Results 31 to 40 of about 4,748,115 (286)
Higher-Order Partial Differentiation [PDF]
Formalized Mathematics, 2012 Summary In this article, we shall extend the formalization of [10] to discuss higher-order partial differentiation of real valued functions. The linearity of this operator is also proved (refer to [10], [12] and [13] for partial differentiation).
Endou, Noboru +2 more
openaire +3 more sources
Core partial order in rings with involution
, 2017 Let $R$ be a unital ring with involution. We give several characterizations and properties of core partial order in $R$. In particular, we investigate the reverse order law $(ab)^{\tiny\textcircled{\tiny\#}} = b^{\tiny\textcircled{\tiny\#}} a^{\tiny ...
Chen, Jianlong +2 more
core +1 more source
Separation axioms for partially ordered convergence spaces
International Journal of Mathematics and Mathematical Sciences, 1984 In partially ordered convergence spaces, separation axioms are introduced and then related to the concept of complete separatedness due to Nachbin as well as to connectedness concepts. A method to generate new separation axioms is studied.
Reino Vainio
doaj +1 more source
Ramsey numbers of partial order graphs (comparability graphs) and implications in ring theory
Open Mathematics, 2020 For a partially ordered set (A,≤)(A,\le ), let GA{G}_{A} be the simple, undirected graph with vertex set A such that two vertices a≠b∈Aa\ne b\in A are adjacent if either a≤ba\le b or b≤ab\le a.
Badawi Ayman, Rissner Roswitha
doaj +1 more source
Low Complexity Method for Channel-Dependent Construction of Polar Codes Using Partial Order
IEEE Access, 2018 In this paper, a novel low-complexity method for channel-dependent construction of polar codes is designed by exploiting the partial order (PO) relation to eliminate redundant computations. The proposed method selects the information set with a threshold,
Baoping Feng +4 more
doaj +1 more source
A metrizable Lawson semitopological semilattice with non-closed partial order
Pracì Mìžnarodnogo Geometričnogo Centru, 2020 We construct a metrizable Lawson semitopological semilattice $X$ whose partial order $\le_X\,=\{(x,y)\in X\times X:xy=x\}$ is not closed in $X\times X$. This resolves a problem posed earlier by the authors.
Taras Banakh +2 more
doaj +1 more source
Generalized second-order partial derivatives of 1/r
, 2010 The generalized second-order partial derivatives of 1/r, where r is the radial distance in 3D, are obtained using a result of the potential theory of classical analysis.
Farassat F +13 more
core +2 more sources
Fixed points in bicomplex valued S-metric spaces with applications [PDF]
Surveys in Mathematics and its Applications, 2023 This article introduces the idea of bicomplex valued S-metric space and deduces some of its features. Additionally, for bicomplex valued S-metric spaces, some fixed point results of contraction maps are shown to meet various categories of rational ...
G. Siva
doaj
Clinical Course and Impact of Breaks in Therapy for Children With Relapsed/Refractory Solid Tumors
Pediatric Blood &Cancer, EarlyView.ABSTRACT Introduction Pediatric relapsed or refractory (R/R) solid tumors carry a dismal prognosis, and postrelapse patient experiences are not well described. We present postrelapse outcomes, including number of R/R events and subsequent therapy regimens.
Matthew T. McEvoy +5 more
wiley +1 more source
Pediatric Blood &Cancer, EarlyView.Abstract Background A routine baseline echocardiogram is often obtained prior to anthracycline administration in children with cancer. The utility of baseline echocardiogram is unclear in patients with standard risk B‐cell acute lymphoblastic leukemia (SR B‐ALL) as their anthracycline cumulative dose is low.
Ziyad Alrajhi +4 more
wiley +1 more source