The Simplest Solution to an Underdetermined System of Linear Equations

Consider a d*n matrix A, with d<n. The problem of solving for x in y=Ax is underdetermined, and has infinitely many solutions (if there are any). Given y, the minimum Kolmogorov complexity solution (MKCS) of the input x is defined to be an input z (out of many) with minimum Kolmogorov-complexity that satisfies y=Az. One expects that if the actual input is simple enough, then MKCS will recover the input exactly. This paper presents a preliminary study of the existence and value of the complexity level up to which such a complexity-based recovery is possible. It is shown that for the set of all d*n binary matrices (with entries 0 or 1 and d<n), MKCS exactly recovers the input for an overwhelming fraction of the matrices provided the Kolmogorov complexity of the input is O(d). A weak converse that is loose by a log n factor is also established for this case. Finally, we investigate the difficulty of finding a matrix that has the property of recovering inputs with complexity of O(d) using MKCS.Comment: Proceedings of the IEEE International Symposium on Information Theory Seattle, Washington, July 9-14, 200

Identifying the relationship of parenting styles and parent’s perfectionism with normal students’ and gifted students’ perfectionism

Psychologists stated that parents’ functions and behaviors influence the formation of children’s thoughts, behaviors and emotions This study aimed to identify the relationship of parenting styles and parents’ perfectionism with normal students’ perfectionism and gifted students’ perfectionism. The study is a descriptive correlation study. The population consisted of all normal and gifted female high school students of Karaj. A sample of 200 students was selected using random sampling method. Data was collected using Hill’s perfectionism questionnaire and BAUMRIND’s parenting styles questionnaire. Researcher used simultaneous multivariate regression and independent sample t-test methods for data analysis. The results showed that there is a statistically significant difference between perfectionism of normal student’s parents and perfectionism of gifted student’s parents but there is no statistically significant difference between their parenting styles. There is a statistically significant difference between perfectionism of normal students and perfectionism of gifted students. Results also showed that adaptive and maladaptive perfectionism of students are not predictable based on the perfectionism and parenting styles of parents

Public COVID-19 vaccination acceptance: A narrative review of correlated factors

Following the discovery of the first instances of COVID-19 in nations and the subsequent announcement of a “pandemic” by WHO, worldwide efforts to identify efficient methods to combat COVID-19 began. One of the most effective solutions is to carry out widespread vaccination against the virus. Despite this, some members of the community refuse to be vaccinated. The present paper reviews the potential causes and factors correlating with people's hesitation to receive COVID-19 vaccines. This article is a narrative review paper. We searched PubMed, Scopus, and Web of Science databases using COVID-19, Vaccine, Acceptance, and Hesitancy keywords. Qualitative content analysis was performed and associated predictors with public vaccination acceptance were identified. According to the study,  hesitation in receiving COVID-19 vaccines, regardless of the countries, is significant among females, lower ages, lower education level, doubt about efficacy, and concerns about the safety of the vaccines, history of not receiving vaccines, especially the influenza vaccine, distrust of regional or national health officials, low level of health literacy and lack of information, fear of side effects and other complications, doubt of pharmaceutical companies and fear of lobbying, presence of chronic underlying diseases and comorbidities, lower socioeconomic status and racial or religious minorities. According to the results, several factors can influence individuals' uncertainty about COVID-19 vaccines. Given the importance of vaccinating the majority of the community to achieve mass immunity, healthcare systems should consider the vaccine acceptance rate to be a vital and substantial factor.Keywords: COVID-19; Vaccination Refusal; Review

Effect of Intermediate-Dose vs Standard-Dose Prophylactic Anticoagulation on Thrombotic Events, Extracorporeal Membrane Oxygenation Treatment, or Mortality among Patients with COVID-19 Admitted to the Intensive Care Unit: The INSPIRATION Randomized Clinical Trial

Importance: Thrombotic events are commonly reported in critically ill patients with COVID-19. Limited data exist to guide the intensity of antithrombotic prophylaxis. Objective: To evaluate the effects of intermediate-dose vs standard-dose prophylactic anticoagulation among patients with COVID-19 admitted to the intensive care unit (ICU). Design, Setting, and Participants: Multicenter randomized trial with a 2 � 2 factorial design performed in 10 academic centers in Iran comparing intermediate-dose vs standard-dose prophylactic anticoagulation (first hypothesis) and statin therapy vs matching placebo (second hypothesis; not reported in this article) among adult patients admitted to the ICU with COVID-19. Patients were recruited between July 29, 2020, and November 19, 2020. The final follow-up date for the 30-day primary outcome was December 19, 2020. Interventions: Intermediate-dose (enoxaparin, 1 mg/kg daily) (n = 276) vs standard prophylactic anticoagulation (enoxaparin, 40 mg daily) (n = 286), with modification according to body weight and creatinine clearance. The assigned treatments were planned to be continued until completion of 30-day follow-up. Main Outcomes and Measures: The primary efficacy outcome was a composite of venous or arterial thrombosis, treatment with extracorporeal membrane oxygenation, or mortality within 30 days, assessed in randomized patients who met the eligibility criteria and received at least 1 dose of the assigned treatment. Prespecified safety outcomes included major bleeding according to the Bleeding Academic Research Consortium (type 3 or 5 definition), powered for noninferiority (a noninferiority margin of 1.8 based on odds ratio), and severe thrombocytopenia (platelet count &lt;20 �103/µL). All outcomes were blindly adjudicated. Results: Among 600 randomized patients, 562 (93.7) were included in the primary analysis (median interquartile range age, 62 50-71 years; 237 42.2% women). The primary efficacy outcome occurred in 126 patients (45.7%) in the intermediate-dose group and 126 patients (44.1%) in the standard-dose prophylaxis group (absolute risk difference, 1.5% 95% CI,-6.6% to 9.8%; odds ratio, 1.06 95% CI, 0.76-1.48; P =.70). Major bleeding occurred in 7 patients (2.5%) in the intermediate-dose group and 4 patients (1.4%) in the standard-dose prophylaxis group (risk difference, 1.1% 1-sided 97.5% CI,-� to 3.4%; odds ratio, 1.83 1-sided 97.5% CI, 0.00-5.93), not meeting the noninferiority criteria (P for noninferiority &gt;.99). Severe thrombocytopenia occurred only in patients assigned to the intermediate-dose group (6 vs 0 patients; risk difference, 2.2% 95% CI, 0.4%-3.8%; P =.01). Conclusions and Relevance: Among patients admitted to the ICU with COVID-19, intermediate-dose prophylactic anticoagulation, compared with standard-dose prophylactic anticoagulation, did not result in a significant difference in the primary outcome of a composite of adjudicated venous or arterial thrombosis, treatment with extracorporeal membrane oxygenation, or mortality within 30 days. These results do not support the routine empirical use of intermediate-dose prophylactic anticoagulation in unselected patients admitted to the ICU with COVID-19. Trial Registration: ClinicalTrials.gov Identifier: NCT04486508. © 2021 American Medical Association. All rights reserved

Identifying the relationship of parenting styles and parent’s perfectionism with normal students’ and gifted students’ perfectionism

Psychologists stated that parents’ functions and behaviors influence the formation of children’s thoughts, behaviors and emotions This study aimed to identify the relationship of parenting styles and parents’ perfectionism with normal students’ perfectionism and gifted students’ perfectionism. The study is a descriptive correlation study. The population consisted of all normal and gifted female high school students of Karaj. A sample of 200 students was selected using random sampling method. Data was collected using Hill’s perfectionism questionnaire and BAUMRIND’s parenting styles questionnaire. Researcher used simultaneous multivariate regression and independent sample t-test methods for data analysis. The results showed that there is a statistically significant difference between perfectionism of normal student’s parents and perfectionism of gifted student’s parents but there is no statistically significant difference between their parenting styles. There is a statistically significant difference between perfectionism of normal students and perfectionism of gifted students. Results also showed that adaptive and maladaptive perfectionism of students are not predictable based on the perfectionism and parenting styles of parents

Bioinformatic HLA Studies in the Context of SARS-CoV-2 Pandemic and Review on Association of HLA Alleles with Preexisting Medical Conditions

After the announcement of a new coronavirus in China in December 2019, which was then called SARS-CoV-2, this virus changed to a global concern and it was then declared as a pandemic by WHO. Human leukocyte antigen (HLA) alleles, which are one of the most polymorphic genes, play a pivotal role in both resistance and vulnerability of the body against viruses and other infections as well as chronic diseases. The association between HLA alleles and preexisting medical conditions such as cardiovascular diseases and diabetes mellitus is reported in various studies. In this review, we focused on the bioinformatic HLA studies to summarize the HLA alleles which responded to SARS-CoV-2 peptides and have been used to design vaccines. We also reviewed HLA alleles that are associated with comorbidities and might be related to the high mortality rate among COVID-19 patients. Since both genes and patients’ medical conditions play a key role in both severity of the disease and the mortality rate in COVID-19 patients, a better understanding of the connection between HLA alleles and SARS-CoV-2 can provide a wider perspective on the behavior of the virus. Such understanding can help scientists, especially in terms of protecting healthcare workers and designing effective vaccines

Thermal Conductance along Hexagonal Boron Nitride and Graphene Grain Boundaries

We carried out molecular dynamics simulations at various temperatures to predict the thermal conductivity and the thermal conductance of graphene and hexagonal boron-nitride (h-BN) thin films. Therefore, several models with six different grain boundary configurations ranging from 33–140 nm in length were generated. We compared our predicted thermal conductivity of pristine graphene and h-BN with previously conducted experimental data and obtained good agreement. Finally, we computed the thermal conductance of graphene and h-BN sheets for six different grain boundary configurations, five sheet lengths ranging from 33 to 140 nm and three temperatures (i.e., 300 K, 500 K and 700 K). The results show that the thermal conductance remains nearly constant with varying length and temperature for each grain boundary