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Journal articles on the topic 'Weakly regular set'

Author: Grafiati

Published: 28 May 2022

Last updated: 31 July 2025

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1

Klimkin, V. M., and T. A. Sribnaya. "Convergence of a sequence of weakly regular set functions." Mathematical Notes 62, no. 1 (1997): 87–92. http://dx.doi.org/10.1007/bf02356068.

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2

Enayat, Ali. "Weakly compact cardinals in models of set theory." Journal of Symbolic Logic 50, no. 2 (1985): 476–86. http://dx.doi.org/10.2307/2274236.

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The central notion of this paper is that of a κ-elementary end extension of a model of set theory. A model is said to be a κ-elementary end extension of a model of set theory if > and κ, which is a cardinal of , is end extended in the passage from to , i.e., enlarges κ without enlarging any of its members (see §0 for more detail). This notion was implicitly introduced by Scott in [Sco] and further studied by Keisler and Morley in [KM], Hutchinson in [H] and recently by the author in [E]. It is not hard to see that if has a κ-elementary end extension then κ must be regular in . Keisler and M

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3

Et.al, Vijayakumari T. "Relations of Pre Generalized Regular Weakly Locally Closed Sets in Topological Spaces." Turkish Journal of Computer and Mathematics Education (TURCOMAT) 12, no. 3 (2021): 3444–54. http://dx.doi.org/10.17762/turcomat.v12i3.1616.

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In this paper pgrw-locally closed set, pgrw-locally closed*-set and pgrw-locally closed**-set are introduced. A subset A of a topological space (X,t) is called pgrw-locally closed (pgrw-lc) if A=GÇF where G is a pgrw-open set and F is a pgrw-closed set in (X,t). A subset A of a topological space (X,t) is a pgrw-lc* set if there exist a pgrw-open set G and a closed set F in X such that A= GÇF. A subset A of a topological space (X,t) is a pgrw-lc**-set if there exists an open set G and a pgrw-closed set F such that A=GÇF. The results regarding pgrw-locally closed sets, pgrw-locally closed*

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4

DUCLOS, P., O. LEV, P. ŠŤOVÍČEK, and M. VITTOT. "WEAKLY REGULAR FLOQUET HAMILTONIANS WITH PURE POINT SPECTRUM." Reviews in Mathematical Physics 14, no. 06 (2002): 531–68. http://dx.doi.org/10.1142/s0129055x02001363.

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We study the Floquet Hamiltonian -i∂t + H + V(ωt), acting in L2([0,T],ℋ, dt), as depending on the parameter ω = 2π/T. We assume that the spectrum of H in ℋ is discrete, [Formula: see text], but possibly degenerate, and that t ↦ V(t) ∈ ℬ(ℋ) is a 2π-periodic function with values in the space of Hermitian operators on ℋ. Let J > 0 and set [Formula: see text]. Suppose that for some σ > 0 it holds true that ∑hm > hnMmMn (hm - hn)-σ < ∞ where Mm is the multiplicity of hm. We show that in that case there exist a suitable norm to measure the regularity of V, denoted ∊V, and positive consta

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5

Quynh Nga, Nguyen, and Nguyen Minh Chuong. "Some Fixed Point Theorems for Noncompact and Weakly Asymptotically Regular Set-Valued Mappings." Numerical Functional Analysis and Optimization 24, no. 7-8 (2003): 895–905. http://dx.doi.org/10.1081/nfa-120026384.

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FORSSELL, HENRIK, and PETER LEFANU LUMSDAINE. "CONSTRUCTIVE REFLECTIVITY PRINCIPLES FOR REGULAR THEORIES." Journal of Symbolic Logic 84, no. 4 (2019): 1348–67. http://dx.doi.org/10.1017/jsl.2019.70.

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AbstractClassically, any structure for a signature ${\rm{\Sigma }}$ may be completed to a model of a desired regular theory ${T}}$ by means of the chase construction or small object argument. Moreover, this exhibits ${\rm{Mod}}\left(T)$ as weakly reflective in ${\rm{Str}}\left( {\rm{\Sigma }} \right)$.We investigate this in the constructive setting. The basic construction is unproblematic; however, it is no longer a weak reflection. Indeed, we show that various reflectivity principles for models of regular theories are equivalent to choice principles in the ambient set theory. However, the emb

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7

RINOT, ASSAF. "CHAIN CONDITIONS OF PRODUCTS, AND WEAKLY COMPACT CARDINALS." Bulletin of Symbolic Logic 20, no. 3 (2014): 293–314. http://dx.doi.org/10.1017/bsl.2014.24.

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AbstractThe history of productivity of theκ-chain condition in partial orders, topological spaces, or Boolean algebras is surveyed, and its connection to the set-theoretic notion of a weakly compact cardinal is highlighted. Then, it is proved that for every regular cardinal$\kappa > \aleph _1 {\rm{,}}$the principle □(k) is equivalent to the existence of a certain strong coloring$c\,:\,[k]^2 \, \to $kfor which the family of fibers${\cal T}\left( c \right)$is a nonspecialκ-Aronszajn tree.The theorem follows from an analysis of a new characteristic function for walks on ordinals, and implies i

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8

Luangchaisri, Panuwat, and Thawhat Changphas. "Prime one-sided ideals in ordered semigroups." Quasigroups and Related Systems 32, no. 1(51) (2024): 49–57. https://doi.org/10.56415/qrs.v32.05.

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We prove that the following are equivalent: (1) an ordered semigroup S with zero and identity is right weakly regular; (2) (AA] = A for any right ideal A of S; (3) A \ I = (AI] for any right ideal A and two-sided ideal I of S; (4) B \ I (BI] for any bi-ideal B and two-sided ideal I of S; (5) B\I \A (BIA] for any bi-ideal B, right ideal A and two-sided ideal I of S; and prove that S is a fully prime right ordered semigroup if and only if S is right weakly regular and the set of all two-sided ideals of S is totally ordered.

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9

Fleischer, Lukas, and Manfred Kufleitner. "The complexity of weakly recognizing morphisms." RAIRO - Theoretical Informatics and Applications 53, no. 1-2 (2018): 1–17. http://dx.doi.org/10.1051/ita/2018006.

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Weakly recognizing morphisms from free semigroups onto finite semigroups are a classical way for defining the class of ω-regular languages, i.e., a set of infinite words is weakly recognizable by such a morphism if and only if it is accepted by some Büchi automaton. We study the descriptional complexity of various constructions and the computational complexity of various decision problems for weakly recognizing morphisms. The constructions we consider are the conversion from and to Büchi automata, the conversion into strongly recognizing morphisms, as well as complementation. We also show that

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10

S. R, SREENA, DR SATHEESH E. N та DR VARUGHESE MATHEW. "REVIEW OF WπGR CLOSED SETS IN TOPOLOGICAL SPACES". JOURNAL OF ADVANCES IN MATHEMATICS 23 (6 квітня 2024): 70–73. http://dx.doi.org/10.24297/jam.v23i.9600.

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In this paper we introduce a new class of sets called weakly π generalized regular closed (wπgr closed) sets. A subset A of X is called wπgr closed set if cl( int A) ⊆U whenever A⊆U and U is πgr open in X. The complement of wπgr-closed set is called wπgr-open set in X. We denote the family of all wπgr closed sets in X by wπGRC(X) and wπgr open sets in X by wπGRO(X))

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Medghalchi, A. R., and S. M. Tabatabaie. "An Extension of the Spectral Mapping Theorem." International Journal of Mathematics and Mathematical Sciences 2008 (2008): 1–8. http://dx.doi.org/10.1155/2008/531424.

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We give an extension of the spectral mapping theorem on hypergroups and prove that if is a commutative strong hypergroup with and is a weakly continuous representation of on a -algebra such that for every , is an -automorphism, is a synthesis set for and is without order, then for any in a closed regular subalgebra of containing , , where is the Arveson spectrum of .

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BERINDE, VASILE, MADALINA PACURAR, and IOAN A. RUS. "From a Dieudonne theorem concerning the Cauchy problem to an open problem in the theory of weakly Picard operators." Carpathian Journal of Mathematics 30, no. 3 (2014): 283–92. http://dx.doi.org/10.37193/cjm.2014.03.16.

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Let (X, d) be a complete metric space and let f : X → X be a self operator. In this paper we study the following two problems: Problem 1. Let f be such that its fixed points set is a singleton, i.e., Ff = {x∗}. Under which conditions the next implication does hold: f is asymptotically regular ⇒ f is a Picard operator? Problem 2. Let f be such that, Ff 6= φ. Under which conditions the following implication does hold: f is asymptotically regular ⇒ f is a weakly Picard operator? The case of operators defined on a linear L∗-space is also studied.

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13

Martins-Ferreira, Nelson, Andrea Montoli, Alex Patchkoria, and Manuela Sobral. "On the classification of Schreier extensions of monoids with non-abelian kernel." Forum Mathematicum 32, no. 3 (2020): 607–23. http://dx.doi.org/10.1515/forum-2019-0164.

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AbstractWe show that any regular (right) Schreier extension of a monoid M by a monoid A induces an abstract kernel {\Phi\colon M\to\frac{\operatorname{End}(A)}{\operatorname{Inn}(A)}}. If an abstract kernel factors through {\frac{\operatorname{SEnd}(A)}{\operatorname{Inn}(A)}}, where {\operatorname{SEnd}(A)} is the monoid of surjective endomorphisms of A, then we associate to it an obstruction, which is an element of the third cohomology group of M with coefficients in the abelian group {U(Z(A))} of invertible elements of the center {Z(A)} of A, on which M acts via Φ. An abstract kernel {\Phi\

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14

Arkadov, Gennadiy V., Irina V. Trykova, Denis V. Zvyagincev, and Konstantin I. Kotsoev. "Application of hierarchical agglomerative clustering to create a basic classes library of a VVER 1000/1200 reactor facility." Global Nuclear Safety, no. 1 (February 13, 2023): 54–66. http://dx.doi.org/10.26583/gns-2023-01-05.

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In reactor plants with a water-water power reactor (VVER), free, weakly fixed and foreign objects may appear in the main circulation circuit, posing a threat to the integrity of the equipment and the safety of the reactor plant. For the purpose of early detection of these objects, the NPP is equipped with a system for detecting loose/weakly fixed objects (SOSP).In addition to the detection of loose/weakly fixed objects, the functions of the SOSP include the classification of registered events.The possibility of applying the classification algorithm is based on the fact that the signals from th

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15

Senoussi, R., J. Chadœuf, and D. Allard. "Weak homogenization of point processes by space deformations." Advances in Applied Probability 32, no. 4 (2000): 948–59. http://dx.doi.org/10.1017/s0001867800010387.

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We study the transformation of a non-stationary point process ξ on ℝn into a weakly stationary point process ͂ξ, with ͂ξ(B) = ξ(Φ-1(B)), where B is a Borel set, via a deformation Φ of the space ℝn. When the second-order measure is regular, Φ is uniquely determined by the homogenization equations of the second-order measure. In contrast, the first-order homogenization transformation is not unique. Several examples of point processes and transformations are investigated with a particular interest to Poisson processes.

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16

Saito, Tatsuhiko. "Construction of regular semigroups with inverse transversals." Proceedings of the Edinburgh Mathematical Society 32, no. 1 (1989): 41–51. http://dx.doi.org/10.1017/s0013091500006891.

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Let S be a regular semigroup. An inverse subsemigroup S° of S is an inverse transversal if |V(x)∩S°| = 1 for each x∈S, where V(x) denotes the set of inverses of x. In this case, the unique element of V(x)∩S° is denoted by x°, and x°° denotes (x°)–1. Throughout this paper S denotes a regular semigroup with an inverse transversal S°, and E(S°) = E° denotes the semilattice of idempotents of S°. The sets {e∈S:ee° = e} and {f∈S:f°f=f} are denoted by Is and Λs, respectively, or simply I and Λ. Though each element of these sets is idempotent, they are not necessarily sub-bands of S. When both I and Λ

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17

Singh, Sumit, Brij Tyagi, and Manoj Bhardwaj. "The almost I-Hurewicz covering property." Filomat 35, no. 14 (2021): 4777–87. http://dx.doi.org/10.2298/fil2114777s.

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In this paper, we introduce the almost I-Hurewicz (AIH) property which is a simultaneous generalization of the I-Hurewicz (IH) (see [1, 5]) and the almost Hurewicz [23] properties. It is shown that the AIH property independent to the weakly I-Hurewicz (WIH) [6] property, where I is the proper admissible ideal ofN. It is shown that in a regular space, the AIH property implies the IH property hence the WIH property, but not in Urysohn space. In a similar way, we consider almost I?-set and the almost star-I-Hurewicz property (ASIH) and it is shown that the image of almost I?-set under ?-continuou

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18

Patrikis, Stefan, and Richard Taylor. "Automorphy and irreducibility of some l-adic representations." Compositio Mathematica 151, no. 2 (2014): 207–29. http://dx.doi.org/10.1112/s0010437x14007519.

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AbstractIn this paper we prove that a pure, regular, totally odd, polarizable weakly compatible system of $l$-adic representations is potentially automorphic. The innovation is that we make no irreducibility assumption, but we make a purity assumption instead. For compatible systems coming from geometry, purity is often easier to check than irreducibility. We use Katz’s theory of rigid local systems to construct many examples of motives to which our theorem applies. We also show that if $F$ is a CM or totally real field and if ${\it\pi}$ is a polarizable, regular algebraic, cuspidal automorphi

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19

Nesterenko, V., and O. Fotij. "ON WEAK HORIZONTAL QUASI-CONTINUITY AND JOINT QUASI-CONTINUITY OF MULTIVALUED MAPPINGS." Bukovinian Mathematical Journal 12, no. 2 (2024): 162–67. https://doi.org/10.31861/bmj2024.02.15.

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The joint upper (lower) quasi-continuity of multivalued mappings from two variables is investigated. Some results on joint quasi-continuity of functions of two variables are transferred to the case of multivalued mappings. For this purpose, the concept of upper (lower) weak horizontal quasi-continuity is first introduced. With the help of this concept, sufficient conditions are established under which the multivalued mapping from two variables is joint quasi-continuous. In particular, it is established that if $X$ is a Baire space, a space $Y$ has a countable pseudobase, $Z$ a regular space, a

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Cummings, James, and Matthew Foreman. "Diagonal Prikry extensions." Journal of Symbolic Logic 75, no. 4 (2010): 1383–402. http://dx.doi.org/10.2178/jsl/1286198153.

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§1. Introduction. It is a well-known phenomenon in set theory that problems in infinite combinatorics involving singular cardinals and their successors tend to be harder than the parallel problems for regular cardinals. Examples include the behaviour of cardinal exponentiation, the extent of the tree property, the extent of stationary reflection, and the existence of non-free almost-free abelian groups. The explanation for this phenomenon lies in inner model theory, in particular core models and covering lemmas. If W is an inner model of V then1. W strongly covers V if every uncountable set of

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21

Dandan, Yang, and Victoria Gould. "Free idempotent generated semigroups over bands and biordered sets with trivial products." International Journal of Algebra and Computation 26, no. 03 (2016): 473–507. http://dx.doi.org/10.1142/s021819671650020x.

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For any biordered set of idempotents [Formula: see text] there is an initial object [Formula: see text], the free idempotent generated semigroup over[Formula: see text], in the category of semigroups generated by a set of idempotents biorder-isomorphic to [Formula: see text]. Recent research on [Formula: see text] has focused on the behavior of the maximal subgroups. Inspired by an example of Brittenham, Margolis and Meakin, several proofs have been offered that any group occurs as a maximal subgroup of some [Formula: see text], the latest being that of Dolinka and Ruškuc, who show that [Formu

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Follo, Giorgio. "Some Remarks on Fractals Generated by a Sequence of Finite Systems of Contractions." gmj 8, no. 4 (2001): 733–52. http://dx.doi.org/10.1515/gmj.2001.733.

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Abstract We generalize some results shown by J. E. Hutchinson in [Indiana Univ. Math. J. 30: 713–747, 1981]. Let be finite systems of contractions on a complete metric space; then, under some conditions on (𝔉𝑛), there exists a unique non-empty compact set 𝐾 such that the sequence defined by ((𝔉1 ○ 𝔉2 ○ ⋯ ○ 𝔉𝑛)(𝐶)) converges to 𝐾 in the Hausdorff metric for every non-empty closed and bounded set 𝐶. If the metric space is also separable and for every there are real numbers strictly between 0 and 1, satisfying the condition , then there exists a unique probability Radon measure μ 𝐾 such that the

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Tucs, A., V. Bojarevics, and K. Pericleous. "Magnetohydrodynamic stability of large scale liquid metal batteries." Journal of Fluid Mechanics 852 (August 7, 2018): 453–83. http://dx.doi.org/10.1017/jfm.2018.482.

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The aim of this paper is to develop a stability theory and a numerical model for three density-stratified electrically conductive liquid layers. Using regular perturbation methods to reduce the full three-dimensional problem to the shallow layer model, the coupled wave and electric current equations are derived. The problem set-up allows for weakly nonlinear velocity field action and an arbitrary vertical magnetic field. Further linearisation of the coupled equations is used for the linear stability analysis in the case of a uniform vertical magnetic field. New analytical stability criteria ac

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SHABIR, MUHAMMAD, and MUHAMMAD SHOAIB ARIF. "CHARACTERIZATIONS OF MONOIDS BY THE PROPERTIES OF THEIR INTUITIONISTIC FUZZY SUBACTS." New Mathematics and Natural Computation 06, no. 01 (2010): 31–48. http://dx.doi.org/10.1142/s179300571000158x.

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In this paper, we initiate the study of intuitionistic fuzzy subacts of an S-act, where S is a monoid with zero and S-acts are representations of S. We introduce the notions of pure intuitionistic fuzzy, purely intuitionistic maximal and purely intuitionistic fuzzy prime ideals of a monoid. It is shown that the set of purely intuitionistic fuzzy prime ideals of S admits the structure of a topological space, called the pure intuitionistic fuzzy spectrum of S. We also define a pure intuitionistic fuzzy subact of an S-act and call an S-act intuitionistic fuzzy normal if each of its intuitionistic

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25

Hamant, Kumar Hamant. "SOFTLY-REGULAR SPACES IN TOPOLOGICAL SPACES." Journal of Emerging Technologies and Innovative Research (JETIR) 5, no. 11 (2018): 183–90. https://doi.org/10.5281/zenodo.14898301.

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The aim of the present paper is to introduce two new classes of separation axioms (namely partly regular and softly-regular spaces) in topological spaces which are weaker than regularity and lie between regularity and weakly-regularity. The relationships among strongly   rg-regularity, regularity, soft regularity, partly-regularity, almost regularity and weakly regularity are investigated. Some properties of softly regular spaces in the forms of subspace, product spaces and quotient spaces are obtained. Moreover, we obtained some characterizations of softly regular spaces with &

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26

Shoukralla, E. S., and M. A. Markos. "The economized monic Chebyshev polynomials for solving weakly singular Fredholm integral equations of the first kind." Asian-European Journal of Mathematics 13, no. 01 (2018): 2050030. http://dx.doi.org/10.1142/s1793557120500308.

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This paper presents a numerical method for solving a certain class of Fredholm integral equations of the first kind, whose unknown function is singular at the end-points of the integration domain, and has a weakly singular logarithmic kernel with analytical treatments of the singularity. To achieve this goal, the kernel is parametrized, and the unknown function is assumed to be in the form of a product of two functions; the first is a badly-behaved known function, while the other is a regular unknown function. These two functions are approximated by using the economized monic Chebyshev polynom

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HIRVONEN, ÅSA, and TAPANI HYTTINEN. "MEASURING DEPENDENCE IN METRIC ABSTRACT ELEMENTARY CLASSES WITH PERTURBATIONS." Journal of Symbolic Logic 82, no. 4 (2017): 1199–228. http://dx.doi.org/10.1017/jsl.2017.37.

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AbstractWe define and study a metric independence notion in a homogeneous metric abstract elementary class with perturbations that is dp-superstable (superstable wrt. the perturbation topology), weakly simple and has complete type spaces and we give a new example of such a class based on B. Zilber’s approximations of Weyl algebras. We introduce a way to measure the dependence of a tuple a from a set B over another set A. We prove basic properties of the notion, e.g., that a is independent of B over A in the usual sense of homogeneous model theory if and only if the measure of dependence is &lt

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ALBRECHT, AMIE, PHIL HOWLETT, and GEETIKA VERMA. "INVERSION OF OPERATOR PENCILS ON HILBERT SPACE." Journal of the Australian Mathematical Society 108, no. 2 (2018): 145–76. http://dx.doi.org/10.1017/s1446788718000411.

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We consider a linear operator pencil with complex parameter mapping one Hilbert space onto another. It is known that the resolvent is analytic in an open annular region of the complex plane centred at the origin if and only if the coefficients of the Laurent series satisfy a doubly-infinite set of left and right fundamental equations and are suitably bounded. If the resolvent has an isolated singularity at the origin we propose a recursive orthogonal decomposition of the domain and range spaces that enables us to construct the key nonorthogonal projections that separate the singular and regula

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Mykhaylyuk, V., and O. Karlova. "A GENERALIZATION OF SIERPINSKI THEOREM ON UNIQUE DETERMINING OF A SEPARATELY CONTINUOUS FUNCTION." Bukovinian Mathematical Journal 9, no. 1 (2021): 250–63. http://dx.doi.org/10.31861/bmj2021.01.21.

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In 1932 Sierpi\'nski proved that every real-valued separately continuous function defined on the plane $\mathbb R^2$ is determined uniquely on any everywhere dense subset of $\mathbb R^2$. Namely, if two separately continuous functions coincide of an everywhere dense subset of $\mathbb R^2$, then they are equal at each point of the plane. Piotrowski and Wingler showed that above-mentioned results can be transferred to maps with values in completely regular spaces. They proved that if every separately continuous function $f:X\times Y\to \mathbb R$ is feebly continuous, then for every completely

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Krömker, Dörthe, Andreas Stolberg, Claudia Müller, Zhe Tian, and Alexandr Parlesak. "Is Adolescent Body Weight Associated With Parental Beliefs About Overweight, Attitudes Towards Food, and the Home Environment?" Journal of Food Research 4, no. 2 (2015): 104. http://dx.doi.org/10.5539/jfr.v4n2p104.

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<p>Parents play a crucial role in the development of childhood overweight and also in controling overweight. This study investigated a broad set of parental factors, including general attitudes towards food (price, identity, cooking, ecology, mood, dieting, convenience, functionality), social cognitions concerning overweight (risk perception, self-efficacy for exercising and healthy eating, response efficacy for exercising and healthy eating) and characteristics of the home environment (restriction of snacks, regular family meals, parents involved in sports) and their association with th

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Latella, Melissa, Fabio Sola, and Carlo Camporeale. "A Density-Based Algorithm for the Detection of Individual Trees from LiDAR Data." Remote Sensing 13, no. 2 (2021): 322. http://dx.doi.org/10.3390/rs13020322.

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Nowadays, LiDAR is widely used for individual tree detection, usually providing higher accuracy in coniferous stands than in deciduous ones, where the rounded-crown, the presence of understory vegetation, and the random spatial tree distribution may affect the identification algorithms. In this work, we propose a novel algorithm that aims to overcome these difficulties and yield the coordinates and the height of the individual trees on the basis of the point density features of the input point cloud. The algorithm was tested on twelve deciduous areas, assessing its performance on both regular-

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Vargas-Yáñez, Manuel, Gregorio Parrilla, Alicia Lavín, Pedro Vélez-Belchí, César González-Pola, and Alonso Hernández-Guerra. "Eddy-Induced Variability in a Transatlantic Section: Argo Observing System–Gyroscope 0302 Cruise Comparison." Journal of Atmospheric and Oceanic Technology 22, no. 7 (2005): 1069–79. http://dx.doi.org/10.1175/jtech1761.1.

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Abstract Ocean hydrological sections provide a very useful mean to study the ocean circulation as well as to determine water mass properties and to estimate fluxes. One basic method for their analysis is the spatial interpolation of data, obtained from a set of predefined stations, into a regular grid for contouring isolines and for further calculations. The shortest length scales that can be solved are limited by the distance between stations. Some of these scales, though resoluble by the sampling design, may be, with respect to time variability, shorter than the time that is needed to comple

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Chen, Yongze, and Philip L. F. Liu. "Modified Boussinesq equations and associated parabolic models for water wave propagation." Journal of Fluid Mechanics 288 (April 10, 1995): 351–81. http://dx.doi.org/10.1017/s0022112095001170.

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The modified Boussinesq equations given by Nwogu (1993a) are rederived in terms of a velocity potential on an arbitrary elevation and the free surface displacement. The optimal elevation where the velocity potential should be evaluated is determined by comparing the dispersion and shoaling properties of the linearized modified Boussinesq equations with those given by the linear Stokes theory over a range of depths from zero to one half of the equivalent deep-water wavelength. For regular waves consisting of a finite number of harmonics and propagating over a slowly varying topography, the gove

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Pillay, Anand. "Some remarks on nonmultidimensional superstable theories." Journal of Symbolic Logic 59, no. 1 (1994): 151–65. http://dx.doi.org/10.2307/2275257.

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In this paper we study nonmultidimensional superstable theories T, possibly in an uncountable language, and develop some techniques permitting the generalisation of certain results from the finite rank (and/or countable language) context to the general case.We prove, among other things, the following: there is a set A0 of parameters, which has cardinality at most ∣T∣, and in the finite-dimensional case is finite, such that over any B ⊇ A0 there is a locally atomic model. One of the consequences of this is that if C is the monster model of T, φ(x) is a formula over A0, φC ⊇ X and (X, φC) satisf

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Hamant, Kumar Hamant. "Q*-REGULAR SPACES." Quest Journals Journal of Research in Applied Mathematics 10, no. 11 (2025): 84–88. https://doi.org/10.5281/zenodo.14872476.

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In this paper, we introduce and study a new class of generalized regular space is called Q*-regular space which is weaker than regularity. The relationships among strongly rg-regular, g-regular, regular, Q*-regular, almost regular and softly regular spaces are investigated. Some of basic properties and characterizations of Q*-regular spaces in the terms of other separation and countability axioms such as semi regular, Hausdorff, separable, second countable and Lindelof spaces are obtained. 

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Zardi, D., and G. Seminara. "Chaotic mode competition in the shape oscillations of pulsating bubbles." Journal of Fluid Mechanics 286 (March 10, 1995): 257–76. http://dx.doi.org/10.1017/s0022112095000723.

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A possible mechanism for the occurrence of the phenomenon of erratic drift of bubbles in liquids subjected to acoustic waves was proposed by Benjamin & Ellis (1990) who showed that nonlinear interactions between adjacent perturbation modes expressed in terms of spherical harmonics of any order may lead to the excitation of mode 1 which is equivalent to a displacement of the bubble centroid. We show that indeed such a mechanism can give rise to a chaotic process at least under the conditions experimentally investigated by Benjamin & Ellis (1990). In fact we examine the case in which the

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Beierlein, Michael, Jay R. Gibson, and Barry W. Connors. "Two Dynamically Distinct Inhibitory Networks in Layer 4 of the Neocortex." Journal of Neurophysiology 90, no. 5 (2003): 2987–3000. http://dx.doi.org/10.1152/jn.00283.2003.

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Normal operations of the neocortex depend critically on several types of inhibitory interneurons, but the specific function of each type is unknown. One possibility is that interneurons are differentially engaged by patterns of activity that vary in frequency and timing. To explore this, we studied the strength and short-term dynamics of chemical synapses interconnecting local excitatory neurons (regular-spiking, or RS, cells) with two types of inhibitory interneurons: fast-spiking (FS) cells, and low-threshold spiking (LTS) cells of layer 4 in the rat barrel cortex. We also tested two other p

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Hutten, Nadia RPW, Kim PC Kuypers, Janelle HP van Wel, et al. "A single dose of cocaine enhances prospective memory performance." Journal of Psychopharmacology 32, no. 8 (2018): 883–92. http://dx.doi.org/10.1177/0269881118783299.

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Background: Prospective memory is the ability to recall intended actions or events at the right time or in the right context. While cannabis is known to impair prospective memory, the acute effect of cocaine is unknown. In addition, it is not clear whether changes in prospective memory represent specific alterations in memory processing or result from more general effects on cognition that spread across multiple domains such as arousal and attention. Aims: The main objective of the study was, therefore, to determine whether drug-induced changes in prospective memory are memory specific or asso

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Shojaei, Arman, Bijan Boroomand, and Farshid Mossaiby. "A simple meshless method for challenging engineering problems." Engineering Computations 32, no. 6 (2015): 1567–600. http://dx.doi.org/10.1108/ec-06-2014-0131.

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Purpose – The purpose of this paper is to present a simple meshless solution method for challenging engineering problems such as those with high wave numbers or convection-diffusion ones with high Peclet number. The method uses a set of residual-free bases in a local form. Design/methodology/approach – The residual-free bases, called here as exponential basis functions, are found so that they satisfy the governing equations within each subdomain. The compatibility between the subdomains is weakly satisfied by enforcing the local approximation of the main state variables pass through the data a

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Lum, Cecilia S., Yuriy Zhurov, Elizabeth C. Cropper, Klaudiusz R. Weiss, and Vladimir Brezina. "Variability of Swallowing Performance in Intact, Freely Feeding Aplysia." Journal of Neurophysiology 94, no. 4 (2005): 2427–46. http://dx.doi.org/10.1152/jn.00280.2005.

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Variability in nervous systems is often taken to be merely “noise.” Yet in some cases it may play a positive, active role in the production of behavior. The central pattern generator (CPG) that drives the consummatory feeding behaviors of Aplysia generates large, quasi-random variability in the parameters of the feeding motor programs from one cycle to the next; the variability then propagates through the firing patterns of the motor neurons to the contractions of the feeding muscles. We have proposed that, when the animal is faced with a new, imperfectly known feeding task in each cycle, the

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Brantschen, Jeanine, Rosetta Blackman, Jean-Claude Walser, and Florian Altermatt. "A large-scale ecological assessment of Swiss rivers using environmental DNA for the monitoring of macroinvertebrates." ARPHA Conference Abstracts 4 (March 4, 2021): e65307. https://doi.org/10.3897/aca.4.e65307.

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Anthropogenic activities are changing the state of ecosystems worldwide, affecting community composition and often resulting in loss of biodiversity. Riverine ecosystems are among the most impacted ecosystems. Recording their current state with regular biomonitoring is important to assess the future trajectory of biodiversity. However, traditional monitoring methods for ecological assessments are costly and time-intense. Here, we compare environmental DNA (eDNA) to traditional kick-net sampling in a standardized framework of surface water quality assessment. We use surveys of macroinvertebrate

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Nahhas, Omar S. El, Marta Ligero, and Jakob N. Kather. "Abstract 6191: Simultaneous prediction of tumor microenvironment biomarkers from pathology slides using multi-task deep regression." Cancer Research 84, no. 6_Supplement (2024): 6191. http://dx.doi.org/10.1158/1538-7445.am2024-6191.

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Abstract Understanding the Tumor Microenvironment (TME) is crucial for tailoring personalized cancer treatments and improving patient outcomes. Using deep learning, we can predict properties of the TME from standard Hematoxylin and Eosin (H&E) stained slides, including specific gene expression signatures. While past models were limited to single signature predictions, we explore the potential of multi-task deep learning to identify multiple biomarkers at once, allowing more complex relationships and interactions to be modeled simultaneously. Our study focuses on the prediction of expressio

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Kochetov, M. V., A. A. Shepelev, and S. V. Chelyshev. "Possibilities of on-board gravimetric and hydromagnetic survey in solving engineering-geological problems on the shelf." Moscow University Bulletin. Series 4. Geology, no. 3 (August 7, 2023): 88–97. http://dx.doi.org/10.55959/msu0579-9406-4-2023-63-3-88-97.

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This article shows the possibilities of using on-board gravimetry and hydromagnetometry in combination with high-resolution seismic surveys in the framework of site surveys on the Arctic shelf. Geotechnical surveys were carried out in the southern part of the Kara Sea shelf on a study area of 25 km2 in order to identify potentially hazardous areas for setting up a floating drilling rig. The studies were carried out using a regular network of observations, consisting of 51 line and 26 secant profiles. The length of each profile is 5 km. Gravimetric research were carried out with the Chekan-AM m

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Jech, Thomas, and Jiří Witzany. "Full reflection at a measurable cardinal." Journal of Symbolic Logic 59, no. 2 (1994): 615–30. http://dx.doi.org/10.2307/2275413.

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AbstractA stationary subset S of a regular uncountable cardinal κreflects fully at regular cardinals if for every stationary set T ⊆ κ of higher order consisting of regular cardinals there exists an α Є T such that S ∩ α is a stationary subset of α. Full Reflection states that every stationary set reflects fully at regular cardinals. We will prove that under a slightly weaker assumption than κ having the Mitchell order κ++ it is consistent that Full Reflection holds at every λ ≤ κ and κ is measurable.

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Takahashi, Joji. "A saturation property of ideals and weakly compact cardinals." Journal of Symbolic Logic 51, no. 3 (1986): 513–25. http://dx.doi.org/10.2307/2274010.

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Suppose κ is a regular uncountable cardinal, λ is a cardinal > 1, and is a κ-complete uniform ideal on κ. This paper deals with a saturation property Sat(κ, λ, ) of , which is a weakening of usual λ-saturatedness. Roughly speaking, Sat(κ, λ, ) means that can be densely extended to λ-saturated ideals on small fields of subsets of κ. We will show that some consequences of the existence of a λ-saturated ideal on κ follow from weaker ∃: Sat(κ, λ, ), and that ∃: Sat(κ, λ, ) is connected with weak compactness and complete ineffability of κ in much the same way as the existence of a saturated idea

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Deiser, Oliver, та Dieter Donder. "Canonical functions, non-regular ultrafilters and Ulam's problem on ω1". Journal of Symbolic Logic 68, № 3 (2003): 713–39. http://dx.doi.org/10.2178/jsl/1058448434.

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AbstractOur main results are:Theorem 1. Con(ZFC + “every function f: ω1 → ω1 is dominated by a canonical function”) implies Con(ZFC + “there exists an inaccessible limit of measurable cardinals”). [In fact equiconsistency holds.]Theorem 3. Con(ZFC + “there exists a non-regular uniform ultrafilter on ω1”) implies Con(ZFC + “there exists an inaccessible stationary limit of measurable cardinals”).Theorem 5. Con (ZFC + “there exists an ω1-sequence of ω1-complete uniform filters on ω1 s.t. every A ⊆ ω1 is measurable w.r.t. a filter in (Ulam property)”) implies Con(ZFC + “there exists an inaccessibl

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Rutherford, Julia L., Megan B. Stemberger, Rohaan Mahmud, Christina R. Ross, Elizabeth J. White, and Gerald M. Wilson. "Abstract 5634: Tristetraprolin induces an antitumorigenic phenotype in triple negative breast cancer via a novel non-canonical mechanism." Cancer Research 84, no. 6_Supplement (2024): 5634. http://dx.doi.org/10.1158/1538-7445.am2024-5634.

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Abstract The ultimate cause of death for most triple negative breast cancer (TNBC) patients is metastatic disease, which has a five-year survival rate of 12.8%. This low survival rate is partly due to the lack of targeted treatments for metastatic TNBC, resulting from the heterogeneity of the disease. As such, further research is needed to identify novel molecular mechanisms that can be targeted to suppress TNBC malignancy. Tristetraprolin (TTP) is an RNA-binding protein that binds to AU-rich elements (AREs) in the 3’ UTRs of select mRNAs, including many that encode proteins involved in cancer

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Kang Lai, Colwyn Jia, Wei Kit Tan, Marcia Zhang, et al. "Abstract 6316: Predictive performance comparison of foundational and CNN models for single-cell immune profiling." Cancer Research 85, no. 8_Supplement_1 (2025): 6316. https://doi.org/10.1158/1538-7445.am2025-6316.

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Abstract Introduction: Characterizing the immune contexture is key to understanding the tumor microenvironment, developing biomarkers, and guiding therapeutic strategies. In our previous work on colorectal cancer (CRC), we used a pathologist-guided approach to annotate/count eosinophils and lymphocytes. Their abundance and spatial relationships with tumor cells revealed prognostic significance. While clinically valuable, identifying this demands significant pathologist effort. Advancements in AI, particularly foundational models trained on millions of histology images, have driven significant

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Hamant, Kumar Hamant. "Softly normal topological spaces." Acta Ciencia Indica VLI M, no. 2 (2025): 81–84. https://doi.org/10.5281/zenodo.14866870.

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In the present paper, we introduce a weaker version of normality called  softly normality. We will prove that softly normality is a property, which is implied by quasi normality and almost normality. We prove that soft normality is a topological property and it is a hereditary property with respect to closed domain subspace.

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Bersano, Jacqueline, Dorothee Lenhard, and Julia Schueler. "Abstract 67: Blockade of VEGF-A signaling by Bevacizumab did not affect significantly in vivo metastatic dissemination of three colorectal cancer cells with different metastatic potential." Cancer Research 83, no. 7_Supplement (2023): 67. http://dx.doi.org/10.1158/1538-7445.am2023-67.

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Abstract Colorectal cancer (CRC) is one of the deadliest cancers worldwide due to the high occurrence of metastasis in patients. Previous studies demonstrated that soluble factors modulates cancer-associated biological processes, including cell proliferation, angiogenesis and survival. Therefore, the dysregulation of secretory pathways is a crucial driver of CRC progression. This study aims to explore the influence of the microenvironment on the and the impact of the secretome on tumor biology. Initially, we implanted in immune-compromised NSG mice one representative CRC cell line (highly meta

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