Mann, Henry B. (Henry Berthold)
Overview
Works:  60 works in 188 publications in 3 languages and 2,347 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Honoree, Dedicatee, Other 
Classifications:  QA241, 512.81 
Publication Timeline
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Most widely held works about
Henry B Mann
 Interview by D. Ransom Whitney( Recording )
 Proofs of the a (divided by) b theorem based on Mann's transformation by Leroy Mitchell Damewood( Book )
Most widely held works by
Henry B Mann
Analysis and design of experiments; analysis of variance and analysis of variance designs by
Henry B Mann(
Book
)
26 editions published between 1949 and 1965 in 3 languages and held by 610 WorldCat member libraries worldwide
26 editions published between 1949 and 1965 in 3 languages and held by 610 WorldCat member libraries worldwide
Addition theorems; the addition theorems of group theory and number theory by
Henry B Mann(
Book
)
31 editions published between 1965 and 1976 in English and Undetermined and held by 510 WorldCat member libraries worldwide
31 editions published between 1965 and 1976 in English and Undetermined and held by 510 WorldCat member libraries worldwide
Number theory and algebra : collected papers dedicated to Henry B. Mann, Arnold E. Ross, and Olga TausskyTodd(
Book
)
11 editions published in 1977 in English and held by 366 WorldCat member libraries worldwide
11 editions published in 1977 in English and held by 366 WorldCat member libraries worldwide
Error correcting codes; proceedings of a symposium(
Book
)
4 editions published in 1968 in English and held by 292 WorldCat member libraries worldwide
4 editions published in 1968 in English and held by 292 WorldCat member libraries worldwide
Introduction to algebraic number theory by
Henry B Mann(
Book
)
8 editions published in 1955 in English and Italian and held by 183 WorldCat member libraries worldwide
8 editions published in 1955 in English and Italian and held by 183 WorldCat member libraries worldwide
Introduction to the theory of stochastic processes depending on a continuous parameter by
Henry B Mann(
Book
)
3 editions published in 1953 in English and held by 166 WorldCat member libraries worldwide
3 editions published in 1953 in English and held by 166 WorldCat member libraries worldwide
Error correcting codes : proceedings of a symposium conducted by the mathematics research Center, United States Army, at the
University of Wisconsin, Madison, May 68, 1968 by
Henry B Mann(
Book
)
15 editions published between 1968 and 1969 in English and Undetermined and held by 46 WorldCat member libraries worldwide
15 editions published between 1968 and 1969 in English and Undetermined and held by 46 WorldCat member libraries worldwide
Introduction to the theory of stochastic processes depending on a continuous parameter by
Henry B Mann(
)
3 editions published between 1951 and 1953 in English and held by 45 WorldCat member libraries worldwide
3 editions published between 1951 and 1953 in English and held by 45 WorldCat member libraries worldwide
Lectures on error correcting codes by
Henry B Mann(
Book
)
4 editions published between 1970 and 1975 in English and held by 14 WorldCat member libraries worldwide
Contents: Groups and fields; Group codes and vector spaces; Cyclic codes; Burst error correcting codes; Peterson's decoding rule for binary BoseChaudhuri codes; Coding theorems of information theory; Implementation of errorcorrecting codes; and Majority logic decodable codes
4 editions published between 1970 and 1975 in English and held by 14 WorldCat member libraries worldwide
Contents: Groups and fields; Group codes and vector spaces; Cyclic codes; Burst error correcting codes; Peterson's decoding rule for binary BoseChaudhuri codes; Coding theorems of information theory; Implementation of errorcorrecting codes; and Majority logic decodable codes
Error Correcting Codes by
Henry B Mann(
Book
)
2 editions published in 1968 in English and held by 6 WorldCat member libraries worldwide
2 editions published in 1968 in English and held by 6 WorldCat member libraries worldwide
A new proof of the maximum principle for doublyharmonic functions by
Henry B Mann(
Book
)
5 editions published in 1967 in English and held by 6 WorldCat member libraries worldwide
Using the theory of distributions, a new proof is given of the maximum principle for functions f which are nonconstant, Lebesgue integrable and doublyharmonic on a domain in E sub 2m
5 editions published in 1967 in English and held by 6 WorldCat member libraries worldwide
Using the theory of distributions, a new proof is given of the maximum principle for functions f which are nonconstant, Lebesgue integrable and doublyharmonic on a domain in E sub 2m
Introduction to the theory of stochastic processes depending on a continuous parameter by
Henry B Mann(
Book
)
3 editions published in 1953 in English and held by 5 WorldCat member libraries worldwide
3 editions published in 1953 in English and held by 5 WorldCat member libraries worldwide
On canonical bases for subgroups of an Abelian group by
Henry B Mann(
Book
)
3 editions published in 1967 in English and held by 5 WorldCat member libraries worldwide
A basis w1 ..., wn of an Abelian group G is called canonical for the subgroup H if H =[d1w1 ..., dnwn]. Necessary and sufficient conditions are given that a basis exists which is canonical for a set H1 ..., Hs of subgroups of G. The result is applied to matrices, to n dimensional lattices and to algebraic numberfields
3 editions published in 1967 in English and held by 5 WorldCat member libraries worldwide
A basis w1 ..., wn of an Abelian group G is called canonical for the subgroup H if H =[d1w1 ..., dnwn]. Necessary and sufficient conditions are given that a basis exists which is canonical for a set H1 ..., Hs of subgroups of G. The result is applied to matrices, to n dimensional lattices and to algebraic numberfields
Error correcting codes : proceedings of a symposium, conducted by the Mathematics Research Center, United States Army at the
University of Wisconsin, 68, 1968(
Book
)
1 edition published in 1968 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 1968 in English and held by 4 WorldCat member libraries worldwide
Addition theorems by
Henry B Mann(
Book
)
2 editions published between 1965 and 1976 in Undetermined and English and held by 4 WorldCat member libraries worldwide
2 editions published between 1965 and 1976 in Undetermined and English and held by 4 WorldCat member libraries worldwide
On the prank of the design matrix of a difference set by
F. J MacWilliams(
Book
)
3 editions published in 1967 in English and held by 4 WorldCat member libraries worldwide
The rank mod p (a prime) of the incidence matrix of the Euclidean and projective hyperplanes is determined. Similar results are obtained for certain other design matrices. (Author)
3 editions published in 1967 in English and held by 4 WorldCat member libraries worldwide
The rank mod p (a prime) of the incidence matrix of the Euclidean and projective hyperplanes is determined. Similar results are obtained for certain other design matrices. (Author)
Contributions to probability and statistics; essays in honor of Harold Hotelling by
Ingram Olkin(
Book
)
1 edition published in 1960 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 1960 in English and held by 4 WorldCat member libraries worldwide
On orthogonal mpods on a cone by
Henry B Mann(
Book
)
3 editions published in 1965 in English and held by 4 WorldCat member libraries worldwide
3 editions published in 1965 in English and held by 4 WorldCat member libraries worldwide
On multipliers of difference sets by
Henry B Mann(
Book
)
3 editions published in 1968 in English and held by 4 WorldCat member libraries worldwide
Let D be an Abelian difference set v, k, lambda with klambda = n = 2n sub 1, n sub 1 odd. For every prime divisor of q of n sub 1 let t be identically equal to q(superscript (f sub q)) (v). If n> lambda, (n sub 1, lambda) = 1 then t is multiplier of D. Necessary conditions are given for the existence of a difference set with v = 9 q squared 2, k = 6 q squared 2, lambda = 4 q squared 2
3 editions published in 1968 in English and held by 4 WorldCat member libraries worldwide
Let D be an Abelian difference set v, k, lambda with klambda = n = 2n sub 1, n sub 1 odd. For every prime divisor of q of n sub 1 let t be identically equal to q(superscript (f sub q)) (v). If n> lambda, (n sub 1, lambda) = 1 then t is multiplier of D. Necessary conditions are given for the existence of a difference set with v = 9 q squared 2, k = 6 q squared 2, lambda = 4 q squared 2
Recent advances in difference sets by
Henry B Mann(
Book
)
3 editions published in 1965 in English and held by 4 WorldCat member libraries worldwide
An enumeration of cyclic difference sets by Marshall Hall in 1956 left 12 cases undecided. During the last three years all 12 cases were disposed of. The present paper combines methods of Yamamoto and Turyn to present a result which disposes not only of Hall's 12 cases but also of many other cases including non cyclic ones. Some of the author's results on difference sets in elementary Abelian groups are also discussed. (Author)
3 editions published in 1965 in English and held by 4 WorldCat member libraries worldwide
An enumeration of cyclic difference sets by Marshall Hall in 1956 left 12 cases undecided. During the last three years all 12 cases were disposed of. The present paper combines methods of Yamamoto and Turyn to present a result which disposes not only of Hall's 12 cases but also of many other cases including non cyclic ones. Some of the author's results on difference sets in elementary Abelian groups are also discussed. (Author)
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Related Identities
 Taussky, Olga Honoree Editor
 Zassenhaus, Hans Editor
 Ross, Arnold E. (Arnold Ephraim) 1906 Honoree Editor
 Hall, Marshall 19101990
 United States National Bureau of Standards
 RayChaudhuri, Dijen 1933
 Mathematics Research Center (Madison, Wis.) Other
 WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
 Schoenfeld, Lowell
 Mitchell, John W. 1935
Useful Links
Associated Subjects
Abelian groups Algebra Coding theory Combinatorial analysis Difference sets Differential equations, Partial Errorcorrecting codes (Information theory) Experimental design Forms, Quadratic Group theory Hotelling, Harold, Inequalities (Mathematics) Mann, Henry B.(Henry Berthold) Mathematical statistics Multipliers (Mathematical analysis) Number theory Ohio State University Ohio State University.Department of Statistics Potential theory (Mathematics) Probabilities Ross, Arnold E.(Arnold Ephraim), Set theory Stochastic processes Taussky, Olga Whitney, D. Ransom(Donald Ransom)
Alternative Names
Henry Mann Amerikaans wiskundige (19052000)
Henry Mann amerikansk matematikar
Henry Mann amerikansk matematiker
Henry Mann matematico statunitense
Henry Mann mathématicien américain
Henry Mann USamerikanischer Mathematiker
Mann, H. B.
Mann, H. B. 19052000
Mann, H. B. 19052006
Mann, Heinrich Berthold 19052006
Mann, Henry B.
Mann, Henry Berthold
Mann, Henry Berthold 19052006
Манн, Генри
هنري مان
هنری مان ریاضیدان آمریکایی
ヘンリー・マン
Languages