scholarly journals Densities non-realizable as the Jacobian of a 2-dimensional bi-Lipschitz map are generic

2018 ◽  
Vol 10 (04) ◽  
pp. 933-940
Author(s):  
Rodolfo Viera
Keyword(s):  
Lipschitz Map ◽  
Positive Functions ◽  
Lipschitz Homeomorphism

In this work, positive functions defined on the plane are considered from a generic viewpoint, both in the continuous and bounded setting. By pursuing on constructions of Burago–Kleiner and McMullen, we show that, generically, such a function cannot be written as the Jacobian of a bi-Lipschitz homeomorphism.

Ethanolamine: A Potential Promoiety with Additional Effects in the Brain

2020 ◽  
Vol 19 ◽  
Author(s):  
Asfree Gwanyanya ◽  
Christie Nicole Godsmark ◽  
Roisin Kelly-Laubscher
Keyword(s):  
Central Nervous System ◽  
Nervous System ◽  
Drug Design ◽  
Cell Signaling ◽  
Blood Brain Barrier ◽  
Brain Barrier ◽  
The Central Nervous System ◽  
Bioactive Molecule ◽  
Positive Functions ◽  
The Brain

Abstract: Ethanolamine is a bioactive molecule found in several cells, including those in the central nervous system (CNS). In the brain, ethanolamine and ethanolamine-related molecules have emerged as prodrug moieties that can promote drug movement across the blood-brain barrier. This improvement in the ability to target drugs to the brain may also mean that in the process ethanolamine concentrations in the brain are increased enough for ethanolamine to exert its own neurological ac-tions. Ethanolamine and its associated products have various positive functions ranging from cell signaling to molecular storage, and alterations in their levels have been linked to neurodegenerative conditions such as Alzheimer’s disease. This mini-review focuses on the effects of ethanolamine in the CNS and highlights the possible implications of these effects for drug design.

Positive Functions of Psychosis

2010 ◽  
Vol 41 (2) ◽  
pp. 216-233 ◽  
Author(s):  
Willem H. J. Martens
Keyword(s):  
Social Emotional ◽  
Therapeutic Implications ◽  
Cognitive Awareness ◽  
And Coping ◽  
Positive Functions

AbstractThe positive functions of psychosis are examined. It is concluded that psychosis might have following positive and compensating functions: satisfaction of urgent needs that otherwise would remain unsatisfied; avoidance of and coping with unbearable reality, harmful influences and stress, and/or trauma; realization of urgent but otherwise unattainable goal settings; and upgrading of social-emotional and cognitive incapacities into more adequate social-emotional and cognitive awareness and functioning. The therapeutic implications of these findings are also discussed.

Some negative results for the interpolation monotone approximation of functions having a fractional derivative

2020 ◽  
pp. 122-127
Author(s):  
T. O. Petrova ◽  
I. P. Chulakov
Keyword(s):  
Fractional Derivative ◽  
Convex Function ◽  
Nondecreasing Function ◽  
Degree Of Approximation ◽  
Approximation Of Functions ◽  
Monotone Approximation ◽  
Convex Approximation ◽  
Negative Results ◽  
Positive Functions ◽  
Approximation Of A Function

We discuss whether on not it is possible to have interpolatory estimates in the approximation of a function $f є W^r [0,1]$ by polynomials. The problem of positive approximation is to estimate the pointwise degree of approximation of a function $f є C^r [0,1] \cap \Delta^0$ where $\Delta^0$ is the set of positive functions on [0,1]. Estimates of the form (1) for positive approximation are known ([1],[2]). The problem of monotone approximation is that of estimating the degree of approximation of a monotone nondecreasing function by monotone nondecreasing polynomials. Estimates of the form (1) for monotone approximation were proved in [3],[4],[8]. In [3],[4] is consider $r є , r > 2$. In [8] is consider $r є , r > 2$. It was proved that for monotone approximation estimates of the form (1) are fails for $r є , r > 2$. The problem of convex approximation is that of estimating the degree of approximation of a convex function by convex polynomials. The problem of convex approximation is that of estimating the degree of approximation of a convex function by convex polynomials. The problem of convex approximation is consider in ([5],[6]). In [5] is consider $r є , r > 2$. In [6] is consider $r є , r > 2$. It was proved that for convex approximation estimates of the form (1) are fails for $r є , r > 2$. In this paper the question of approximation of function $f є W^r \cap \Delta^1, r є (3,4)$ by algebraic polynomial $p_n є \Pi_n \cap \Delta^1$ is consider. The main result of the work generalize the result of work [8] for $r є (3,4)$.

Generics in society

2021 ◽  
Vol 50 (4) ◽  
pp. 517-532
Author(s):  
Susan A. Gelman
Keyword(s):  
Academic Writing ◽  
Social Life ◽  
Meaning Making ◽  
Social Contexts ◽  
Anthropological Research ◽  
Generic Language ◽  
Contemporary Work ◽  
Positive Functions ◽  
Context Free

ABSTRACTThis article examines two interrelated issues: (i) how considering generics within their social contexts of use contributes to theories of generics, and (ii) how contemporary work on generics provides promising directions for the study of language as an aspect of social life. Examining the function of generics in meaningful interactions stands in contrast to standard treatments, which consider generics as isolated, context-free propositions. Additionally, recent psychological approaches suggest new questions that can enrich sociolinguistic and linguistic anthropological research. These include, for example, when and why generics serve not just negative functions (such as stereotyping) but also positive functions (such as meaning-making), how generics gain their power from what is unstated as opposed to stated, and how generic language distorts academic writing. Ultimately, the study of language in society has the potential to enrich the study of generics beyond what has been learned from their study in linguistics, philosophy, and psychology. (Generics, concepts, categories, stereotyping, induction)*

Methodology of humanitarian knowledge. Mass culture: adaptive and socializing potential

2020 ◽  
pp. 36-43
Author(s):  
Anna Vladimirovna Kostina
Keyword(s):  
Mass Culture ◽  
Modern Society ◽  
Point Of View ◽  
Social Structures ◽  
Adaptive Function ◽  
Social Communities ◽  
Positive Functions ◽  
Post Industrial

The author proves that despite the generally accepted point of view regarding the negative functions performed by mass culture in society, i.e., first of all, simplifying consciousness, escapist, and compensatory one, there is a number of positive functions performed by mass culture in modern society. Among them, the author highlights the ability of mass culture to construct social communities and the adaptive function that becomes necessary within the framework of non-traditional — industrial, post-industrial, and informational social structures. The material of the article may be of interest as a specific methodology for the study of socio-cultural phenomena.

Effect of swearing on strength: Disinhibition as a potential mediator

2021 ◽  
Author(s):  
Richard Stephens ◽  
Harry Dowber ◽  
Amber Barrie ◽  
Sannida Almeida ◽  
Katie Atkins
Keyword(s):  
Repeated Measures ◽  
Mediation Effect ◽  
Risky Behaviour ◽  
Balloon Analogue Risk Task ◽  
Physical Strength ◽  
Self Confidence ◽  
Psychological Mechanism ◽  
Audio Track ◽  
Arm Strength ◽  
Positive Functions

Introduction: Swearing fulfils positive functions including benefitting pain relief and physical strength. Here we present three experiments assessing a possible psychological mechanism, increased state disinhibition, for the effect of swearing on physical strength. Method: Three repeated measures experiments were carried out with sample sizes N=56, N=63 and N=118. All three included the Balloon Analogue Risk Task (BART) to measure risky behaviour. Experiments 1 and 3 included measures of physical performance assessing, respectively, grip and arm strength. Experiment 3, which was pre-registered, additionally assessed flow, self-confidence, anxiety, emotion including humour, and distraction including novelty.Results: Experiments 1 and 3 found that repeating a swear word benefitted physical strength and increased risky behaviour, but risky behaviour did not mediate the strength effect. Experiment 2 showed no effect of listening to an audio track of a repeated swear word. Experiment 3 found that repeating a swear word increased flow, self-confidence, positive emotion, humour and distraction. Humour mediated the effect of swearing on physical strength. Discussion: Consistent effects of swearing on physical strength indicate that this is a reliable effect. Swearing affected several constructs related to state disinhibition including increased self-confidence. Humour appeared to mediate the effect of swearing on physical strength, consistent with a hot cognitions explanation of swearing-induced state disinhibition. However, as this mediation effect was part of an exploratory analysis, further pre-registered experimental research including validated measures of humour is required.

scholarly journals Totally positive functions through nonstationary subdivision schemes

2007 ◽  
Vol 200 (1) ◽  
pp. 255-265 ◽  
Author(s):  
Costanza Conti ◽  
Laura Gori ◽  
Francesca Pitolli
Keyword(s):  
Subdivision Schemes ◽  
Totally Positive ◽  
Positive Functions

scholarly journals A NONCONVENTIONAL STRONG LAW OF LARGE NUMBERS AND FRACTAL DIMENSIONS OF SOME MULTIPLE RECURRENCE SETS

2012 ◽  
Vol 12 (03) ◽  
pp. 1150023 ◽  
Author(s):  
YURI KIFER
Keyword(s):  
Law Of Large Numbers ◽  
Fractal Dimensions ◽  
Growth Conditions ◽  
Multiple Recurrence ◽  
Strong Law ◽  
Moment Conditions ◽  
Vector Process ◽  
Regularity Properties ◽  
Large Numbers ◽  
Positive Functions

We provide conditions which yield a strong law of large numbers for expressions of the form [Formula: see text] where X(n), n ≥ 0's is a sufficiently fast mixing vector process with some moment conditions and stationarity properties, F is a continuous function with polinomial growth and certain regularity properties and qi, i > m are positive functions taking on integer values on integers with some growth conditions. Applying these results we study certain multifractal formalism type questions concerning Hausdorff dimensions of some sets of numbers with prescribed asymptotic frequencies of combinations of digits at places q1(n), …, qℓ(n).

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