Department of Mathematics and Computer Science

Research Output 1937 2020

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1952
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A property of positive matrices

Peremans, W., Duparc, H. J. A. & Lekkerkerker, C. G., 1952, In : Proceedings of the Koninklijke Nederlandse Akademie van Wetenschappen: Series A: Mathematical Sciences. 65, 1, p. 24-27

Research output: Contribution to journalArticleAcademicpeer-review

Positive Matrices

Distance-geometric development of two-dimensional Euclidean, hyperbolical and spherical geometry (I)

Seidel, J. J., 1952, In : Simon Stevin : Wis- en Natuurkundig Tijdschrift. 29, p. 32-50

Research output: Contribution to journalArticleAcademicpeer-review

Distance-geometric development of two-dimensional Euclidean, hyperbolical and spherical geometry (II)

Seidel, J. J., 1952, In : Simon Stevin : Wis- en Natuurkundig Tijdschrift. 29, p. 65-76

Research output: Contribution to journalArticleAcademicpeer-review

Distance geometry and Boolean algebras

Laman, G., 1952, In : Simon Stevin : Wis- en Natuurkundig Tijdschrift. 29, p. 83-91

Research output: Contribution to journalArticleAcademicpeer-review

Elemental r bewijs van de onafhankelijkheid van gemiddelde en spreiding bij steekproeven uit een normale verdeling

IJzeren, van, J., 1952, In : Statistica Neerlandica. 6, 2, p. 113-119 7 p.

Research output: Contribution to journalArticleAcademicpeer-review

Sample mean
Gaussian distribution
Deviation
n-dimensional
Reasoning

Inequalities concerning determinants and systems of linear equations

Bruijn, de, N. G. & Dantzig, van, D., 1952, In : Proceedings of the Koninklijke Nederlandse Akademie van Wetenschappen: Series A: Mathematical Sciences. 65, 3, p. 315-321

Research output: Contribution to journalArticleAcademicpeer-review

System of Linear Equations
Determinant
1 Downloads (Pure)

Some linear and some quadratic recursion formulas. II

Bruijn, de, N. G. & Erdös, P., 1952, In : Proceedings of the Koninklijke Nederlandse Akademie van Wetenschappen: Series A: Mathematical Sciences. 14, p. 152-163

Research output: Contribution to journalArticleAcademicpeer-review

Recursion Formula
1 Citation (Scopus)

Thermodynamic properties of carbon monoxide at temperatures between 0 and 150°C and at pressures up to 3000 atmospheres

Michels, A. M. J. F., Lunbeck, R. J. & Wolkers, G. J., 1952, In : Applied Scientific Research. 3, 4, p. 253-260

Research output: Contribution to journalArticleAcademicpeer-review

Carbon monoxide
Thermodynamic properties
Temperature
8 Citations (Scopus)

Thermodynamic properties of nitrogen as functions of pressure and temperature between 0 and 6000 atmospheres and −125° and +150°C

Lunbeck, R. J., Michels, A. M. J. F. & Wolkers, G. J., 1952, In : Applied Scientific Research. 3, 3, p. 197-210

Research output: Contribution to journalArticleAcademicpeer-review

Thermodynamic properties
Thermodynamics
Nitrogen
Temperature
1951
148 Downloads (Pure)
Open Access
File
1 Downloads (Pure)

A note on Kline's Bessel-function expansion

Bouwkamp, C. J. & Bremmer, H., 1951, In : Proceedings of the Koninklijke Nederlandse Akademie van Wetenschappen: Series A: Mathematical Sciences. 54, 2, p. 130-134

Research output: Contribution to journalArticleAcademicpeer-review

591 Downloads (Pure)

Circuits and trees in oriented linear graphs

Aardenne-Ehrenfest, van, T. & Bruijn, de, N. G., 1951, In : Simon Stevin : Wis- en Natuurkundig Tijdschrift. 28, p. 203-217

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
86 Downloads (Pure)

Functions whose differences belong to a given class

Bruijn, de, N. G., 1951, In : Nieuw Archief voor Wiskunde. serie 2, 23, p. 194-218

Research output: Contribution to journalArticlePopular

Open Access
File
168 Downloads (Pure)

On the number of positive integers $\leq x$ and free of prime factors $>y$

Bruijn, de, N. G., 1951, In : Proceedings of the Koninklijke Nederlandse Akademie van Wetenschappen: Series A: Mathematical Sciences. 54, 1, p. 50-60

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
5 Citations (Scopus)

On the second and third virial coefficient of methyl fluoride

Lunbeck, R. J. & Seldam, ten, C. A., 1951, In : Physica. 17, 8, p. 788-792

Research output: Contribution to journalArticleAcademicpeer-review

Molecular interactions
Permittivity
5 Citations (Scopus)

On the second virial coefficient of gas mixtures

Lunbeck, R. J. & Boerboom, A. J. H., 1951, In : Physica. 17, 1, p. 76-80

Research output: Contribution to journalArticleAcademicpeer-review

Gas mixtures
Molecules
Compressibility of gases
Gases
Temperature
1279 Downloads (Pure)

On the set of divisors of a number

Bruijn, de, N. G., Ebbenhorst Tengbergen, van, C. & Kruyswijk, D., 1951, In : Nieuw Archief voor Wiskunde. serie 2, 23, p. 191-193

Research output: Contribution to journalArticlePopular

Open Access
File

Over de herleiding van B tot $\Gamma$

IJzeren, van, J., 1951, In : Statistica Neerlandica. 5, 3/4, p. 119-122 4 p.

Research output: Contribution to journalArticleAcademicpeer-review

Deduction
Disadvantage
89 Downloads (Pure)

Some linear and some quadratic recursion formulas. I

Bruijn, de, N. G. & Erdös, P., 1951, In : Proceedings of the Section of Sciences of the Koninklijke Nederlandse Akademie van Wetenschappen. Series A, mathematical sciences. 54, 5, p. 374-382

Research output: Contribution to journalArticlePopular

Open Access
File

Some theorems on free algebras and direct products of algebras

Peremans, W., 1951, In : Simon Stevin : Wis- en Natuurkundig Tijdschrift. 29, p. 51-59

Research output: Contribution to journalArticleAcademicpeer-review

129 Downloads (Pure)

The asymptotic behaviour of a function occuring in the theory of primes

Bruijn, de, N. G., 1951, In : Journal of the Indian Mathematical Society. New Series. 15, p. 25-32

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
7 Citations (Scopus)

Thermodynamical properties of argon as function of pressure and temperature between 0 and 2000 atmospheres and 0° and 150°C

Michels, A. M. J. F., Lunbeck, R. J. & Wolkers, G. J., 1951, In : Applied Scientific Research. 2, 1, p. 345-350

Research output: Contribution to journalArticleAcademicpeer-review

Argon
Temperature
41 Citations (Scopus)

Thermodynamical properties of nitrogen as functions of density and temperature between −125° and +150°C and densities up to 760 Amagat

Michels, A. M. J. F., Lunbeck, R. J. & Wolkers, G. J., 1951, In : Physica. 17, 9, p. 801-816

Research output: Contribution to journalArticleAcademicpeer-review

Nitrogen
Temperature
Compressibility
Experiments
1950

Current distribution in triodes neglecting space charge and initial velocities

Hamaker, H. C., 1950, In : Applied Scientific Research, Section B. 1, 1, p. 77-104

Research output: Contribution to journalArticleAcademicpeer-review

Triodes
triodes
current distribution
Electric space charge
Distribution functions

Erratum: Thermodynamical functions of argon

Michels, A. M. J. F., Lunbeck, R. J. & Wolkers, G. J., 1950, In : Physica. 16, 3, p. 224 1 p.

Research output: Contribution to journalArticleAcademicpeer-review

Argon
31 Downloads (Pure)

Meetkundige beschouwingen over de nulpunten van polynomen in het complexe vlak

Bruijn, de, N. G., 1950, In : Faraday. 20, p. 17-20

Research output: Contribution to journalArticlePopular

Open Access
File
79 Downloads (Pure)

On bases for the set of integers

Bruijn, de, N. G., 1950, In : Publicationes Mathematicae. Institutum Mathematicum Universitatis Debreceniensis. 1, p. 232-242

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
48 Downloads (Pure)

On Bethe's theory of diffraction by small holes

Bouwkamp, C. J., 1950, In : Philips Research Reports. 5, p. 321-332

Research output: Contribution to journalArticleAcademicpeer-review

3 Downloads (Pure)
Waves
Electromagnetic
64 Downloads (Pure)

On some linear functional equations

Bruijn, de, N. G., 1950, In : Publicationes Mathematicae. Institutum Mathematicum Universitatis Debreceniensis. 1, p. 129-134

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
44 Downloads (Pure)

On some Volterra integral equations of which all solutions are convergent

Bruijn, de, N. G., 1950, In : Proceedings of the Koninklijke Nederlandse Akademie van Wetenschappen: Series A: Mathematical Sciences. 53, 5-6, p. 813-821

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
7 Citations (Scopus)
2 Downloads (Pure)

On Sommerfeld's surface wave

Bouwkamp, C. J., 1950, In : Physical Review. 80, 2, p. 294-

Research output: Contribution to journalArticleAcademicpeer-review

surface waves
18 Downloads (Pure)

On the diffraction of electromagnetic waves by small circular disks and holes

Bouwkamp, C. J., 1950, In : Philips Research Reports. 5, p. 401-422

Research output: Contribution to journalArticleAcademicpeer-review

53 Downloads (Pure)

On the number of uncancelled elements in the sieve of Eratosthenes

Bruijn, de, N. G., 1950, In : Proceedings of the Koninklijke Nederlandse Akademie van Wetenschappen: Series A: Mathematical Sciences. 53, 5-6, p. 803-812

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
1 Downloads (Pure)

On the theory of spheroidal wave functions of order zero

Bouwkamp, C. J., 1950, In : Proceedings of the Koninklijke Nederlandse Akademie van Wetenschappen: Series A: Mathematical Sciences. 53, 5-6, p. 931-944

Research output: Contribution to journalArticleAcademicpeer-review

Wave Function
Zero
57 Citations (Scopus)
770 Downloads (Pure)

The roots of trigonometric integrals

Bruijn, de, N. G., 1950, In : Duke Mathematical Journal. 17, 3, p. 197-226

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
1949
71 Downloads (Pure)

An analogue of Grace's apolarity theorem

Bruijn, de, N. G., 1949, In : Nieuw Archief voor Wiskunde. serie 2, 23, p. 69-76

Research output: Contribution to journalArticlePopular

Open Access
File
58 Downloads (Pure)

A note on slowly oscillating functions

Korevaar, J., Aardenne-Ehrenfest, van, T. & Bruijn, de, N. G., 1949, In : Nieuw Archief voor Wiskunde. serie 2, 23, p. 77-86

Research output: Contribution to journalArticlePopular

Open Access
File
30 Downloads (Pure)

Sequences of points on a circle

Bruijn, de, N. G. & Erdös, P., 1949, In : Proceedings of the Section of Sciences of the Koninklijke Nederlandse Akademie van Wetenschappen te Amsterdam. 52, 1, p. 14-17

Research output: Contribution to journalArticlePopular

Open Access
File
49 Downloads (Pure)

Some theorems on the roots of polynomials

Bruijn, de, N. G., 1949, In : Nieuw Archief voor Wiskunde. serie 2, 23, p. 66-68

Research output: Contribution to journalArticlePopular

Open Access
File
58 Downloads (Pure)

The asymptotically periodic behavior of the solutions of some linear functional equations

Bruijn, de, N. G., 1949, In : American journal of mathematics. 71, 2, p. 313-330

Research output: Contribution to journalArticlePopular

Open Access
File

Thermodynamical functions of a nitrogen-hydrogen mixture between 0°C and 300°C up to 1000 atmospheres

Michels, A. M. J. F., de Groot, S. R. & Lunbeck, R. J., 1949, In : Applied Scientific Research. 1, 1, p. 378-386

Research output: Contribution to journalArticleAcademicpeer-review

Nitrogen
Hydrogen
Temperature
12 Citations (Scopus)

Thermodynamical properties of argon as function of density and temperature between 0° and 150°C and densities to 640 Amagat

Michels, A. M. J. F., Lunbeck, R. J. & Wolkers, G. J., 1949, In : Physica. 15, 8-9, p. 689-695

Research output: Contribution to journalArticleAcademicpeer-review

Density (specific gravity)
Argon
Enthalpy
Compressibility
Kinetic energy
1948
387 Downloads (Pure)

On a combinatorial problem

Bruijn, de, N. G. & Erdös, P., 1948, In : Proceedings of the Section of Sciences of the Koninklijke Nederlandse Akademie van Wetenschappen te Amsterdam. 51, 10, p. 1277-1279

Research output: Contribution to journalArticlePopular

Open Access
File
64 Downloads (Pure)

On Mahler's partition problem

Bruijn, de, N. G., 1948, In : Proceedings of the Section of Sciences of the Koninklijke Nederlandse Akademie van Wetenschappen te Amsterdam. 51, 6, p. 659-669

Research output: Contribution to journalArticlePopular

Open Access
File
28 Downloads (Pure)

On the sum of a monotonic and a periodic function

Bruijn, de, N. G., 1948, In : Nieuw Archief voor Wiskunde. serie 2, 22, p. 241-245

Research output: Contribution to journalArticlePopular

Open Access
File
33 Citations (Scopus)

Quantum theory of condensed permanent gases III the equation of state of liquids

Boer, de, J. & Lunbeck, R. J., 1948, In : Physica. 14, 8, p. 520-529

Research output: Contribution to journalArticleAcademicpeer-review

Equations of state of liquids
Quantum theory
Inert gases
Equations of state
Gases
28 Downloads (Pure)

The logarithmic solutions of linear differential equations

Bruijn, de, N. G., 1948, In : Philosophical magazine (7). 39, p. 134-140

Research output: Contribution to journalArticlePopular

Open Access
File

The properties of condensed He3

de Boer, J. & Lunbeck, R. J., 1948, In : Physica. 14, 5, p. 318-318

Research output: Contribution to journalArticleAcademicpeer-review