Results 41 to 50 of about 882,940 (266)

Weak orders admitting a perpendicular linear order

Discrete Mathematics, 2007
The authors characterize the finite weak orders admitting a perpendicular linear order and give two basic results. First, every linear order having at least four elements has a perpendicular linear order and, second, if \(q(n)\) denotes the number of linear orders perpendicular to the natural order on \([1, \ldots, n]\), then \(\lim_{n \rightarrow ...
Maurice Pouzet, Imed Zaguia
openaire   +2 more sources

Restricted generating trees for weak orderings

Discrete Mathematics & Theoretical Computer Science, 2022
Motivated by the study of pattern avoidance in the context of permutations and ordered partitions, we consider the enumeration of weak-ordering chains obtained as leaves of certain restricted rooted trees. A tree of order $n$ is generated by inserting a new variable into each node at every step.
Daniel Birmajer, Juan B. Gil, David S. Kenepp, Michael D. Weiner   +3 more
openaire   +3 more sources

A New Simplified Weak Second-Order Scheme for Solving Stochastic Differential Equations with Jumps

Mathematics, 2021
In this paper, we propose a new weak second-order numerical scheme for solving stochastic differential equations with jumps. By using trapezoidal rule and the integration-by-parts formula of Malliavin calculus, we theoretically prove that the numerical ...
Yang Li, Yaolei Wang, Taitao Feng, Yifei Xin   +3 more
doaj   +1 more source

Weak ∗-Orderings on ∗-Fields

Journal of Algebra, 1993
Let \(D\) be a division ring with center \(F\) and an involution \(*\). In this paper the author studies a special class of Baer-orderings, so called weak \(*\)-orderings, on \(D\). One motivation for this is the fact that \(*\)- fields which are finite dimensional over their centers only admit \(*\)- orderings if they are trivial.
openaire   +2 more sources

Weak order in averaging principle for stochastic differential equations with jumps

Advances in Difference Equations, 2018
In this paper, we deal with the averaging principle for a two-time-scale system of jump-diffusion stochastic differential equations. Under suitable conditions, we expand the weak error in powers of timescale parameter.
Bengong Zhang, Hongbo Fu, Li Wan, Jicheng Liu   +3 more
doaj   +1 more source

WEAK DIMENSION AND CHAIN-WEAK DIMENSION OF ORDERED SETS

Bulletin of the Korean Mathematical Society, 2005
The notions of the ``weak dimension'' \(\text{wdim}(P)\) and the ``chain-weak dimension'' \(\text{cwdim}(P)\) of a (finite) poset \(P\) are introduced. The chain-weak dimension is the smallest \(n\) such that \(P\) can be embedded in a product of \(n\) chain-weak orders, a chain-weak order being a poset \(P = C_1 \cup \cdots \cup C_m\), where each ...
Kim, Jong Youl, Lee, Jeh Gwon
openaire   +2 more sources

The Weak Order on Pattern-Avoiding Permutations [PDF]

The Electronic Journal of Combinatorics, 2014
The weak order on the symmetric group is a well-known partial order which is also a lattice. We consider subposets of the weak order consisting of permutations avoiding a single pattern, characterizing the patterns for which the subposet is a lattice. These patterns have only a single small ascent or descent.
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Association Between Dinutuximab Beta Exposure and Post‐End‐of‐Treatment Survival in Neuroblastoma: A Weighted Patient‐Level Analysis of Three Clinical Studies

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Objectives The association between exposure to dinutuximab beta (DB) and event‐free survival (EFS) or overall survival (OS) of neuroblastoma patients was assessed using data collected during three clinical trials (five cohorts). Methods A systematic review (March 2026) was conducted to identify relevant studies (prospective; registered DB ...
Przemysław Holko, Holger N. Lode, Alberto Garaventa, Carla Manzitti, Roberto Luksch, Dominique Valteau‐Couanet, Marion Gambart, John Anderson, Juliet Gray, Adela Canete, Lucas Moreno, Aleksandra Wieczorek, Cormac Owens, Shifra Ash, Isaac Yaniv, Genevieve Laureys, Hans Loibner, Katarzyna Śladowska, Ruth Ladenstein, Paweł Kawalec   +19 more
wiley   +1 more source

ON WEAK EXTENDED ORDER ALGEBRAS WITH ADJOINT PAIRS AND GALOIS PAIRS [PDF]

Journal of Algebraic Systems
In this paper, we consider properties of weak extended order algebras with adjoint pairs and Galois pairs, and prove some new results. Moreover, we clarify the relation between these algebras and BCK-algebras, that is, the class of all normal weak ...
Michiro Kondo
doaj   +1 more source

On Hierarchical Composite Endpoints in Pediatric Cancer Supportive Care: Illustrative Examples From Two Multi‐Center Phase‐III Randomized Clinical Trials

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Pediatric supportive care clinical trials often involve multiple clinically important outcomes, complicating trial interpretation. Hierarchical composite endpoints (HCEs) provide a framework to integrate key outcomes according to clinical importance.
Willem H. Collier, Mark Zobeck, Adam J. Esbenshade, Christopher C. Dvorak, Lillian Sung, David Freyer, Sarah Alexander, Etan Orgel, Nicole J. Ullrich, Zach Prudowsky, Brian Fisher, Caitlin W. Elgarten   +11 more
wiley   +1 more source