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Journal articles on the topic 'Norm intersection'

Author: Grafiati

Published: 3 June 2025

Last updated: 22 June 2025

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1

Lewis, Mark L., and M. Zarrin. "Generalizing Baer’s norm." Journal of Group Theory 22, no. 1 (2019): 157–68. http://dx.doi.org/10.1515/jgth-2018-0031.

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Abstract Let G be a group and n a positive integer. We define {B_{n}(G)} to be the intersection of the normalizers of all the non-n-subnormal subgroups of G. We give a new characterization for nilpotent groups in terms of a series defined via {B_{n}(G)} .

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Deville, Robert. "Un Théorème de Transfert Pour la Propriété des Boules." Canadian Mathematical Bulletin 30, no. 3 (1987): 295–300. http://dx.doi.org/10.4153/cmb-1987-042-4.

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AbstractWe show that, if X and Y are Banach spaces such that X has the Mazur's intersection property and such that there exists T, an operator from Y into X so that T* and T** are injective, then there exists on Y an equivalent norm which has the Mazur's intersection property.We deduce from this result and from a result of M. Talagrand that there exists on the long James space J(η) an equivalent norm which has the Mazur's intersection property.

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Kamrani, Mohsen, Ramin Arvin, and Asad J. Khattak. "Extracting Useful Information from Basic Safety Message Data: An Empirical Study of Driving Volatility Measures and Crash Frequency at Intersections." Transportation Research Record: Journal of the Transportation Research Board 2672, no. 38 (2018): 290–301. http://dx.doi.org/10.1177/0361198118773869.

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With the emergence of high-frequency connected and automated vehicle data, analysts can extract useful information from them. To this end, the concept of “driving volatility” is defined and explored as deviation from the norm. Several measures of dispersion and variation can be computed in different ways using vehicles’ instantaneous speed, acceleration, and jerk observed at intersections. This study explores different measures of volatility, representing newly available surrogate measures of safety, by combining data from the Michigan Safety Pilot Deployment of connected vehicles with crash and inventory data at several intersections. For each intersection, 37 different measures of volatility were calculated. These volatilities were then used to explain crash frequencies at intersection by estimating fixed and random parameter Poisson regression models. Given that volatility reflects the degree to which vehicles move, erratic movements are expected to increase crash risk. Results show that an increase in three measures of driving volatility are positively associated with higher intersection crash frequency, controlling for exposure variables and geometric features. More intersection crashes were associated with higher percentages of vehicle data points (speed & acceleration) lying beyond threshold-bands. These bands were created using mean plus two standard deviations. Furthermore, a higher magnitude of time-varying stochastic volatility of vehicle speeds when they pass through the intersection is associated with higher crash frequencies. These measures can be used to locate intersections with high driving volatilities. A deeper analysis of these intersections can be undertaken, and proactive safety countermeasures considered to enhance safety.

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Acosta, Mariá D., and Manuel Ruiz Galán. "New Characterizations of the Reflexivity in Terms of the Set of Norm Attaining Functionals." Canadian Mathematical Bulletin 41, no. 3 (1998): 279–89. http://dx.doi.org/10.4153/cmb-1998-040-x.

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AbstractAs a consequence of results due to Bourgain and Stegall, on a separable Banach space whose unit ball is not dentable, the set of norm attaining functionals has empty interior (in the norm topology). First we show that any Banach space can be renormed to fail this property. Then, our main positive result can be stated as follows: if a separable Banach space X is very smooth or its bidual satisfies the w*-Mazur intersection property, then either X is reflexive or the set of norm attaining functionals has empty interior, hence the same result holds if X has the Mazur intersection property and so, if the norm of X is Fréchet differentiable. However, we prove that smoothness is not a sufficient condition for the same conclusion.

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Liu, Xiaoting, Huang Shan, and Kefeng Li. "Triangular Norm based Invex Fuzzy Sets." Advances in Engineering Technology Research 1, no. 1 (2022): 198. http://dx.doi.org/10.56028/aetr.1.1.198.

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Zadeh’s convex fuzzy set (CFS for short) have two important properties, (1) fuzzy set (FS for short) is convex iff its cuts are convex, (2) arbitrary intersection of CFSs is a CFS. Generalized CFS, named-invex FS is introduced. Meanwhile, two properties above are generalized into-invex FS.

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ABTAHI, F., H. G. AMINI, H. A. LOTFI, and A. REJALI. "AN ARBITRARY INTERSECTION OF Lp-SPACES." Bulletin of the Australian Mathematical Society 85, no. 3 (2012): 433–45. http://dx.doi.org/10.1017/s0004972711003510.

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AbstractFor a locally compact group G and an arbitrary subset J of [1,∞], we introduce ILJ(G) as a subspace of ⋂ p∈JLp(G) with some norm to make it a Banach space. Then, for some special choice of J, we investigate some topological and algebraic properties of ILJ(G) as a Banach algebra under a convolution product.

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Hermes, Danny. "A 2-norm condition number for Bézier curve intersection." Computer Aided Geometric Design 75 (November 2019): 101791. http://dx.doi.org/10.1016/j.cagd.2019.101791.

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8

Calås, David. ""Don't sow, grow offshoots!"." Art, Culture & Entrepreneurship 1, no. 1 (2023): 7–29. http://dx.doi.org/10.15626/ace.230102.

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This paper considers the intersection of arts, culture, and entrepreneurship (ACE) through a novel lens, drawing on Deleuze and Guattari’s dichotomy of arboreal and rhizomatic knowledge structures. First, existing literature reviews on cultural entrepreneurship and arts entrepreneurship are critically explored. This exploration highlights the predominance of arboreal (tree-like, hierarchical, and genealogical) thinking in current ACE research as well as in conventional practices of doing and presenting literature reviews. As a challenge to this norm, a rhizomatically inspired research agenda for the intersection of ACE is proposed. By discussing the challenges of doing research in a transdisciplinary and intersectional research context, the paper ultimately considers how scholars and practitioners can understand this complexity by embracing Deleuze and Guattari’s rhizomatic principles in future research.

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9

Rasuli, Rasul. "Intuitionistic fuzzy subgroups with respect to norms (T,S)." Engineering and Applied Science Letters 3, no. 2 (2020): 40–53. https://doi.org/10.30538/psrp-easl2020.0040.

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The purpose of this paper is introduce the notion of intuitionistic fuzzy subgroups with respect to norms (t-norm T and s-norm S). Also we introduce intersection and normality of them and investigate some properties of them. Finally, we provide some results of them under group homomorphisms.

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10

Drushlyak, M., and T. Lukashova. "Non-periodic groups with the restrictions on the norm of cyclic subgroups of non-prime order." Matematychni Studii 58, no. 1 (2022): 36–44. http://dx.doi.org/10.30970/ms.58.1.36-44.

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One of the main directions in group theory is the study of the impact of characteristic subgroups on the structure of the whole group. Such characteristic subgroups include different $\Sigma$-norms of a group. A $\Sigma$-norm is the intersection of the normalizers of all subgroups of a system $\Sigma$. The authors study non-periodic groups with the restrictions on such a $\Sigma$-norm -- the norm $N_{G}(C_{\bar{p}})$ of cyclic subgroups of non-prime order, which is the intersection of the normalizers of all cyclic subgroups of composite or infinite order of $G$. It was proved that if $G$ is a mixed non-periodic group, then its norm $N_{G}(C_{\bar{p}})$ of cyclic subgroups of non-prime order is either Abelian (torsion or non-periodic) or non-periodic non-Abelian. Moreover, a non-periodic group $G$ has the non-Abelian norm $N_{G}(C_{\bar{p}})$of cyclic subgroups of non-prime order if and only if $G$ is non-Abelian and every cyclic subgroup of non-prime order of a group $G$ is normal in it, and $G=N_{G}(C_{\bar{p}})$.Additionally the relations between the norm $N_{G}(C_{\bar{p}})$ of cyclic subgroups of non-prime order and the norm $N_{G}(C_{\infty})$ of infinite cyclic subgroups, which is the intersection of the normalizers of all infinite cyclic subgroups, in non-periodic groups are studied. It was found that in a non-periodic group $G$ with the non-Abelian norm $N_{G}(C_{\infty})$ of infinite cyclic subgroups norms $N_{G}(C _{\infty})$ and $N_{G}(C _{\bar{p}})$ coincide if and only if $N_{G}(C _{\infty})$ contains all elements of composite order of a group $G$ and does not contain non-normal cyclic subgroups of order 4.In this case $N_{G}(C_{\bar {p}})=N_{G}(C_{\infty})=G$.

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11

De Man, George. "Approaching an Intersection." AMERICANA E-journal of American Studies in Hungary 20, no. 2 (2024): 70–78. https://doi.org/10.14232/americana.2024.2.70-78.

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One of the more familiar challenges of teaching first-year university students is fostering their initiative to take part in class discussion. In the EFL classroom, discussion activities are rightly valued as opportunities for language practice. Less obvious, in contrast, may be the ways that the process of acculturation to college classroom norms intersects with second language difficulties, especially among first-generation college students who comprise a sizable demographic in the Hungarian university population. Pragmatics instruction, it will be argued, has a role to play in helping empower students to express their ideas and opinions in the company of their peers and instructors. However, supplying students with a lexical “toolkit” and peer-to-peer scenarios is only a first step in this direction. Indeed, it is precisely because the college experience is for many “first gens” a form of culture shock that the norm-disrupting potential of North American humor can be as important as modeling the myriad ways English speakers can verbally negotiate awkward or unfamiliar situations. Best practices for supporting first-year student engagement and success, as piloted at U.S.-based higher education institutions will also be explored.

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12

Wang, Junxin, and Xiuyun Guo. "On the Norm of Finite Groups." Algebra Colloquium 14, no. 04 (2007): 605–12. http://dx.doi.org/10.1142/s1005386707000557.

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The norm N(G) of a group G is the intersection of normalizers of all the subgroups of G. Let G be a finite group, p a prime dividing the order of G, and P a Sylow p-subgroup of G. In this paper, it is proved that G is p-nilpotent if Ω1(P) ≤ N(NG(P)), and when p=2, [Formula: see text]. Some applications of this result are given. Finally, a class of finite p-groups in which the index of the norm is exactly p is described.

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NIMANA, NIMIT, and NATTHAPHON ARTSAWANG. "A strongly convergent simultaneous cutter method for finding the minimal norm solution to common fixed point problem." Carpathian Journal of Mathematics 40, no. 1 (2023): 155–71. http://dx.doi.org/10.37193/cjm.2024.01.11.

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In this paper, we propose a strongly convergent simultaneous cutter method for finding the min- imal norm solution over the intersection of fixed point sets of cutters. The proposed method is the combination of the simultaneous cutter method and the strongly variance of Krasnosel’ski˘ı-Mann method. We show a strong convergence result of the sequence generated by the proposed method to the unique minimal norm solution. We finally present the numerical experiments on the minimal norm solution over a finite number of linear feasibility problem.

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Lantis, Jeffrey S., and Carmen Wunderlich. "Resiliency dynamics of norm clusters: Norm contestation and international cooperation." Review of International Studies 44, no. 3 (2018): 570–93. http://dx.doi.org/10.1017/s0260210517000626.

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AbstractThis study examines the effects of contestation on individual norms that are embedded in larger norm clusters. We define norm clusters as collections of aligned, but distinct norms or principles at the center of a regime. Norm clusters include multiple norms that can be insulated from contestatory challenges by degrees of cohesion, institutionalisation, and legalisation. While some constructivists argue that the most important dynamic to study is ‘robustness’ of individual norms, we contend that ‘resiliency’ of norm clusters offers a richer assessment of prospects for international cooperation and long-term impact on state behaviours. Thus, this study distinguishes conceptually between different structural layers that can generate various effects in conjunction with norm contestation. We add a third, or intervening layer of explanation with norm clusters, between the intersection of norms (lowest layer) and normative structures (broadest layer). To explore this argument, comparative case studies examine the resiliency of two prohibitionary norms – the nuclear disarmament norm within the non-proliferation regime and the norm banning assassination of foreign adversaries, which is not embedded in a regime structure. While the robustness of individual norms may be challenged, our results suggest a role for resilient structures in promoting overall longevity of norm clusters.

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15

Whitfield, J. H. M., and V. Zizler. "Mazur's intersection property of balls for compact convex sets." Bulletin of the Australian Mathematical Society 35, no. 2 (1987): 267–74. http://dx.doi.org/10.1017/s0004972700013228.

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We show that every compact convex set in a Banach space X is an intersection of balls provided the cone generated by the set of all extreme points of the dual unit ball of X* is dense in X* in the topology of uniform convergence on compact sets in X. This allows us to renorm every Banach space with transfinite Schauder basis by a norm which shares the mentioned intersection property.

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S., Thongarsa P. Burandate and A. Iampan. "Some operations of fuzzy sets in UP-algebras with respect to a triangular norm." Annals of Communications in Mathematics 2, no. 1 (2019): 1–10. https://doi.org/10.5281/zenodo.10041613.

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This paper aim is to apply the notions of the intersection and the union of any fuzzy set to UP-algebras. We investigate properties of the intersection and the union of T-fuzzy UP-subalgebras, T-fuzzy near UP-filters, T-fuzzy UP-filters, T-fuzzy UPideals, T-fuzzy strongly UP-ideals, anti-T-fuzzy UP-subalgebras, and anti-T-fuzzy near UP-filters of UP-algebras.

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Lukashova, Tetyana, Fedir Lyman, and Marina Drushlyak. "On the non-cyclic norm in non-periodic groups." Asian-European Journal of Mathematics 13, no. 05 (2019): 2050092. http://dx.doi.org/10.1142/s1793557120500928.

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The authors study non-periodic locally soluble by finite groups with the non-Dedekind norm of non-cyclic subgroups, which is the intersection of normalizes of all non-cyclic subgroups of a group. It is found that all non-cyclic subgroups are normal in these groups. Their structure is described.

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Rasuli, Rasul. "Complex intuitionistic fuzzy Lie subalgebras under norms." Notes on Intuitionistic Fuzzy Sets 31, no. 1 (2025): 15–38. https://doi.org/10.7546/nifs.2025.31.1.15-38.

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The purpose of this paper is to define the concepts of complex intuitionistic fuzzy Lie subalgebras and complex intuitionistic fuzzy Lie ideals with respect to norms (t-norm T and s-norm S) of Lie subalgebras and discuss their relationship them with Lie subalgebras and Lie ideals. Next we define the intersection, sum and homomorphism of them and we describe some of the basic and master properties of them.

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Lukashova, T. D., M. G. Drushlyak, and A. V. Pidopryhora. "Torsion Groups with the Norm of pd-Subgroup of Finite Index." Researches in Mathematics 32, no. 1 (2024): 110. http://dx.doi.org/10.15421/242410.

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The authors study the relations between the properties of torsion groups and their norms of $pd$-subgroups. The norm $N_G^{pdI}$ of $pd$-subgroups of a group $G$ is the intersection of the normalizers of all its $pd$-subgroups or a group itself, if the set of such subgroups is empty in a group. The structure of the norm of $pd$-subgroups in torsion groups is described and the conditions of Dedekindness of this norm is proved (Dedekind group is a group in which all subgroups are normal). It is proved that a torsion group is a finite extension of its norm of $pd$-subgroups if and only if it is a finite extension of its center. By this fact and the structure of the norm of $pd$-subgroups, we get that any torsion group that is a finite extension of this norm is locally finite.

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Liu, Hongying, Hao Wang, and Mengmeng Song. "Projections onto the Intersection of a One-Norm Ball or Sphere and a Two-Norm Ball or Sphere." Journal of Optimization Theory and Applications 187, no. 2 (2020): 520–34. http://dx.doi.org/10.1007/s10957-020-01766-y.

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Guo, Xiuyun, and Xiaohong Zhang. "On the Norm and Wielandt Series in Finite Groups." Algebra Colloquium 19, no. 03 (2012): 411–26. http://dx.doi.org/10.1142/s1005386712000272.

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The norm N(G) of a group G is the intersection of the normalizes of all the subgroups of G. A group is called capable if it is a central factor group. In this paper, we give a necessary and sufficient condition for a capable group to satisfy N(G)=ζ(G), and then some sufficient conditions for a capable group with N(G)=ζ(G) are obtained. Furthermore, we discuss the norm of a nilpotent group with cyclic derived subgroup.

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DURAND, ARNAUD. "Sets with large intersection and ubiquity." Mathematical Proceedings of the Cambridge Philosophical Society 144, no. 1 (2008): 119–44. http://dx.doi.org/10.1017/s0305004107000746.

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AbstractA central problem motivated by Diophantine approximation is to determine the size properties of subsets of$\R^d$ ($d\in\N$)of the formwhere ‖⋅‖ denotes an arbitrary norm,Ia denumerable set, (xi,ri)i∈ Ia family of elements of$\R^d\$× (0, ∞) and ϕ a nonnegative nondecreasing function defined on [0, ∞). We show that ifFId, where Id denotes the identity function, has full Lebesgue measure in a given nonempty open subsetVof$\R^d\$, the setFϕbelongs to a class Gh(V) of sets with large intersection inVwith respect to a given gauge functionh. We establish that this class is closed under countable intersections and that each of its members has infinite Hausdorffg-measure for every gauge functiongwhich increases faster thanhnear zero. In particular, this yields a sufficient condition on a gauge functiongsuch that a given countable intersection of sets of the formFϕhas infinite Hausdorffg-measure. In addition, we supply several applications of our results to Diophantine approximation. For any nonincreasing sequenceψof positive real numbers converging to zero, we investigate the size and large intersection properties of the sets of all points that areψ-approximable by rationals, by rationals with restricted numerator and denominator and by real algebraic numbers. This enables us to refine the analogs of Jarník's theorem for these sets. We also study the approximation of zero by values of integer polynomials and deduce several new results concerning Mahler's and Koksma's classifications of real transcendental numbers.

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Mejeur, Cody, and Amanda Cote. "Who Gets to Be in The Guild?" Loading 14, no. 24 (2022): 70–89. http://dx.doi.org/10.7202/1084839ar.

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While media studies have frequently assessed the importance of representation, research in this area has often been siloed by institutional and methodological norms that define academics as “gender”, “race”, or “class” scholars, rather than inclusive scholars of all these and more. This paper thus responds to recent calls for more intersectional work by simultaneously addressing the overlapping representations of race, gender, and gamer identity, and their relation to Lorde’s concept of the mythical norm, in the popular webseries, The Guild (YouTube, 2007-2013). Via a detailed, inductive thematic analysis of the show’s two characters of color, Zaboo and Tinkerballa, we find a doubly problematic intersection between standard “gamer identity” tropes and gendered Asian/American stereotypes. The show forecloses on its potential to be truly diverse and reinforces the oppressive, marginalizing practices it tries to mock, suggesting that gaming culture will not change until we address its intersecting axes of power and exclusion. This research also demonstrates how the constructed identity of media audiences-- in this case, stereotypical “gamer” identity-- can exacerbate and reaffirm existing power disparities in representation. We suggest that media scholars remain attentive to the intersecting articulations of media consumer and individual identities in considering how representation can influence systems of inclusion and exclusion, as well as viewers’ lived outcomes.

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Lima, Åsvald. "The metric approximation property, norm-one projections and intersection properties of balls." Israel Journal of Mathematics 84, no. 3 (1993): 451–75. http://dx.doi.org/10.1007/bf02760953.

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SHEN, ZHENCAI, and SHIRONG LI. "ON THE $\mathcal {F}$-RESIDUALS NORM OF A GROUP." Journal of Algebra and Its Applications 13, no. 04 (2014): 1350132. http://dx.doi.org/10.1142/s0219498813501326.

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Let [Formula: see text] be a formation and for a group G, we define [Formula: see text] be the intersection of the normalizers of the [Formula: see text]-residuals of all subgroups of G. Similar to the ascending center series, set [Formula: see text] and define [Formula: see text] for i ≥ 1. By [Formula: see text] denote the terminal term of the ascending series. In this paper, we give some applications on the subgroup [Formula: see text] when [Formula: see text] is the class of all abelian groups or the class of all nilpotent groups.

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Vasil'eva, Anastasia Andreevna. "Estimates for the Kolmogorov widths of an intersection of two balls in a mixed norm." Sbornik: Mathematics 215, no. 1 (2024): 74–89. http://dx.doi.org/10.4213/sm9877e.

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Rasuli, Rasul. "Intuitionistic fuzzy G-modules with respect to norms (T and S)." Notes on Intuitionistic Fuzzy Sets 29, no. 3 (2023): 277–91. http://dx.doi.org/10.7546/nifs.2023.29.3.277-291.

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In this paper, we introduced intuitionistic fuzzy G-modules on M under norms (t-norm T and s-conorm S) and some related results like intersection, sum and direct sum of them has also been discussed. Also some of their properties have been investigated under G-module homomorphisms.

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KOPRINKOVA-HRISTOVA, PETIA. "BACKPROPAGATION THROUGH TIME TRAINING OF A NEURO-FUZZY CONTROLLER." International Journal of Neural Systems 20, no. 05 (2010): 421–28. http://dx.doi.org/10.1142/s0129065710002504.

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The paper considers gradient training of fuzzy logic controller (FLC) presented in the form of neural network structure. The proposed neuro-fuzzy structure allows keeping linguistic meaning of fuzzy rule base. Its main adjustable parameters are shape determining parameters of the linguistic variables fuzzy values as well as that of the used as intersection operator parameterized T-norm. The backpropagation through time method was applied to train neuro-FLC for a highly non-linear plant (a biotechnological process). The obtained results are discussed with respect to adjustable parameters rationality. Conclusions are made with respect to the appropriate intersection operations too.

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Bozorov, Otabek. "Competent Approach To Training Future Speech Therapists." American Journal of Social Science and Education Innovations 03, no. 04 (2021): 488–91. http://dx.doi.org/10.37547/tajssei/volume03issue04-78.

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A high-level professional can be considered a speech therapist who knows the norm! speech therapy correctional pedagogical activity, changes and develops his personality in the process of professional activity, the specificity of which is its multidisciplinary nature: a speech therapist works at the intersection of pedagogy, medicine, speech therapy, psychology and other scientific areas.

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Taddele, Guash Haile, and Songpon Sriwongsa. "An Approximation Technique for General Split Feasibility Problems Based on Projection onto the Intersection of Half-spaces." Nonlinear Convex Analysis and Optimization: An International Journal on Numerical, Computation and Applications 2, no. 1 (2023): 1–29. http://dx.doi.org/10.58715/ncao.2023.2.1.

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This paper presents a novel relaxed CQ algorithm for solving the multiple-sets split feasibility problem with multiple output sets (MSSFPMOS) in infinite-dimensional real Hilbert spaces. The proposed method replaces the projection to half-space with the projection to the intersection of two half-spaces, resulting in accelerated convergence by utilizing previous half-spaces. The present study introduces a novel algorithm that dynamically determines the stepsize, without any a priori knowledge of the operator norm required. Furthermore, the algorithm is proven to exhibit strong convergence to the minimum-norm solution of the MSSFPMOS. Finally, a number of numerical experiments have been conducted to showcase the impressive performance of the proposed algorithm.

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PANDEY, SATISH K., and VERN I. PAULSEN. "A SPECTRAL CHARACTERIZATION OF OPERATORS." Journal of the Australian Mathematical Society 102, no. 3 (2016): 369–91. http://dx.doi.org/10.1017/s1446788716000239.

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We establish a spectral characterization theorem for the operators on complex Hilbert spaces of arbitrary dimensions that attain their norm on every closed subspace. The class of these operators is not closed under addition. Nevertheless, we prove that the intersection of these operators with the positive operators forms a proper cone in the real Banach space of hermitian operators.

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Angel, Garrido. "BRAIN Journal - Triangular Norms, Triangular Conorms, and Some Related Concepts." BRAIN. Broad Research in Artificial Intelligence and Neuroscience 2, no. 1 (2011): 59–62. https://doi.org/10.5281/zenodo.1041365.

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ABSTRACT Mathematically considered, a Triangular Norm is a kind of binary operation frequently used in the context of Probabilistic Metric Spaces, but also in other very interesting fields, as may be Fuzzy Logic, or in general, in Multi-Valued Logic (MVL). The T-conorm, or S-norm, is a dual concept. Both ideas allow us to generalize the intersection and the union in a Lattice, or disjunction and conjunction in Logic. Also may be very interesting to introduce a special class of real monotone operations. We refer to the so-called Copulas, very useful in many fields. So, we offer now a comprehensive analysis of all these aggregation operators.

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Rasuli, Rasul. "Norms on intuitionistic fuzzy multigroups." Yugoslav Journal of Operations Research, no. 00 (2020): 33. http://dx.doi.org/10.2298/yjor200318033r.

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In this paper, we propose the notion of intuitionistic fuzzy multigroups under norms (t-norm T and t-conorm C) and study the variety of their algebraic structure. Next, we define the inverse, product, intersection and the sum of them. Also, we explored some of their properties and got the related results. Finally, under group homomorphisms, image and pre image of them are introduced and investigated.

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Millmark, Suzanne, Annika Vänje, and Kristina Palm. "Living up to the ideal worker norm: a critical case study about women with invisible disabilities working from home." Equality, Diversity and Inclusion: An International Journal 44, no. 9 (2025): 144–58. https://doi.org/10.1108/edi-10-2024-0499.

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PurposeThe study aims to critically explore, from an organisational perspective, the intersections between where work takes place, invisible disabilities, gender and the prevailing norms around work within a public organisation.Design/methodology/approachTen participants between 34 and 60 years old, including employees with disabilities, managers with and without disabilities and human resource (HR) officers, shared their experiences of working from home in Sweden. The study used semi-structured interviews, photo-elicitation interviews, a written diary and policy analysis. A thematic analysis was performed.FindingsThe study shows that working from home was perceived as an important workplace accommodation and an individual strategy about conforming to the norm and living up to the concept of the ideal worker. The organisation did not actively work on disability-related issues. There was also a lack of competence and structure.Practical implicationsIt is important to challenge the ideal worker norm and create organisational competence about the intersection of gender, disability and workplace location to create a sense of inclusion among employees.Originality/valueThe study highlights the complexity faced by women employees with invisible disabilities when deciding where to perform work (home or co-located office) and explores HR officers' and managers’ experiences regarding working with the inclusion of employees with invisible disabilities.

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Cordova, Amanda Jo, and Lisa Mendoza Knecht. "Liminal Knowledge: Positioning Intersectionality in Academia." Cultural Studies ↔ Critical Methodologies 19, no. 3 (2018): 203–13. http://dx.doi.org/10.1177/1532708618819635.

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This qualitative inquiry explores what Chicana/o doctoral students in an Educational Leadership program perceive about the positioning of the intersection of their gender, race, and ethnicity in relationship to their academic advancement and leadership development. Chicana feminist epistemology (CFE) grounds this study to invigorate the interrogation of dualities imposed by binary social constructs of male/female, Chicana/Chicano, and Chicana/o/White. Testimonio accounts of three Chicana/o doctoral students reveal a liminal space of knowledge where the daily experiences of choques or cultural collisions are revealed as the norm of academic life. We assert, that by tapping this vital source of liminal knowledge, we can re-position the intersections of our identity as aspiring educational leaders to re-articulate, re-imagine, and claim spaces of leadership informed by a mestiza consciousness1 that is inclusive of the many layers of our intersectionality.

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Goldman, Danielle. "Ghostcatching: An Intersection of Technology, Labor, and Race." Dance Research Journal 36, no. 1 (2004): 68–87. http://dx.doi.org/10.1017/s0149767700007579.

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For the past few years, critics, fans, and even Bill T. Jones himself have been talking about the artist's move from explicitly political, identity-based works to an investigation of aesthetics and pure movement. They talk about the more conventional makeup of Jones's current ensemble—the fact that Lawrence Goldhuber and Alexandra Beller are no longer in the company, dancers described in theNew York Timesas “imperfect” because “chubbier than the norm” (Dunning 2002). They discuss the fact that Jones rarely uses text these days and is no longer confrontational. He dances to Beethover and performs at Lincoln Center with the Chamber Music Society. In a 1997 mterview with Richard Covington, Jones explains this shift in his work by stating, “It's not quite as sexy to talk about. What was being said in those earlier works was as important as how it was being danced. Here, I'm trying to think about how it's danced first, trusting that the political, social, all those things are in our bodies literally, and in the eyes of the beholder” (Covington 1997).

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Oja, E., and M. Põldvere. "Intersection properties of ball sequences and uniqueness of Hahn–Banach extensions." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 129, no. 6 (1999): 1251–62. http://dx.doi.org/10.1017/s0308210500019375.

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Let X be a Banach space and Y a closed subspace. We introduce an intrinsic geometric property of Y—the k-ball sequence property—which is a weakening of the famous k-ball property due to Alfsen & Effros. We prove that Y satisfies the 2-ball sequence property if and only if Y has the Phelps uniqueness property U (i.e. every continuous linear functional g ∈Y* has a unique norm-preserving extension f ∈X*). We prove that Y is an ideal having property U if and only if Y satisfies the 3-ball sequence property, and in this case, Y satisfies the k-ball sequence property for all k.

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Mikoni, S. V. "Modeling deviations of object quality indicators from the norm." Ontology of Designing 14, no. 2 (2024): 167–80. http://dx.doi.org/10.18287/2223-9537-2024-14-2-167-180.

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The concept of a norm on the scale of an object's quality indicator in the context of determining the most preferable object or its state is explored. The notions of permissible and maximum permissible deviations from the norm are uti-lized, with maximum permissible deviations defining the boundaries of the indicator scale. The fundamental version of the norm is represented as a segment on the indicator scale that excludes these boundaries. Point and semi-interval norms (“no more”, “no less”) are considered special cases of the interval norm, where the semi-interval norm reflects the alignment of the original interval norm's boundary with the indicator scale's boundary. For certain indicators, devia-tion in one direction from the norm is not only acceptable but also beneficial. An indicator satisfying this condition is termed optimized, while an indicator with undesirable deviations from both ends of the norm is termed neutral. In the model of belonging to the norm, three classes are distinguished: “norm”, “no more” and “no less” than the norm. Piecewise linear and nonlinear membership functions for these classes are proposed. In the nonlinear model, the boundaries of the interval norm are expanded to acceptable limits, leading to the intersection of membership functions of adjacent classes. Classification into these three classes is conducted separately for neutral and optimized indicators. Interpreting deviations from the norm, both unacceptable and acceptable, necessitates introducing two fictitious clas-ses: “worse than the norm” and “better than the norm.” These classes are formed from the “not less than” and “not more than” classes. To calculate the membership function for each class across all indicators, a weighted average func-tion is employed. Aggregated indices of belonging to the classes “norm,” “better than norm,” and “worse than norm” across all indicators are referred to as indices of stability, development, and deterioration of an object, respectively. These indices are used for a comprehensive assessment of the object, termed an indicator of its condition. An example of analyzing deviations from the norm, implemented in the modified SVIR-M selection and ranking system, is provid-ed.

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Paulavičius, Remigijus, and Julius Žilinskas. "IMPROVED LIPSCHITZ BOUNDS WITH THE FIRST NORM FOR FUNCTION VALUES OVER MULTIDIMENSIONAL SIMPLEX." Mathematical Modelling and Analysis 13, no. 4 (2008): 553–63. http://dx.doi.org/10.3846/1392-6292.2008.13.553-563.

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A branch and bound algorithm for global optimization is proposed, where the maximum of an upper bounding function based on Lipschitz condition and the first norm over a simplex is used as the upper bound of function. In this case the graph of bounding function is intersection of n‐dimensional pyramids and its maximum point is found solving a system of linear equations. The efficiency of the proposed global optimization algorithm is evaluated experimentally.

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Васильева, Анастасия Андреевна, and Anastasia Andreevna Vasil'eva. "Kolmogorov Widths of the Intersection of Two Finite-Dimensional Balls in a Mixed Norm." Matematicheskie Zametki 113, no. 4 (2023): 584–86. http://dx.doi.org/10.4213/mzm13793.

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Vasil’eva, A. A. "Kolmogorov Widths of the Intersection of Two Finite-Dimensional Balls in a Mixed Norm." Mathematical Notes 113, no. 3-4 (2023): 584–86. http://dx.doi.org/10.1134/s000143462303029x.

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HU, BIN, JIANHONG HUANG та ALEXANDER N. SKIBA. "ON THE σ-NILPOTENT NORM AND THE σ-NILPOTENT LENGTH OF A FINITE GROUP". Glasgow Mathematical Journal 63, № 1 (2020): 121–32. http://dx.doi.org/10.1017/s0017089520000051.

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AbstractLet G be a finite group and σ = {σi| i ∈ I} some partition of the set of all primes $\Bbb{P}$ . Then G is said to be: σ-primary if G is a σi-group for some i; σ-nilpotent if G = G1× … × Gt for some σ-primary groups G1, … , Gt; σ-soluble if every chief factor of G is σ-primary. We use $G^{{\mathfrak{N}}_{\sigma}}$ to denote the σ-nilpotent residual of G, that is, the intersection of all normal subgroups N of G with σ-nilpotent quotient G/N. If G is σ-soluble, then the σ-nilpotent length (denoted by lσ (G)) of G is the length of the shortest normal chain of G with σ-nilpotent factors. Let Nσ (G) be the intersection of the normalizers of the σ-nilpotent residuals of all subgroups of G, that is, $${N_\sigma }(G) = \bigcap\limits_{H \le G} {{N_G}} ({H^{{_\sigma }}}).$$ Then the subgroup Nσ (G) is called the σ-nilpotent norm of G. We study the relationship of the σ-nilpotent length with the σ-nilpotent norm of G. In particular, we prove that the σ-nilpotent length of a σ-soluble group G is at most r (r > 1) if and only if lσ (G/ Nσ (G)) ≤ r.

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Santos, Anabela, Carla Cerqueira, and Rosa Cabecinhas. "Between the norm and the exception: gender asymmetries in portuguese newsmagazines." Comunicação e Sociedade 27 (June 29, 2015): 457–74. http://dx.doi.org/10.17231/comsoc.27(2015).2112.

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This paper, which is informed by a feminist perspective, presents an analysis of the gender representations that emerge in the Portuguese newsmagazines, focusing in particular on their intersection with the thematic profile of this type of medium. The results suggest that these publications tend to favour representational paradigms that are consistent with the ‘benevolent sexism’. While men are represented as holders of power and agents of influence, women are portrayed as individuals that depend on the mentoring of their male counterparts in the exercise of leadership. The Portuguese newsmagazines thus invisibilise the diversity of identities and experiences, encouraging the perpetuation of androcentric values and unequal power relations.

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GARCÍA-HONRADO, ITZIAR, ENRIC TRILLAS, and CLAUDI ALSINA. "ON A CONDITIONAL-CONJUNCTIVE LAW WITH FUZZY SETS — SHORT NOTE." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 21, no. 01 (2013): 1–8. http://dx.doi.org/10.1142/s0218488513500013.

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This short paper is devoted to study the law (μ → σ) · λ ≤ μ → σ·λ, with fuzzy sets μ, σ, and λ, in the case the conditional → is functionally expressible by a numerical function J, and the intersection · is functionally expressible by a continuous t-norm T. That is, it deals with the functional inequality T(J(a,b),c) ≤ J(a,T(b,c)) in the unknowns T and J.

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Voorhoeve, Maaike. "Informal Transactions with the Police." Middle East Law and Governance 6, no. 2 (2014): 70–92. http://dx.doi.org/10.1163/18763375-00602001.

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This article examines the intersection between, on the one hand, informal transactions with the police and, on the other, ‘sex crimes.’ Although prohibited by law, informal transactions have not been eradicated from the dealing between the police and civilians in Tunisia. Such transactions take place in case people have violated the law, but also, as this paper shows, when people have committed a ‘crime’ that is not described by legislation. In these cases, extra-legislative, informal norms are at play in two ways: the informal norm prescribing ‘paying off’ the police officer, and the informal norm prohibiting a certain dealing between the sexes. By describing the workings of such transactions in detail, this article presents an insight in what Blundo and De Sardan call the ‘état du quotidien’ in Tunisia under the authoritarian regime.

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WANG, WEIZE, and XINWANG LIU. "SOME OPERATIONS OVER ATANASSOV'S INTUITIONISTIC FUZZY SETS BASED ON EINSTEIN T-NORM AND T-CONORM." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 21, no. 02 (2013): 263–76. http://dx.doi.org/10.1142/s0218488513500141.

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We define some operations over Atanassov's intuitionistic fuzzy sets (AIFSs), such as Einstein intersection, Einstein product, Einstein scalar multiplication and Einstein exponentiation, etc., and then define new concentration and dilation of AIFSs. These definitions will be useful while dealing with various linguistic hedges like “very”, “more or less”, “highly”, “very very” etc., involved in the problems under intuitionistic fuzzy environment. We also prove some propositions and present some examples in this context.

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Sevilla, M. Jiménez, and J. P. Moreno. "On denseness of certain norms in Banach spaces." Bulletin of the Australian Mathematical Society 54, no. 2 (1996): 183–96. http://dx.doi.org/10.1017/s0004972700017640.

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We give several results dealing with denseness of certain classes of norms with many vertex points. We prove that, in Banach spaces with the Mazur or the weak* Mazur intersection property, every ball (convex body) can be uniformly approximated by balls (convex bodies) being the closed convex hull of their strongly vertex points. We also prove that given a countable set F, every norm can be uniformly approximated by norms which are locally linear at each point of F.

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Vasil'eva, Anastasia Andreevna. "Estimates for the Kolmogorov widths of an intersection of two balls in a mixed norm." Математический сборник 215, no. 1 (2023): 82–98. http://dx.doi.org/10.4213/sm9877.

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Ryan, Irene, and Geoff Dickson. "The invisible norm: An exploration of the intersections of sport, gender and leadership." Leadership 14, no. 3 (2016): 329–46. http://dx.doi.org/10.1177/1742715016674864.

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The gender leadership problem is not the underrepresentation of women, but the dominant presence of groups of men and valued forms of masculinities. We argue that critical leadership studies would benefit by considering sport to explain the nuanced relationships between leadership, sport, men and masculinity and the ensuing invisible norms that marginalise women. In doing so, we respond to calls for critical leadership scholars to examine situated power relations in more reflexive and innovative ways. Sport influences, and is influenced by, the inequalities of gender, class, age and race. The intersection of sport, leadership and gender provides an otherwise unavailable insight into what is normalised, men and the masculine subtext of leadership We examine New Zealand’s relationship with Rugby Union to achieve both of these aims. We conclude that Rugby is anything but benign or irrelevant when it comes to understanding gender and leadership in New Zealand.

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De Falco, Maria, Francesco de Giovanni, Leonid A. Kurdachenko, and Carmela Musella. "The metanorm, a characteristic subgroup: Embedding properties." Journal of Group Theory 21, no. 5 (2018): 847–64. http://dx.doi.org/10.1515/jgth-2018-0020.

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AbstractThenormof a group was introduced by R. Baer as the intersection of all normalizers of subgroups, and it was later proved that the norm is always contained in the second term of the upper central series of the group. The aim of this paper is to study embedding properties of themetanormof a group, defined as the intersection of all normalizers of non-abelian subgroups. The metanorm is related to the so-calledmetahamiltonian groups, i.e. groups in which all non-abelian subgroups are normal, and it is known that every locally graded metahamiltonian group is finite over its second centre. Among other results, it is proved here that ifGis a locally graded group whose metanormMis not nilpotent, then{M^{\prime}/M^{\prime\prime}}is a small eccentric chief factor and it is the only obstruction to a strong hypercentral embedding ofMinG.

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