scholarly journals Antichain Toggling and Rowmotion

10.37236/7454 ◽  
2019 ◽  
Vol 26 (1) ◽  
Author(s):  
Michael Joseph
Keyword(s):  
Piecewise Linear ◽  
Algebraic Combinatorics ◽  
Finite Poset ◽  
Order Ideals ◽  
Almost All ◽  
The Relationship ◽  
Linear Setting ◽  
Families Of Subsets

In this paper, we analyze the toggle group on the set of antichains of a poset. Toggle groups, generated by simple involutions, were first introduced by Cameron and Fon-Der-Flaass for order ideals of posets. Recently Striker has motivated the study of toggle groups on general families of subsets, including antichains. This paper expands on this work by examining the relationship between the toggle groups of antichains and order ideals, constructing an explicit isomorphism between the two groups (for a finite poset). We also focus on the rowmotion action on antichains of a poset that has been well-studied in dynamical algebraic combinatorics, describing it as the composition of antichain toggles. We also describe a piecewise-linear analogue of toggling to the Stanley’s chain polytope. We examine the connections with the piecewise-linear toggling Einstein and Propp introduced for order polytopes and prove that almost all of our results for antichain toggles extend to the piecewise-linear setting.

scholarly journals The order of birational rowmotion

2014 ◽  
Vol DMTCS Proceedings vol. AT,... (Proceedings) ◽  
Author(s):  
Darij Grinberg ◽  
Tom Roby
Keyword(s):  
Recent Work ◽  
Finite Order ◽  
Piecewise Linear ◽  
Finite Poset ◽  
Natural Operation ◽  
International Audience ◽  
Order Ideals ◽  
Linear Setting

International audience Various authors have studied a natural operation (under various names) on the order ideals (equivalently antichains) of a finite poset, here called \emphrowmotion. For certain posets of interest, the order of this map is much smaller than one would naively expect, and the orbits exhibit unexpected properties. In very recent work (inspired by discussions with Berenstein) Einstein and Propp describe how rowmotion can be generalized: first to the piecewise-linear setting of order polytopes, then via detropicalization to the birational setting. In the latter setting, it is no longer \empha priori clear even that birational rowmotion has finite order, and for many posets the order is infinite. However, we are able to show that birational rowmotion has the same order, p+q, for the poset P=[p]×[q] (product of two chains), as ordinary rowmotion. We also show that birational (hence ordinary) rowmotion has finite order for some other classes of posets, e.g., the upper, lower, right and left halves of the poset above, and trees having all leaves on the same level. Our methods are based on those used by Volkov to resolve the type AA (rectangular) Zamolodchikov Periodicity Conjecture.

Contemporary Qur'anic Studies in Iran and its Relationship with Qur'anic Studies in the West

2012 ◽  
Vol 14 (1) ◽  
pp. 45-72
Author(s):  
Morteza Karimi-Nia
Keyword(s):  
Islamic Law ◽  
Human Sciences ◽  
The West ◽  
Communications Technologies ◽  
Religious Learning ◽  
The Status ◽  
Islamic Republic Of Iran ◽  
Almost All ◽  
The Impact ◽  
The Relationship

The status of tafsīr and Qur'anic studies in the Islamic Republic of Iran has changed significantly during recent decades. The essay provides an overview of the state of Qur'anic studies in Iran today, aiming to examine the extent of the impact of studies by Western scholars on Iranian academic circles during the last three decades and the relationship between them. As in most Islamic countries, the major bulk of academic activity in Iran in this field used to be undertaken by the traditional ʿulamāʾ; however, since the beginning of the twentieth century and the establishment of universities and other academic institutions in the Islamic world, there has been increasing diversity and development. After the Islamic Revolution, many gradual changes in the structure and approach of centres of religious learning and universities have occurred. Contemporary advancements in modern sciences and communications technologies have gradually brought the institutions engaged in the study of human sciences to confront the new context. As a result, the traditional Shīʿī centres of learning, which until 50 years ago devoted themselves exclusively to the study of Islamic law and jurisprudence, today pay attention to the teaching of foreign languages, Qur'anic sciences and exegesis, including Western studies about the Qur'an, to a certain extent, and recognise the importance of almost all of the human sciences of the West.

scholarly journals Double parton distributions in the pion from lattice QCD

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Gunnar S. Bali ◽  
Luca Castagnini ◽  
Markus Diehl ◽  
Jonathan R. Gaunt ◽  
Benjamin Gläßle ◽  
...  
Keyword(s):  
Spatial Distribution ◽  
Lattice Qcd ◽  
Quark Mass ◽  
Matrix Elements ◽  
Parton Distributions ◽  
Almost All ◽  
The Relationship

Abstract We perform a lattice study of double parton distributions in the pion, using the relationship between their Mellin moments and pion matrix elements of two local currents. A good statistical signal is obtained for almost all relevant Wick contractions. We investigate correlations in the spatial distribution of two partons in the pion, as well as correlations involving the parton polarisation. The patterns we observe depend significantly on the quark mass. We investigate the assumption that double parton distributions approximately factorise into a convolution of single parton distributions.

scholarly journals Bayonet-shaped language development in autism with regression: a retrospective study

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
David Gagnon ◽  
Abderrahim Zeribi ◽  
Élise Douard ◽  
Valérie Courchesne ◽  
Borja Rodríguez-Herreros ◽  
...  
Keyword(s):  
Language Development ◽  
Linear Models ◽  
Autism Spectrum ◽  
Early Language ◽  
Verbal Iq ◽  
Logistic Regression Models ◽  
Language Level ◽  
Language Outcome ◽  
Almost All ◽  
The Relationship

Abstract Background Language delay is one of the major referral criteria for an autism evaluation. Once an autism spectrum diagnosis is established, the language prognosis is among the main parental concerns. Early language regression (ELR) is observed by 10–50% of parents but its relevance to late language level and socio-communicative ability is uncertain. This study aimed to establish the predictive value of ELR on the progression of language development and socio-communicative outcomes to guide clinicians in addressing parents’ concerns at the time of diagnosis. Methods We used socio-communicative, language, and cognitive data of 2,047 autism spectrum participants from the Simons Simplex Collection, aged 4–18 years (mean = 9 years; SD = 3.6). Cox proportional hazard and logistic regression models were used to evaluate the effect of ELR on language milestones and the probability of using complex and flexible language, as defined by the choice of ADOS module at enrollment. Linear models were then used to evaluate the relationship of ELR and non-verbal IQ with socio-communicative and language levels. Results ELR is associated with earlier language milestones but delayed attainment of fluent, complex, and flexible language. However, this language outcome can be expected for almost all autistic children without intellectual disability at 18 years of age. It is mostly influenced by non-verbal IQ, not ELR. The language and socio-communicative level of participants with flexible language, as measured by the Vineland and ADOS socio-communicative subscales, was not affected by ELR. Limitations This study is based on a relatively coarse measure of ultimate language level and relies on retrospective reporting of early language milestones and ELR. It does not prospectively document the age at which language catches up, the relationship between ELR and other behavioral areas of regression, nor the effects of intervention. Conclusions For autistic individuals with ELR and a normal level of non-verbal intelligence, language development follows a “bayonet shape” trajectory: early first words followed by regression, a plateau with limited progress, and then language catch up.

Association between Procalcitonin and Acute Kidney Injury in Patients with Bacterial Septic Shock

2021 ◽  
pp. 1-10
Author(s):  
Guang Fu ◽  
Hai-chao Zhan ◽  
Hao-li Li ◽  
Jun-fu Lu ◽  
Yan-hong Chen ◽  
...  
Keyword(s):  
Septic Shock ◽  
Acute Kidney Injury ◽  
Logistic Regression ◽  
Piecewise Linear ◽  
Kidney Injury ◽  
Multiple Logistic Regression ◽  
Primary Analysis ◽  
Female Patients ◽  
Potential Biomarker ◽  
The Relationship

Objective: The objective of this study was to assess the relationship between serum procalcitonin (PCT) and acute kidney injury (AKI) induced by bacterial septic shock. Methods: A retrospective study was designed which included patients who were admitted to the ICU from January 2015 to October 2018. Multiple logistic regression and receiver operating characteristic (ROC) as well as smooth curve fitting analysis were used to assess the relationship between the PCT level and AKI. Results: Of the 1,631 patients screened, 157 patients were included in the primary analysis in which 84 (53.5%) patients were with AKI. Multiple logistic regression results showed that PCT (odds ratio [OR] = 1.017, 95% confidence interval [CI] 1.009–1.025, p < 0.001) was associated with AKI induced by septic shock. The ROC analysis showed that the cutoff point for PCT to predict AKI development was 14 ng/mL, with a sensitivity of 63% and specificity 67%. Specifically, in multivariate piecewise linear regression, the occurrence of AKI decreased with the elevation of PCT when PCT was between 25 ng/mL and 120 ng/mL (OR 0.963, 95% CI 0.929–0.999; p = 0.042). The AKI increased with the elevation of PCT when PCT was either <25 ng/mL (OR 1.077, 95% CI 1.022–1.136; p = 0.006) or >120 ng/mL (OR 1.042, 95% CI 1.009–1.076; p = 0.013). Moreover, the PCT level was significantly higher in the AKI group only in female patients aged ≤75 years (p = 0.001). Conclusions: Our data revealed a nonlinear relationship between PCT and AKI in septic shock patients, and PCT could be used as a potential biomarker of AKI in female patients younger than 75 years with bacterial septic shock.

Actual Challenges, Risks and Security Safety

2020 ◽  
Vol 1 (1) ◽  
pp. 65-83
Author(s):  
Božidar Forca ◽  
Dragoljub Sekulović ◽  
Igor Vukonjanski
Keyword(s):  
National Security ◽  
Modern World ◽  
Security Strategy ◽  
Theoretical Understanding ◽  
National Security Strategy ◽  
Security Challenges ◽  
Wide Range ◽  
The Subject ◽  
Almost All ◽  
The Relationship

Security is one of the most common terms in the modern world. This statement is supported by the fact that the term security is used in a wide range of areas. The subject of this paper is national security and the challenges, risks and threats to that security in contemporary international relations. The purpose of the work is twofold. First, to show the diversity of theoretical understanding of the term challenge, risk and threat by various authors. On the other hand, the overriding goal is to analyze the relationship to the challenges, risks and threats in different countries. When it comes to national security, challenges, risks and threats, most often, are identified in a document called the national security strategy. This document, as one of the highest in the hierarchy of political acts of every state, when it comes to security, is passed by almost all modern states of the world. The analysis of numerous national security strategies has revealed that it is possible to identify: 1) the challenges, risks and threats that appear in all strategies, 2) the challenges, risks and threats of security that appear in most strategies, and 3) the challenges, risks and threats of security which are country specific.

scholarly journals An Analysis of the Post-War Community Relations between Buddhists and Muslims in Sri Lanka: A Muslim’s Perspective

2016 ◽  
Vol 9 (6) ◽  
pp. 42
Author(s):  
Ahmad Sunawari Long ◽  
Khaidzir Hj. Ismail ◽  
Kamarudin Salleh ◽  
Saadiah Kumin ◽  
Halizah Omar ◽  
...  
Keyword(s):  
Sri Lanka ◽  
Total Population ◽  
Community Relations ◽  
Religious Groups ◽  
Islam And Christianity ◽  
Post War ◽  
Almost All ◽  
Religious Aspects ◽  
The Relationship ◽  
Community Relationship

Sri Lanka is a multi-ethnic, multi-religious country comprising four of the world’s major religions: Buddhism, Hinduism, Islam and Christianity. Buddhists are the predominant ethnic group, constituting 70.19% of the total population, while Muslims make up the second largest minority in the country. There are many records in the history to prove well the cordial relationship between Buddhists and Muslims in Sri Lanka. However, in the past couple of years, particularly during the aftermath of the civil war, tension may be observed in the relationship between these two religious groups. This is due to a campaign undertaken by a several Buddhist nationalist groups whose intensions are to create a division among these respective societies. These groups have been carrying protests against Muslim social, cultural and religious aspects, including issuing Halal certification, slaughtering of cattle, conducting prayer services, etc. Moreover, they have disseminated misinterpretations about Muslims and Islam with derogatory speeches among the Buddhist public, for the purpose of accomplishing above division. Given the above backdrop, this paper attempts to determine the post-war relationship between Muslims and Buddhists in the country, including major interrupting factors, through analyzing Muslims’ point of views. According to the results, there is no remarkable fluctuation in the relationships between Muslims and Buddhists, and Muslims have posited that there are several social, cultural and religious practices them that act as significant barriers to maintaining a better community relationship with Buddhists, such as slaughtering of cattle for meals. Therefore, almost all of the Muslims have been demanding proper guidelines regarding the slaughtering of cattle, the Niqabs (face cover of Muslim women), and other factors related to interrupting a better interaction with the Buddhists for better cordiality, within the context of Sri Lanka.

scholarly journals University Students Seeking Hormonal Emergency Contraception: Why Do They Not Want Pregnancy Now? When is it Suitable to Have Children?

2004 ◽  
pp. 119-131
Author(s):  
Aira Virtala ◽  
Irma Virjo
Keyword(s):  
University Students ◽  
Emergency Contraception ◽  
Consensus Method ◽  
Student Health ◽  
Life Situation ◽  
The Future ◽  
Almost All ◽  
The Relationship

University students who sought hormonal emergency contraception (EC) in the Tampere Student Health Station during the period 1.9.2000-31.12.2001 received a questionnaire on their use of it. Of the total, 114 responded (67%). The aim of this study was to ascertain why the respondents did not want to get pregnant now and when it would be suitable for them to get children. Free answers to these questions were analysed using a collective consensus method. The main reasons for not wanting pregnancy now were un? nished studies and the non-steady character of the relationship. Almost all planned to become pregnant some day in the future when their life situation was appropriate, usually at the age of about 30 years.

scholarly journals Autonomy and Attachment in Relationships with Parents in the Context of Students’ Real Self-Determination

2021 ◽  
Vol 12 (1) ◽  
pp. 113-125
Author(s):  
D.A. Krasilo ◽  
T.A. Krassilo ◽  
A.N. Zalipaeva
Keyword(s):  
Inverse Relationship ◽  
Self Determination ◽  
Education Environment ◽  
Cognitive Autonomy ◽  
Positive Correlations ◽  
Almost All ◽  
Relationship Of ◽  
Real Self ◽  
The Relationship

Objectives. Studying the relationship of autonomy and attachment in relationships with parents with real self-determination in students. Background. The growing world globalization, intercultural contradictions, confrontation within society seriously complicate the path of self-determination of modern youth. At the same time, due to technical progress and digitalization of the communication and education environment, there are significant transformations in the interaction of people in almost all spheres, including in the family. Therefore, the question of studying the most important aspects in the relationship of young people with their parents for real self-determination is especially acute. Study design. The work studied the indicators of real self-determination, attachment to parents and autonomy among students. The presence of a relationship between these parameters was established by calculating the Spearman correlation coefficient. Participants. 60 college students aged 18 to 21. Measurements. Methodology “Scale of adult attachment for close relationships”; autonomy questionnaire (authors O.A. Karabanova and N.N. Poskrebysheva); questionnaire “ORS” (author D.A. Krasilo). Results. An inverse relationship of indicators of real self-determination of students with the level of intimacy and the level of anxiety (scales of attachment to parents) was established. A direct relationship was revealed between the indicators of real self-determination and the level of autonomy. Conclusions. Proximity and anxiety (components of attachment) have a significant inverse relationship with the level of real self-determination in students. There are no significant connections between reliability (a component of attachment) and real self-determination in the sample under study. Emotional autonomy, cognitive autonomy, behavioral autonomy, and value autonomy have significant positive correlations with the level of real self-determination in students.

scholarly journals Evaluation of the relationship between MIH severity and dental fear among the children

2019 ◽  
Vol 6 (10) ◽  
pp. 284-287
Author(s):  
Can Özükoç
Keyword(s):  
Behavioral Problems ◽  
Dental Anxiety ◽  
Pediatric Dentistry ◽  
Dental Fear ◽  
Common Condition ◽  
Molar Incisor Hypomineralization ◽  
Significant Difference ◽  
Fear Survey Schedule ◽  
Almost All ◽  
The Relationship

Objective: Molar incisor hypomineralization (MIH), a quite common condition in pediatric dentistry, whose treatment might seem complicated, manifests itself with severe dental anxiety and fear that can cause behavioral problems. Although dental fear is seen in almost all cases, it is believed that dental fear will increase as the severity of MIH increases. This study evaluates the relationship between MIH severity and dental fear. Material and Methods: Children Fear Survey Schedule-Dental Subscale (CFSS-DS) was used to measure dental fear in 58 (51.79%) children whose teeth suffered from mild, moderate or severe MIH and 54 (48.21%) children with healthy teeth. Scores between 1 (not afraid at all) and 5 (very afraid) were given according to the responses. Each question was evaluated separately in order to obtain the total score. Results: Children with severe MIH who participated in the study were proved to be more afraid of the dentists, drill sounds, injections, placement of instruments in the mouth, choking and going to the hospital; and there was a statistically significant difference (p<0.05). Conclusion: Although it was observed that the severity of MIH and dental fear are correlated and dental fear increases with the increase in the MIH severity, further studies in this subject are necessary.

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