors of an integer.
In the …

Censusing Pheasants By Detonations, H. Elliot Mcclure

Nebraska Game and Parks Commission: Staff Research Publications

A study of the ecology and management of the ring-necked pheasant (Phasianus c. torquatus) was begun in Nebraska in the spring of 1941. Prime among the objectives of the survey was to devise some method by which the populations could be estimated or counted. In conjunction with roadside counts as practiced in Minnesota, Iowa, Ohio, Pennsylvania and other states, attempts were made to derive a closer estimate than by that method. Every game technician working with roadside counts of pheasants realizes the difficulties involved. Having had success in estimating the numbers of mourning doves by counting their calls …

Ground Water In The Republican River Basin In Nebraska- Part 1: Nuckolls, Webster, Franklin And Harlan Counties, H.A. Waite, E.C. Reed, D.S. Jones Jr.

Conservation and Survey Division

No abstract provided.

Ground Water In The Republican River Basin- Part Ii: Furnas County, H.A. Waite, E.C. Reed, D.S. Jones Jr.

Conservation and Survey Division

No abstract provided.

Protein Content Of Grasses At Different Stages Of Growth, G.F. Gastler, A.L. Moxon

Agricultural Experiment Station Chemistry Pamphlets (1943-1944)

The two attached tables indicate the changes in protein content of Western Wheat grass and Blue Green grass at different stages of growth. The values are based on an air dry basis which would be comparable with the moisture content of dry hay. The values, therefore, indicate the approximate protein content of hay made from these grasses if cut at the stages indicated in the tables.

Laboratory Tests On Gravelly Material For Use In The Pervious Zones Of Newton Dam, Newton Project, Utah, W.G. Holtz

Elusive Documents

A compaction test was performed on the soil (-1/2") material, and mechanical analysis, specific gravity, and percolation-consolidation test was made in a large (19&1/2" diameter) percolator, cylinder and the material was well compacted into the cylinder. A consolidating load equivalent to a 20-foot fill was applied. Because it was believed that some of the fine sand might be transported through the gravel and rock by the percolating water, a 14-mesh screen and a 2-inch later of clear fine gravel (3/16" - 3/8") was placed over the gravelly material being tested. After the percolation-consolidation test was completed, the screen and fine …

Wind Appendix (1943), Walter A. Lawrance

Walter Lawrance Papers

No abstract provided.

Press Reports (1943), Walter A. Lawrance

Walter Lawrance Papers

No abstract provided.

Odor Report (1943), Walter A. Lawrance

Walter Lawrance Papers

No abstract provided.

Nitrate Production As Affected By Grain-Crop Residues On The Surface Of The Soil, T. M. Mccalla, J. C. Russel

Nebraska Agricultural Experiment Station: Historical Research Bulletins

The purpose of this bulletin is to present the data on nitrate contents and nitrate production in tests where straw or stalk residues were left on the surface through subsurface tillage, as compared with check treatments where these residues were plowed under or were absent. Nine of these tests were at Lincoln, Nebraska, and one was at the Hastings, Nebraska, Hydrological Project. Two tests were conducted in 1939, four in 1941, and four in 1942.

X-Ray Inspection Of Castings (Army Air Forces' Requirements), Robert Katz

Robert Katz Publications

The author contributed a brief account of the radiographic practices necessary to comply with government specifications to a round table discussion on inspection methods at the last American Society for Metals Convention, and later was able to release for publication in Metal Progress a full set of the radiographic standards set up about a year ago to govern acceptance of structural castings for airplanes. Representaive negatives are reproduced in this article. Those eliminated are either of similar defects which did not register strong enough to appear on an engraving without retouching, or of defects readily observed by visual inspection without …

White Pine Blister Rust In Western North America, J. L. Mielke

Yale School of the Environment Bulletin Series

No abstract provided.

Establishment, Development, And Management Of Conifer Plantations In The Eli Whitney Forest, New Haven, Connecticut, Ralph C. Hawley, Harold J. Lutz

Yale School of the Environment Bulletin Series

No abstract provided.

On The Fourier Developments Of A Certain Class Of Theta Quotients, M. A. Basoco

Department of Mathematics: Faculty Publications

In this paper we shall be concerned with the functions φ^k_a(z) defined by the relation
(1) φ^k_a(z) ≡{d/(dz)logℓ_α (z,q)}^k = {[ℓά(z,q)] ÷ [ℓα(z,q)]^k, α + 0, 1, 2, 3,
where ℓ_α(z, q) is a Jacobi theta function and k is a positive integer. In the first place, we shall derive the Fourier developments which represent these functions in a certain strip of the complex plane; it …

Pheasant Weights And Time Of Season In Relation To Meat Production In Nebraska, Levi L. Mohler

Nebraska Game and Parks Commission: Staff Research Publications

During the 1942 pheasant hunting season in Nebraska 479 bagged cock pheasants were weighed in western and southwestern counties. Analysis of the weights revealed that the time of the open season apparently has a material effect upon the tonnage of meat harvested for human consumption.

Missourian Triticites Of The Northern Mid-Continent, Benjamin H. Burma

Department of Earth and Atmospheric Sciences: Faculty Publications

The tendency toward fine discrimination in fusulinid species has made necessary standardization in their study. Theories and practices of fusulinid study are herein discussed in some detail. Four new species of Triticites are described from the Missouri series of the Pennsylvanian system; one species from the Virgil series and two froim the Missouri are redescribed, and the characters of the other five known Missourian species from the northern mid-Continent are shown in graphs, thus bringing together the known Missourian species. Finally consideration is given to the ontogeny and phylogeny of the group.

Vegetation Of The Northern Part Of Cherry County, Nebraska, William L. Tolstead

Conservation and Survey Division

Agricultural practices in the Great Plains of North America are now in a period of adjustment from a traditional agriculture initiated by pioneer farmers to a grazing economy based upon potentialities of climate and soil. The attainment of a proper system of land use has been retarded in many localities by the lack of definite information concerning the vegetation and its indicator significance. In this study of the vegetation of Cherry County, Nebraska, the interrelations between the plants and their environments are discussed, the dominant species are described, and changes in grasslands caused by seasons, grazing, and climatic cycles are …

Physical And Chemical Properties Of Soil Profiles Of The Scott, Fillmore, Butler, Crete, And Hastings Series, Henry W. Smith, H. F. Rhoades

Nebraska Agricultural Experiment Station: Historical Research Bulletins

For the studies reported here most of the samples were taken in the spring of 1940 from the walls of deep pits dug in areas previously selected by surveyors and inspectors as type locations for the Butler series. To elucidate certain points, samples were taken from the upper part of several other profiles, also called Butler, the following year. In addition to this work on the characterization of the Butler series, further data have been collected concerning soils of the Scott, Fillmore, Crete, and Hastings series. Profile samples were obtained from type locations of each of these series. The data …

Parabos Dodsoni Barbour And Schultz: A Correction, Erwin Hinckley Barbour, C. Bertrand Schultz

Department of Earth and Atmospheric Sciences: Faculty Publications

A Bos-like animal, Parabos dodsoni, was recently described by Barbour and Schultz (1941, "A New Fossil Bovid from Nebraska", Bull. Univ. Nebr. State Museum, Vol. II, No. 7, pp. 63-66, Figs. 24-27, December) as a new genus and species from the Pleistocene of Nebraska. Attention has been called to the writers by Dr. E. H. Colbert of the American Museum of Natural History that the name Parabos is preoccupied. Parabos was introduced as a generic name by C. Arambourg and J. Piveteau (1929, "Note preliminaire sur un Ruminant du Pliocene inferieur du Roussillon," C. R. Bull. Soc. Geol. de …

Range Sheep Industry In Kittitas County, Washington, Reginald M. Shaw

Geography Faculty Scholarship

This article summarizes the sheep industry in Kittitas County, Washington State as a microcosm of the entire Pacific Northwest sheep industry.

A Review Of The Daimonelix Problem, C. Bertrand Schultz

University Studies (University of Nebraska): Papers

THE first paleontological expedition of the University of Nebraska State Museum was organized in the summer of 1891 and was led by Erwin H. Barbour, now Director Emeritus of the Museum. The most important and interesting discoveries made during the season were some very peculiar spiral fossils called by the field party "Devil's Corkscrews," or Daimonelix,l which were found in the Miocene deposits near Harrison in Sioux County, Nebraska. During the fifty years that have intervened scientists have tried to determine the origin of these strange forms. Several controversies arose, and although various theories have been proposed, none as yet …

Thickness And Structural Study Of Major Divisions Of Cretaceous System In Nebraska, Paul Fuenning

Department of Earth and Atmospheric Sciences: Faculty Publications

The purpose of this paper is to present isopach maps of certain stratigraphic divisions of the Cretaceous system and structure-contour maps of certain horizons of that system in Nebraska. Tables of factual data also are included. The maps indicate clearly that certain structural "highs" such as the Chadron-Cambridge axis and the Sioux Falls "high," in conjunction with a large well defined basin across central Nebraska and another deep basin west of the Chadron-Cambridge axis, dominated the structural and depositional history of Nebraska during the Cretaceous period.

Decay Of Western Hemlock In Western Oregon And Washington, G. H. Englerth

Yale School of the Environment Bulletin Series

No abstract provided.

Yield Of Even-Aged Stands Of Loblolly Pine In Northern Louisiana, Walter H. Meyer

Yale School of the Environment Bulletin Series

No abstract provided.

Growing Of White Pine On The Yale Forest Near Keene, New Hampshire, Ralph C. Hawley, Robert T. Clapp

Yale School of the Environment Bulletin Series

No abstract provided.

Management Of Loblolly Pine In The Pine-Hardwood Region In Arkansas And In Louisiana West Of The Mississippi River, Herman H. Chapman

Yale School of the Environment Bulletin Series

No abstract provided.

The Basic Analogue Of Kummer’S Theorem, J. A. Daum

Department of Mathematics: Faculty Publications

About one hundred years ago, E. E. Kummer proved the formula
(1) ₂F₁ [_{1 + a – b} ^{a, b; -1}] = [Γ(1 + a - b)Γ(1 + a/2) ÷ Γ(1+a)Γ(1+a/2 - b)
which has since been known as Kummer's theorem. This appears to be the simplest relation involving a hypergeometric function with argument ( - 1).
All the relations in the theory of hypergeometric series _rF₈ which have analogues in the theory of basic serie3 are those in which the argument is ( + 1 ) …

The Origin Of Daemonelix, Alvin Leonard Lugn

Department of Earth and Atmospheric Sciences: Faculty Publications

Attention is called to the controversy of some years ago over the origin of the "Devil's Corkscrews." The problem may have appeared unimportant then, but now a correct understanding of the paleoecology of Harrison time may hinge on the explanation of these strange "fossils." The characteristics of Daemonelix are briefly reviewed, they are compared to the lianas of the modern tropical jungle, and the postulated conditions of Harrison sedimentation are believed to supply an adequate explanation for the presence of fossil rodent remains in the Daemonelices. The possibility of a vegetal origin of these fossils is believed to be demonstrated.

Will Russia Win The War?, Alvin Leonard Lugn

Department of Earth and Atmospheric Sciences: Faculty Publications

As this is written, Russia is not in the war; nevertheless, she may eventually win the war. It may not be immediately, it may not be for a generation, it may not be for fifty or more years, and it may be very soon. The "War" may not even be the present holocaust which engulfs Europe; but eventually Russia may win, even though new battles may be won and lost and perhaps much more blood spilled in the meantime; even a German victory may intervene with far-flung domina- tion in all of the continents.

Russia possesses unmeasured elements of strength …