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The author gives a new proof of the following result by \textit{H. Tsuji}, [Topology 27, No.4, 429--442 (1988; Zbl 0698.14008)]:
Let \(M\) be a minimal projective variety of general type of complex dimension greater or equal to \(2\). Then its Chern numbers satisfy the Miyaoka-Yau inequality
\[
\left( \frac{2(n+1)}{... | 1 |
The author gives a new proof of the following result by \textit{H. Tsuji}, [Topology 27, No.4, 429--442 (1988; Zbl 0698.14008)]:
Let \(M\) be a minimal projective variety of general type of complex dimension greater or equal to \(2\). Then its Chern numbers satisfy the Miyaoka-Yau inequality
\[
\left( \frac{2(n+1)}{... | 0 |
Let \(M\) be a compact Riemannian manifold and \(T^2_{\theta}\) a family of the two-dimensional tori indexed by the real numbers \(0<\theta\leq 1\) acting on \(M\); the isospectral deformation \(M_{\theta}\) of \(M\) has been introduced by \textit{A. Connes} and \textit{G. Landi} in [Commun. Math. Phys. 221, No.~1, 141... | 1 |
Let \(M\) be a compact Riemannian manifold and \(T^2_{\theta}\) a family of the two-dimensional tori indexed by the real numbers \(0<\theta\leq 1\) acting on \(M\); the isospectral deformation \(M_{\theta}\) of \(M\) has been introduced by \textit{A. Connes} and \textit{G. Landi} in [Commun. Math. Phys. 221, No.~1, 141... | 0 |
It was conjectured in [\textit{M. Hedden} and \textit{L. Watson}, Selecta Math. 24, No. 2, 997--1037 (2018; Zbl 1432.57027)] that there are only finitely many L-space knots of a given knot Floer homology. The authors introduce an equivalent conjecture stating that there are only finitely many L-space knots of a given ... | 1 |
It was conjectured in [\textit{M. Hedden} and \textit{L. Watson}, Selecta Math. 24, No. 2, 997--1037 (2018; Zbl 1432.57027)] that there are only finitely many L-space knots of a given knot Floer homology. The authors introduce an equivalent conjecture stating that there are only finitely many L-space knots of a given ... | 0 |
In [The admissible dual of \(GL(N)\) via compact open subgroups. Annals of Mathematics Studies. 129 (Princeton 1993; Zbl 0787.22016)] \textit{C. Bushnell} and \textit{P. Kutzko} described the admissible dual of \(G=GL(F)\) for a \(p\)-adic field \(F\) in terms of ``types'', that is, in terms of certain finite dimension... | 1 |
In [The admissible dual of \(GL(N)\) via compact open subgroups. Annals of Mathematics Studies. 129 (Princeton 1993; Zbl 0787.22016)] \textit{C. Bushnell} and \textit{P. Kutzko} described the admissible dual of \(G=GL(F)\) for a \(p\)-adic field \(F\) in terms of ``types'', that is, in terms of certain finite dimension... | 0 |
Based on \textit{J. Westwater}'s work [Trends and developments in the eighties, Bielefeld Encounters Math. Phys. 4 and 5, 384-404 (1985; Zbl 0583.60066)], it is further proved that
\[
\lim_{T\to\infty}E_{\nu(g,T)}| w(T)/T|^ \alpha=(g^{1/3}C)^ \alpha,
\]
\(\forall\alpha>0\), for some constant \(C>0\), where \(\nu(g,T)... | 1 |
Based on \textit{J. Westwater}'s work [Trends and developments in the eighties, Bielefeld Encounters Math. Phys. 4 and 5, 384-404 (1985; Zbl 0583.60066)], it is further proved that
\[
\lim_{T\to\infty}E_{\nu(g,T)}| w(T)/T|^ \alpha=(g^{1/3}C)^ \alpha,
\]
\(\forall\alpha>0\), for some constant \(C>0\), where \(\nu(g,T)... | 0 |
For finding the solution \(x^*\) of a mixed complementarity problem in form of a variational inequality with box constraints \((y - x^*)^TF(x^*)\geq 0,\; \forall y \in [l, u]\) and with almost linear functions \(F(x) = Mx + \varphi(x)\) an iterative algorithm is developed. The algorithm computes an approximate solution... | 1 |
For finding the solution \(x^*\) of a mixed complementarity problem in form of a variational inequality with box constraints \((y - x^*)^TF(x^*)\geq 0,\; \forall y \in [l, u]\) and with almost linear functions \(F(x) = Mx + \varphi(x)\) an iterative algorithm is developed. The algorithm computes an approximate solution... | 0 |
The Priestley duality for implicative lattices has been studied by the second author [see \textit{H. A. Priestley}, ``Natural dualities'', in: K. A. Baker et al. (eds.), Lattice theory and its applications (Res. Expo. Math. 23, Heldermann Verlag, Lemgo), 185-209 (1995; Zbl 0839.06009)]. In the paper under review a new ... | 1 |
The Priestley duality for implicative lattices has been studied by the second author [see \textit{H. A. Priestley}, ``Natural dualities'', in: K. A. Baker et al. (eds.), Lattice theory and its applications (Res. Expo. Math. 23, Heldermann Verlag, Lemgo), 185-209 (1995; Zbl 0839.06009)]. In the paper under review a new ... | 0 |
Let \(\ell\) be a prime. The concepts of the logarithmic \(\ell\)-class group \(\widetilde {{\mathcal C} \ell}_K\) of a number field \(K\) has been introduced by \textit{J.-F. Jaulent} [J. Théor. Nombres Bordx. 6, 301-325 (1994; Zbl 0827.11064)]. Take \(\ell=2\). The author investigates imaginary cyclic fields \(K\) of... | 1 |
Let \(\ell\) be a prime. The concepts of the logarithmic \(\ell\)-class group \(\widetilde {{\mathcal C} \ell}_K\) of a number field \(K\) has been introduced by \textit{J.-F. Jaulent} [J. Théor. Nombres Bordx. 6, 301-325 (1994; Zbl 0827.11064)]. Take \(\ell=2\). The author investigates imaginary cyclic fields \(K\) of... | 0 |
The authors consider a covariance stationary linear process \(X\) with spectral density function
\[
f(x)=| 1-e^{i(x-\omega_0)}|^{-d}| 1-e^{i(x+\omega_0)}|^{-d}f^{*}(x), \quad x\in[-\pi,\pi]\setminus \{\pm\omega_0\},
\]
where \(0<d<1/2\) if \(\omega_0=0\) or \(\omega_0=\pi\), and \(0<d<1\) if \(\omega_0\in(0,\pi)\), a... | 1 |
The authors consider a covariance stationary linear process \(X\) with spectral density function
\[
f(x)=| 1-e^{i(x-\omega_0)}|^{-d}| 1-e^{i(x+\omega_0)}|^{-d}f^{*}(x), \quad x\in[-\pi,\pi]\setminus \{\pm\omega_0\},
\]
where \(0<d<1/2\) if \(\omega_0=0\) or \(\omega_0=\pi\), and \(0<d<1\) if \(\omega_0\in(0,\pi)\), a... | 0 |
In his study of bifurcations of diffeomorphisms, Sheldon Newhouse came across the question of what conditions might guarantee that two Cantor sets intersect. He gave an answer in terms of certain geometric ``thickness'' which, together with the obvious requirement that one Cantor set is not contained in a gap of the ot... | 1 |
In his study of bifurcations of diffeomorphisms, Sheldon Newhouse came across the question of what conditions might guarantee that two Cantor sets intersect. He gave an answer in terms of certain geometric ``thickness'' which, together with the obvious requirement that one Cantor set is not contained in a gap of the ot... | 0 |
A locally compact, second-countable topological group \(G\) is said to have the \textsl{Haagerup property} if the constant function \(1\) on \(G\) can be approximated, uniformly on compact subsets, by a sequence of normalized, positive-definite, vanishing-at-infinity functions.
This paper gives a new dynamical charact... | 1 |
A locally compact, second-countable topological group \(G\) is said to have the \textsl{Haagerup property} if the constant function \(1\) on \(G\) can be approximated, uniformly on compact subsets, by a sequence of normalized, positive-definite, vanishing-at-infinity functions.
This paper gives a new dynamical charact... | 0 |
The author adresses the question of computing the (local) index of an isolated zero of a vectorfield on \(\mathbb R^n\). Let \(g\) be a germ \(\mathbb R^n,0 \to \mathbb R^n,0\) with isolated zero. One can consider situations in which the index of \(g\) is equal to the index of \(g+G\) (where G is some germ of `higher o... | 1 |
The author adresses the question of computing the (local) index of an isolated zero of a vectorfield on \(\mathbb R^n\). Let \(g\) be a germ \(\mathbb R^n,0 \to \mathbb R^n,0\) with isolated zero. One can consider situations in which the index of \(g\) is equal to the index of \(g+G\) (where G is some germ of `higher o... | 0 |
Let E be a Banach space and \(A(t)\), \(t\in {\mathbb{R}}\) a family of closed linear operators with time dependent and nondense domains which generate analytic semigroups (not continuous at \(t=0)\). The author studies the problem \(u'(t)=A(t)u(t)+f(t)\), \(t\in I\); \(u(t_ 0)=x\) in an unbounded interval \(I\subseteq... | 1 |
Let E be a Banach space and \(A(t)\), \(t\in {\mathbb{R}}\) a family of closed linear operators with time dependent and nondense domains which generate analytic semigroups (not continuous at \(t=0)\). The author studies the problem \(u'(t)=A(t)u(t)+f(t)\), \(t\in I\); \(u(t_ 0)=x\) in an unbounded interval \(I\subseteq... | 0 |
In this part of the article [part I, cf. the review above] graphs are investigated, for which different endomorphism monoids coincide. Here endomorphisms, strong endomorphisms and automorphisms are considered. Coincidences are investigated for joins and lexicographic products of graphs. There are lists of graphs with t... | 1 |
In this part of the article [part I, cf. the review above] graphs are investigated, for which different endomorphism monoids coincide. Here endomorphisms, strong endomorphisms and automorphisms are considered. Coincidences are investigated for joins and lexicographic products of graphs. There are lists of graphs with t... | 0 |
A proof of the monotonicity of the higher-order interval Schulz's method [cf. \textit{G. Alefeld} and \textit{J. Herzberger}, Introduction to interval computations (1983; Zbl 0552.65041)] is presented. A sufficient condition for the monotonicity, which allows to choose easily the initial inclusion matrix, is given. Zeh... | 1 |
A proof of the monotonicity of the higher-order interval Schulz's method [cf. \textit{G. Alefeld} and \textit{J. Herzberger}, Introduction to interval computations (1983; Zbl 0552.65041)] is presented. A sufficient condition for the monotonicity, which allows to choose easily the initial inclusion matrix, is given. The... | 0 |
The authors consider the average sampling problem for weighted shift-invariant spaces. They show the convergence of the approximation-projection iterative algorithm to reconstruct the original function from its average samples for any function in a weighted shift-invariant space, and hence generalize a result by \texti... | 1 |
The authors consider the average sampling problem for weighted shift-invariant spaces. They show the convergence of the approximation-projection iterative algorithm to reconstruct the original function from its average samples for any function in a weighted shift-invariant space, and hence generalize a result by \texti... | 0 |
The authors investigate the distribution of points on the unit ball \(B \subset \mathbb R^3\). Motivated by results on point grids of the unit sphere of \textit{J. Cui} and \textit{W. Freeden} [SIAM J. Sci. Comput. 18, No. 2, 595--609 (1997; Zbl 0986.11049)], a formula for a generalized discrepancy is developed. This g... | 1 |
The authors investigate the distribution of points on the unit ball \(B \subset \mathbb R^3\). Motivated by results on point grids of the unit sphere of \textit{J. Cui} and \textit{W. Freeden} [SIAM J. Sci. Comput. 18, No. 2, 595--609 (1997; Zbl 0986.11049)], a formula for a generalized discrepancy is developed. This g... | 0 |
The authors study generalized associahedra which are polytopes realizing the cluster complex of a finite type cluster algebra as introduced, using $d$-vectors, by \textit{S. Fomin} and \textit{A. Zelevinsky} [Invent. Math. 154, No. 1, 63--121 (2003; Zbl 1054.17024)]. Later also realizations based on $g$-vectors were pr... | 1 |
The authors study generalized associahedra which are polytopes realizing the cluster complex of a finite type cluster algebra as introduced, using $d$-vectors, by \textit{S. Fomin} and \textit{A. Zelevinsky} [Invent. Math. 154, No. 1, 63--121 (2003; Zbl 1054.17024)]. Later also realizations based on $g$-vectors were pr... | 0 |
The author proves a comparison result for lower and upper solutions \(v(t)\) and \(w(t)\), respectively, to a two-point boundary value problem associated with the second-order dynamic equation
\[
-y^{\Delta\Delta}=f(t,y^\sigma,(y^\Delta)^\sigma).
\]
In particular, sufficient conditions are given so that \(v(t)\leq ... | 1 |
The author proves a comparison result for lower and upper solutions \(v(t)\) and \(w(t)\), respectively, to a two-point boundary value problem associated with the second-order dynamic equation
\[
-y^{\Delta\Delta}=f(t,y^\sigma,(y^\Delta)^\sigma).
\]
In particular, sufficient conditions are given so that \(v(t)\leq ... | 0 |
The story of rediscovering the Archimedean solids by Renaissance artists is well told in a fundamental paper by \textit{J. V. Field} in the same journal [ibid. 50, No. 3--4, 241--289 (1997; Zbl 0879.01008)]. Here is summarized what has been said and generally accepted until now. In autumn 2006, in the course of creatin... | 1 |
The story of rediscovering the Archimedean solids by Renaissance artists is well told in a fundamental paper by \textit{J. V. Field} in the same journal [ibid. 50, No. 3--4, 241--289 (1997; Zbl 0879.01008)]. Here is summarized what has been said and generally accepted until now. In autumn 2006, in the course of creatin... | 0 |
The author relates the geometry of piecewise-linear homeomorphisms of \(\mathbb{R}^2\) to \(K_2 (\mathbb{R})\) and shows how to use geometric configurations to find nontrivial torsion elements in \(K_2\) of fields.
The main theorem states: Let \(\text{SPL}_c\mathbb{R}^2\) be the group of compactly supported, area pre... | 1 |
The author relates the geometry of piecewise-linear homeomorphisms of \(\mathbb{R}^2\) to \(K_2 (\mathbb{R})\) and shows how to use geometric configurations to find nontrivial torsion elements in \(K_2\) of fields.
The main theorem states: Let \(\text{SPL}_c\mathbb{R}^2\) be the group of compactly supported, area pre... | 0 |
Here the author continues his previous study of combined 2-Fibonacci sequences [Notes Number Theory Discrete Math. 16, No. 2, 24--28 (2010; Zbl 1250.11018)]. In this paper he introduces two new sequences of 2-Fibonacci sequences and gives explicit formulas for their \(n\)th terms. The author introduces two new schemes ... | 1 |
Here the author continues his previous study of combined 2-Fibonacci sequences [Notes Number Theory Discrete Math. 16, No. 2, 24--28 (2010; Zbl 1250.11018)]. In this paper he introduces two new sequences of 2-Fibonacci sequences and gives explicit formulas for their \(n\)th terms. The purpose of this paper is to review... | 0 |
This paper is a continuation of the author's earlier paper [J. Number Theory 92, No. 2, 315--329 (2002; Zbl 1022.11058)]. Let \(k\) be a number field and \(G\) a transitive subgroup of the symmetric group \(S_n\). Let \(K/k\) be a finite extension such that the Galois group of the Galois closure \(K/I\) as a permutatio... | 1 |
This paper is a continuation of the author's earlier paper [J. Number Theory 92, No. 2, 315--329 (2002; Zbl 1022.11058)]. Let \(k\) be a number field and \(G\) a transitive subgroup of the symmetric group \(S_n\). Let \(K/k\) be a finite extension such that the Galois group of the Galois closure \(K/I\) as a permutatio... | 0 |
Given a list \(\underline{r}=(r_1,r_2,\dots r_m)\) of positive integers, we define the set of \(\underline{r}\)-class regular partitions to be partitions none of whose parts are divisible by any of \(r_1,\dots r_m\). We use \(\mathrm{CP}_{\underline{r},n}\) to denote the set of \(\underline{r}\)-class regular partition... | 1 |
Given a list \(\underline{r}=(r_1,r_2,\dots r_m)\) of positive integers, we define the set of \(\underline{r}\)-class regular partitions to be partitions none of whose parts are divisible by any of \(r_1,\dots r_m\). We use \(\mathrm{CP}_{\underline{r},n}\) to denote the set of \(\underline{r}\)-class regular partition... | 0 |
Let \(X^{(n)}\) denote the \(n\)-th Postnikov approximation of a connected space \(X\), and let \(SNT(X)\) be the set consisting of all homotopy types \([Y]\) such that \(X^{(n)}\) and \(Y^{(n)}\) are homotopy equivalent for each \(n\). Previously, it was conjectured by \textit{C. A. McGibbon} and \textit{J. M. Möller}... | 1 |
Let \(X^{(n)}\) denote the \(n\)-th Postnikov approximation of a connected space \(X\), and let \(SNT(X)\) be the set consisting of all homotopy types \([Y]\) such that \(X^{(n)}\) and \(Y^{(n)}\) are homotopy equivalent for each \(n\). Previously, it was conjectured by \textit{C. A. McGibbon} and \textit{J. M. Möller}... | 0 |
This paper explores the connection between determinacy and large cardinal-like axioms called \(\#\)'s (sharps). The first to connect large cardinals and determinacy was Solovay, who showed that the axiom of determinacy (AD) implies that \(\omega_ 1\) is a measurable cardinal. Martin showed that existence of measurab... | 1 |
This paper explores the connection between determinacy and large cardinal-like axioms called \(\#\)'s (sharps). The first to connect large cardinals and determinacy was Solovay, who showed that the axiom of determinacy (AD) implies that \(\omega_ 1\) is a measurable cardinal. Martin showed that existence of measurab... | 0 |
In this paper the authors classify irreducible representations of the triplet vertex algebra \(\mathcal{W}_{2,p}\) for all odd \(p>3\) and also determine the structure of the center of the Zhu algebra of \(\mathcal{W}_{2,p}\) which implies existence of a certain family of logarithmic modules. An important role in proof... | 1 |
In this paper the authors classify irreducible representations of the triplet vertex algebra \(\mathcal{W}_{2,p}\) for all odd \(p>3\) and also determine the structure of the center of the Zhu algebra of \(\mathcal{W}_{2,p}\) which implies existence of a certain family of logarithmic modules. An important role in proof... | 0 |
The author sketches a proof of the following results: any orientable compact surface of genus \(g\geq 3\) admits infinitely many immersions into E 3 with constant mean curvature. A non-compact surface of finite topological type with genus \(g\geq 0\) and \(m\geq 0\) ends or \(g\geq 2\) and \(m=2\) admits infinitely man... | 1 |
The author sketches a proof of the following results: any orientable compact surface of genus \(g\geq 3\) admits infinitely many immersions into E 3 with constant mean curvature. A non-compact surface of finite topological type with genus \(g\geq 0\) and \(m\geq 0\) ends or \(g\geq 2\) and \(m=2\) admits infinitely man... | 0 |
A family of \(2n\) sets is halvable if it can be split into two families of \(n\) sets with a common system of distinct representatives. The following necessary and sufficient condition is given: a family \(\{ A_1,\ldots,A_{2n}\}\) of sets is halvable if and only if, for each partition \(J_1,\ldots ,J_t\) of \(\{ 1,\ld... | 1 |
A family of \(2n\) sets is halvable if it can be split into two families of \(n\) sets with a common system of distinct representatives. The following necessary and sufficient condition is given: a family \(\{ A_1,\ldots,A_{2n}\}\) of sets is halvable if and only if, for each partition \(J_1,\ldots ,J_t\) of \(\{ 1,\ld... | 0 |
A Boolean algebra is said to be measurable if it is complete and admits a strictly positive and countably additive finite measure. The cardinal \(\omega_1\) is a precaliber of a Boolean algebra \({\mathbf A}\) if for every family \(\{a_\xi: \xi< \omega_1\}\) of non-zero elements of \({\mathbf A}\) there exists an uncou... | 1 |
A Boolean algebra is said to be measurable if it is complete and admits a strictly positive and countably additive finite measure. The cardinal \(\omega_1\) is a precaliber of a Boolean algebra \({\mathbf A}\) if for every family \(\{a_\xi: \xi< \omega_1\}\) of non-zero elements of \({\mathbf A}\) there exists an uncou... | 0 |
Let \(r_n(z)\) be the \(n\)th subdiagonal Padé approximant to \(e^z\) (numerator degree \(n\), denominator degree \(n+1\)). All the poles are in the right half plane and the approximants are holomorphic and bounded by 1 in the left half plane. If \(T=(T(t))_{t\geq0}\) is a uniformly bounded \(C_0\)-semigroup on the pos... | 1 |
Let \(r_n(z)\) be the \(n\)th subdiagonal Padé approximant to \(e^z\) (numerator degree \(n\), denominator degree \(n+1\)). All the poles are in the right half plane and the approximants are holomorphic and bounded by 1 in the left half plane. If \(T=(T(t))_{t\geq0}\) is a uniformly bounded \(C_0\)-semigroup on the pos... | 0 |
The authors introduce various notions of almost uniform and almost everywhere convergence in Haagerup \(L^p\)-spaces over an arbitrary von Neumann algebra, using spectral projections of the operators in the sequence under consideration. These are first demonstrated in the case of a semifinite von Neumann algebra. The e... | 1 |
The authors introduce various notions of almost uniform and almost everywhere convergence in Haagerup \(L^p\)-spaces over an arbitrary von Neumann algebra, using spectral projections of the operators in the sequence under consideration. These are first demonstrated in the case of a semifinite von Neumann algebra. The e... | 0 |
The jet schemes of a scheme \(X\) contain information about the singularities of \(X\) and have connections to motivic integration and birational geometry. If \(X\) is an affine scheme then so are its jet schemes and one can speak of the jet ideals of a given ideal. Specifically, but without giving too much detail, If ... | 1 |
The jet schemes of a scheme \(X\) contain information about the singularities of \(X\) and have connections to motivic integration and birational geometry. If \(X\) is an affine scheme then so are its jet schemes and one can speak of the jet ideals of a given ideal. Specifically, but without giving too much detail, If ... | 0 |
Reliability is the probability that a product, a software will operate or a service will be provided properly for a specified period of time under the design operating conditions without failure. This engineering textbook is organized according to the procedure followed when designing a product or service. The book con... | 1 |
Reliability is the probability that a product, a software will operate or a service will be provided properly for a specified period of time under the design operating conditions without failure. This engineering textbook is organized according to the procedure followed when designing a product or service. The book con... | 0 |
We give sufficient conditions to ensure when a mapping \(T:\boldsymbol{E} \rightarrow \boldsymbol{E}\) has a unique fixed point, \(E\) is a set of measurable functions that is uniformly continuous, closed, and convex. The proof of the existence of the fixed point depends on a certain type of sequential compactness for ... | 1 |
We give sufficient conditions to ensure when a mapping \(T:\boldsymbol{E} \rightarrow \boldsymbol{E}\) has a unique fixed point, \(E\) is a set of measurable functions that is uniformly continuous, closed, and convex. The proof of the existence of the fixed point depends on a certain type of sequential compactness for ... | 0 |
It is an obvious fact in differential geometry that a hypersurface \(M: D\subset \mathbb{R}^n\to\mathbb{R}^{n+1}\) which is the graph of a \(C^1\)-function \(f: D\to \mathbb{R}\) and has a Gauss map \(g: D\to S^n\) of class \(C^1\), is of class \(C^2\) itself, since we have for the partial derivatives \({\partial f\ove... | 1 |
It is an obvious fact in differential geometry that a hypersurface \(M: D\subset \mathbb{R}^n\to\mathbb{R}^{n+1}\) which is the graph of a \(C^1\)-function \(f: D\to \mathbb{R}\) and has a Gauss map \(g: D\to S^n\) of class \(C^1\), is of class \(C^2\) itself, since we have for the partial derivatives \({\partial f\ove... | 0 |
Let \((M,g)\) be an \(n\)-dimensional Riemannian manifold (\(n>2\)) and let \(S_g\) be the Schouten tensor of \(g\), given by
\[
S_g=\frac{1}{n-2}\left(\mathrm{Ric}-\frac{R}{2(n-1)}\cdot g\right).
\]
Then, for an integer \(k\) with \(1\leq k\leq n\), the \(k\)-scalar curvature of \(M\) can be defined by
\[
\sigma... | 1 |
Let \((M,g)\) be an \(n\)-dimensional Riemannian manifold (\(n>2\)) and let \(S_g\) be the Schouten tensor of \(g\), given by
\[
S_g=\frac{1}{n-2}\left(\mathrm{Ric}-\frac{R}{2(n-1)}\cdot g\right).
\]
Then, for an integer \(k\) with \(1\leq k\leq n\), the \(k\)-scalar curvature of \(M\) can be defined by
\[
\sigma... | 0 |
Weak fuzzy congruences were examined by the authors in a previous paper [Zb. Rad., Prir.-Mat. Fak., Univ. Novom Sadu, Ser. Mat. 15, No.1, 199-207 (1985; Zbl 0599.08005)]. Now they prove that any weak fuzzy congruence on a finite group of prime order admits at most three different membership values: \(R(e,e)=1\), \(R(x,... | 1 |
Weak fuzzy congruences were examined by the authors in a previous paper [Zb. Rad., Prir.-Mat. Fak., Univ. Novom Sadu, Ser. Mat. 15, No.1, 199-207 (1985; Zbl 0599.08005)]. Now they prove that any weak fuzzy congruence on a finite group of prime order admits at most three different membership values: \(R(e,e)=1\), \(R(x,... | 0 |
In this paper, the problem of edge decomposition of graphs is considered from the viewpoint of computational complexity. For a fixed family of graphs \(\mathcal{H}\), given a graph \(G\), the graph decomposition problem DEC(\(\mathcal{H}\)) asks whether there is an edge decomposition of \(G\) into the members of \(\mat... | 1 |
In this paper, the problem of edge decomposition of graphs is considered from the viewpoint of computational complexity. For a fixed family of graphs \(\mathcal{H}\), given a graph \(G\), the graph decomposition problem DEC(\(\mathcal{H}\)) asks whether there is an edge decomposition of \(G\) into the members of \(\mat... | 0 |
Let \(V\) be a \(k\)-vector space, let \(T(V)\) be its tensor algebra and let \(P\) be a subvector space of \(k\oplus V\oplus(V\otimes V)\) so that \(P\cap(k\oplus V)=0\). Then the quotient \(U\) of \(T(V)\) by the two-sided ideal generated by \(P\) is called non-homogeneous quadratic algebra. The natural filtration of... | 1 |
Let \(V\) be a \(k\)-vector space, let \(T(V)\) be its tensor algebra and let \(P\) be a subvector space of \(k\oplus V\oplus(V\otimes V)\) so that \(P\cap(k\oplus V)=0\). Then the quotient \(U\) of \(T(V)\) by the two-sided ideal generated by \(P\) is called non-homogeneous quadratic algebra. The natural filtration of... | 0 |
The convergence set of a divergent formal power series \(f(z_0,z_1,\ldots,z_n)\) is defined as the set of points \(\xi\in{\mathbb P}^n\) such that the formal power series \(f(tw_0,tw_1,\ldots,tw_n)\) in \(t\in\mathbb C\) is convergent for some \((w_0,\ldots,w_n)\in\pi^{-1}(\xi)\), where \(\pi:{\mathbb C}^{n+1}\setminus... | 1 |
The convergence set of a divergent formal power series \(f(z_0,z_1,\ldots,z_n)\) is defined as the set of points \(\xi\in{\mathbb P}^n\) such that the formal power series \(f(tw_0,tw_1,\ldots,tw_n)\) in \(t\in\mathbb C\) is convergent for some \((w_0,\ldots,w_n)\in\pi^{-1}(\xi)\), where \(\pi:{\mathbb C}^{n+1}\setminus... | 0 |
In this paper the author makes a study of surfaces of revolution in the Minkowski \(3\)-space. It is a continuation of the work by \textit{T. Ishihara} and \textit{F. Hara} [J. Math. Tokushima Univ. 22, 1-13 (1988; Zbl 0677.53068)]. They also consider spacelike helicoidal surfaces with constant mean curvature in the Mi... | 1 |
In this paper the author makes a study of surfaces of revolution in the Minkowski \(3\)-space. It is a continuation of the work by \textit{T. Ishihara} and \textit{F. Hara} [J. Math. Tokushima Univ. 22, 1-13 (1988; Zbl 0677.53068)]. They also consider spacelike helicoidal surfaces with constant mean curvature in the Mi... | 0 |
The book consists of three parts:
(a) the first part covers basic facts like the introduction, classification of scheduling problems, methods of combinatorial optimization and computational complexity (chapters 1--3),
(b) the second part deals with classical scheduling problems like single machine scheduling, paral... | 1 |
The book consists of three parts:
(a) the first part covers basic facts like the introduction, classification of scheduling problems, methods of combinatorial optimization and computational complexity (chapters 1--3),
(b) the second part deals with classical scheduling problems like single machine scheduling, paral... | 0 |
The flow-box or straightening theorem, in the form relevant here, states that a vector field \(\partial\) on a manifold \(M\), transverse to an analytic subvariety \(X\), is locally given by \(\partial_x\), where \(x\) is a local coordinate vanishing on \(X\). If \(X\) is smooth of codimension one, the transversality ... | 1 |
The flow-box or straightening theorem, in the form relevant here, states that a vector field \(\partial\) on a manifold \(M\), transverse to an analytic subvariety \(X\), is locally given by \(\partial_x\), where \(x\) is a local coordinate vanishing on \(X\). If \(X\) is smooth of codimension one, the transversality ... | 0 |
\textit{D. Brydges} and \textit{T. Spencer} [Commun. Math. Phys. 83, 125-152 (1982)], established a Simon-Lieb inequality for the \(\phi^ 4\)-measure in d-dimensional lattice. The paper under review shows its two- dimensional continuum version: If D is a bounded domain in \({\mathbb{R}}^ 2\) with smooth boundary \(\par... | 1 |
\textit{D. Brydges} and \textit{T. Spencer} [Commun. Math. Phys. 83, 125-152 (1982)], established a Simon-Lieb inequality for the \(\phi^ 4\)-measure in d-dimensional lattice. The paper under review shows its two- dimensional continuum version: If D is a bounded domain in \({\mathbb{R}}^ 2\) with smooth boundary \(\par... | 0 |
The authors study the coexistence state for a class of T-periodic competetive and dissipative 3-dimensional systems which have a cyclic in the boundary and such that the origin is a source. They complete Theorem 1.1 and give a correct proof of Theorem 1.2 of \textit{A. Tineo}'s paper [J. Math. Anal. Appl. 258, No. 1, 1... | 1 |
The authors study the coexistence state for a class of T-periodic competetive and dissipative 3-dimensional systems which have a cyclic in the boundary and such that the origin is a source. They complete Theorem 1.1 and give a correct proof of Theorem 1.2 of \textit{A. Tineo}'s paper [J. Math. Anal. Appl. 258, No. 1, 1... | 0 |
This paper is devoted to study the fibrations of genus 2. \textit{Y. Matsumoto} and \textit{J.-M. Montesinos} [Bull. Am. Math. Soc., New Ser. 30, No. 1, 70--75 (1994; Zbl 0797.30036)] showed that the topological type of a neighborhood of a singular fiber in a fibration of genus \(g\geq 2\) is determined by the action o... | 1 |
This paper is devoted to study the fibrations of genus 2. \textit{Y. Matsumoto} and \textit{J.-M. Montesinos} [Bull. Am. Math. Soc., New Ser. 30, No. 1, 70--75 (1994; Zbl 0797.30036)] showed that the topological type of a neighborhood of a singular fiber in a fibration of genus \(g\geq 2\) is determined by the action o... | 0 |
Given a finite group \(G\), the common degree graph \(\Gamma(G)\) of \(G\) is an undirected simple graph whose set of vertices is the set \(\mathrm{cd}(G)\setminus \{ 1 \}\) of nonlinear character degrees of \(G\). Two vertices \(\chi(1)\) and \(\psi(1)\) are adjacent in \(\Gamma(G)\) if \(\mathrm{gcd}(\chi(1), \psi(1)... | 1 |
Given a finite group \(G\), the common degree graph \(\Gamma(G)\) of \(G\) is an undirected simple graph whose set of vertices is the set \(\mathrm{cd}(G)\setminus \{ 1 \}\) of nonlinear character degrees of \(G\). Two vertices \(\chi(1)\) and \(\psi(1)\) are adjacent in \(\Gamma(G)\) if \(\mathrm{gcd}(\chi(1), \psi(1)... | 0 |
The following discrete model of a nonautonomous logistic equation
\[
N(n+1) = N(n) \text{exp }\left[c(n) - \sum_{j=0}^m b_j(n)N(n-j)\right] \quad (n \geq 0)
\]
\[
N(0) = N_0 > 0, \quad N(-j) = N_{-j} \geq 0 \quad (1 \leq j \leq m)
\]
is considered. In this model, the \(c(n)\) and \(b_j(n)\) are bouded, \(c(n) > 0, ... | 1 |
The following discrete model of a nonautonomous logistic equation
\[
N(n+1) = N(n) \text{exp }\left[c(n) - \sum_{j=0}^m b_j(n)N(n-j)\right] \quad (n \geq 0)
\]
\[
N(0) = N_0 > 0, \quad N(-j) = N_{-j} \geq 0 \quad (1 \leq j \leq m)
\]
is considered. In this model, the \(c(n)\) and \(b_j(n)\) are bouded, \(c(n) > 0, ... | 0 |
This paper is based on a course of lectures by the first author at the 1992 Les Houches session on Gravitation and Quantization. It is well-known that suitable spaces of gauge potentials over spacetime manifolds can be thought of as configuration spaces of classical field theories, including Yang-Mills theory and gravi... | 1 |
This paper is based on a course of lectures by the first author at the 1992 Les Houches session on Gravitation and Quantization. It is well-known that suitable spaces of gauge potentials over spacetime manifolds can be thought of as configuration spaces of classical field theories, including Yang-Mills theory and gravi... | 0 |
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