Results 41 to 50 of about 4,452,319 (321)
The co-stability manifold of a triangulated category [PDF]
Stability conditions on triangulated categories were introduced by Bridgeland as a 'continuous' generalisation of t-structures. The set of locally-finite stability conditions on a triangulated category is a manifold which has been studied intensively ...
Aihara+2 more
core +4 more sources
On invariants dual to the Bass numbers [PDF]
Let R R be a commutative Noetherian ring, and let M M be an R R -module. In earlier papers by Bass (1963) and Roberts (1980) the Bass numbers μ i ( p , M ) \mu _i(p,M) were defined for all primes p p
Jinzhong Xu, Edgar E. Enochs
openaire +2 more sources
One-Parameter Generalization of Dual-Hyperbolic Jacobsthal Numbers
In this paper, we introduce one-parameter generalization of dual-hyperbolic Jacobsthal numbers – dual-hyperbolic r-Jacobsthal numbers. We present some properties of them, among others the Binet formula, Catalan, Cassini, and d’Ocagne identities. Moreover,
Bród Dorota+2 more
doaj +1 more source
Instanton Numbers and Exchange Symmetries in $N=2$ Dual String Pairs [PDF]
In this note, we comment on Calabi-Yau spaces with Hodge numbers $h_{1,1}=3$ and $h_{2,1}=243$. We focus on the Calabi-Yau space $WP_{1,1,2,8,12}(24)$ and show how some of its instanton numbers are related to coefficients of certain modular forms.
Aldazabal+51 more
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Polymicrobial biofilms consisting of fungi and bacteria are frequently formed on endotracheal tubes and may contribute to development of ventilator associated pneumonia (VAP) in critically ill patients.
Yu Luo+5 more
doaj +1 more source
Eigenvalues and Singular Values of Dual Quaternion Matrices [PDF]
The poses of $m$ robotics in $n$ time points may be represented by an $m \times n$ dual quaternion matrix. In this paper, we study the spectral theory of dual quaternion matrices. We introduce right and left eigenvalues for square dual quaternion matrices. If a right eigenvalue is a dual number, then it is also a left eigenvalue.
arxiv
Low Rank Approximation of Dual Complex Matrices [PDF]
Dual complex numbers can represent rigid body motion in 2D spaces. Dual complex matrices are linked with screw theory, and have potential applications in various areas. In this paper, we study low rank approximation of dual complex matrices. We define $2$-norm for dual complex vectors, and Frobenius norm for dual complex matrices.
arxiv
Generalized minimizers of convex integral functionals, Bregman distance, Pythagorean identities [PDF]
Integral functionals based on convex normal integrands are minimized subject to finitely many moment constraints. The integrands are finite on the positive and infinite on the negative numbers, strictly convex but not necessarily differentiable.
Heinz H. Bauschke+2 more
core +5 more sources
Character Expansion Methods for Matrix Models of Dually Weighted Graphs [PDF]
We consider generalized one-matrix models in which external fields allow control over the coordination numbers on both the original and dual lattices.
A. Matytsin+17 more
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The class of dual number meadows is introduced. By definition this class is a quasivariety. Dual number meadows contain a non-zero element the square of which is zero. These structures are non-involutive and coregular. Some properties of the equational theory of dual number meadows are discussed and an initial algebra specification is given for the ...
openaire +3 more sources