Physical Sciences and Mathematics Commons^™

On The Summability Of A Certain Class Of Series Of Jacobi Polynomials, A. P. Cowgill

Department of Mathematics: Faculty Publications

The result obtained in this paper is as follows:
The series Σnⁱ[((p + 1)(p +3)…(p +2n -1)) ÷(2ⁿn!) X^((p-1)/2)_n (x), where X_n^(p-1)/2(x) (hereafter indicated simply by X_n) is a symmetric Jacobi polynomial p >-1, and i a positive integer, is summable (C, k),k>i—1/2, for the range -1 <x<1.

Test 236: John Deere D, Nebraska Tractor Test Lab

Nebraska Tractor Tests

EXPLANATION OF TEST REPORT: John Deere D

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 …

Test 232: John Deere B, Nebraska Tractor Test Lab

Nebraska Tractor Tests

EXPLANATION OF TEST REPORT: John Deere B

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 …

Test 241: Caterpiller Model 50 (Diesel), 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 233: Twin City M-M Model "Jt", 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 234: Planet Junior Garden Tractor, 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 235: Cletrac Model 40 (Diesel), 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 237: Allis-Chalmers Model U, 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 238: Allis-Chalmers Model Uc, 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 239: Allis-Chalmers Model M, 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 240: Caterpiller Model 50 (Diesel), 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 243: Caterpiller Model 40 (Diesel), 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 242: Caterpiller Model 40 (Diesel), 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 244: Caterpiller Model 40, 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 246: Mccormick-Deering Model Wd-40, 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 245: Caterpiller Model 40, 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 247: Twin City M-M Model Kta, 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 248: Twin City M-M Model Mta, 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 …

A New Fossil Peccary, Prosthennops Niobrarensis, From Brown County, Nebraska, Edwin H. Colbert

Bulletin of the University of Nebraska State Museum

During the summer of 1929, the writer, accompanied by Mr. Paul O. McGrew of the University of Nebraska, discovered during the course of excavations for fossil vertebrates in northern Brown County, Nebraska, a fairly complete peccary skull referable to the genus Prosthennops. This skull, due to its several unusual characters, as well as to its fair degree of completeness, would seem to warrant a special and a rather detailed description. Consequently the specimen has been kindly turned over to me by Dr. E. H. Barbour, Director of the Nebraska State Museum, not only for the purpose of the present …

The Pleistocene Geology Of Nebraska, A. L. Lugn

Conservation and Survey Division

No abstract provided.

Nebraska Soils Grouped According To General Productivity And Use Capabilities

Conservation and Survey Division

No abstract provided.

Geologic Cross-Section, Forest City, Missouri To Du Bois, Nebraska, G. E. Condra

Conservation and Survey Division

No abstract provided.

Groundwater Level Survey In Nebraska, Herbert A. Waite

Conservation and Survey Division

No abstract provided.

The Thiem Method For Determining Permeability Of Water-Bearing Materials, L. K. Wenzel

Conservation and Survey Division

No abstract provided.

Permo-Pennsylvanian Section Of The Hartville Area Of Wyoming (With Implications For Nebraska), G. E. Condra, E. C. Reed

Conservation and Survey Division

No abstract provided.

Pre-Pennsylvanian Stratigraphy Of Nebraska, Alvin Leonard Lugn

Department of Earth and Atmospheric Sciences: Faculty Publications

Sioux quartzite, granite, and schistose metamorphic rocks have been recognized in the pre-Cambrian. The present irregularities, the "basins and highs," on the pre- Cambrian surface are the result of erosion and a long structural history. In general succeedingly younger rocks rest unconformably by overlap against the pre-Cambrian "highs." The principal erosional and structural "highs" are: the "Nemaha mountains," the Cambridge anticline, the Chadron dome, and the Sioux Falls area. "Basins," or saddle-like depressions, occur on the pre-Cambrian surface between the "highs." The largest of these trends from southeast to northwest across the central part of Nebraska. The history of each …

The Relation Of Drouth To Water-Use In Nebraska, G. E. Condra

George E. Condra Publications

Three severe drouths have occurred in Nebraska and adjacent states within the past eighty years, and less severe ones have come at moderately regular intervals. Their influence on the agricultural development of the state is well known, but their relation to water supply in general is not so well understood. This paper is a brief review of the relation of drouth to soil moisture, surace water, and groundwater supplies.

Land-Use Problems In Nebraska, G.E. Condra

Conservation and Survey Division

No abstract provided.

A New Giant Camel, Titanotylopus Nebraskensis, Gen. Et Sp. Nov., Erwin H. Barbour, C. Bertrand Schultz

Bulletin of the University of Nebraska State Museum

The purpose of this bulletin is to figure and describe a .amel brought to light in the field season of 1933, which seems to be the giant of all camels found in the State. The specimen consists of the right ramus with the symphysial portion. The mandible is 26% inches long, or about the length of one's outstretched arm to the finger tips. This jaw is nine inches longer than that of Camelops kansanus. Such an extraordinary jaw indicates a camel nearly twice as large as Alticamelus altus. In reference to its unusual size we are proposing for it the …

A New Rhinoceros Mount, Trigonias Osborni, Erwin H. Barbour

Bulletin of the University of Nebraska State Museum

On February 9, 1934, a pair of rhinoceroses, Trigonias osborni, was installed in the Founder's Room in Morrill Hall, the Nebraska State Museum. They are figured and accorded brief consideration here in order to maintain the printed records of such acquisitions in the Nebraska State Museum. The two skeletons, carefully posed, were put in the south wall case to be associated with a pair of Diceratherium from Morrill County. and the mounted skeletons of two Brown County Te leo ceras. In this gallery two long built-in wall cases insure ample facilities for the proper installation of six rhinoceroses, for each …