Zobrazeno 1 - 10
of 63
pro vyhledávání: '"Endre Makai"'
Autor:
Endre Makai, Tibor Tarnai
Publikováno v:
Studia Scientiarum Mathematicarum Hungarica.
The motions of a bar structure consisting of two congruent tetrahedra are investigated, whose edges in their basic position are the face diagonals of a rectangular parallelepiped. The constraint of the motion is the following: the originally intersec
Autor:
Tibor Tarnai, Endre Makai
Publikováno v:
Elemente der Mathematik. 76:1-9
We consider vertex colourings of the dodecahedral graph with five colours, such that on each face the vertices are coloured with all the five colours. We show that the total number of these colourings is 240. All such colourings can be obtained from
Autor:
Jesús Jerónimo-Castro, Endre Makai
Publikováno v:
Studia Scientiarum Mathematicarum Hungarica. 55:421-478
High proved the following theorem. If the intersections of any two congruent copies of a plane convex body are centrally symmetric, then this body is a circle. In our paper we extend the theorem of High to spherical, Euclidean and hyperbolic spaces,
Autor:
Endre Makai, Jaroslav Zemánek
Publikováno v:
Czechoslovak Mathematical Journal. 66:821-828
Generalizing earlier results about the set of idempotents in a Banach algebra, or of self-adjoint idempotents in a C*-algebra, we announce constructions of nice connecting paths in the connected components of the set of elements in a Banach algebra,
Publikováno v:
Acta Mathematica Hungarica. 150:1-35
We investigate weak and strong structures for generalized topological spaces, among others products, sums, subspaces, quotients, and the complete lattice of generalized topologies on a given set. Also we introduce \({T_{3.5}}\) generalized topologica
Autor:
Horst Martini, Endre Makai
Publikováno v:
Acta Mathematica Hungarica. 150:176-193
Barker and Larman asked the following. Let $${K' \subset {\mathbb{R}}^d}$$ be a convex body, whose interior contains a given convex body $${K \subset {\mathbb{R}}^d}$$ , and let, for all supporting hyperplanes H of K, the (d − 1)-volumes of the int
Autor:
Endre Makai
Publikováno v:
Periodica Mathematica Hungarica. 72:112-129
The epireflective subcategories of \(\mathbf{Top}\), that are closed under epimorphic (or bimorphic) images, are \(\{ X \mid |X| \le 1 \} \), \(\{ X \mid X\) is indiscrete\(\} \) and \(\mathbf{Top}\). The epireflective subcategories of \(\mathbf{T_2U
Publikováno v:
Acta Scientiarum Mathematicarum. 80:149-174
Generalizing results of our earlier paper, we investigate the following question. Let $\pi(\lambda) : A \to B$ be an analytic family of surjective homomorphisms between two Banach algebras, and $q(\lambda)$ an analytic family of idempotents in $B$. W
Publikováno v:
Studia Scientiarum Mathematicarum Hungarica. 50:159-198
Let K ⊂ ℝ2 be an o-symmetric convex body, and K* its polar body. Then we have |K| · |K*| ≧ 8, with equality if and only if K is a parallelogram. (|·| denotes volume). If K ⊂ ℝ2 is a convex body, with o ∈ int K, then |K| · |K*| ≧ 27/4
Autor:
Endre Makai
Publikováno v:
Periodica Mathematica Hungarica. 65:107-123
The non-trivial hereditary monocoreflective subcategories of the Abelian groups are the following ones: {G 2 Ob Ab | G is a torsion group, and for all g 2 G the exponent of any prime p in the prime factorization of o(g) is at most E(p)}, where E(·)