A Guide to the Ralph E. Lane Papers, 19401969, 1991 and
undated





Creator 
Lane, Ralph E.,
19111962. 

Title 
Ralph E. Lane
Papers 

Dates: 
19401969, 1991 and undated 

Abstract 
This collection
documents the research and teaching of Ralph E. Lane (19111962) at the
University of Texas at Austin Department of Mathematics and Military Physics
Research Laboratory. 

Accession No. 
2003036 

Extent 
7 in. 

Language 
Materials are written in English. 

Repository: 
Dolph Briscoe Center for American
History, The University of Texas at
Austin 
Ralph E. Lane (19111962) was a statistician and professor at the University
of Texas at Austin. 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.
This collection documents the research and teaching of Ralph E. Lane
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.
Access Restrictions
Restricted access. Access to student grades in this collection is
restricted. All other materials are open.
Use Restrictions
This collection is stored remotely at CDL. Advance notice required
for retrieval. Contact repository for retrieval.







Subjects 


Lane, Ralph E., 19111962 
Archives. 


University of Texas at Austin. Dept. of
Mathematics. 


Linear operators. 


Mathematics  Study and teaching 
United States. 


Number theory. 


Probability and statistics. 
Ralph E. Lane Papers, 19401969, 1991 and undated, Archives of
American Mathematics, Dolph Briscoe Center for American History, University of Texas at
Austin.
Detailed Description of the Collection















Correspondence: 
Box 
2003036/1 


LandAir Inc., [includes notes],
19591961 



Letter from Katherine Lane describing passive solar
house, one of the first in Austin,
1991 















Manuscripts: 
Box 
2003036/1 


"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 















Reports: 
Box 
2003036/1 


Military Physics Research Laboratory (MPRL) at the
University of Texas: 




Reports by Lane and others,
19581962 




Material on low pais operators and spectral analysis,
19581959 and
undated 



U. S. Army Mathematics Research Center, report by Lane,
November 1963 



References, articles and other material,
undated 















Notes: 
Box 
2003036/1 


Chinese abacus, slide rules, etc.,
undated 



"Lab," mathematical notes and drawings,
undated 















Box 
2003036/1 

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















Professional: 
Box 
2003036/1 


Correspondence, printed material, teaching preferences,
lists of definitions and terms, resume, class problems, etc.,
19571963 and
undated 















Box 
2003036/1 

"Social Security Calculator" slide rule,
ca. 1940 















Teaching materials: 
Box 
2003036/2 


Calculus, 3.13.3,
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 















Restricted: 
Box 
2003036/2 


Student grades,
19591969 
