scholarly journals Mating quadratic maps with the modular group II

2019 ◽  
Vol 220 (1) ◽  
pp. 185-210
Author(s):  
Shaun Bullett ◽  
Luna Lomonaco
Keyword(s):  
Modular Group ◽  
Parameter Family ◽  
Quadratic Polynomial ◽  
Complex Parameter ◽  
Rational Maps ◽  
Quadratic Maps ◽  
The Family ◽  
The One ◽  
Holomorphic Correspondences ◽  
Connectedness Locus

Abstract In 1994 S. Bullett and C. Penrose introduced the one complex parameter family of (2 : 2) holomorphic correspondences $$\mathcal {F}_a$$Fa: $$\begin{aligned} \left( \frac{aw-1}{w-1}\right) ^2+\left( \frac{aw-1}{w-1}\right) \left( \frac{az+1}{z+1}\right) +\left( \frac{az+1}{z+1}\right) ^2=3 \end{aligned}$$aw-1w-12+aw-1w-1az+1z+1+az+1z+12=3and proved that for every value of $$a \in [4,7] \subset \mathbb {R}$$a∈[4,7]⊂R the correspondence $$\mathcal {F}_a$$Fa is a mating between a quadratic polynomial $$Q_c(z)=z^2+c,\,\,c \in \mathbb {R}$$Qc(z)=z2+c,c∈R, and the modular group $$\varGamma =PSL(2,\mathbb {Z})$$Γ=PSL(2,Z). They conjectured that this is the case for every member of the family $$\mathcal {F}_a$$Fa which has a in the connectedness locus. We show here that matings between the modular group and rational maps in the parabolic quadratic family $$Per_1(1)$$Per1(1) provide a better model: we prove that every member of the family $$\mathcal {F}_a$$Fa which has a in the connectedness locus is such a mating.

scholarly journals K-theory for Cuntz-Krieger algebras arising from real quadratic maps

2003 ◽  
Vol 2003 (34) ◽  
pp. 2139-2146 ◽  
Author(s):  
Nuno Martins ◽  
Ricardo Severino ◽  
J. Sousa Ramos
Keyword(s):  
Transition Matrix ◽  
Parameter Family ◽  
Quadratic Maps ◽  
Markov Transition Matrix ◽  
Kneading Sequence ◽  
Markov Transition ◽  
K Theory ◽  
The One ◽  
Real Quadratic

We compute theK-groups for the Cuntz-Krieger algebras𝒪A𝒦(fμ), whereA𝒦(fμ)is the Markov transition matrix arising from the kneading sequence𝒦(fμ)of the one-parameter family of real quadratic mapsfμ.

A mathematical model of the rotor profile of the single-screw compressor

2002 ◽  
Vol 216 (3) ◽  
pp. 343-351 ◽  
Author(s):  
S-C Yang
Keyword(s):  
Mathematical Model ◽  
Parameter Family ◽  
Cutting Edge ◽  
Screw Compressor ◽  
Single Screw ◽  
Rotor Profile ◽  
The Family ◽  
Screw Rotor ◽  
The One ◽  
Screw Rotors

This paper presents a method for determining the basic profile of a single-screw compressor including a gate rotor and a screw rotor. The inverse envelope concept for determining the cutting-edge curve of the gate rotor is presented. Based on this concept, the required cutter for machining the screw rotor can be obtained by an envelope of the one-parameter family of obtained screw rotors. The obtained screw rotor is an envelope of the family of gate rotor surfaces. Let the obtained envelope of the one-parameter family of gate rotor surfaces become the generating surface. The inverse envelope can be used to obtain the envelope of the family of generating surfaces. Then, the profile of the gate rotor with the cutting-edge curve can be easily obtained. The proposed method shows that the gate rotor and the screw rotor are engaged along the contact line at every instant. This is essential to reduce the effect of leakage on compressor performance. In this paper, a mathematical model of the meshing principle of the screw rotor with the gate rotor is established. As an example, the single-screw compressor for a compressor ratio of 11:6 is determined with the aid of the proposed mathematical model. Results from these mathematical models should have applications in the design of single-screw compressors.

scholarly journals Invariant Curves of Quadratic Maps of the Plane from the One-Parameter Family Containing the Trace Map

2014 ◽  
Vol 46 ◽  
pp. 98-110 ◽  
Author(s):  
S.S. Belmesova ◽  
L.S. Efremova ◽  
D. Fournier-Prunaret
Keyword(s):  
Parameter Family ◽  
Invariant Curves ◽  
Quadratic Maps ◽  
Trace Map ◽  
The One

scholarly journals Differentiability properties of the family of p-parallel bodies

2016 ◽  
Vol 10 (1) ◽  
pp. 186-207 ◽  
Author(s):  
Hernández Cifre ◽  
Martínez Fernández ◽  
Saorín Gómez
Keyword(s):  
Lower Bound ◽  
Support Function ◽  
Classical Case ◽  
Parameter Family ◽  
The Family ◽  
Polynomial Expression ◽  
The One ◽  
Differentiability Properties ◽  
Sharp Lower Bound

We investigate the differentiability of the quermassintegrals with respect to the one-parameter family of the p-parallel bodies. As in the classical case, we obtain that the volume is always differentiable. Although there is no polynomial expression for a p-sum, the rest of quermassintegrals are differentiable on positive values of the parameter too. We prove a sharp lower bound for the derivative of the support function of the p-inner parallel bodies along with equality conditions.

Murder with Impunity: The Construction of Arab Masculinities and Honor Crimes

1970 ◽  
pp. 38-45
Author(s):  
May Abu Jaber
Keyword(s):  
Violence Against Women ◽  
Social Boundaries ◽  
Religious Institutions ◽  
The Social ◽  
The Family ◽  
The Media ◽  
The One ◽  
Male Authority ◽  
Cultural Networks ◽  
Gender Specific

Violence against women (VAW) continues to exist as a pervasive, structural,systematic, and institutionalized violation of women’s basic human rights (UNDivision of Advancement for Women, 2006). It cuts across the boundaries of age, race, class, education, and religion which affect women of all ages and all backgrounds in every corner of the world. Such violence is used to control and subjugate women by instilling a sense of insecurity that keeps them “bound to the home, economically exploited and socially suppressed” (Mathu, 2008, p. 65). It is estimated that one out of every five women worldwide will be abused during her lifetime with rates reaching up to 70 percent in some countries (WHO, 2005). Whether this abuse is perpetrated by the state and its agents, by family members, or even by strangers, VAW is closely related to the regulation of sexuality in a gender specific (patriarchal) manner. This regulation is, on the one hand, maintained through the implementation of strict cultural, communal, and religious norms, and on the other hand, through particular legal measures that sustain these norms. Therefore, religious institutions, the media, the family/tribe, cultural networks, and the legal system continually disciplinewomen’s sexuality and punish those women (and in some instances men) who have transgressed or allegedly contravened the social boundaries of ‘appropriateness’ as delineated by each society. Such women/men may include lesbians/gays, women who appear ‘too masculine’ or men who appear ‘too feminine,’ women who try to exercise their rights freely or men who do not assert their rights as ‘real men’ should, women/men who have been sexually assaulted or raped, and women/men who challenge male/older male authority.

scholarly journals Personality and Dementia: an Approach to Differential Profile of the Caregiver

2011 ◽  
Vol 1 (3) ◽  
pp. 85-94
Author(s):  
Elena de Andrés-Jiménez ◽  
Rosa Mª Limiñana-Gras ◽  
Encarna Fernández-Ros
Keyword(s):  
Relevant Information ◽  
Personality Profile ◽  
Family Carers ◽  
Psychological Variables ◽  
People With Dementia ◽  
The Family ◽  
Study Population ◽  
The One ◽  
The Impact

The aim of this study is to determine the existence of a characteristic personality profile of family carers of people with dementia. The correct knowledge and use of psychological variables which affect the carer, helps to promote appropriate actions to mitigate the impact of care and improve the carer’s quality of life and likewise the one of the person cared for. The study population consists of 69 family carers of people with dementia, members of various associations and care centers. The results allow us to identify a characteristic personality profile for these carers and it reveals a specific psychological working in this sample, although we cannot directly relate it with the tasks of caring for people with this disease, this profile gives us very relevant information to pay more attention to the needs of this group. Moreover, the analysis of personality styles depends on the sex of the family carer, showing, once again, that the woman is in a situation of most vulnerability.

scholarly journals The Image of the Family and Family Home in Małgorzata Musierowicz’s Series of Novels, and the Stereotype of the Family in Contemporary Polish Society

2021 ◽  
Author(s):  
Joanna Senderska ◽  
Iwona Mityk ◽  
Ewa Piotrowska-Oberda
Keyword(s):  
Social Consciousness ◽  
Traditional Family ◽  
Patriarchal Family ◽  
Family Model ◽  
The Family ◽  
Language Data ◽  
Polish Society ◽  
Family Home ◽  
The One ◽  
Over 40 Years

AbstractThe article discusses the image of the family and the family home in a series of novels for young people by the popular Polish writer Małgorzata Musierowicz in the context of literary conventions and stereotypes about the family in contemporary Polish society. The novels, which cover a period of over 40 years, generally fit contemporary Polish realities; however, the didactic function of the novels results in the author creating an idealized image of the Polish intellectual family, filling the readers with optimism. The picture created by the writer, on the one hand, fits perfectly into the stereotype of the family, which is one of the values highly esteemed by Poles. On the other hand, it adapts to the conventions of novels for girls. In this article, the stereotype of the family is reconstructed on the basis of language data and surveys. We present the meanings and contexts of family as a noun and family as an adjective. We also present the results of our survey, the aim of which was to determine an essence of a stereotypical family and how the traditional family model is comprehended by respondents coming from various groups. We also present the respondents’ attitude to the patriarchal family model and the division of roles into male and female. In our opinion, the correspondence between the family picture created in the novels and the image of the family operating in social consciousness is the reason for the popularity of the series.

scholarly journals Two Separate Cases: Complex Chromosomal Abnormality Involving Three Chromosomes and Small Supernumerary Marker Chromosome in Patients with Impaired Reproductive Function

Genes ◽  
2020 ◽  
Vol 11 (12) ◽  
pp. 1511
Author(s):  
Tatyana V. Karamysheva ◽  
Tatyana A. Gayner ◽  
Vladimir V. Muzyka ◽  
Konstantin E. Orishchenko ◽  
Nikolay B. Rubtsov
Keyword(s):  
Genetic Counseling ◽  
Chromosome Rearrangement ◽  
Marker Chromosome ◽  
Reproductive Function ◽  
Small Supernumerary Marker Chromosome ◽  
Comprehensive Chromosome Screening ◽  
The Family ◽  
Multicolor Banding ◽  
The One

For medical genetic counseling, estimating the chance of a child being born with chromosome abnormality is crucially important. Cytogenetic diagnostics of parents with a balanced karyotype are a special case. Such chromosome rearrangements cannot be detected with comprehensive chromosome screening. In the current paper, we consider chromosome diagnostics in two cases of chromosome rearrangement in patients with balanced karyotype and provide the results of a detailed analysis of complex chromosomal rearrangement (CCR) involving three chromosomes and a small supernumerary marker chromosome (sSMC) in a patient with impaired reproductive function. The application of fluorescent in situ hybridization, microdissection, and multicolor banding allows for describing analyzed karyotypes in detail. In the case of a CCR, such as the one described here, the probability of gamete formation with a karyotype, showing a balance of chromosome regions, is extremely low. Recommendation for the family in genetic counseling should take into account the obtained result. In the case of an sSMC, it is critically important to identify the original chromosome from which the sSMC has been derived, even if the euchromatin material is absent. Finally, we present our view on the optimal strategy of identifying and describing sSMCs, namely the production of a microdissectional DNA probe from the sSMC combined with a consequent reverse painting.

scholarly journals Singular perturbations of the unicritical polynomials with two parameters

2016 ◽  
Vol 37 (6) ◽  
pp. 1997-2016 ◽  
Author(s):  
YINGQING XIAO ◽  
FEI YANG
Keyword(s):  
Julia Set ◽  
Dynamical Behavior ◽  
Rational Maps ◽  
Topological Properties ◽  
Fatou Set ◽  
The Family ◽  
Image Position ◽  
Two Parameters ◽  
Unicritical Polynomials

In this paper, we study the dynamics of the family of rational maps with two parameters $$\begin{eqnarray}f_{a,b}(z)=z^{n}+\frac{a^{2}}{z^{n}-b}+\frac{a^{2}}{b},\end{eqnarray}$$ where $n\geq 2$ and $a,b\in \mathbb{C}^{\ast }$. We give a characterization of the topological properties of the Julia set and the Fatou set of $f_{a,b}$ according to the dynamical behavior of the orbits of the free critical points.

Apocalyptic Antinomies in Paul's Letter to the Galatians

1985 ◽  
Vol 31 (3) ◽  
pp. 410-424 ◽  
Author(s):  
J. Louis Martyn
Keyword(s):  
The Family ◽  
Positive Sense ◽  
History Of ◽  
The One

At several junctures in the history of its interpretation Paul's letter to the Galatians has been seen as the embarrassing member of the Pauline letter-family, the one refusing to be brought into line with the others, and even, in some regards, the one threatening the unity and good-natured comradery of the family. Luther, to be sure, called on the familial image in an entirely positive sense, when he confessed himself to be happily betrothed to the letter. Others have considered that betrothal the prelude to an unfortunate marriage, in which Luther was led astray, or led further astray, by this intractable and regrettable letter.

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