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A new framework for measuring functional diversity (FD) from multiple traits has recently been proposed. This framework was mostly limited to quantitative traits without missing value and to situations in which there ire more Spec...
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A new framework for measuring functional diversity (FD) from multiple traits has recently been proposed. This framework was mostly limited to quantitative traits without missing value and to situations in which there ire more Species than traits, although the authors had suggested a way to extend their framework to other trait types. I-lie main purpose of this note is 10 further develop this suggestion. We describe I highly flexible distance-based framework to measure different Facets of FD in multidimensional trait space from any distance Or dissimilarity measure, any number of traits, and from different trait types (i.e., quantitative, semi-quantitative, and qualitative). This new approach allows for missing trait values and the weighting of individual traits. We also present a new multidimensional FD index, called functional dispersion (FDis), which is closely related to Rao's quadratic entropy. FDis is the multivariate analogue of the weighted mean absolute deviation (MAD), in which the weights are species relative abundances. For unweighted presence-absence data, FDis can be used for a formal statistical test of differences in FD. We provide the "FD" R language package to easily implement our distance-based FD framework.
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There are distinct techniques to generate fuzzy implication functions. Despite most of them using the combination of associative aggregators and fuzzy negations, other connectives such as (general) overlap/grouping functions may b...
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There are distinct techniques to generate fuzzy implication functions. Despite most of them using the combination of associative aggregators and fuzzy negations, other connectives such as (general) overlap/grouping functions may be a better strategy. Since these possibly non-associative operators have been successfully used in many applications, such as decision making, classification and image processing, the idea of this work is to continue previous studies related to fuzzy implication functions derived from general overlap functions. In order to obtain a more general and flexible context, we extend the class of implications derived by fuzzy negations and t-norms, replacing the latter by general overlap functions, obtaining the so-called (GO,N)-implication functions. We also investigate their properties, the aggregation of (GO,N)-implication functions, their characterization and the intersections with other classes of fuzzy implication functions.
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{\bf Objectives:} Investigate pervasiveness of unhealthy family functioning and psychological distress among primary caregivers of 28 adult outpatients with traumatic injuries. Describe caregiver functioning and psychological dist...
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{\bf Objectives:} Investigate pervasiveness of unhealthy family functioning and psychological distress among primary caregivers of 28 adult outpatients with traumatic injuries. Describe caregiver functioning and psychological distress in caregivers of persons with traumatic brain injury and caregivers of persons with a traumatic spinal cord injury. Determine similarities and differences between the two populations. {\bf Study Design:} Caregivers completed self-report measures including the Brief Symptom Inventory (BSI) and Family Assessment Device (FAD). Data were matched on respondent's gender, patient's age at injury, ethnicity, and marital status. Descriptive statistics were compiled for all variables. Independent samples t-tests and chi squares were computed to test for between group differences. {\bf Results:} Similarities found between groups with regard to severity and mechanism of injury. Caregivers exhibited the highest levels of unhealthy functioning with regard to communication skills. Highest levels of healthy functioning were noted with regard to behavioral control. Almost 75% of caregivers reported elevated stress levels. Primary caregivers of persons with SCI report significantly (t25 = 2.619, p = .015) more stress secondary to phobic anxiety than caregivers of persons with TBI. {\bf Conclusion:} Previous research demonstrates that the BSI and FAD are valuable clinical tools. Current results suggest they are inappropriate for significantly distinguishing between SCI and TBI caregiver samples.
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Decomposer functional equations were introduced by the author and have been completely solved on arbitrary groups. Their solutions are as decomposer functions and play important role regarding to decomposition (factorization) of g...
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Decomposer functional equations were introduced by the author and have been completely solved on arbitrary groups. Their solutions are as decomposer functions and play important role regarding to decomposition (factorization) of groups by their two subsets. In this paper, we introduce an important class of strong decomposer functions, namely parter (or cyclic decomposer) functions. As some important applications of this topic, we characterize all periodic , coperiodic functions in arbitrary groups and give general solution of their functional equations: f(bx) = f(x) , f(xb) = f(x), f(bx) = bf(x) and f(xb) = f(x)b. Moreover, we characterize all parter functions in arbitrary groups and completely solve the decomposer equation with the condition which its -range is a cyclic subgroup of G. Finally, we give some functional characterization for related projections and b-parts functions and also, we introduce some uniqueness conditions for b-parts of real numbers.
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We characterize the families of quotients of functionally connected, connected and almost continuous functions. We prove also theorems concerning common divisor for the families of the quotients of functionally connected (resp. co...
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We characterize the families of quotients of functionally connected, connected and almost continuous functions. We prove also theorems concerning common divisor for the families of the quotients of functionally connected (resp. connected, almost continuous) functions with respect to functional connectivity (resp. connectivity, almost continu-
ity).
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In this paper, we obtain extensions of sufficient conditions for analytic functions f (z) in the open unit disk U to be starlike and convex of order a. Our results unify and extend some starlikeness and convexity conditions for an...
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In this paper, we obtain extensions of sufficient conditions for analytic functions f (z) in the open unit disk U to be starlike and convex of order a. Our results unify and extend some starlikeness and convexity conditions for analytic functions discussed by Mocanu (1988) [4], Uyanik et al. (2011) [3] and others.
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Applications of Bessel differential equations have attracted the univalent function theorists in recent years. In the present investigation, we establish certain suffcient conditions for Bessel function to be in the class of Janow...
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Applications of Bessel differential equations have attracted the univalent function theorists in recent years. In the present investigation, we establish certain suffcient conditions for Bessel function to be in the class of Janowski starlike and Janowski convex functions. Further, certain suffcient condition for an integral operator defined using Bessel function to be in the class of Janowski starlike and Janowski convex functions are determined.
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In 2018, Pott et al. have studied in (IEEETrans Inf Theory 64(1):403-411, 2018) the maximum number of bent components of vectorial functions. They have presented many nice results and suggested several open problems in this contex...
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In 2018, Pott et al. have studied in (IEEETrans Inf Theory 64(1):403-411, 2018) the maximum number of bent components of vectorial functions. They have presented many nice results and suggested several open problems in this context. This paper is in the continuation of their study in which we solve two open problems raised by Pott et al. and partially solve an open problem raised by the same authors. Firstly, we prove that for a vectorial function, the property of having the maximum number of bent components is invariant under the so-called CCZ equivalence. Secondly, we prove the non-existence of APN plateaued functions having the maximum number of bent components. In particular, quadratic APN functions cannot have the maximum number of bent components. Finally, we present some sufficient conditions that the vectorial function defined from F-22k to F-22k by its univariate representation:alpha x(2i)(x + x(2k) + Sigma(rho)(j=1)gamma(j)x2(tj) + Sigma(rho)(j=1)gamma(j)x2(tj+k))has the maximum number of bent components, where rho <= k. Further, we show that the differential spectrum of the function x(2i) (x + x(2k) + x(2t1) + x(2t1+k) + x(2t2) + x(2t2+k)) (where i, t(1), t(2) satisfy some conditions) is different from the binomial function Fi (x) = x(2i) (x+ x(2k)) presented in the article of Pott et al.
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The object of the present paper is to derive various properties and characteristics of certain subclasses of p-valently analytic functions in the open unit disk by using the techniques involving the Briot-Bouquet differential subo...
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The object of the present paper is to derive various properties and characteristics of certain subclasses of p-valently analytic functions in the open unit disk by using the techniques involving the Briot-Bouquet differential subordination. The results presented here not only improve and sharpen the earlier works, but they also give rise to a number of new results for simpler function classes.
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In the present paper, we investigate the familiar geometric properties of starlikeness, convexity and spirallikeness of a certain class of rational functions. Relevance with various known (and new) results are also mentioned. (C) ...
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In the present paper, we investigate the familiar geometric properties of starlikeness, convexity and spirallikeness of a certain class of rational functions. Relevance with various known (and new) results are also mentioned. (C) 2006 Published by Elsevier Inc.
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