Physical Sciences and Mathematics Commons^™

On Polynomial Solutions Of A Class Of Linear Differential Equations Of The Second Order, W. C. Brenke

Department of Mathematics: Faculty Publications

Certain well known polynomials have a number of common properties. They arise as coefficients of tⁿ in the expansion of a generating function ; they may be obtained by means of orthogonalization of a set of functions xⁿg(x) when the function ρ(x) = g²(x) and the interval are properly chosen ; they may be regarded as polynomials which become orthogonal when multiplied by a proper factor g(x) ; they satisfy a certain type of difference equation ; they satisfy a certain type of differential equation. The results …

Matrices Whose Characteristic Equations Are Cyclic, T. A. Pierce

Department of Mathematics: Faculty Publications

One of Sylvester's theorems f on matrices states that if the characteristic equation
(1) | M - λI| = f(λ) = 0
of a square matrix M has the roots λ₁, λ₂, … , λ_n, then the characteristic equation
(2) | φM - ρI| = = g(ρ) = 0
of any integral function of M, namely, φM, has the roots ρ_i = φ (λ_i), i = 1, 2, … , n. In this note an isomorphism is shown to exist between …

Amebelodon Sinclairi Sp Nov., Erwin H. Barbour

Bulletin of the University of Nebraska State Museum

Amebelodonts are so new and so rare that even fragmentary facts relative to the group seem worth publishing. The specimen under consideration is a mandibular tusk found on the farm of Mr. A. S. Keith, Freedom, Frontier County, Nebraska, on the Morrill Geological Expedition of 1928, and is numbered 1-17-7-28, S. and L., the collectors being Bertrand Schultz and John LeMar, both of the class of 1931, the University of Nebraska. The formation was Late Pliocene or Pleistocene.

Test 176: Oliver Hart-Parr Row Crop, Nebraska Tractor Test Lab

Nebraska Tractor Tests

No abstract provided.

Test 183: Oliver 90, Nebraska Tractor Test Lab

Nebraska Tractor Tests

No abstract provided.

Test 180: Oliver Hart-Parr 18-28, Nebraska Tractor Test Lab

Nebraska Tractor Tests

No abstract provided.

Test 175: Twin City Model Kt 11-20, Nebraska Tractor Test Lab

Nebraska Tractor Tests

All tractors tested at the Nebraska Tractor Test Laboratory were certified by their manufacturers as being stock model machines, conforming to specifications filed with the application for test. No special or high-test fuels were used except as recommended by the manufacturer as necessary.

All results within the official tractor test report were actually attained in tests and are without correction or allowances for friction, temperature, altitude, etc. The results were initially accomplished with the tractor in charge of skilled operators employed by the University.

Unless otherwise noted, each tractor was apparently in good condition at the end of the testing …

Test 179: Monarch Model 50, Nebraska Tractor Test Lab

Nebraska Tractor Tests

All tractors tested at the Nebraska Tractor Test Laboratory were certified by their manufacturers as being stock model machines, conforming to specifications filed with the application for test. No special or high-test fuels were used except as recommended by the manufacturer as necessary.

All results within the official tractor test report were actually attained in tests and are without correction or allowances for friction, temperature, altitude, etc. The results were initially accomplished with the tractor in charge of skilled operators employed by the University.

Unless otherwise noted, each tractor was apparently in good condition at the end of the testing …

Test 182: Cletrac Model 80-60, Nebraska Tractor Test Lab

Nebraska Tractor Tests

All tractors tested at the Nebraska Tractor Test Laboratory were certified by their manufacturers as being stock model machines, conforming to specifications filed with the application for test. No special or high-test fuels were used except as recommended by the manufacturer as necessary.

All results within the official tractor test report were actually attained in tests and are without correction or allowances for friction, temperature, altitude, etc. The results were initially accomplished with the tractor in charge of skilled operators employed by the University.

Unless otherwise noted, each tractor was apparently in good condition at the end of the testing …

Test 173: Fordson Model F (Kerosene), Nebraska Tractor Test Lab

Nebraska Tractor Tests

All tractors tested at the Nebraska Tractor Test Laboratory were certified by their manufacturers as being stock model machines, conforming to specifications filed with the application for test. No special or high-test fuels were used except as recommended by the manufacturer as necessary.

All results within the official tractor test report were actually attained in tests and are without correction or allowances for friction, temperature, altitude, etc. The results were initially accomplished with the tractor in charge of skilled operators employed by the University.

Unless otherwise noted, each tractor was apparently in good condition at the end of the testing …

Test 174: Fordson Model F (Gasoline), Nebraska Tractor Test Lab

Nebraska Tractor Tests

All tractors tested at the Nebraska Tractor Test Laboratory were certified by their manufacturers as being stock model machines, conforming to specifications filed with the application for test. No special or high-test fuels were used except as recommended by the manufacturer as necessary.

All results within the official tractor test report were actually attained in tests and are without correction or allowances for friction, temperature, altitude, etc. The results were initially accomplished with the tractor in charge of skilled operators employed by the University.

Unless otherwise noted, each tractor was apparently in good condition at the end of the testing …

Test 177: Massey-Harris (General Purpose), Nebraska Tractor Test Lab

Nebraska Tractor Tests

All tractors tested at the Nebraska Tractor Test Laboratory were certified by their manufacturers as being stock model machines, conforming to specifications filed with the application for test. No special or high-test fuels were used except as recommended by the manufacturer as necessary.

All results within the official tractor test report were actually attained in tests and are without correction or allowances for friction, temperature, altitude, etc. The results were initially accomplished with the tractor in charge of skilled operators employed by the University.

Unless otherwise noted, each tractor was apparently in good condition at the end of the testing …

Test 184: Eagle Model 6a, Nebraska Tractor Test Lab

Nebraska Tractor Tests

All tractors tested at the Nebraska Tractor Test Laboratory were certified by their manufacturers as being stock model machines, conforming to specifications filed with the application for test. No special or high-test fuels were used except as recommended by the manufacturer as necessary.

All results within the official tractor test report were actually attained in tests and are without correction or allowances for friction, temperature, altitude, etc. The results were initially accomplished with the tractor in charge of skilled operators employed by the University.

Unless otherwise noted, each tractor was apparently in good condition at the end of the testing …

Test 183: Oliver Hart-Parr ( 3-5 Plow ), Nebraska Tractor Test Lab

Nebraska Tractor Tests

All tractors tested at the Nebraska Tractor Test Laboratory were certified by their manufacturers as being stock model machines, conforming to specifications filed with the application for test. No special or high-test fuels were used except as recommended by the manufacturer as necessary.

All results within the official tractor test report were actually attained in tests and are without correction or allowances for friction, temperature, altitude, etc. The results were initially accomplished with the tractor in charge of skilled operators employed by the University.

Unless otherwise noted, each tractor was apparently in good condition at the end of the testing …

Advertising Brochure: Illinois Heavy Duty Tractor, Nebraska Tractor Test Lab

Nebraska Tractor Tests

No abstract provided.

The Mandible Of Amebelodon Fricki, Erwin H. Barbour

Bulletin of the University of Nebraska State Museum

The type specimen of the genus Amebelodon is installed in the Nebraska State Museum, the University of Nebraska, Lincoln. It consists of a mandible with tusks and teeth, all of which are dense and perfect, barring minor cracks and breaks. One toe bone and part of a rib found associated with this mandible may belong to this animal. It was discovered by Mr. A. S. Keith on his farm near Freedom, Frontier County, Nebraska; was secured for the palaeontological collections of Hon. Charles H. Morrill by Mr. Phillip Orr, April 4, 1927; was briefly described and figured in a Museum …

A Study Of The Oxidation Of D-Glucose With Air In A Saturated Solution Of Barium Hydroxide, Clyde Wilson Eddy

Open Access Master's Theses (through 2010)

The conversion of one aldose into another aldose and several ketoses slowly by weak alkalis at ordinary temperatures and quickly with much decomposition at elevated temperatures, was first observed by Lobry de Bruyn and later investigated by Nef and his students in an elaborate study on the action of strong alkalis alone and with oxidizing agents extending over a period of ten years. The results of these studies on oxidation were interpreted as depending on the presence of several intermediate enediols. The oxidation of sugars in approximately six normal alkali medium with air or oxidizing agents all give about the …

Handbook Of Nebraska Trees, A Guide To The Native And Most Important Introduced Species, Raymond J. Pool

Conservation and Survey Division

No abstract provided.

Tree Planting And Landscape Beautification In Nebraska, Condra G. E.

George E. Condra Publications

This bulletin is intended to further the planting of flowers, vines, shrubbery, and trees in Nebraska.

Tree Planting And Landscape Beautification In Nebraska, G. E. Condra

Conservation and Survey Division

No abstract provided.

Torynobelodon Loomisi, Gen Et. Sp. Nov., Erwin H. Barbour

Bulletin of the University of Nebraska State Museum

The group of proboscideans which we have called the shovel-tuskers or Amebelodonts, was announced in June, 1927,¹ following the discovery of Amebelodon fricki. In the field season of 1928, two additional species were found which are represented by mandibular tusks. One of these is a tip of a large and unique tusk, numbered 2-3-9-28, S. and L., the collectors being Bertrand Schultz and John LeMar, both of the class of 1931, the University of Nebraska. It was found within 200 to 300 yards of the spot on his farm where Mr. A. S. Keith, Freedom, Frontier County, Nebraska, found …

Symmetric Functions Of N-Ic Residues (Mod P), T. A. Pierce

Department of Mathematics: Faculty Publications

If p be an odd prime, q is said to be an n- ic residue of p if the congruence xⁿ = q (mod p) has solutions; otherwise q is an n-ic non-residue of p. A necessary and sufficient condition that q be an n-ic residue of p is that
(1) q ^{(p- 1)/δ} ≡ 1, (mod p),
where δ = g.c.d. (p - 1, n). The numberf of n-ic residues of a given prime p is (p-1)/δ.
It is with the symmetric functions of these …

"Triassic-Jurassic 'Red Beds' Of The Rocky Mountain Region": A Discussion, John B. Reeside Jr.

United States Geological Survey: Staff Publications

The conclusion drawn by Professor E. B. Branson in a recent paper on the "Red Beds" of the Rocky Mountain region that parts of these beds are marine is considered likely. The conclusion that there exists no basis for subdivision of the beds is not accepted, and a division of the Mesozoic part into Lower Triassic, Upper Triassic, and Jurassic units is advocated. The conclusion that no eolian deposits are present likewise is not accepted, and the interpretation of important parts of the Jurassic unit as eolian is advocated. Disagreement is expressed with much of Professor Branson's correlation table, and …

Thomas Chrowder Chamberlin's Contribu-Tions To Glacial Geology, William C. Alden

United States Geological Survey: Staff Publications

So prominent did Thomas Chrowder Chamberlin become in the field of glacial geology that it is a matter of some interest and importance to consider what was the status of the science at the time he turned his attention, as a student and a teacher, to it. So voluminous is the literature of this subject that it is obvious that one cannot in a sketch of this kind give even a general summary of the many books and papers on the subject published in this country, even were it desirable to do so. The intention is to indicate only what …

Test 169: Case Model Cc, Nebraska Tractor Test Lab

Nebraska Tractor Tests

EXPLANATION OF TEST REPORT: Case Model CC

TEST A: The manufacturer's representative operates the tractor for a minimum of 12 hours using light to heavy drawbar loads in each gear.

This serves as a period for limber up, general observation and adjustments. Adjustments that are permissible include valve tappet clearance, breaker ,point gap, spark plug gaps, clutch and others of a similar nature. No new parts or accessories can be installed without having mention made of it in the report. No data' are recorded during this preliminary run except the time that the engine is operated.

BELT HORSEPOWER TESTS

TEST …

Advertising Brochure: Baker 22-40, Nebraska Tractor Test Lab

Nebraska Tractor Tests

No abstract provided.

Test 156: Mccormick Deering 15-30, Nebraska Tractor Test Lab

Nebraska Tractor Tests

No abstract provided.

Test 161: Baker 43-67, Nebraska Tractor Test Lab

Nebraska Tractor Tests

No abstract provided.

Test 162: Minneapolis 27-42, Nebraska Tractor Test Lab

Nebraska Tractor Tests

All tractors tested at the Nebraska Tractor Test Laboratory were certified by their manufacturers as being stock model machines, conforming to specifications filed with the application for test. No special or high-test fuels were used except as recommended by the manufacturer as necessary.

All results within the official tractor test report were actually attained in tests and are without correction or allowances for friction, temperature, altitude, etc. The results were initially accomplished with the tractor in charge of skilled operators employed by the University.

Unless otherwise noted, each tractor was apparently in good condition at the end of the testing …

Test 156: Mccormick-Deering (Model 15-30) 22-36, Nebraska Tractor Test Lab

Nebraska Tractor Tests

All tractors tested at the Nebraska Tractor Test Laboratory were certified by their manufacturers as being stock model machines, conforming to specifications filed with the application for test. No special or high-test fuels were used except as recommended by the manufacturer as necessary.

All results within the official tractor test report were actually attained in tests and are without correction or allowances for friction, temperature, altitude, etc. The results were initially accomplished with the tractor in charge of skilled operators employed by the University.

Unless otherwise noted, each tractor was apparently in good condition at the end of the testing …