Crossing and non-crossing families
Todor Antić, Martin Balko, Birgit Vogtenhuber
For a finite set $P$ of points in the plane in general position, a \emph{crossing family} of size $k$ in $P$ is a collection of $k$ line segments with endpoints in $P$ that are pairwise crossing. It is a long-standing open problem to determine the largest size of a crossing family in any set of $n$ points in the plane in general position. It is widely believed that this size should be linear in $n$. Motivated by results from the theory of partitioning complete geometric graphs, we study a variant of this problem for point sets $P$ that do not contain a \emph{non-crossing family} of size $m$, which is a collection of 4 disjoint subsets $P_1$, $P_2$, $P_3$, and $P_4$ of $P$, each containing $m$ points of $P$, such that for every choice of 4 points $p_i \in P_i$, the set $\{p_1,p_2,p_3,p_4\}$ is such that $p_4$ is in the interior of the triangle formed by $p_1,p_2,p_3$. We prove that, for every $m \in \mathbb{N}$, each set $P$ of $n$ points in the plane in general position contains either a crossing family of size $n/2^{O(\sqrt{\log{m}})}$ or a non-crossing family of size $m$, by this strengthening a recent breakthrough result by Pach, Rubin, and Tardos (2021). Our proof is constructive and we show that these families can be obtained in expected time $O(nm^{1+o(1)})$. We also prove that a crossing family of size $Ω(n/m)$ or a non-crossing family of size $m$ in $P$ can be found in expected time $O(n)$.
Dirac operators for algebraic families
Spyridon Afentoulidis-Almpanis, Eyal Subag
We introduce algebraic families of Dirac operators for the deformation family (and other related families) associated with a real reductive Lie group that interpolates the reductive group and the corresponding Cartan motion group. We prove Vogan's conjecture in this setting, relating the infinitesimal character of an algebraic family of Harish-Chandra modules and its Dirac cohomology.
Twisted Rota-Baxter families on Lie-Yamaguti algebras and NS-Lie-Yamaguti family algebras
Wen Teng
In this paper, we first introduce twisted Rota-Baxter families on Lie-Yamaguti algebras indexed by a commutative semigroup $Ω$. Then, we study NS-Lie-Yamaguti family algebras as the underlying structures of twisted Rota-Baxter families. Finally, we investigate the cohomology of a twisted Rota-Baxter family. This cohomology can also be seen as the cohomology of a certain $Ω$-Lie-Yamaguti algebras with coefficients in an appropriate representation. As applications, we consider the deformations of twisted Rota-Baxter families from the cohomological points of view.
Are educational transitions related to young people’s loneliness and mental health: a systematic review
Amanda Jasmin Emilia Sundqvist, Jessica Hemberg, Pia Nyman-Kurkiala
et al.
Transitions can be described as passage/movement from one life phase, condition, or status to another, where people learn to adapt to the change through inner reorientation, adaptation, and/or transformation. The aim was to explore whether educational transitions during adolescence and emerging adulthood relate to loneliness and mental health. A systematic review was conducted. A total of 32 articles were included. Educational transitions were associated with both positive and negative outcomes. Individual variables might impact how a transition is experienced. To alleviate negative outcomes for young people, social support and targeted interventions should be developed, and support made available and accessible. Interventions should focus on preventing disruptions in social networks and increasing connections and collaborations between support networks across each educational stage. Future research should examine how interventions can support individuals who are negatively affected by educational transitions.
Special aspects of education, The family. Marriage. Woman
Determinant factors of cyberbullying behaviour among Indonesian adolescents
Baidi Bukhori, Nadya Ariyani Hasanah Nuriyyatiningrum, Khairani Zikrinawati
et al.
This study aims to examine 1) the effect of religiosity, conformity, and authoritarian parenting on self-control; and 2) the effect of religiosity, conformity, and authoritarian parenting on adolescent cyberbullying behaviour, either directly or indirectly through self-control. Participants were 2,763 high school students (Mage = 16 years, SD = 0.95). The majority were from rural areas (65.5%), females (76.7%), and Muslims (98.8%). Path analysis found religiosity, conformity, and authoritarian parenting have direct effects on cyberbullying and indirect effect via self-control. Religiosity and conformity could be protective factors against adolescent cyberbullying behaviour, and conversely, authoritarian parenting could be promotive to adolescent cyberbullying behaviour. Self-control that could be strengthened through religiosity and group-conformity and weakened by authoritarian parenting, could prevent adolescents from engaging in cyberbullying behaviour.
Special aspects of education, The family. Marriage. Woman
Stabilities for non-uniform $t$-intersecting families
Yongtao Li, Biao Wu
The study of intersection problems on families of sets is one of the most important topics in extremal combinatorics. As we all know, the extremal problems involving certain intersection constraints are equivalent to that with the union properties by taking complement of sets. A family of sets is called $s$-union if the union of any two sets in this family has size at most $s$. Katona [Acta Math. Hungar. 15 (1964)] provided the maximum size of an $s$-union family of sets of $[n]$, and he also determined the extremal families up to isomorphism. Recently, Frankl [J. Combin. Theory Ser. B 122 (2017) 869--876] sharpened this result by establishing the maximum size of an $s$-union family that is not a subfamily of the so-called Katona family. In this paper, we determine the maximum size of an $s$-union family that is neither contained in the Katona family nor in the Frankl family. Moreover, we characterize all extremal families achieving the upper bounds.
Intersecting families with covering number $3$
Andrey Kupavskii
A covering number of a family is the size of the smallest set that intersects all sets from the family. In 1978 Frankl determined for $n\ge n_0(k)$ the largest intersecting family of $k$-element subsets of $[n]$ with covering number $3$. In this paper, we essentially settle this problem, showing that the same family is extremal for any $k\ge 100$ and $n>2k$.
High-Efficiency and Low-Noise Detectors for the Upgraded CLASS 90 GHz Focal Plane
Carolina Núñez, John W. Appel, Rahul Datta
et al.
We present the in-lab and on-sky performance for the upgraded 90 GHz focal plane of the Cosmology Large Angular Scale Surveyor (CLASS), which had four of its seven detector wafers updated during the austral winter of 2022. The update aimed to improve the transition-edge-sensor (TES) stability and bias range and to realize the high optical efficiency of the sensor design. Modifications included revised circuit terminations, electrical contact between the TES superconductor and the normal metal providing the bulk of the bolometer's heat capacity, and additional filtering on the TES bias lines. The upgrade was successful: 94% of detectors are stable down to 15% of the normal resistance, providing a wide overlapping range of bias voltages for all TESs on a wafer. The median telescope efficiency improved from $0.42^{+0.15}_{-0.22}$ to $0.60^{+0.10}_{-0.32}$ (68% quantiles). For the four upgraded wafers alone, median telescope efficiency increased to $0.65^{+0.06}_{-0.06}$. Given our efficiency estimate for the receiver optics, this telescope efficiency implies a detector efficiency exceeding $0.90$. The overall noise-equivalent temperature of the 90 GHz focal plane improved from 19 $μ$K$\sqrt{s}$ to 9.7 $μ$K$\sqrt{s}$.
en
astro-ph.IM, astro-ph.CO
On the extremal families for the Kruskal--Katona theorem
Oriol Serra, Lluís Vena
In \cite[Serra, Vena, Extremal families for the Kruskal-Katona theorem]{sv21}, the authors have shown a characterization of the extremal families for the Kruskal-Katona Theorem. We further develop some of the arguments given in \cite{sv21} and give additional properties of these extremal families. Füredi-Griggs/Mörs theorem from 1986/85 \cite{furgri86,mors85} claims that, for some cardinalities, the initial segment of the colexicographical is the unique extremal family; we extend their result as follows: the number of (non-isomorphic) extremal families strictly grows with the gap between the last two coefficients of the $k$-binomial decomposition. We also show that every family is an induced subfamily of an extremal family, and that, somewhat going in the opposite direction, every extremal family is close to being the inital segment of the colex order; namely, if the family is extremal, then after performing $t$ lower shadows, with $t=O(\log(\log n))$, we obtain the initial segment of the colexicographical order. We also give a ``fast'' algorithm to determine whether, for a given $t$ and $m$, there exists an extremal family of size $m$ for which its $t$-th lower shadow is not yet the initial segment in the colexicographical order. As a byproduct of these arguments, we give yet another characterization of the families of $k$-sets satisfying equality in the Kruskal--Katona theorem. Such characterization is, at first glance, less appealing than the one in \cite{sv21}, since the additional information that it provides is indirect. However, the arguments used to prove such characterization provide additional insight on the structure of the extremal families themselves.
Deformations and homotopy theory for Rota-Baxter family algebras
Apurba Das
The concept of Rota-Baxter family algebra is a generalization of Rota-Baxter algebra. It appears naturally in the algebraic aspects of renormalizations in quantum field theory. Rota-Baxter family algebras are closely related to dendriform family algebras. In this paper, we first construct an $L_\infty$-algebra whose Maurer-Cartan elements correspond to Rota-Baxter family algebra structures. Using this characterization, we define the cohomology of a given Rota-Baxter family algebra. As an application of our cohomology, we study formal and infinitesimal deformations of a given Rota-Baxter family algebra. Next, we define the notion of a homotopy Rota-Baxter family algebra structure on a given $A_\infty$-algebra. We end this paper by considering the homotopy version of dendriform family algebras and their relations with homotopy Rota-Baxter family algebras.
Factori asociați cu nivelul scăzut al fertilității în Republica Moldova
Ecaterina Grigoras
The article presents a multivariate analysis of the groups of factors with an impact on the number of children born in the Republic of Moldova. Based on the Gender and Generations Survey conducted in Moldova in 2020, a total sample of 2705 women aged 15-49 years who gave birth to at least one child was selected. Using the binomial logistic regression method, the determinant factors of low levels of fertility were identified. The results showed that the place of residence, level of education, ever using contraceptives, age at first marriage, age at first birth, woman's work status, marital status of women, and the ideal number of children, were significant determinants of the number of children ever born. Women's sociodemographic characteristics showed a low contribution in the prediction of having two children and more: the urban place of residence, higher level of education, late age of mother at first birth, late age at first marriage, the ideal number of children in the family (up to two children), unmarried women, employed women. Orientation of policies to support couples in general and women, in particular, is necessary by combining the activity of raising children with a professional one, women with higher education, families with one child and employed women, and formation of public opinion regarding family planning. The article was elaborated within the State Program Project (2020-2023) 20.80009.0807.21 „Migration, demographic changes, and situation stabilization policies”.
A Spring in the Desert: Infertility and Merciful Accompaniment
K. Henkel, Ann M. Koshute, Stacey Huneck
The mystery of love as it unfolds in marriage is an adventure filled with wonder and anticipation for what the future holds. Such is the excitement and optimism of the couple embarking on family life by actively trying to conceive a child. For the couple struggling with infertility, however, joyful anticipation can soon devolve into anguish as they realize that their hoped-for children might not come. 1 Though the pain of infertility is a shared experience in marriage, it is to the woman that evaluation, testing, and treatment is often directed. She may experience infertility as an assault on her feminine identity, her marriage, and her faith, leaving her vulnerable to reliance on scientific and technological solutions as the only relief for her pain. This turn toward science, if not integrated into the larger framework of overall health and well-being, has the danger of making the natural, good desire for a child into a quest to achieve a single-minded goal. When the child becomes a “goal,” husband, wife, and potential offspring become (unintentionally) objectified, and the woman's identity and the future of her marriage rest precariously on the shoulders of an ideal. It is within the context of the authors’ lived experience of infertility, as well as hundreds of encounters with women in the Springs in the Desert community, that the authors contend that it is necessary to integrate the pain of infertility into a framework of merciful accompaniment. Pastors, physicians, and Fertility Care Providers are all uniquely well-placed to offer support and encouragement that affirm the intrinsic dignity of the wife and her husband, and the truth of their marriage as a witness to Christ in the world. When they meet the woman amidst her pain and longing, they can help her to understand infertility as a circumstance and not her identity. When the pain of infertility is seen and acknowledged, the medical and pastoral care she receives can positively impact her overall health and wellbeing, help her to turn to her husband, and ultimately encourage her to find God in the midst of the struggle.
Peran dan Fungsi Keluarga Dalam Islam
Wirda Wiranti Ritonga
This study examines the role and function in the family according to Islam. The purpose of this study is to recognize, learn, and discuss the roles and functions that the head of the family must carry out for his family members. In Islam, the family has an important meaning where the family is part of the Islamic society and it is in the family that one learns about Islam from childhood. Family in Islam is a household that is built from a marriage between a man and a woman which is carried out according to Islamic religious law that meets the requirements of marriage and the existing pillars of marriage.
Predictors of homophobia in a sample of Romanian young adults: age, gender, spirituality, attachment styles, and moral disengagement
A. Maftei, A. Holman
ABSTRACT Romania has surprised the European Union when, in 2018, the Coalition for Family, along with the ruling Social Democrats party, organised a controversial referendum against the LGBT community, asking to redefine marriage as only being between a man and a woman rather than ‘two spouses’. The present research contributes to a better understanding of the relationship between a series of demographic variables (gender and age), spirituality (spiritual openness and spiritual support), attachment styles (anxiety and avoidance), moral disengagement and homophobia, by studying attitudes of 281 young Romanian adults, aged 18 to 44, within a small period of time after the above mentioned Referendum. A hierarchical regression analysis suggested that the most important predictor of homophobia was spiritual support, followed by spiritual openness, attachment anxiety and moral disengagement. Age and gender were not found to be significant predictors in our model. Results are discussed within the social and psychological context.
Pintando as masculinidades latinoamericanas pela perspectiva pós-colonial e interseccional
Roberta Silveira Pamplona
VIVEROS, Mara. As cores da masculinidade. Experiências internacionais e práticas de poder na Nossa América. Trad. de Allyson de Andrade Perez. Belo Horizonte: Papéis Selvagens, 2018.
From the frontlines to centre stage: resilience of frontline health workers in the context of COVID-19
Priya Nanda, Tom Newton Lewis, Priya Das
et al.
Diseases of the genitourinary system. Urology, The family. Marriage. Woman
Families of Symmetries and the Hydrogen Atom
Nigel Higson, Eyal Subag
We study a new type of symmetry for the hydrogen atom involving algebraic families of groups parametrized by the energy value in the time-independent Schrödinger equation. We construct an algebraic family of Harish-Chandra modules from the solutions of the Schrödinger equation, and we characterize this family. We show that the subspaces of physical states may be obtained from our algebraic family using a Jantzen filtration, and we relate our algebraic methods with spectral theory and scattering theory using the limiting absorption principle
PERKAWINAN CAMPURAN DAN DAMPAK TERHADAP KEWARGANEGARAAN DAN STATUS ANAK MENURUT UNDANG-UNDANG DI INDONESIA
R. Fauzi
Abstract Marriage was a very deep and strong as a liaison between a man and a woman in the form of a family or household. Mixed marriage is a marriage between two people in Indonesia are subjected to different laws, because of differences in nationality and one party of Indonesian nationality. This marriage means there will be loss of one nationality husband or wife, son and citizenship status of children. Abstract Perkawinan merupakan suatu ikatan yang sangat dalam dan kuat sebagai penghubung antara seorang pria dengan seorang wanita dalam membentuk suatu keluarga atau rumah tangga. Perkawinan Campuran ialah perkawinan antara dua orang yang di Indonesia tunduk pada hukum yang berlainan, karena perbedaan kewarganegaraan dan salah satu pihak berkewarganegaraan Indonesia . Perkawinan ini berakibatkan akan hilangnya salah satu kewarganegaraan suami atau istri, status anak dan kewarganegaraan anak.
15 sitasi
en
Political Science
Psychological peculiarities of the professional self-determination of social orphans in senior adolescence
Roza Alimbayeva, Marzhangul Baimukanova, Raikhan Sabirova
et al.
The purpose of this study was to investigate the psychological peculiarities of the professional self-determination of social orphans in senior adolescence. Two hundred sixty orphans aged 14–16, residing in Central Kazakhstan, were examined to determine the aptitude of orphan asylum adolescents to certain professions. Statistical analysis of male and female groups (p ≤ 0.002) found differences in the following characteristics. The typical spheres for girls were ‘individual-individual’ and ‘individual-imagery’. They focused on communication in professional activity and creativity. The typical spheres for girls were ‘individual-machinery’ and ‘individual – semiotic system’. Statistical differences were found in such professional spheres as law, transport, pedagogy, service sector, engineering, and electric engineering. The results of this study can be used in professional consultations and trainings for successful employment of social orphans.
Special aspects of education, The family. Marriage. Woman