A characterization of $ b $-generalized skew derivations on a Lie ideal in a prime ring by Omaima Alshanqiti, Ashutosh Pandey, Mani Shankar Pandey

“…This paper investigates the analysis of $ \mathrm{b} $-generalized skew derivations, denoted as $ \Delta_1 $ and $ \Delta_2 $, within a prime ring $ \mathcal{R} $ with characteristic different from 2. …”
Get full text

Characterization of Entire Sequences via Double Orlicz Space by N. Subramanian, R. Nallaswamy, N. Saivaraju

“…Let Γ denote the space of all entire sequences and ∧ the space of all analytic sequences. …”
Get full text

Paupertas (poverty) in John Calvin's Institutes by R. M. Britz

“…In the spiritual sense, paupertas denotes the desperate aspect of spiritual poverty (i.e. …”
Get full text

Music videos as cultural artefacts of the eighties by Retha Van Niekerk

“…In the theoretical model three levels of meaning, namely denotative, connotative and mythical, are distinguished with certain qualititative elements defined on each level The denotative level or the level of reality contains iconic signs, indexical signs and symbolical signs. …”
Get full text

Schur Algebras over C*-Algebras by Pachara Chaisuriya, Sing-Cheong Ong, Sheng-Wang Wang

“…Let 𝒜 be a C*-algebra with identity 1, and let s(𝒜) denote the set of all states on 𝒜. For p,q,r∈[1,∞), denote by 𝒮r(𝒜) the set of all infinite matrices A=[ajk]j,k=1∞ over 𝒜 such that the matrix (ϕ[A[2]])[r]:=[(ϕ(ajk*ajk))r]j,k=1∞ defines a bounded linear operator from ℓp to ℓq for all ϕ∈s(𝒜). …”
Get full text

On the Maximum SC Index of Chemical Unicyclic Graphs by Hui-Yan Cheng, Lei Chen, Sattar Alyar

“…The sum-connectivity SC index of a graph G is defined as SCG=∑μν∈EG1/Θμ+Θν, where Θμ denotes the vertex degree of μ in G. In this paper, the fourth largest value of SC index for the chemical unicyclic graphs of order n≥7 is determined.…”
Get full text

Some topologies on the set of lattice regular measures by Panagiotis D. Stratigos

“…Alexandroff, namely, an arbitrary set X and an arbitrary lattice of subsets of X, ℒ. 𝒜(ℒ) denotes the algebra of subsets of X generated by ℒ and MR(ℒ) the set of all lattice regular, (finitely additive) measures on 𝒜(ℒ).…”
Get full text

Point-valued mappings of sets by Matt Insall

“…Let X be a metric space and let CB(X) denote the closed bounded subsets of X with the Hausdorff metric. …”
Get full text

A Semiotic Analysis on Confession of a Shopaholic Trailer: Roland Barthes Approach by Nur Syasya Qistina Mazeree, Norhakimin Ashaari, Nadzirah Munirah Ramli, Nur Arifah Zahiah Zuri

“…The research identified a total of six pieces of data included in the trailer and provided detailed explanations of their denotation, connotation, and mythological significance. …”
Get full text

A Semiotic Analysis on Confession of a Shopaholic Trailer: Roland Barthes Approach by Nur Syasya Qistina Mazeree, Norhakimin Ashaari, Nadzirah Munirah Ramli, Nur Arifah Zahiah Zuri

“…The research identified a total of six pieces of data included in the trailer and provided detailed explanations of their denotation, connotation, and mythological significance. …”
Get full text

On metric dimension and crosscap analysis of sum-annihilating essential ideal graph of commutative rings by Nadeem ur Rehman, Shabir Ahmad Mir, Mohd Nazim, Nazim Nazim

“…Consider a commutative ring with unity denoted as [Formula: see text]. An ideal I of a ring [Formula: see text] is called an annihilating ideal if there exists a non-zero element [Formula: see text] such that rI = 0. …”
Get full text

Extension of the best approximation operator in Orlicz spaces and weak-type inequalities by Sergio Favier, Felipe Zò

“…We consider an extension of the best approximation operator from an Orlicz space L φ to the space L φ′, where φ′ denotes the derivative of φ, and we prove a weak-type inequality in this space. …”
Get full text

Note on the zeros of functions with univalent derivatives by Mohammad Salmassi

“…Let E denote the class of functions f(z) analytic in the unit disc D, normalized so that f(0)=0=f′(0)−1, such that each f(k)(z), k≥0 is univalent in D. …”
Get full text

Note on the Lower Bound of Least Common Multiple by Shea-Ming Oon

“…Consider a sequence of positive integers in arithmetic progression with . Denote the least common multiple of by . We show that if , then , and we obtain optimum result on in some cases for such estimate. …”
Get full text

2019–2020 Florida Citrus Production Guide: Food Safety Requirements and Considerations for the Florida Citrus Grower by Travis K. Chapin, Michelle D. Danyluk, Renée M. Goodrich-Schneider, Keith R. Schneider, Matt Krug, Mark A. Ritenour, Tripti Vashisth

“…The distinction between voluntary GAPs recommendations and PSR requirements is made in this document by the deliberate use of the words “must” and “should” where “must” is used to denote PSR requirements and “should” is used to denote voluntary GAPs. …”
Get full text

Spectral inequalities involving the sums and products of functions by Kong-Ming Chong

“…In this paper, the notation ≺ and ≺≺ denote the Hardy-Littlewood-Pólya spectral order relations for measurable functions defined on a fnite measure space (X,Λ,μ) with μ(X)=a, and expressions of the form f≺g and f≺≺g are called spectral inequalities. …”
Get full text

2019–2020 Florida Citrus Production Guide: Food Safety Requirements and Considerations for the Florida Citrus Grower by Travis K. Chapin, Michelle D. Danyluk, Renée M. Goodrich-Schneider, Keith R. Schneider, Matt Krug, Mark A. Ritenour, Tripti Vashisth

“…The distinction between voluntary GAPs recommendations and PSR requirements is made in this document by the deliberate use of the words “must” and “should” where “must” is used to denote PSR requirements and “should” is used to denote voluntary GAPs. …”
Get full text

Extended Newton-type Method for Nonsmooth Generalized Equation under n,α-point-based Approximation by M. Z. Khaton, M. H. Rashid

“…In particular, when 0<α<1 and the derivative of f, denoted ∇f, is ℓ,α-Hölder continuous, we have shown that f admits 1,α-point-based approximation for n=1 while f admits 2,α-point-based approximation for n=2, when 0<α<1 and the second derivative of f, denoted ∇2f, is K,α-Hölder. …”
Get full text

Derivations of a Sullivan Model and the Rationalized G-Sequence by Oteng Maphane

“…Let Gk,nℂ for 2≤k<n denote the Grassmann manifold of k-dimensional vector subspaces of ℂn. …”
Get full text

On the Diophantine equation x3=dy2±q6 by Fadwa S. Abu Muriefah

“…Let q>3 denote an odd prime and d a positive integer without any prime factor p≡1(mod3). …”
Get full text