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Blumenthal, Leonard M.

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Author ID: blumenthal.leonard-m Recent zbMATH articles by "Blumenthal, Leonard M."
Published as: Blumenthal, L. M.; Blumenthal, Leonard M.; Blumenthal, Leonhard M.
External Links: MGP · Wikidata · GND
Documents Indexed: 114 Publications since 1926, including 7 Books

Publications by Year

Citations contained in zbMATH Open

40 Publications have been cited 445 times in 356 Documents Cited by Year
Theory and applications of distance geometry. Zbl 0050.38502
Blumenthal, Leonard M.
196
1953
Theory and applications of distance geometry. 2nd ed. Zbl 0208.24801
Blumenthal, L. M.
93
1970
Studies in geometry. Zbl 0204.53401
Blumenthal, L. M.; Menger, K.
39
1970
Boolean geometry. I. Zbl 0049.22602
Blumenthal, Leonard M.
12
1952
A modern view of geometry. Zbl 0108.16301
Blumenthal, L. M.
11
1961
Metric characterizations of Banach and Euclidean spaces. Zbl 0196.13702
Andalafte, E. Z.; Blumenthal, L. M.
8
1964
Notes on lattices. Zbl 0035.30103
Blumenthal, L. M.; Ellis, D. O.
8
1949
On the spherical surface of smallest radius enclosing a bounded subset of \(n\)-dimensional euclidean space. Zbl 0063.00472
Blumenthal, L. M.; Wahlin, G. E.
7
1941
Boolean geometry. II. Zbl 0132.26301
Blumenthal, L. M.; Penning, C. J.
6
1961
Distance geometries. A study of the development of abstract metrics. With an introduction by K. Menger. JFM 64.1329.01
Blumenthal, L. M.
6
1938
Distance geometries. A study of the development of abstract metrics. With an introduction by Karl Menger. Zbl 0019.32903
Blumenthal, Leonard M.
5
1938
An extension of a theorem of Jordan and von Neumann. Zbl 0065.15101
Blumenthal, Leonard M.
4
1955
Metric methods in linear inequalities. Zbl 0031.27902
Blumenthal, Leonhard M.
4
1948
Some imbedding theorems and characterization problems of distance geometry. Zbl 0063.00474
Blumenthal, L. M.
4
1943
A modern view of geometry. (Reprint of the 1961 orig., corr.). Zbl 0499.51001
Blumenthal, Leonard M.
3
1980
Distance geometry notes. Zbl 0063.00475
Blumenthal, L. M.
3
1944
Distribution of points in n-space. Zbl 0063.00473
Blumenthal, L. M.; Gillam, B. E.
3
1943
New theorems and methods in determinant theory. Zbl 0014.19603
Blumenthal, Leonard M.
3
1936
Note on normed linear spaces. Zbl 0164.43202
Blumenthal, L. M.
2
1968
A budget of curiosa metrica. Zbl 0092.39401
Blumenthal, Leonard M.
2
1959
Distance geometry of metric arcs. Zbl 0080.15303
Abel, William R.; Blumenthal, Leonard M.
2
1957
New metric-theoretic properties of elliptic space. Zbl 0037.24803
Blumenthal, L. M.; Kelly, L. M.
2
1949
A new concept in distance geometry with applications to spherical subsets. Zbl 0027.26103
Blumenthal, Leonard M.
2
1941
The geometry of a class of semimetric spaces. Zbl 0017.22902
Blumenthal, Leonard M.
2
1937
Characterization of spherical and pseudo-spherical sets of points. Zbl 0008.02603
Blumenthal, Leonard M.; Garrett, George A.
2
1933
Concerning the remainder term in Taylor’s formula. JFM 52.0226.08
Blumenthal, L. M.
2
1926
Global subsets of the sphere. Zbl 0071.37702
Blumenthal, Leonard M.
1
1956
Two existence theorems for systems of linear inequalities. Zbl 0049.12302
Blumenthal, Leonard M.
1
1952
Metric characterization of elliptic space. Zbl 0063.00476
Blumenthal, Leonard M.
1
1946
Remarks on a weak four-point property. Zbl 0061.37406
Blumenthal, L. M.
1
1943
New characterizations of segments and arcs. Zbl 0060.39801
Blumenthal, Leonard M.
1
1943
Metric methods in determinant theory. JFM 65.1113.01
Blumenthal, L. M.
1
1939
Remarks concerning the euclidean four-point property. Zbl 0014.12403
Blumenthal, Leonard M.
1
1936
Remarks concerning the Euclidean four-point property. JFM 62.1404.03
Blumenthal, L. M.
1
1936
Concerning spherical spaces. Zbl 0010.37803
Blumenthal, Leonard M.
1
1935
A note on the four-point property. Zbl 0007.12602
Blumenthal, L. M.
1
1933
Note on an application of metric geometry to determinants. Zbl 0004.19602
Blumenthal, L. M.
1
1932
An application of metric geometry to determinants. Zbl 0003.05102
Blumenthal, L. M.
1
1931
Note on Volterra and Fredholm products of symmetric kernels. JFM 57.0490.07
Blumenthal, L. M.
1
1931
An extension of the Gauss problem of eight queens. JFM 54.0106.19
Blumenthal, L. M.
1
1928
A modern view of geometry. (Reprint of the 1961 orig., corr.). Zbl 0499.51001
Blumenthal, Leonard M.
3
1980
Theory and applications of distance geometry. 2nd ed. Zbl 0208.24801
Blumenthal, L. M.
93
1970
Studies in geometry. Zbl 0204.53401
Blumenthal, L. M.; Menger, K.
39
1970
Note on normed linear spaces. Zbl 0164.43202
Blumenthal, L. M.
2
1968
Metric characterizations of Banach and Euclidean spaces. Zbl 0196.13702
Andalafte, E. Z.; Blumenthal, L. M.
8
1964
A modern view of geometry. Zbl 0108.16301
Blumenthal, L. M.
11
1961
Boolean geometry. II. Zbl 0132.26301
Blumenthal, L. M.; Penning, C. J.
6
1961
A budget of curiosa metrica. Zbl 0092.39401
Blumenthal, Leonard M.
2
1959
Distance geometry of metric arcs. Zbl 0080.15303
Abel, William R.; Blumenthal, Leonard M.
2
1957
Global subsets of the sphere. Zbl 0071.37702
Blumenthal, Leonard M.
1
1956
An extension of a theorem of Jordan and von Neumann. Zbl 0065.15101
Blumenthal, Leonard M.
4
1955
Theory and applications of distance geometry. Zbl 0050.38502
Blumenthal, Leonard M.
196
1953
Boolean geometry. I. Zbl 0049.22602
Blumenthal, Leonard M.
12
1952
Two existence theorems for systems of linear inequalities. Zbl 0049.12302
Blumenthal, Leonard M.
1
1952
Notes on lattices. Zbl 0035.30103
Blumenthal, L. M.; Ellis, D. O.
8
1949
New metric-theoretic properties of elliptic space. Zbl 0037.24803
Blumenthal, L. M.; Kelly, L. M.
2
1949
Metric methods in linear inequalities. Zbl 0031.27902
Blumenthal, Leonhard M.
4
1948
Metric characterization of elliptic space. Zbl 0063.00476
Blumenthal, Leonard M.
1
1946
Distance geometry notes. Zbl 0063.00475
Blumenthal, L. M.
3
1944
Some imbedding theorems and characterization problems of distance geometry. Zbl 0063.00474
Blumenthal, L. M.
4
1943
Distribution of points in n-space. Zbl 0063.00473
Blumenthal, L. M.; Gillam, B. E.
3
1943
Remarks on a weak four-point property. Zbl 0061.37406
Blumenthal, L. M.
1
1943
New characterizations of segments and arcs. Zbl 0060.39801
Blumenthal, Leonard M.
1
1943
On the spherical surface of smallest radius enclosing a bounded subset of \(n\)-dimensional euclidean space. Zbl 0063.00472
Blumenthal, L. M.; Wahlin, G. E.
7
1941
A new concept in distance geometry with applications to spherical subsets. Zbl 0027.26103
Blumenthal, Leonard M.
2
1941
Metric methods in determinant theory. JFM 65.1113.01
Blumenthal, L. M.
1
1939
Distance geometries. A study of the development of abstract metrics. With an introduction by K. Menger. JFM 64.1329.01
Blumenthal, L. M.
6
1938
Distance geometries. A study of the development of abstract metrics. With an introduction by Karl Menger. Zbl 0019.32903
Blumenthal, Leonard M.
5
1938
The geometry of a class of semimetric spaces. Zbl 0017.22902
Blumenthal, Leonard M.
2
1937
New theorems and methods in determinant theory. Zbl 0014.19603
Blumenthal, Leonard M.
3
1936
Remarks concerning the euclidean four-point property. Zbl 0014.12403
Blumenthal, Leonard M.
1
1936
Remarks concerning the Euclidean four-point property. JFM 62.1404.03
Blumenthal, L. M.
1
1936
Concerning spherical spaces. Zbl 0010.37803
Blumenthal, Leonard M.
1
1935
Characterization of spherical and pseudo-spherical sets of points. Zbl 0008.02603
Blumenthal, Leonard M.; Garrett, George A.
2
1933
A note on the four-point property. Zbl 0007.12602
Blumenthal, L. M.
1
1933
Note on an application of metric geometry to determinants. Zbl 0004.19602
Blumenthal, L. M.
1
1932
An application of metric geometry to determinants. Zbl 0003.05102
Blumenthal, L. M.
1
1931
Note on Volterra and Fredholm products of symmetric kernels. JFM 57.0490.07
Blumenthal, L. M.
1
1931
An extension of the Gauss problem of eight queens. JFM 54.0106.19
Blumenthal, L. M.
1
1928
Concerning the remainder term in Taylor’s formula. JFM 52.0226.08
Blumenthal, L. M.
2
1926
all top 5

Cited by 490 Authors

10 Freese, Raymond W.
8 Andalafte, Edward Z.
7 Valentine, Joseph E.
6 Blumenthal, Leonard M.
6 Havel, Timothy Franklin
6 Petruşel, Adrian
5 Lavor, Carlile Campos
5 Liberti, Leo
5 Wayment, Stanley Glen
4 Deza, Michel Marie
4 Estrada-Moreno, Alejandro
4 Gerla, Giangiacomo
4 Klee, Victor LaRue
4 Pouzet, Maurice
4 Rodríguez-Velazquez, Juan Alberto
4 Rosenberg, Ivo G.
4 Rylov, Yuri A.
3 Alexander, Ralph
3 Bandelt, Hans-Jürgen
3 Barragán-Ramírez, Gabriel A.
3 Chepoi, Victor D.
3 Crippen, Gordon M.
3 Dovgoshey, Oleksiy Alfredovich
3 Dress, Andreas W. M.
3 Dzhafarov, Ehtibar N.
3 Janos, Ludvik
3 Kirk, William Arthur
3 Liu, Jia-bao
3 Maculan, Nelson F.
3 Maehara, Hiroshi
3 Martini, Horst
3 Mucherino, Antonio
3 Murphy, Grattan P.
3 Ostrovska, Sofiya
3 Petrov, Evgenii Aleksandrovich
3 Saucan, Emil
3 Shepard, Roger N.
3 Strzelecki, Paweł
3 Swamy, K. L. N.
3 Swanepoel, Konrad J.
3 von der Mosel, Heiko
2 Anderson, Brian David Outram
2 Aviles Lopez, Antonio
2 Bailey, Robert F.
2 Bavaud, François
2 Beardon, Alan Frank
2 Bota, Monica-Felicia
2 Cao, Ming
2 Chen, Xiaomin
2 Chvátal, Vašek
2 Coppola, Cristina
2 Dekking, Frederik Michel
2 Demirel, Oğuzhan
2 Deza, Elena Ivanovna
2 Ellis, David Owen
2 Fichet, Bernard
2 Fiedler, Miroslav
2 Hästö, Peter A.
2 Hayden, Thomas L.
2 Heydarpour, Majid
2 Hjorth, Poul G.
2 Ibragimov, Zair
2 Johnson, Charles Royal
2 Kabil, Mustapha
2 Kindler, Jürgen
2 Koenderink, Jan J.
2 Larman, David G.
2 Lee, Jon
2 Markvorsen, Steen
2 Matsushima, Yatarō
2 Mayor, Gaspar
2 Melter, Robert Alan
2 Munir, Mobeen
2 Ostrovskii, Mikhail Iosifovich
2 Petruşel, Gabriela
2 Petty, Clinton M.
2 Ramírez-Cruz, Yunior
2 Rodabaugh, David J.
2 Samet, Bessem
2 Schoenberg, Isaac Jacob
2 Şerban, Marcel Adrian
2 Shahzad, Naseer
2 Stolarsky, Kenneth B.
2 Subrahmanyam, N. V.
2 Suceavă, Bogdan Dragos
2 Sundaresan, Kondagunta
2 Thomassen, Carsten
2 Williamson, Robert Emmett jun.
2 Wu, Zhijun
2 Yang, Lu
2 Yuan, Ya-xiang
1 Abbas, Mujahid
1 Abel, William R.
1 Adams, Henry
1 Admal, Nikhil Chandra
1 Ahmad, Ashfaq
1 Aiello, Marco
1 Akhtar, Zunaira
1 Akian, Marianne
1 Alexandrov, Victor A.
...and 390 more Authors
all top 5

Cited in 152 Serials

27 Proceedings of the American Mathematical Society
13 Discrete Mathematics
13 Linear Algebra and its Applications
11 Discrete Applied Mathematics
11 Journal of Geometry
9 Discrete & Computational Geometry
8 Journal of Mathematical Psychology
8 Mathematische Annalen
8 Topology and its Applications
7 Archiv der Mathematik
7 Transactions of the American Mathematical Society
7 Fixed Point Theory and Applications
6 Journal of Mathematical Analysis and Applications
6 Rendiconti del Circolo Matemàtico di Palermo. Serie II
5 International Journal of Theoretical Physics
5 Bulletin of Mathematical Biology
5 Geometriae Dedicata
4 Psychometrika
4 Advances in Mathematics
4 European Journal of Combinatorics
3 Compositio Mathematica
3 Mathematische Zeitschrift
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Zeitschrift für Analysis und ihre Anwendungen
3 Journal of Symbolic Computation
3 International Journal of Computational Geometry & Applications
3 Aequationes Mathematicae
3 Computational Optimization and Applications
3 Bulletin of the American Mathematical Society
3 Proceedings of the Japan Academy
3 Optimization Letters
2 Biological Cybernetics
2 Bulletin of the Australian Mathematical Society
2 Information Processing Letters
2 Journal of Computational Physics
2 Periodica Mathematica Hungarica
2 Rocky Mountain Journal of Mathematics
2 Fuzzy Sets and Systems
2 Inventiones Mathematicae
2 Journal of Algebra
2 Journal of Approximation Theory
2 Journal of Combinatorial Theory. Series A
2 Journal of Combinatorial Theory. Series B
2 Journal of Philosophical Logic
2 Results in Mathematics
2 Theoretical Computer Science
2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
2 Mathematical Social Sciences
2 Combinatorica
2 Journal of Classification
2 Graphs and Combinatorics
2 Applied Mathematics Letters
2 Expositiones Mathematicae
2 Mathematical Problems in Engineering
2 Computational Methods and Function Theory
2 Discrete Mathematics, Algorithms and Applications
2 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
2 Symmetry
2 Carpathian Mathematical Publications
1 Archive for Rational Mechanics and Analysis
1 Communications in Algebra
1 Computers & Mathematics with Applications
1 Communications in Mathematical Physics
1 International Journal of Mathematical Education in Science and Technology
1 Journal of Mathematical Biology
1 Linear and Multilinear Algebra
1 Mathematical Biosciences
1 Physics Reports
1 Mathematics of Computation
1 Chaos, Solitons and Fractals
1 The Mathematical Intelligencer
1 Beiträge zur Algebra und Geometrie
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Algebra Universalis
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Automatica
1 Information Sciences
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Mathematical Economics
1 Journal of Multivariate Analysis
1 Journal of Pure and Applied Algebra
1 Journal of Statistical Planning and Inference
1 Kodai Mathematical Journal
1 Manuscripta Mathematica
1 Mathematische Nachrichten
1 Mathematical Programming
1 Michigan Mathematical Journal
1 Monatshefte für Mathematik
1 Numerical Functional Analysis and Optimization
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 Siberian Mathematical Journal
1 Synthese
1 Advances in Applied Mathematics
1 Systems & Control Letters
1 Note di Matematica
1 SIAM Journal on Algebraic and Discrete Methods
1 Acta Mathematica Hungarica
1 American Journal of Mathematical and Management Sciences
1 Revista Matemática Iberoamericana
...and 52 more Serials
all top 5

Cited in 51 Fields

75 General topology (54-XX)
72 Geometry (51-XX)
62 Combinatorics (05-XX)
48 Convex and discrete geometry (52-XX)
27 Functional analysis (46-XX)
21 Operator theory (47-XX)
20 Order, lattices, ordered algebraic structures (06-XX)
20 Linear and multilinear algebra; matrix theory (15-XX)
19 Computer science (68-XX)
17 Differential geometry (53-XX)
17 Operations research, mathematical programming (90-XX)
17 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
17 Biology and other natural sciences (92-XX)
9 Mathematical logic and foundations (03-XX)
9 Calculus of variations and optimal control; optimization (49-XX)
9 Statistics (62-XX)
9 Numerical analysis (65-XX)
8 Real functions (26-XX)
7 Information and communication theory, circuits (94-XX)
6 History and biography (01-XX)
6 Approximations and expansions (41-XX)
6 Manifolds and cell complexes (57-XX)
6 Probability theory and stochastic processes (60-XX)
5 Measure and integration (28-XX)
5 Relativity and gravitational theory (83-XX)
4 General algebraic systems (08-XX)
4 Number theory (11-XX)
4 Algebraic geometry (14-XX)
4 Functions of a complex variable (30-XX)
4 Dynamical systems and ergodic theory (37-XX)
4 Quantum theory (81-XX)
3 General and overarching topics; collections (00-XX)
3 Group theory and generalizations (20-XX)
3 Mechanics of particles and systems (70-XX)
3 Statistical mechanics, structure of matter (82-XX)
3 Mathematics education (97-XX)
2 Commutative algebra (13-XX)
2 Associative rings and algebras (16-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Ordinary differential equations (34-XX)
2 Partial differential equations (35-XX)
1 Nonassociative rings and algebras (17-XX)
1 Topological groups, Lie groups (22-XX)
1 Difference and functional equations (39-XX)
1 Sequences, series, summability (40-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral equations (45-XX)
1 Algebraic topology (55-XX)
1 Mechanics of deformable solids (74-XX)
1 Optics, electromagnetic theory (78-XX)
1 Systems theory; control (93-XX)

Citations by Year

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