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New walking studies have been concerned with the multiplicity of pedestrian experiences. Some consider walking as an activity that unfolds as part of social life, allowing people to create relationships with others, where multiple walking types can be identified depending on these relations. Some contributions, inspired by actor-network theory (ANT), suggest understanding this activity through a networked perspective that associates human and non-human actors, with a focus on their various and dynamic relations between them. The focus on stabilized networks, which emphasizes the recurrence of these relations, helps in identifying and extending the multiplicity of walking activity experience and emerging types. Despite this potential, ANT contributions are still limited. This paper aims to present the ANT potential in unpacking the multiplicity of the walking activity. It utilizes the case of Dahiyat Al Hussain park in Jordan and applies an ANT-inspired ethnographic approach to unpack walking. It uses desk research, in-depth interviews, go-along interviews, and observations to engage with participants' views and experiences. By tracing the recurring relational patterns, the paper identifies three instances when walking practice can be considered as stabilized during network shaping, transformation, and interrelations. These stabilizations provide a nuanced perspective into the multiplicity of walking practices. [ABSTRACT FROM AUTHOR]

We consider the following generalized Chern–Simons–Schrödinger system in R 2 - Δ u + (λ V (x) - μ) u + A 0 u + ∑ j = 1 2 A j 2 u = f (x , u) , ∂ 1 A 2 - ∂ 2 A 1 = - 1 2 | u | 2 , ∂ 1 A 1 + ∂ 2 A 2 = 0 , A 1 ∂ 1 u + A 2 ∂ 2 u = 0 , ∂ 1 A 0 = A 2 | u | 2 , ∂ 2 A 0 = - A 1 | u | 2 , where λ > 0 is a parameter, V ∈ C (R 2 , R +) has a potential well Ω ≜ int V - 1 (0) , μ ∉ { μ j } j = 1 ∞ with { μ j } j = 1 ∞ being the eigenvalues of (- Δ , H 0 1 (Ω)) . If μ < μ 1 , we obtain the existence and concentrating behaviour of ground state solutions for λ sufficiently large under some suitable assumptions on f having critical exponential growth at infinity. Let μ ∈ (μ j 0 , μ j 0 + 1) for some j 0 ∈ N + , employing the Morse theory, linking argument and the symmetric mountain-pass theorem, we are concerned with the existence and multiplicity of nontrivial solutions for sufficiently large λ when f has a subcritical exponential growth at infinity. [ABSTRACT FROM AUTHOR]

We establish the existence of infinitely many regular weak solutions of the prescribed mean curvature problem - div (∇ u / 1 + | ∇ u | 2 ) = f (x , u) in Ω , B u = 0 on ∂ Ω , where Ω is a bounded domain in R N , with a regular boundary ∂ Ω , B is either the Dirichlet, or the Neumann, or the mixed boundary operator, the function f(x, s) is odd with respect to s ∈ R and has a potential F (x , s) = ∫ 0 s f (x , t) d t , which is desultorily subquadratic at s = 0 , locally with respect to x ∈ Ω . Our findings improve and extend in various directions the previous results obtained in the literature. [ABSTRACT FROM AUTHOR]

We investigate the Castelnuovo–Mumford regularity and the multiplicity of the toric ring associated with a three-dimensional Ferrers diagram. In particular, in the rectangular case, we provide direct formulas for these two important invariants. Then, we compare these invariants for an accompanying pair of Ferrers diagrams under some mild conditions and bound the Castelnuovo–Mumford regularity for more general cases. [ABSTRACT FROM AUTHOR]

Given coprime positive integers g 1 < … < g e , the Frobenius number F = F (g 1 , … , g e) is the largest integer not representable as a linear combination of g 1 , … , g e with non-negative integer coefficients. Let n denote the number of all representable non-negative integers less than F; Wilf conjectured that F + 1 ≤ e n . We provide bounds for g 1 and for the type of the numerical semigroup S = ⟨ g 1 , … , g e ⟩ in function of e and n, and use these bounds to prove that F + 1 ≤ q e n , where q = ⌈ F + 1 g 1 ⌉ , and F + 1 ≤ e n 2 . Finally, we give an alternative, simpler proof for the Wilf conjecture if the numerical semigroup S = ⟨ g 1 , … , g e ⟩ is almost-symmetric. [ABSTRACT FROM AUTHOR]

We propose a mu ltiple c ohort e xpansion (MUCE) approach as a design or analysis method for phase 1b multiple expansion cohort trials, which are novel first-in-human studies conducted following phase 1a dose escalation. In a phase 1b expansion cohort trial, one or more doses of a new investigational drug identified from phase 1a are tested for initial antitumour activities in patients with different indications (cancer types and/or biomarker status). Each dose–indication combination defines an arm, and patients are enrolled in parallel cohorts to all the arms. The MUCE design is based on a class of Bayesian hierarchical models that adaptively borrow information across arms. Specifically, we employ a latent probit model that allows for different degrees of borrowing across doses and indications. Statistical inference is directly based on the posterior probability of each arm being efficacious, facilitating the decision making that decides which arm to select for further testing. The MUCE design also incorporates interim looks, based on which the nonpromising arms will be stopped early due to futility. Through simulation studies, we show that MUCE exhibits superior operating characteristics. We also compare the performance of MUCE with that of Simon's two-stage design and some existing Bayesian designs for multiarm trials. To our knowledge, MUCE is the first Bayesian method for phase 1b expansion cohort trials with multiple doses and indications. [ABSTRACT FROM AUTHOR]

The multiple steady states of Ag/Bi2212-composite high- T c superconducting leads modeling current delivery to a superconducting magnet have been numerically calculated. The model is based on longitudinal conduction combined with convective heat dissipation from a helium gas stream along the conductor. Because of the nonlinearities introduced by the voltage–current relationship and the temperature-dependent material properties, up to three solutions have been identified within the range of parameters considered. Linear stability analysis reveals that two of them are stable, i.e., the superconducting and the normal branches, while the remaining one is unstable. The limit points separating the stable from the unstable steady states form the blow-up threshold, beyond which any further increase in the operating current results in a thermal runway. Interesting findings are that for low filling ratios no bounded solution exists when the length of the lead exceeds the lower limit point, while very high maximum temperatures may be encountered along the normal solution branch. The effect of various parameters such as the conduction–convection parameter, the applied current, and the reduction in coolant flow (LOFA) on the bifurcation structure and their stabilization effect on the blow-up threshold are also evaluated. Apart from the steady and unsteady operating modes, the multiplicity analysis is also used to identify the range of the design and operating variables where safe operation, with a sufficient margin from the onset of instabilities, may be established, thus facilitating the protection of the leads and the device connected to it. [ABSTRACT FROM AUTHOR]

The main purpose is to establish the variational structure of a fourth-order ordinary differential system with both instantaneous and non-instantaneous impulses. Then by using the mountain pass lemma and symmetric mountain pass lemma, the existence and multiplicity results of non-trivial weak solutions are obtained.

Multi-rater feedback instruments have been an established way of providing feedback to employees in organisations for nearly three decades, yet it remains debatable whether the use of these instruments adds value for recipients or their organisations. In this paper we question some of the underlying assumptions behind the design of these instruments and challenge the way they are implemented. Our inquiry is based on critical reviews of the literature relating to multi-rater instruments and recent developments in theories of self and multiplicity of self, and an exploratory case study in an organisational context. Without questioning the value of the multi-rater feedback in principle, we identify prevailing assumptions that minimise its effectiveness and advocate for a different, more fruitful, approach.

Measurements of the pseudorapidity distributions of charged hadrons produced in xenon-xenon collisions at a nucleon-nucleon centre-of-mass energy of sNN=5.44 TeV are presented. The measurements are based on data collected by the CMS experiment at the LHC. The yield of primary charged hadrons produced in xenon-xenon collisions in the pseudorapidity range |η|

Measurements of the pseudorapidity distributions of charged hadrons produced in xenon-xenon collisions at a nucleon-nucleon centre-of-mass energy of sNN=5.44 TeV are presented. The measurements are based on data collected by the CMS experiment at the LHC. The yield of primary charged hadrons produced in xenon-xenon collisions in the pseudorapidity range |η|

In this paper we establish some results of existence of infinitely many solutions for an elliptic equation involving the p-biharmonic and the p-Laplacian operators coupled with Navier boundary conditions where the nonlinearities depend on two real parameters and do not satisfy any symmetric condition. The nature of the approach is variational and the main tool is an abstract result of Ricceri. The novelty in the application of this abstract tool is the use of a class of test functions which makes the assumptions on the data easier to verify.

In this article, we use the Nehari manifold method to study a class of fourth-order even difference systems. First, we show that there exist multiple periodic solutions to the non-autonomous system. Second, we obtain sufficient conditions to guarantee the existence of solutions with prescribed minimal periods to the autonomous system. Our results generalize the results in reference.

In this article, we study the following bi-nonlocal Kirchhoff-Schr$ \ddot{\mathrm{o}} $dinger-Poisson system with critical growth: $ \begin{equation*} \begin{cases} -\left( \int_{\Omega}|\nabla u|^2dx\right)^r\Delta u+\phi u = u^5+\lambda\left( \int_{\Omega}F(x, u)dx\right)^sf(x, u), & \mathrm{in}\ \ \Omega, \\ -\Delta\phi = u^2, u>0, & \mathrm{in}\ \ \Omega, \\ u = \phi = 0, & \mathrm{on}\ \ \partial\Omega, \end{cases} \end{equation*} $ where $ \Omega\subset \mathbb{R}^3 $ is a smooth bounded domain, $ \lambda > 0 $, $ 0\leq r < 1 $, $ 0 < s < \frac{1-r}{3(r+1)} $ and $ f(x, u) $ satisfies some suitable assumptions. By using the concentration compactness principle, the multiplicity of positive solutions for the above system is established.

Abstract The Cochrane Handbook for Systematic Reviews of Diagnostic Test Accuracy (DTA) provides guidance on important aspects of conducting a test accuracy systematic review. In this paper we present TOMAS-R (Template of Multiplicity and Analysis in Systematic Reviews), a structured template to use in conjunction with current Cochrane DTA guidance, to help identify complexities in the review question and to assist planning of data extraction and analysis when clinically important variation and multiplicity is present. Examples of clinically important variation and multiplicity could include differences in participants, index tests and test methods, target conditions and reference standards used to define them, study design and methodological quality. Our TOMAS-R template goes beyond the broad topic headings in current guidance that are sources of potential variation and multiplicity, by providing prompts for common sources of heterogeneity encountered from our experience of authoring over 100 reviews. We provide examples from two reviews to assist users. The TOMAS-R template adds value by supplementing available guidance for DTA reviews by providing a tool to facilitate discussions between methodologists, clinicians, statisticians and patient/public team members to identify the full breadth of review question complexities early in the process. The use of a structured set of prompting questions at the important stage of writing the protocol ensures clinical relevance as a main focus of the review, while allowing identification of key clinical components for data extraction and later analysis thereby facilitating a more efficient review process.

There has been increased interest in the design and analysis of studies consisting of multiple response variables of mixed types. For example, in clinical trials, it is desirable to establish efficacy for a treatment effect in primary and secondary outcomes. In this article, we develop Bayesian approaches for hypothesis testing and study planning for data consisting of multiple response variables of mixed types with covariates. We assume that the responses are correlated via a Gaussian copula, and that the model for each response is, marginally, a generalized linear model (GLM). Taking a fully Bayesian approach, the proposed method enables inference based on the joint posterior distribution of the parameters. Under some mild conditions, we show that the joint distribution of the posterior probabilities under any Bayesian analysis converges to a Gaussian copula distribution as the sample size tends to infinity. Using this result, we develop an approach to control the type I error rate under multiple testing. Simulation results indicate that the method is more powerful than conducting marginal regression models and correcting for multiplicity using the Bonferroni‐Holm Method. We also develop a Bayesian approach to sample size determination in the presence of response variables of mixed types, extending the concept of probability of success (POS) to multiple response variables of mixed types. [ABSTRACT FROM AUTHOR]

Let T be a linear tree, and let S (T) denote the set of real symmetric matrices whose graph is T. If U (T) is the minimum number of eigenvalues with multiplicity 1 among matrices in S (T) and T ′ is a linear tree resulting from the addition of one vertex to T , we show that | U (T ′) − U (T) | ⩽ 1. We also determine the exact set of possible values of U (T) − U (T ′) , depending upon the manner in which the vertex is added to T to get T ′. These results are then used to give a new bound for U (T) , the diameter bound, and to improve an existing bound, 2 + D 2 (T). [ABSTRACT FROM AUTHOR]

This essay explores Leo Bersani's concept of the "continuity of being," a concept that attempts to overcome the epistemophiliac Cartesian dissociation of res cogitans from res extensa by means of phenomenological considerations of the proximate milieu, as well as a metaphysical intuition of the virtual One-All. The conception of the co-immanence of the One-All and the multiplicity of beings is pertinent to considerations of contemporary pandemics as well as to the climate crisis insofar as it offers neither hermeneutic resolution, policy diktats, or moral judgment, but simply one among many possible points of departure for whatever will count as thinking in whatever future there may be. [ABSTRACT FROM AUTHOR]

Anne Conway's commitment to the moral responsibility of creatures, or created beings, is seemingly in tension with her unique metaphysics. Conway is committed to individual moral responsibility. Conway insists that an innocent person ought not be punished for someone else's sin. Interesting recent work highlights a unique aspect of Conway's position that creatures are multiplicities: not only are creatures integrated into the larger whole of creation, but also their parts are mutually integrated into one another. The latter, which I will call 'ontological overlap,' renders the boundaries between creatures unclear. However, creatures must be distinct enough from each other to provide a proper subject for individual moral responsibility. This contribution suggests that Conway's account of vital power can resolve an apparent tension between ontological overlap and individual moral responsibility and, more broadly, that Conway has a relational metaphysics of moral subjecthood. [ABSTRACT FROM AUTHOR]

The eigenvalues of a signed graph are the eigenvalues of its adjacency matrix. In this paper, we completely characterize the signed graphs for which the adjacency matrices have at most three eigenvalues unequal to −1. [ABSTRACT FROM AUTHOR]

In this paper, we study the existence and non-existence of normalized solutions to the lower critical Choquard equation with a local perturbation$ \begin{equation*} \begin{cases} -\Delta u+\lambda u = \gamma (I_{\alpha}\ast|u|^{\frac{N+\alpha}{N}})|u|^{\frac{N+\alpha}{N}-2}u+\mu |u|^{q-2}u, \quad {\rm{in}}\ \mathbb{R}^N, \\ \int_{\mathbb{R}^N}|u|^2dx = c^2, \end{cases} \end{equation*} $where $ \gamma, \mu, c>0 $, $ 20 $, $ 2

Contemporary cities are urban entities composed of multiple constituents, processes, and connections and operate across binary rhetoric. These very often are comprehended as urbanisms of multiplicity and warrant a different approach to understanding and reading. Plurality in the urban realm is not a new phenomenon. Many principles and urban design approaches in the past centuries adopted an amalgamation of differentials in their discourses to respond to contextual exigencies. This paper investigates such amalgamations through a critical literature review in a bid to lay the foundation of an urban design approach that will be capable of addressing the challenges of seeping multiplicity in the cities of the future. [ABSTRACT FROM AUTHOR]

We propose a transdiagnostic approach that centers on modes, state-like manifestations of personality that function as cohesive organizational units. Modes are characterized by specific profiles of affects, behaviors, cognitions, and desires that tend to be coactivated. Each mode is typically experienced as having its own distinct experiential and agentic qualities. A mode-based approach to psychopathology builds on recent analytic and methodological developments which demonstrate the value of modeling personality states dynamically, as well as on longstanding theoretical and empirical traditions that highlight the pragmatic clinical utility of such conceptualizations. We seek to illustrate how the conceptualization of psychopathology in terms of modes and their dynamic interrelations holds considerable transdiagnostic promise. As background, we review both theory and research from philosophical accounts of selfhood, developmental psychology, social and personality psychology, and diverse psychotherapy models that lay the foundation for this mode-based approach to psychopathology. We elaborate on this foundation and (in Section 1 of our online supplemental materials) provide examples of the approach's explicit or implicit relevance to several classes of psychopathology, including dissociative, trauma-related, mood, anxiety, obsessional, substance, psychotic, and personality disorders. After addressing the clinical utility of mode-based conceptualizations, we lay out a research blueprint for assessing and modeling modes, and (in Section 2 of the online supplemental materials) present a broader research agenda highlighting intriguing empirical questions regarding modes in psychopathology. We conclude by noting that the time seems ripe for modes to be (re-)introduced as an organizing construct for understanding psychopathology and personality. General Scientific Summary: We put forward the notion of "modes"—cohesive, experientially distinct, state-like manifestation of personality characterized by specific profiles of affects, behaviors, cognitions, and desires—that can serve as an organizing framework for psychopathology. We review long-standing theoretical and empirical traditions which lay the foundation for this concept, as well as recent analytic and methodological developments which allow us to draft a blueprint for assessing and modeling such modes. [ABSTRACT FROM AUTHOR]

For a tree T, U (T) denotes the minimum number of eigenvalues of multiplicity 1 among all real symmetric matrices, whose graph is T. It is known that U (T) ≥ 2. A tree is linear if all its vertices of degree at least 3 lie on a single induced path, and k-linear if there are k of these high degree vertices. U (T) is known for generalized stars (1-linear trees), and U (T) is determined here for 2-linear trees. Three (and higher) linear trees offer considerable additional complications. [ABSTRACT FROM AUTHOR]

We study ideals of Borel type, including k-Borel ideals and t-spread Veronese ideals. We determine their free resolutions and their homological shift ideals. The multiplicity and the analytic spread of equigenerated squarefree principal Borel ideals are computed. For the multiplicity, the result is given under an additional assumption which is always satisfied for squarefree principal Borel ideals. These results are used to analyze the behavior of height, multiplicity and analytic spread of the homological shift ideals HS j (I) as functions of j, when I is an equigenerated squarefree Borel ideal. [ABSTRACT FROM AUTHOR]

Copyright of Adab Al-Kufa is the property of Republic of Iraq Ministry of Higher Education & Scientific Research (MOHESR) and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

The study is based on tracing the Qur'anic texts in which many readings lead to a different style of creation or vice versa, considering what these readings can elicit from the noble context's intended connotations. The study was divided into three sections: the first topic included the differences between matter and others, assuming that matter is from creation, the past, and the loss of the news. The second topic included the differences between telling and questioning; it is known that the difference between them is on the axes of language and art. The third topic included the differences between denial and prohibition. It is well known that there is a great discrepancy between the two. This difference has contextual implications. The study was based on two important matters: not accepting anomalous readings and not taking into account the connotations that contradict the postulates of religion, even if they are tolerated by the noble context in terms of language. [ABSTRACT FROM AUTHOR]

In this manuscript, it is considered existence and multiplicity of solutions for a system involving the -Laplacian operator which are related to several applications such as electrorheological fluids, image processing, robotics and space technology. A first solution for the system considered is obtained, under general conditions, by combining sub-supersolutions with a minimization argument in convex sets. Additionally, considering an Ambrosetti-Rabinowitz type condition and applying the Mountain Pass Theorem it is proved the existence of a second solution for the problem. The hypotheses allow to consider an wide class of nonlinearities and the results in this paper improve and complement some recent contributions. [ABSTRACT FROM AUTHOR]

The transient flow characteristics in inclined tunnel fire considerably influence occupant evacuation. We conducted brine water experiments to investigate transient smoke movement characteristics and their evolution into multiple final flow states in an inclined tunnel fire. The flow pattern exhibited a downward trend was the expected flow pattern. The experiment results indicated that before longitudinal mechanical force was activated in the inclined tunnel, the thickness of the current was nearly uniform. When longitudinal mechanical force was activated, the propagation velocity of the upstream longitudinal current declined, and then the back-layering reached its maximum length. During the naturally ventilated stage, the propagation velocity of the downstream and upstream current were approximately proportional to the cubic root of the source buoyancy flux, respectively. In the longitudinally ventilated stage, the modified Richardson number R i ′ defined as Eq. (16) were used to analyze the head propagation velocity of both the downstream and upstream currents, and then the empirical models were proposed based on the experimental data. Multiple final flow states existed even under identical longitudinal force and source buoyancy flux; distinct steady flow states were resulted from different initial conditions, that is, distinct longitudinal force activation times. If the buoyant fluid eventually evolved into the expected pattern and flowed out from the downstream end of the tunnel, the initial condition did not considerably influence the reduced gravity distribution in the final steady state.Please confirm the affiliationsI have confirmed.Please check and confirm the short title.Yes, I have checked and confirmed. [ABSTRACT FROM AUTHOR]

This paper reviews research reported over the last three decades on enhancing the torque density of a switched reluctance machine (SRM) through improved magnetic structure of the machine. To this effect, various pole configurations, modifications to pole geometry such as introduction of teeth in stator poles, tapering of stator and rotor poles, non-uniform airgap, introduction of flux barriers in the poles, and segmental rotor are studied. All salient points in the review are supported by comparative analyses based on finite element analysis (FEA) of candidate machine designs. Increasing the number of rotor poles and introduction of teeth in stator poles enhance the torque density at low current density, while increasing multiplicity is beneficial at high current densities. Quantum of electromechanical energy conversion per individual stroke can be increased by tapering of poles, non-uniform airgap and by introduction of flux barrier in the poles. A segmental rotor can increase the stator winding flux-linkage for a given excitation, and thereby, the torque output of the machine. [ABSTRACT FROM AUTHOR]

In this paper we study the existence of multiple normalized solutions to the class of elliptic problems... in RN, where a, ϵ>0, λ∈R is an unknown parameter that appears as a Lagrange multiplier, V: RN→[0,∞) is a continuous function, and f is a differentiable function with L²-subcritical growth. It is proved that the numbers of normalized solutions are related to the topology of the set where the potential V attains its minimum value. In the proof our main result, we apply minimization techniques and the Lusternik-Schnirelmann category. [ABSTRACT FROM AUTHOR]

The paper analyzes Ferenczi's contributions to contemporary debates on gender. It does not strictly adhere to what he wrote about masculinity and femininity, where he reveals himself as a man of his time, with the some of the prejudices of his time. Instead, the paper highlights the utraquistic method and the pluralist monism of Ferenczi, whereby he appears as an analyst who remains in synch with current problems. Against the purity of dualisms, Ferenczi embraced multiplicity, mixtures, and the transit between different spaces, beyond divisive frontiers. In terms of method, it resonates with Judith Butler's proposals, with the ideas defended by Paul Preciado and by Queer theory. [ABSTRACT FROM AUTHOR]