Superpolynomial lower bounds for general homogeneous depth 4 arithmetic circuits

In this paper, we prove superpolynomial lower bounds for the class of homogeneous depth 4 arithmetic circuits. We give an explicit polynomial in VNP of degree $n$ in $n^2$ variables such that any homogeneous depth 4 arithmetic circuit computing it must have size $n^{\Omega(\log \log n)}$. Our results extend the works of Nisan-Wigderson [NW95] (which showed superpolynomial lower bounds for homogeneous depth 3 circuits), Gupta-Kamath-Kayal-Saptharishi and Kayal-Saha-Saptharishi [GKKS13, KSS13] (which showed superpolynomial lower bounds for homogeneous depth 4 circuits with bounded bottom fan-in), Kumar-Saraf [KS13a] (which showed superpolynomial lower bounds for homogeneous depth 4 circuits with bounded top fan-in) and Raz-Yehudayoff and Fournier-Limaye-Malod-Srinivasan [RY08, FLMS13] (which showed superpolynomial lower bounds for multilinear depth 4 circuits). Several of these results in fact showed exponential lower bounds. The main ingredient in our proof is a new complexity measure of {\it bounded support} shifted partial derivatives. This measure allows us to prove exponential lower bounds for homogeneous depth 4 circuits where all the monomials computed at the bottom layer have {\it bounded support} (but possibly unbounded degree/fan-in), strengthening the results of Gupta et al and Kayal et al [GKKS13, KSS13]. This new lower bound combined with a careful "random restriction" procedure (that transforms general depth 4 homogeneous circuits to depth 4 circuits with bounded support) gives us our final result

Investigating gender differences in consumers’ experience of guilt: A comparative study

YesThe literature of guilt in the context of consumer behavior is notably limited. It is particularly limited with respect to examining gender differences across nations. Existing studies have only evaluated gender differences, in terms of consumer guilt, in the United States. In addition, those studies evaluated gender differences in specific consumption situations such as consumer boycotting and food consumption. Thus, they do not give a comprehensive understanding of gender variations in consumer guilt. Notably, gender differences with regard to consumer guilt were shown to be limited in countries other than the United States. These studies provided contradictory results to established findings in social psychology. In view of this, by using quantitative techniques, numerous consumption settings, and samples from two distinct countries, this study provides a holistic assessment of gender differences in consumer guilt across nations. The findings indicate that gender differences, with respect to consumer guilt, are predominately present in individualistic countries and notably absent in collectivist countries. Hence, marketers should consider gender as an influential variable when devising guilt related strategies in individualistic countries. In contrast, marketers may reconsider allocating resources, with respect to gender related marketing strategies, in collectivist countries

Consumer Guilt Review: A Practical Guide for Researchers

YesA systematic review of the literature of guilt in consumer behavior revealed a lack of diversity in respect of various factors that affect the elicitation of guilt-induced behavior. These factors are the cause of guilt (self, society, others/action, inaction); the form in which guilt manifests (anticipatory, reactive, existential); and moderators (culture, demographics, narratives). Implicitly, the review illustrated that researchers exhibit a tendency towards assessing reactive guilt caused by the self in individualistic cultures. Such findings cannot be generalized to encompass other forms of guilt that had alternate causes, nor be applied in collectivist cultures. Such considerations are imperative, due to guilt’s inherent complexity. Therefore, this review provides a guide for future research based on these factors, and introduces e-guilt, as sufficient evidence suggests that online settings present incomparable circumstances where one’s behavior is visible and irretrievable

Multi-epoch hard X-ray view of Compton-thick AGN Circinus Galaxy

The circumnuclear material around Active Galactic Nuclei (AGN) is one of the essential components of the obscuration-based unification model. However, our understanding of the circumnuclear material in terms of its geometrical shape, structure and its dependence on accretion rate is still debated. In this paper, we present the multi-epoch broadband X-ray spectral modelling of a nearby Compton-thick AGN in Circinus galaxy. We utilise all the available hard X-ray ($> 10$ keV) observations taken from different telescopes, $i.e.,$ $BeppoSAX$, $Suzaku$, $NuSTAR$ and $AstroSat$, at ten different epochs across $22$ years from $1998$ to $2020$. The $3.0-79$ keV broadband X-ray spectral modelling using physically-motivated models, namely MYTORUS, BORUS02 and UXCLUMPY, infers the presence of a torus with a low covering factor of $0.28$, an inclination angle of $77^{\circ}$ $-$ $81^{\circ}$ and Compton-thick line-of-sight column densities ($N_{\rm H,LOS} = 4.13~-~9.26~\times~10^{24}$ cm$^{-2}$) in all the epochs. The joint multi-epoch spectral modelling suggests that the overall structure of the torus is likely to remain unchanged. However, we find tentative evidence for the variable line-of-sight column density on timescales ranging from one day to one week to a few years, suggesting a clumpy circumnuclear material located at sub-parsec to tens of parsec scales.Comment: 18 pages, 7 figures, 6 tables, accepted for publication in Monthly Notices of the Royal Astronomical Societ

Quantitative Analysis of Cadaveric Pelvic Lymph Nodes

Introduction: Lymphedema commonly develops as a result of cancer treatments, including surgical removal of lymph nodes (LN). Research suggests there are 500-800 (LN) throughout the body. Deciding how many LN to remove and predicting possible severity of damage can become problematic when the range of LN in one area can vary by 30 LN. Objective: The purpose of this study was to investigate more precise ranges of pelvic LN within cadaver samples. Methods: Quantification of LN for number occurred on cadavers simultaneous with DO, PT, and PA students’ dissections. Demographics of the cadavers were 27 female, 16 male, 39 Caucasian, 3 African American, 1 Asian, with an age range of 42-102 and a mean of 70. The study utilized anatomical landmarks to identify and label the LN. Cadavers (N=43) inspected for lumbar LN and cadavers (N=86 sides) inspected for sacral, common, deep and superficial inguinal, and internal and external iliac LN. Results: Quantitative analysis of the pelvic region LN revealed a power analysis value of 0.733 with 43 cadaver sample size (unpaired LN regions) and a value of 0.954 with a 86 cadaver sample size (paired LN regions). Analysis of LN in unpaired lumbar region revealed the true mean of the LN lies between 20-28 [CI=95] while previous data shows LN quantity ranging from 20-50. The true mean of LN in paired regions lies between [CI=95] from 6-10 (numerical range 5-30) for the common iliac, 2-3 (numerical range 2-3) for the sacral, 5-7 (numerical range 4-18) for the internal iliac, 10-13 (numerical range 5-25) for the external iliac, 2-4(numerical range 1-3) for the deep inguinal, and 9-12 (numerical range 4-25) for the superficial inguinal. Conclusions: This study found reduced numbers of LN per 5 of the 7 regions from previous estimates. The common iliac and deep inguinal ranges did not change. These results could improve a surgeon’s informed decision on the number of LN to remove with staging and treating cancer

Quantifying uncertainty in the measurement of arsenic in suspended particulate matter by Atomic Absorption Spectrometry with hydride generator

Arsenic is the toxic element, which creates several problems in human being specially when inhaled through air. So the accurate and precise measurement of arsenic in suspended particulate matter (SPM) is of prime importance as it gives information about the level of toxicity in the environment, and preventive measures could be taken in the effective areas. Quality assurance is equally important in the measurement of arsenic in SPM samples before making any decision. The quality and reliability of the data of such volatile elements depends upon the measurement of uncertainty of each step involved from sampling to analysis. The analytical results quantifying uncertainty gives a measure of the confidence level of the concerned laboratory. So the main objective of this study was to determine arsenic content in SPM samples with uncertainty budget and to find out various potential sources of uncertainty, which affects the results. Keeping these facts, we have selected seven diverse sites of Delhi (National Capital of India) for quantification of arsenic content in SPM samples with uncertainty budget following sampling by HVS to analysis by Atomic Absorption Spectrometer-Hydride Generator (AAS-HG). In the measurement of arsenic in SPM samples so many steps are involved from sampling to final result and we have considered various potential sources of uncertainties. The calculation of uncertainty is based on ISO/IEC17025: 2005 document and EURACHEM guideline. It has been found that the final results mostly depend on the uncertainty in measurement mainly due to repeatability, final volume prepared for analysis, weighing balance and sampling by HVS. After the analysis of data of seven diverse sites of Delhi, it has been concluded that during the period from 31st Jan. 2008 to 7th Feb. 2008 the arsenic concentration varies from 1.44 ± 0.25 to 5.58 ± 0.55 ng/m3 with 95% confidence level (k = 2)

Effect of platelet lysate on human cells involved in different phases of wound healing

Background Platelets are rich in mediators able to positively affect cell activity in wound healing. Aim of this study was to characterize the effect of different concentrations of human pooled allogeneic platelet lysate on human cells involved in the different phases of wound healing (inflammatory phase, angiogenesis, extracellular matrix secretion and epithelialization). Methodology/Principal Findings Platelet lysate effect was studied on endothelial cells, monocytes, fibroblasts and keratinocytes, in terms of viability and proliferation, migration, angiogenesis, tissue repair pathway activation (ERK1/2) and inflammatory response evaluation (NFκB). Results were compared both with basal medium and with a positive control containing serum and growth factors. Platelet lysate induced viability and proliferation at the highest concentrations tested (10% and 20% v/v). Whereas both platelet lysate concentrations increased cell migration, only 20% platelet lysate was able to significantly promote angiogenic activity (p<0.05 vs. control), comparably to the positive control. Both platelet lysate concentrations activated important inflammatory pathways such as ERK1/2 and NFκB with the same early kinetics, whereas the effect was different for later time-points. Conclusion/Significance These data suggest the possibility of using allogeneic platelet lysate as both an alternative to growth factors commonly used for cell culture and as a tool for clinical regenerative application for wound healing

A Method for Amplicon Deep Sequencing of Drug Resistance Genes in Plasmodium falciparum Clinical Isolates from India.

A major challenge to global malaria control and elimination is early detection and containment of emerging drug resistance. Next-generation sequencing (NGS) methods provide the resolution, scalability, and sensitivity required for high-throughput surveillance of molecular markers of drug resistance. We have developed an amplicon sequencing method on the Ion Torrent PGM platform for targeted resequencing of a panel of six Plasmodium falciparum genes implicated in resistance to first-line antimalarial therapy, including artemisinin combination therapy, chloroquine, and sulfadoxine-pyrimethamine. The protocol was optimized using 12 geographically diverse P. falciparum reference strains and successfully applied to multiplexed sequencing of 16 clinical isolates from India. The sequencing results from the reference strains showed 100% concordance with previously reported drug resistance-associated mutations. Single-nucleotide polymorphisms (SNPs) in clinical isolates revealed a number of known resistance-associated mutations and other nonsynonymous mutations that have not been implicated in drug resistance. SNP positions containing multiple allelic variants were used to identify three clinical samples containing mixed genotypes indicative of multiclonal infections. The amplicon sequencing protocol has been designed for the benchtop Ion Torrent PGM platform and can be operated with minimal bioinformatics infrastructure, making it ideal for use in countries that are endemic for the disease to facilitate routine large-scale surveillance of the emergence of drug resistance and to ensure continued success of the malaria treatment policy