Texas Archival Resources Online

TABLE OF CONTENTS


Descriptive Summary

Biographical Note

Scope and Contents

Restrictions

Index Terms

Administrative Information

Description of Series

Correspondence:

Manuscripts:

Reports:

Notes:

Dissertation, "Sequences of Points in the Complex Plane," 1950

Professional:

"Social Security Calculator" slide rule, ca. 1940

Teaching materials:

Restricted:

University of Texas, Center for American History

A Guide to the Ralph E. Lane Papers, 1940-1969, 1991 and undated



Descriptive Summary

CreatorLane, Ralph E., 1911-1962.
TitleRalph E. Lane Papers
Dates: 1940-1969, 1991 and undated
AbstractThis collection documents the research and teaching of Ralph E. Lane (1911-1962) at the University of Texas at Austin Department of Mathematics and Military Physics Research Laboratory.
Accession No.2003-036
Extent7 in.
LanguageEnglish.
RepositoryCenter for American History,The University of Texas at Austin

Biographical Note

From 1933 to 1947 Lane worked for Flitcraft Inc., first as a statistician and then vice president. Lane received his Ph.D. from the University of Texas at Austin in 1950 and continued to teach at the University where he remained until his death in 1962.

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Scope and Contents

This collection documents the research and teaching of Ralph E. Lane (1911-1962) at the University of Texas at Austin Department of Mathematics and Military Physics Research Laboratory. The papers consist of manuscripts, technical reports, and teaching notes reflecting Lane's interest in integration, probability and statistics, linear operators, and number theory.

Forms part of the Archives of American Mathematics

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Restrictions

Access Restrictions

Restricted access. Access to student grades in this collection is restricted. All other materials are open.

Use Restrictions

Collection stored offsite at the Collections Deposit Library. Please allow 48 hours for retrieval.

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Index Terms

Subjects
Lane, Ralph E., 1911-1962 -- Archives.
University of Texas at Austin. Dept. of Mathematics.
Linear operators.
Mathematics -- Study and teaching -- United States.
Number theory.
Probability and statistics.

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Administrative Information

Preferred Citation

Ralph E. Lane Papers, 1940-1969, 1991 and undated, Archives of American Mathematics, Center for American History, The University of Texas at Austin

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Detailed Description of the Collection

 

Correspondence:

Box
1Land-Air Inc., [includes notes], 1959-1961
Letter from Katherine Lane describing passive solar house, one of the first in Austin, 1991

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Manuscripts:

Box
1"The Fifth Rational Operation," [includes letter from Lane to unidentified man], 1940 and undated
"Foundations of a System of Numbers," "The First Four Rational Operations," January 1940 and undated
"Foundations of the Number Systems," February 22, 1941
"The First Three Rational Operations, "Absolute Convergence of Continued Fractions" [includes corrected proofs], undated
"The First Four Rational Operations," handwritten manuscript, undated
"Mathematics and American Universities," "Mathematicians and Their Education," undated

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Reports:

Box
1Military Physics Research Laboratory (MPRL) at the University of Texas:
Reports by Lane and others, 1958-1962
Material on low pais operators and spectral analysis, 1958-1959 and undated
U. S. Army Mathematics Research Center, report by Lane, November 1963
References, articles and other material, undated

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Notes:

Box
1Chinese abacus, slide rules, etc., undated
"Lab," mathematical notes and drawings, undated

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Box
1Dissertation, "Sequences of Points in the Complex Plane," 1950

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Professional:

Box
1Correspondence, printed material, teaching preferences, lists of definitions and terms, resume, class problems, etc., 1957-1963 and undated

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Box
1"Social Security Calculator" slide rule, ca. 1940

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Teaching materials:

Box
2Calculus, 3.1-3.3, undated
Functions 1, undated
Functions 2, undated
Functions 3, undated
Integrals 1, undated
Integrals 2, undated
Number systems 2, undated
Stieltjes integrals, undated
"Course Records," "2. Matrices" page 3 and 4, "M.321 3.1 3. Functions and Graphs…," undated
"Mr. Barthel," M645b, M678b, May 31, 1966 [?]
M321.1, 1.1, 1.2, 4.3, project, undated
366.1, "1. Differences," "Problems," undated
M645b, "Continued Fraction Expansions for the Exponential Function, "Continued Fraction Expansions for the Probability Integral," "Lemma 2.6…," undated
646.5, "4. Q Transformations…," "Theorem 5.3…," "Lemma 3.2a…," "Theorem 2.5…," "M613, p.3.1, Problems…," "Trigonometric Functions," "Properties of the Exponential," "M.321, 4.1, 4. Integrals…," undated
676 [?], "Algebra of Points in the Plane," "Operators for Smoothing Data…," "2. Some properties of q operators…," December 1955 and undated
M678a, "9. Independently distributed chance variables," undated

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Restricted:

Box
2 Student grades, 1959-1969

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