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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 …

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 …

Anhydrous Alcohol And The Vapor Phase Method Of Preparing It, Cleetis Brown

University of the Pacific Theses and Dissertations

Since the almost universal laboratory method of preparing absolute alcohol requires considerable time and trouble, gives a low yield of alcohol and leaves a distilling flask badly clogged with hydrated lime, Professor S.S, Kistler and I undertook the following research in the hope that we might devise a new method that would be both rapid and easy to perform.

Upon reviewing the possibilities, it seemed evident that any method to be rapid would have to involve drying In the vapor phase. Diffusion in a liquid being so slow that when a drying agent is placed in the liquid phase an …

The Monadnock Volume 3, Number 1, December 1928, Clark University Geographical Society

The Monadnock (Clark Geographical Society)

Volume 3, Issue 1 of The Monadnock. The Monadnock was the alumni magazine of the Clark University Geographical Society (1927-1985) (2014-present).

Theories Of Color And Color Vision, M. Regina Wallesch

Bachelors’ Theses

Theories of color have occupied the human mind since an early date even to the present. According to Professor Frank Allen there are from sixty to seventy different theories. Plato considered color to be due to flame-like particles projected from the pores of matter into the eye. Aristotle thought colors arose from various combinations of white and black.

Geological Report Of Summer Field Trip 1928, Clarence A. Corry, Marcus Mccanna

Bachelors Theses and Reports, 1928 - 1970

The object of this trip and report was to familiarize the students of the Montana State School of Mines with methods of taking and mapping surface and undergound geology. All surface geology was mapped by means of plane table and alidade, and undergound work by means of Brunton compass and taps.

The senior class of the Montana State School of MInes under the supervision of Dr. E.S. Perry performed the work, which covered an area in Madison County including South Boulder Creek, near Jefferson Island, the Silver Star Mining District, and the Alameda Mine, near Virginia City.

The Monadnock Volume 2, Number 3, July 1928, Clark University Geographical Society

The Monadnock (Clark Geographical Society)

Volume 2, Issue 3 of The Monadnock. The Monadnock was the alumni magazine of the Clark University Geographical Society (1927-1985) (2014-present).

The Sensitivity Of The Ortho-Tolidine Test For Free Chlorine In Milk Serum, Estelle Downer

Bachelors’ Theses

In the Journal of Industrial and Engineering Chemistry for November, 1913, J.W. Ellms and S.J. Hauser introduced the ortho-tolidine test for the detection of minute quantities of free chlorine in water. Antecedant to the experimentation of the above men with ortho-tolidine, the starch-iodide test ·was universally used for the· detection of free chlorine. In this test, the chlorine is calculated by liberating iodine from potassium iodide by the available chlorine, and the iodine being titrated with sodium thio sulfate. starch solution is used as the indicator. However, this particular method offers difficulties in the presence of minute quantities of chlorine …

A Study Of The Electric Current Rectifying Properties Of Metallic Salts In Contact With Metals, Simon Sander Share

Bachelors’ Theses

The property of offering greater electrical resistance to a current when flowing in one direction than when flowing in the opposite direction possessed by some metallic salts in contact under pressure with certain metals is of interest both from a purely scientific viewpoint and from a commercial viewpoint. The phenomenon is of interest to the scientist because it has not yet been properly explained and because a suitable explanation might lead to a better understanding of what actually occurs at the contact surfaces of a metal and a salt and also of the condition of metallic surfaces. The property has …

Graphical Calculation And Computation, Alice Hudson Vallier

Bachelors’ Theses

The word ’’graph” has lately become a part of the active vocabulary of the ordinarily educated person of today. We may say lately because even fifty years ago the use of the graph to represent data was limited to the knowledge of a few theorizing mathematicians and the miscellaneous disorganized usage of some practical mechanics, engineers, business men and statisticians. The situation is not that fifty years ago the rudiments of graphing were not identical with the bases of graphing data today, at least by such simple methods as are commonly employed in periodicals and newspapers for the enlightenment of …

A Study Of The Temperature Behavior Of Various Liquids When Subjected To Pressures Ranging Between One And One Hundred Pounds Absolute, Jerome John Van De Kamp

Bachelors’ Theses

This thesis is submitted as a partial requirement for the degree of bachelor of science. The problem is one which dates back as far as the science which claims its authorship. It is a problem of which very little is known and one is justified in calling this old problem a youthful one, youthful, of course, in the sense that it is immature and as yet undeveloped. The problem by the very fact that it is in its infancy makes it one of Infinite length. It is a problem which has no greater practical application. Its ultimate value extends into …

Solubility Of Different Waxes In Various Solvents, Sol Leslie Spracker

Bachelors’ Theses

The waxes are esters formed by the union of fatty acids and alcohols not belonging to the glycerol series. Hence waxes are sharply distinguished from fats in that they contain no glycerol; they have howe er, many properties in common with true glycerides (fats); thus they can be saponified with alkalies, the salts of fatty acids and alcohols being obtained.

The Theory Of Limits, Molly E. Davis

Bachelors’ Theses

The theory of limits is among the most important theories in mathematics as mensuration of curves, and surfaces, the treatment of series and the foundation of calculus rest upon this theory.

The Aurora Borealis, Magdalen Kramschuster

Bachelors’ Theses

The Indians wondered if their beloved aurora would return. They watched and philosophized about the dawn, the twilight, the stars and all the phenomena of the heavens. They pondered the mysteries of lightening and thunder. Peoples down through the ages have written poetry about the mighty thunderhead and the lacy cirrus clouds. One by one these mysteries have been solved, but one still remains--the Aurora Polaris. Advances have been made in scientific fields so that we no longer worry whether or not the next day will come. Thunder, to us, is not the voice of an angry god. Rapid strides …

The Study Of The Curves Of Equations Having The Type Form Of Y=XN, Frank Kohn

Bachelors’ Theses

The purpose of this thesis is to investigate those properties of curves having the general type form of y = xⁿ that will enable us to determine the graph of a particular curve of this type. The investigations will not only determine the graph as it appears in the finite region of the curve but its appearance in infinite regions as well.

The Devonian Of The Bear River Range, Utah, I. Lavell Cooley

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The geological column in northern Utah has had very little detailed study. Those who have made reports on this section have done so only in a very general way, making no detailed sections of any part of the column, excepting that of the Cambrian made by Walcott.¹ Other work has been done by Mansfield² in southeastern Idaho and a general section of the Devonian made in Green Canyon, Bear River Range, Utah by Kindle.³

Due to the lack of any detailed work of this nature being done in the Bear River Range, suggested the matter of making …

Applications Of Infinite Products, Lillian Schnell

Bachelors’ Theses

Jacob Nicolaus Bernoulli (1654-1705) wrote a work on "Ars Conjectandi." It was published eight years after his death. The work consists of four parts. The second part is on permutations and combinations, which Bernoulli used in a proof of the binomial theorem for the case of positive integral exponents. The book contains a formula for the sum of the rth powers of the first n integers. This involves the famous Bernouillian numbers. Bernouilli boasted that by means of his formula he could calculate "Intra semi-quadrantem Horae" the sum of the 10th power: the first thousand integers.

The Monadnock Volume 2, Number 2, March 1928, Clark University Geographical Society

The Monadnock (Clark Geographical Society)

Volume 2, Issue 2 of The Monadnock. The Monadnock was the alumni magazine of the Clark University Geographical Society (1927-1985) (2014-present).

Tree Planting In Nebraska

Conservation and Survey Division: Faculty and Staff Publications

Introduction. This bulletin is planned to further the planting of trees and ornamental shrubbery in Nebraska. It is the result of cooperation between State, Federal, and University departments, and many State organizations.

The tree-planting campaign of this year (1928) is to begin early in the season and culminate in the American Forest Week (last week in April). It is a State and National movement, a welfare project worthy of the support of every citizen. The cooperation of all Nebraskans is invited.

Balanced Needle Valves For Echo, Gibson, And Coolidge Dams, U.S. Department Of The Interior, Bureau Of Reclamation

All U.S. Government Documents (Utah Regional Depository)

Invitations for bids, schedule specifications, and drawings for balanced needle valves for Echo, Gibson, and Coolidge Dams.

The Sunspot V.14 1928-1929, J. S. Ricard

The Sunspot

No abstract provided.

Test 149: Cletrac Model 40 40-55, 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 152: Twin City Model Ft 21-32, 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 148: Lauson S12 20-35, 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 154: Rumely Do-All, Nebraska Tractor Test Lab

Nebraska Tractor Tests

No abstract provided.

Test 154: Advance-Rumely "Do All", 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 153: John Deere "General Purpose" 10-20, 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 150: Caterpiller Model 20 20-25, 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 153: John Deere Gp 10-20, Nebraska Tractor Test Lab

Nebraska Tractor Tests

EXPLANATION OF TEST REPORT: John Deere GP 10-20

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 …

Advertising Brochure: The Great Minneapolis Line, Nebraska Tractor Test Lab

Nebraska Tractor Tests

No abstract provided.