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On Certain Basic Series, John Daum

Department of Mathematics: Faculty Publications

The identity
(1) Σ_n=1^∞ (qⁿ)/[(1-qⁿ)²] {(1÷(1-q)) + (1÷(1-q²)) + … + (1 ÷ (1 -qⁿ))} = Σ_n=1^∞ [(n²qⁿ)
was deduced from arithmetical considerations by E. T. Bell. About five years ago, W. N. Bailey proved the relation
(2) Σ_n=0^∞ [(1-q)(1-q²)…(1-qⁿ] ÷ [(1-z)(1-qz)…(1-qⁿz)] x [(zⁿ + 1) ÷ (1 - q^{n …}

The Monadnock Volume 15, Number 1, December 1940, Clark University Geographical Society

The Monadnock (Clark Geographical Society)

Volume 15, Issue 1 of The Monadnock. The Monadnock was the alumni magazine of the Clark University Geographical Society (1927-1985) (2014-present).

The Direct Chlorination Of Benzene And The Preparation Of Alpha And Beta Benzene Hexachlorides, Hubert B. Meloche

Bachelors’ Theses

This research was undertaken in order to study the breaking of the double bonds in a benzene ring by some means other than direct hydrogenation. A study of the literature reveals that the benzene ring has been broken up by chlorination giving hexachlorides of benzene as products of the reaction. But no information regarding the hexachlorides themselves or their method of preparation could be found in the current literature.

The Effect Of Catalyst And Time Upon The Oxidation Of Cotton Seed Oil Air Blown At 115 Degrees C, Joseph Toth

Bachelors’ Theses

Of late years, the manufacture of oils oxidized by the direct action of air upon them, has greatly increased. ’’Blown oils”, as these are called, render non-drying or semi-drying oils (rape, cotton seed, etc.) more suitable for paint, either directly or as ingredients in paint mixtures. In the case of drying oils (linseed oil, etc.), oxidation changes necessary to produce more rapid absorption of oxygen from the air by the oil, is brought about more rapidly.

This experimentation was suggested by the work of A. Ivanova, who blew air through cotton seed oil at 115°C until required drying properties were …

A Study Of The Electrodeposition Of Chromium Directly On Aluminum, Paul E. Truttschel

Bachelors’ Theses

The electrolytic deposition of chromium has been an accomplished fact since the early 1920's. Considerable investigation had taken place before this, but it was not until 1920 that any process had been devised to make chromium plating successful commercially. Since then, and especially in the last ten years, this has been a favorite research problem amony[sic] many electrochemists and the results have been most gratifying.

By far the greatest amount of work has been done, however, using metals such as copper, steel, and brass for cathodes, very little information being obtainable concerning the chromium plating of aluminum. Most of the …

An Algebraic Treatment Of Diophantine Analysis, Anthony Andrew Aucoin

LSU Historical Dissertations and Theses

Diophantlne analysis, while an old subject, is a collection of special problems. The methods used are very varied and those used to solve one problem will not usually solve a second one. It is possible that this condition exists because Diophantlne analysis is usually considered as number theory. While some problems are problems in number theory, a large body of material may be developed by algebraic methods. In this thesis the methods of algebra are exploited. The material of this thesis divides itself into chapters naturally, according to the degree of the equations. Considered in order are quadratics, cubics, quartics, …

The Investigation Of Different Variables In The Assaying Of Silver Cyanide Solution, Warren M. Mahan

Bachelors Theses and Reports, 1928 - 1970

The assaying of gold and silver cyanide solutions is by no means new. The first method of analysis which is given in the literature is an evaporation method by S. B. Christy in 1896. However, the fire assaying of gold and silver dates further back than this. There is a method of fire assaying for gold and silver given in literature as early as 1556 in Georgius, Agricola’s De Re Metallica book.

Areal Geology Of The Post-Paleozoic Surface Of The Northwest Plains, William M. Broderick

Bachelors Theses and Reports, 1928 - 1970

Probably most of the area included in this report has been ex­amined to some extent by oil geologists, and most, if not all, of the important domes have been discovered and surveyed thoroughly. In parts of the area, the bedrock is covered by glacial drift or alluvium materi­al, but it is reasonable to believe that no new domal structure will be found. This means that surface examination alone will be insufficient in locating new oil fields, so future prospecting will be dependent, to a great extent, on studies of sub-surface stratigraphy.

The Testing And Concentration Of A Low Grade Copper-Nickel Ore., Laurence T. Eck

Bachelors Theses and Reports, 1928 - 1970

The purpose of this thesis is to investigate the possi­bility of concentrating a low grade copper-nickel ore, to determine the most effective method of concentration, and to attempt to draw some conclusions to determine whether or not the concentrates produced would be of sufficient high grade to make the recovery of nickel and copper a profit­able enterprise.

The Monadnock Volume 14, Number 2, May 1940, Clark University Geographical Society

The Monadnock (Clark Geographical Society)

Volume 14, Issue 2 of The Monadnock. The Monadnock was the alumni magazine of the Clark University Geographical Society (1927-1985) (2014-present).

The Effect Of Time, Temperature, And Pressure On The Hydrogenation Of Castor Oil, Anthony Toth

Bachelors’ Theses

The intention of the author in doing this research was to obtain some data on the effect of time, temperature, and pressure on the hydrogenation of castor oil at 100°C. The author is also interested to see if a method could be devised by which the saturated and unsaturated fatty acids could be separated from the hydroxy acids of hydrogenated castor oil.

The Effect Of Alcohols On Paramecia, William C. Lawler

Bachelors’ Theses

A phenomenon of surpassing biological interest is the adjustment of living substance to its surroundings. That living things should so act as to promote their own welfare is indeed wonderful; that such acts are common is evident on every hand.

A Comparison Between Saponification And Iodine Values And Melting Point Curves For Mixtures Of Various Natural Waxes And Halowax 1012, William Kenneth Watts

Bachelors’ Theses

This thesis 1s concerned with the nature of the action of the lowering of the melting point of the various natural waxes by the addition of Halowax. The problem was suggested by the work of Louis Kroening in his thesis, "The Effect of Halowax 1012, 1013, and 1014 on the Melting Points of the Various Waxes", and also by that of Joseph M. Sevenich in his thesis, "An Investigation of Halowaxes in Trinary Wax Mixtures". The former showed conclusively that the presence of Halowax in a wax mixture invariably lowered the melting point of the natural wax. The latter showed …

The Preparation Of Methyl, Ethyl, And Borneol Glucoside, Florence Margaret Berger

Bachelors’ Theses

The present research was undertaken to find methods suitable for the preparation of methyl, ethyl, and borneol glucoside. The problem was to prepare methyl, ethyl, and borneol glucoside, and to determine their con­stants in regard to the melting point and optical rotation. These results were then compared to the results obtained by Emil Fischer and J. Hamalaienen.

Spectroscopic And Quantitative Determination Of Platinum, John W. Manning Iii

Chemistry Honors Papers

This 7 page thesis examines quantitative method and spectroscopic analysis of platinum.

A Study Of Fermat's Last Theorem., Jerome L. Krumpelman

Electronic Theses and Dissertations

This work is intended primarily for the student of mathematics who may not necessarily wish to delve into the complete theory of the problem. but who may wish to get a picture of the work necessary to study and understand it. For a complete history of the problem until 1919, refer to Chapter XXVI of Dickson's History of the Theory of Numbers, II, and for the work primarily connected with Irregular Cyclotomic Fields and Fermat's Last Theorem through part of 1927, refer to Algebraic Numbers, II, National Research Council Bulletin, # 62. For a Short presentation of the problem refer …

Historical Background And Settlement Of Baxter Springs, Kansas, Ruth Rodman St. Clair

Electronic Theses & Dissertations

This is a study of the historical background and the settlement of Baxter Springs, which is located in the southeastern corner of Kansas, one mile from the Oklahoma line and six miles from the Missouri line. It was one of the first settlements in Cherokee County and the first frontier town near the southern boundary line of Kansas.

The town was named tor John L. Baxter who settled upon the present town site in 1849.

During the civil war, a military post for the Union Army was maintained at Baxter Springs. The principal engagement of the war, in this section …

Front Matter

Journal of the Minnesota Academy of Science

No abstract provided.

Applications Of Artificial Radioactivity To Problems In Chemistry, D. E. Hull

Journal of the Minnesota Academy of Science

No abstract provided.

The Biological Use Of The Stable Mass Isotopes, Allan Hemingway

Journal of the Minnesota Academy of Science

No abstract provided.

Threshold Values For The Perception Of The Direction Of Frequency Modulation, Abe Pepinsky

Journal of the Minnesota Academy of Science

No abstract provided.

Abstract Papers

Journal of the Minnesota Academy of Science

No abstract provided.

Back Matter

Journal of the Minnesota Academy of Science

No abstract provided.

Characteristics Of Spectrographic Plates In The Ultra Violet Region Between 2300-2000a, R. G. Beck, L. Lundberg, Elmer S. Miller

Journal of the Minnesota Academy of Science

No abstract provided.

An Attempt To Correlate Certain Physical And Chemical Properties Of Various Commercial Animal Glues, Robert C. Andersen

Bachelors’ Theses

The manufacture and use of glue involves many important industries, and up to recent times we, in America, have lost much by our old "rule of thumb" and traditional methods for testing glues. In recent times much work has been done on a strictly scientific basis to explain the actions of glue from both a colloidal and a physicochemical aspect.

This thesis is concerned in particular with the possibility of coordinating the different properties exhibited by the accepted glue tests so that a definite criterion might be postulated for a high-grade animal glue. This task, however, proved extremely difficult, for …

Nebraska In Relation To The Problems Of Pleistocene Stratigraphy, Alvin Leonard Lugn

Department of Earth and Atmospheric Sciences: Faculty Publications

Nebraska is so peculiarly situated with respect to Pleistocene deposits of glacial, fluviatile, and eolian origin that it holds the key to the solution of many important problems of the stratigraphy of that period. A brief outline of the Pleistocene geology of Nebraska with several illustrations is followed by a statement of and brief discussion of several of these problems. The main problems touched upon are: age of the Loveland loess, Pleistocene classification, correlation with Europe, the need for a better understanding of what is meant by "glacial" and "interglacial," the problem of glacial and interglacial loess, the duration of …

Copper Chromium Oxide As A Catalyst In The Hydrogenation Of Castor Oil, Mary Sebaldus Rueger

Bachelors’ Theses

Catalysts are essential to most hydrogenation reactions. Very few hydrogenations occur in the absence of some sort of catalyst. Thus, the earlier work of Bergius on coal hydrogenation was non-catalytic, but more recently the process has become practically entirely catalytic thru the development of the I. G. Farbenindustrie in Germany.

Montana Oil Fields, Conrad F. Lundgren

Bachelors Theses and Reports, 1928 - 1970

Since the discovery of oil in Montana in1916, the petroleum industry has advanced to a point where over 5,000,000 barrels of oil worthover $6,500,000 has been produced in each of the three past years (1936, 1937, and 1938).

Electro-Dialysis Of Gum Arabic By Means Of A Continuous Flow Apparatus, Jerome J. Kowalski

Bachelors’ Theses

This work was performed with the intention of devising a method for the electro-dialytlc separation of electrolytes and colloids which provides for the continuous flow of sol and dialysate during the process.

The facts which were instrumental in directing the author's attention to this problem are: (1) The lack of a simple and efficient apparatus for electrodialysis, and (2) the wide range of possibilities for the application of such a device.

Gauss' Hypergeometric Equation, William R. Smith

Master's Theses

As early as the seventeenth century the English mathematician, john Wallis (1616-1703), used the term "hypergeometric" to describe a series which he was studying. This series, ∑(a)(a+b)(a+2b)…(a+n-1b), is quite different from the usual geometric series, hence the term, "hyper" (=above) plus "geometric," was used to signify that the series was of greater complexity than the geometric series. Wallis did not consider his series a power series or a function of x.

In 1769 this series received a remarkable development at the hands of Loonhard Euler who, following the example of Wallis, applied the word "hypergeometric" to it. He observed that …