Total Sums Research Articles

Quenching of the quantum p-strength in light exotic nuclei

One-nucleon spectroscopic overlaps, their strength or spectroscopic factors (SFs), and nucleon removal cross sections for light nuclei in the mass range A≤12 were evaluated using the fully correlated Quantum Monte Carlo (QMC) wave functions (WFs). Harder (AV18+UX) and softer (NV2+3) bare interactions were used providing consistent results. The SFs were also taken from simple Shell Model (SM) calculations. This structure information was incorporated in the standard three-body Faddeev/Alt-Grassberger-Sandhas reaction formalism to evaluate the (p,pN) cross sections. The results further our understanding of the quenching of the quantum p-shell strength obtained from structure and reactions. We have found the ratios of the total QMC sums of SFs to the SM ones to be uniform and ∼ 3/4. The corresponding ratios of the sums Below Particle Threshold (BPT) of SFs, as well as of total cross sections, deviate strikingly from the uniform trend in some special cases. We find these ratios to be close to unit for Li9→8Li+n and C9→8B+p. In contrast, they are strongly reduced for C11→10C+n and B11→10Be+p mirror transitions, resulting from the quenching of the strength for low-lying 2+ final state transitions. The QMC theoretical cross section BPT for C11(p,pn) is about two times smaller than the experimental data.

Ideal Gas Thermodynamic Functions For NO From the Total Partition Sum and Its Moments

The total internal partition sum, Qint(T), and the translational partition sum, Qtrans(T), were computed for six isotopologues of NO: 14N16O, 15N16O, 14N18O, 14N17O, 15N18O, 15N17O. These were used to determine the total partition sum, Q(T), and its first and second moments, Q̃′T and Q̃″T. The total internal partition sum was computed using term values determined by Qu et al. [Mon. Not. R. Astron. Soc. 504, 5768–5777 (2021)] for 14N16O and those of Wong et al. [Mon. Not. R. Astron. Soc. 470, 882–897, (2017)] for the other isotopologues. These term values are the best available and hence provide the most accurate total internal partition sums and its first and second moments. The uncertainties in Qint(T), its moments, and the resulting thermodynamic functions were determined from the uncertainty in the term values and the uncertainty due to the convergence of the partition sum and its moments. From these quantities, the isobaric heat capacity, Helmholtz energy, entropy, enthalpy, Gibbs function, and the JANAF functions hef and gef, and their uncertainties, were computed on a 1 K grid from 1 to 9000 K. The data are compared with the literature values. The resulting thermodynamic quantities are the most accurate determined from direct summation of Q(T), Q̃′T, and Q̃″T.

Determination of the degree of crystallinity of polyphenylene sulfide composited with crystalline and non-crystalline fillers by applying the direct derivation method

A new procedure for determining the degree of crystallinity (DOC) has been recently proposed, and it has been verified using experimental and computer-generated powder diffractometry data [Toraya (2023). J. Appl. Cryst. 56, 1751–1763]. As an application to real materials like engineering plastics, this procedure is here applied to the DOC determination of plate-like polyphenylene sulfide (PPS) samples, composited with crystalline and non-crystalline fillers. The coexistence of partially crystallized polymer with non-crystalline fillers in target materials makes it difficult to separate the non-crystalline part of the partially crystallized polymer. This problem is here solved by the inverse application of the direct derivation (DD) method for quantitative phase analysis (QPA). The intensity–composition (IC) formula used in the DD method can derive the weight fractions of the individual components from just the total sums of observed intensities and the chemical composition data for these components [Toraya (2016). J. Appl. Cryst. 49, 1508–1516]. For the present purpose, the IC formula has been inversely applied to calculate the relative intensity ratios of individual components under the assumption that the chemical compositions and weight fractions of the respective components are known. The total halo intensity could then be separated into the non-crystalline part of the polymer and the non-crystalline filler. Analyzed results of PPS composites in four different DOCs are reported.

Temporal variation of allergenic potential in urban parks during the vegetation period: a case study from Bratislava, Slovakia

Park greenery represents an oasis for urban residents; however, during the flowering period of trees that produce allergenic pollen grains, these areas threaten individuals suffering from seasonal allergic respiratory diseases. In this study, we evaluated the temporal distribution of the allergenic potential of three most important urban parks in Bratislava over the vegetation period, using a modification of the Urban Green Zone Allergenicity Index (IUGZA) and Individual-Specific Allergenic Potential Index (IISA) designed as a running index — rIUGZA and rIISA. We found that rIUGZA gives better information for park management and revitalization, since it considers the potential size of woody plants, while rIISA, considering the actual size of the vegetation, provides more relevant information for pollen-allergy sufferers. Based on rIISA, the allergenic potential was highest in May for the Grassalkovich Garden (formal baroque garden) and Janko Kráľ Park (English landscape park) and in April for the Medic Garden (repurposed baroque garden). We also found differences in the duration of the period of increased allergenic potential in these parks, ranging from 1 to 3 months. Based on the total annual sums of rIISA, we found the highest allergenic potential in the Medic Garden and lowest in the Janko Kráľ Park. This variance is caused mainly by the different density of trees and percentage of allergenic species. The biggest contributors to the allergenic potential were Platanus, Acer and Tilia. Based on the information on temporal variation of the allergenic potential during the vegetation period provided by the running indices, it is possible to improve the planning of park revitalization based on the flowering period of allergenic species and provide better information to the pollen-allergy sufferers for minimizing the allergenic effect of urban green areas on their health during a particular month.

Influence of Genotype and Environment on Fruit Phenolic Composition of Olive

Extra virgin olive oil (EVOO) is renowned for its numerous minor compounds, particularly phenols, which contribute to its health-promoting properties and commercial quality. The phenolic composition of EVOO largely relies on the initial phenolic content of the olive fruits, which represents, therefore, an important trait to be considered in olive breeding programs. However, only limited studies have been conducted so far to compare the relative influence of genotype and environment in the variability of this trait. For that reason, this study aims to assess the influence of genotype (cultivars ‘Arbequina’, ‘Coratina’, ‘Hojiblanca’, ‘Koroneiki’, ‘Martina’, and ‘Picual’) and environment (harvest date, season, and location) on the fruit phenolic content and composition. A wide general variability was obtained in the whole dataset, with total phenols ranging from 6019 to 38,380 μg/g. A stronger effect of the genotype than the environment was observed for total phenolic content (representing 76–90% of total sums of squares) and the different groups of compounds. Notably, significant variations were found among cultivars not only in the total phenol content but also in the percentage of individual compounds within each main phenolic group. Overall, taking into account the entire dataset available, a clear grouping of samples according to genotypes was observed. The results obtained highlight the prominent influence of the genotype (cultivar) over the environment and genotype–environment interactions on the phenolic content and composition in olive fruits; even when considering very contrasting environments as the Mediterranean and subtropical in the present work. These findings suggest the feasibility of breeding selection of new cultivars with distinctive phenolic content and composition.

The Little Prince

Abstract This paper studies translations of Antoine de Saint Exupéry’s The Little Prince into Hebrew and Arabic, genealogically related Semitic languages. The discussion in the paper focuses on three questions related to subjects already raised in the translation literature: What does the word count of any translated text contribute to translation study? How does comparing different translations of the same text into the same language contribute to translation research? Will translating one text into genealogically related languages reveal similarities between the translations? The research hypothesizes that (1) similarities and differences will be found between the translations, but (2) they will not affect target language rules. The main findings are that (1) total word sums were smaller in the translations than word sums in the source text. (2) The differences reflect the style and register considerations (formal versus daily lexical and structural elements) rather than grammatical issues. The research hypotheses appear to be correct, at least for these languages.

Thermodynamic Functions for N2 from the Total Partition Sum and its Moments

The total partition sum, Q(T), and its first and second moments, Q′(T) and Q″(T), were determined in terms of the total internal partition sum, Qint(T), and the translational partition sum, Qtrans(T), for 14N2, 14N15N, and 15N2. The total internal partition sum was computed using term values determined using the molecular constants of Le Roy et al. [J. Chem. Phys. 125, 164310 (2006)] for the ground electronic state and molecular constants for the first eight excited electronic states. The work of Le Roy et al. provides the best term values available and, hence, the most accurate total internal partition sums and their first and second moments. The convergence of Qint(T) and its moments were carefully studied and resulted in values with small uncertainty to 9000 K. From these quantities, the isobaric heat capacity, the Helmholtz energy, the entropy, the enthalpy, the Gibbs function, and the JANAF functions S0, hef, and gef, were computed on a 1 K grid from 1 to 9000 K. The resulting thermodynamic quantities are the most accurately determined from the direct summation of Q(T), Q′(T) and Q″(T). These data are compared with literature values.

EEG CORRELATES OF SOMATIC DISORDERS IN DEPRESSIVE PATIENTS WHO SURVIVED AND HAVE NOT BEEN ILL WITH COVID-19

IntroductionCoronavirus infection is accompanied by the development of a wide range of neuropsychiatric and somatic complications.ObjectivesThe aim of the study is to assess the severity of somatic disorders and to identify their EEG correlates in depressive patients who had and did not have COVID-19.MethodsThe study involved 30 female depressive patients (F31.3-4, F21.3-4 + F34.0, according to ICD-10), aged 16-25 years, who previously had a mild or asymptomatic coronavirus infection (group "COVID”), and 40 depressive patients matched in gender, age and syndrome structure to patients of the “COVID” group, but who did not have COVID-19 (“non-COVID” group). The pre-treatment severity of depressive symptoms was assessed by the total sum, and by sums of clusters: depression (items 1, 2, 3, 7, 8), anxiety (items 9, 10, 11), sleep disorders (items 4, 5 , 6) and somatic disorders (items 12, 13, 14) of HDRS-17 scale. All patients underwent pre-treatment multichannel (16 leads) recordings of the background EEG followed by analysis of the absolute EEG spectral power (SP) in 8 narrow frequency sub-bands. Statistical analysis of the data was carried out using the methods of descriptive statistics and correlation analysis of the IBM SPSS Statistics, v.22 software package.ResultsThe values of the total sums of scores of individual clusters (depression, anxiety, sleep disorders) of the HDRS-17 scale in the “COVID” and “non-COVID” groups did not differ statistically. The exception was a significantly higher (p>0.01) number of complaints of somatic disorders (weakness, heaviness and pain in the muscles, a feeling of loss of energy, loss of strength, decreased libido) in patients who had COVID compared to those who did not (2.4±1.0 and 1.4±1.1 points, respectively). In the “non-COVID” group, the HDRS-17 somatic disorder cluster scores positively correlated with SP values of beta2 EEG (20–30 Hz) in leads F3, F8, and P3. which reflects the increased activation of brain stem structures, characteristic for depressive conditions. In the “COVID” group, these scores correlated with the SP values of alpha3 (11-13 Hz, in leads F4, F8, C4 and T4) and beta2 (20-30 Hz, in C4) not positively, but negatively. Thus, the severity of somatic complaints in patients of this group is associated not with greater, but with less activation of the brain (in particular, of the right hemisphere), which, presumably, may be associated with the “exhaustion” of the central mechanisms of regulation of autonomic functions after suffering COVID disease.ConclusionsCOVID (in a mild or asymptomatic form) did not show a significant effect on the overall severity of depression of the studied group of patients who recovered from COVID, with the exception of a significantly greater severity of their somatic complaints compared to the group of patients who had not been ill with COVID. The study supported by the RSF grant No. 21-18-00129.Disclosure of InterestNone Declared

Predicting firm performance and size using machine learning with a Bayesian perspective

This paper investigates the issue of predicting the financial performance of firms in registered manufacturing in developing countries using machine learning methods along with economic theory to explain the findings. While literature suggests that predictability of top line measures related to sales is lower compared to bottom line measures such as net profits for small informal establishments in developing countries, we find the opposite holds true for firms in registered manufacturing in the food processing industry in India based on the results from machine learning techniques of Bayesian additive regression trees (BART), boosted trees, bootstrap forests, and regression tree algorithms. BART models in validation outperformed the other algorithms in predictability of the dependent variables. Across ten validation studies, BART had an average R2 ranging from 0.922 to 0.934 and boosted tree models had an average R2 ranging from 0.873 to 0.905 for predicting sales. A key significant independent variable for predicting sales across all categories and algorithms was real raw material expenses explaining approximately 83% to 88% of the total sums of squares in all validations. This is in line with the realities of the food processing industry, which is intensive in its raw material usage. The dependent variable ‘profits’ (as measured by real profits before depreciation, interest, taxes and amortization, ‘real_pbdita’) was more difficult to predict relative to sales. BART models again outperformed the other algorithms in validation with an average R2 ranging from 0.745 to 0.818. Key significant variables in the models were more diverse where raw material expenses, compensation to employees, and net- or total-fixed assets explained the largest proportions of the total sums of squares. The results from a machine learning approach with a Bayesian perspective can enhance the understanding of the mechanisms that translate sales into profits for registered manufacturing, thereby aiding policy-making for small businesses in the formal sector in developing countries.

Are Self-disorders in Schizophrenia Expressive of a Unifying Disturbance of Subjectivity: A Factor Analytic Approach.

The idea that a disorder of the basic self is a central feature in schizophrenia has recently been corroborated in a meta-analysis and a systematic review. Manifestations of the self-disorder can be systematically explored with the Examination of Anomalous Self-Experience (EASE). In this study, we examined the factorial structure of EASE, and diagnostic efficacy of EASE. We hypothesized that EASE will have a monofactorial structure as an instability of the basic self will result in multiple deformations of self-experience which would be meaningfully interrelated as aspects of a unifying Gestalt. EASE data for 226 patients suffering from various mental disorders were analyzed under a confirmatory factor analysis framework (CFA). Area under the receiver operating characteristic curve (AUC) was calculated for the total EASE sums, and sensitivity and specificity values for prediction of schizophrenia spectrum disorders based on different cut-offs were obtained. Fit indices for the CFA model: RMSEA = 0.036, SRMR = 0.100, CFI = 0.983, TLI = 0.981. The AUC value was 0.946 (95% confidence interval: 0.919-0.974). Sensitivity as well as specificity for schizophrenia spectrum disorders were high. Our results lend support for EASE exhibiting a monofactorial structure and the notion of self-disorders as a central phenotypic feature of schizophrenia spectrum disorders.

Trends in Billing and Medicare Reimbursement for In-Office Cerumen Removal by Otolaryngologists and Other Providers.

To analyze trends in billing patterns, Medicare reimbursement, and practice-setting for otolaryngologists (ORLs) and other provider types performing in-office cerumen removal. This retrospective study included data on Medicare-billing providers from the Medicare Part B: Provider Utilization and Payment Datafiles (2012-2018). Number of providers performing in-office cerumen removal, total sums and medians for Medicare reimbursements and services, and services per patient were gathered along with geographic distributions. There have been near linear declines in number of general physicians and other provider types performing cerumen extractions with 42.6% and 40.7% declines, respectively, and near linear growth in number of ORLs and advanced practice providers (APPs) with 9.7% and 51.1% growth, respectively. At the median, general physicians, APPs, and other provider types have been billing for a similar and constant number of cerumen extractions per provider, while ORLs have seen a 10.6% increase. Total Medicare reimbursement to general physicians and other provider types has fallen 45.0% and 32.5%, respectively, and to ORLs and APPs has grown 16.9% and 103.4%, respectively. Compared to non-ORLs, ORLs tend to bill for cerumen extraction out of an urban setting rather than a rural setting (P < .001). General physicians and other provider types are increasingly referring cerumen disimpaction patients to ORL physicians and allowing APPs to perform these procedures, indicating a change in landscape of medical practice among these providers. General physicians may be filling a need in the rural setting, where there are fewer ORLs practicing.

Aerobiological Pollen Deposition and Transport of Fraxinus excelsior L. at a Small Spatial Scale

The ongoing fragmentation of ash populations due to ash dieback requires an effective gene flow between individuals; thus, investigations on ash pollen transport are essential. In this study, comprehensive aerobiological field experiments at two seed plantations in Baden-Württemberg were conducted in 2019 and 2020 in order to study the influence of phenology and meteorology (especially wind) on pollen transport using self-constructed gravimetric pollen traps located 1.5 and 5 m a.g.l. Our main objectives were to investigate the local scale dispersion of ash pollen and to evaluate the recommended distance (i.e., 400 m) from seed plantations to other ash trees according to the German Forest Reproduction Act. Our results showed a link between pollen transport and meteorology, the onset of phenological development, and the topography of the plantation. The plantation at Schorndorf was characterized by a slope and associated cold air flows, suggesting that this could be a factor contributing to higher pollen levels at the downslope traps. In addition, in many cases, the cardinal direction associated with the highest pollen impaction was also identical with the predominant wind direction. Analyzing pollen data for single traps in detail, we found that the highest total pollen catch (31%) was measured outside the plantations in 2019, a year with very low flower development. In contrast, most pollen (33%) was caught within the plantation in 2020, which presented a much stronger pollen year than 2019 (with a factor of 11 regarding total sums). This indicates, in the lower pollen year, a potential higher contribution of trees from outside the plantation, and thus it can be recommended that seed harvesting of ash trees in the plantations should preferentially take place in full mast years. Interestingly, the total pollen deposition in Emmendingen at 5 m height showed little difference compared to the traps at 1.5 m height, but there was a large temporal difference pointing to vertical variations in pollen availability. In general, we found that ash pollen was transported for a larger distance than 400 m, but the amount of pollen decreased substantially with increasing distance. At a distance of 200 m, there was already approx. 50% less pollen captured from the air. However, even at a distance of 500 m, more than 10% of the pollen was still captured. In order to ensure cross-pollination of healthy ash trees, the distance of ash individuals or stands should not be too large, and there should be no spatial separation (e.g., by conifer stands).

New Model for Osteoporosis Risk Screening Using Emergency Department Visits.

BackgroundEven though osteoporosis is the most common bone disease in the United States, it is frequently underscreened and underdiagnosed. In this study, we aimed to utilize the Emergency Department to conduct preemptive osteoporosis risk screening and assess the risk associated with gender and race based on a statistical analysis of survey responses.MethodologyPatients >40 years of age presenting at two Emergency Departments were eligible. Consenting patients were asked questions from a modified One-Minute Osteoporosis Risk Test. Modifiable, fixed, and total (modifiable risks + fixed risks) risk sums were calculated. For the association test, chi-square and Wilcoxon rank-sum tests were used. Four total risk categories were created (0-1, 2-3, 4-5, 6+). Odds of being in a higher risk category were analyzed using univariate ordinal logistic regression.ResultsThe prevalence of both a fixed and modifiable risk was 62.2%. Women were more likely than men to report a risk (81.2% vs. 67.5%; p = 0.0043) and to be in a higher risk category (odds ratio (OR) [95% confidence interval (CI)] = 1.63 [1.09-2.45]; p = 0.018). Evidence strongly indicated an unadjusted association of race and modifiable risk category (p < 0.001), with more than half of African Americans (53.0%) in the highest category compared to 26.0% of whites. The total risk was higher in African Americans than whites (OR [95% CI] = 1.75 [1.15-2.67]; p = 0.010).ConclusionsRace and gender were associated with specific risk factors. The Emergency Department proved to be a feasible location for conducting health maintenance screenings and should be considered for patient-specific routine osteoporosis risk screenings.

Rapid screening of depression and anxiety in cancer patients: Interview validation of emotion thermometers

This study aimed to determine the degree of depression and anxiety in cancer patients using the Emotion Thermometers (ET) and confirming their clinical usefulness compared to the gold standard interview, as well as determining optimal cut-off values for the appropriate identification of cancer patients' distress. We included 238 cancer patients and we used ET (Emotion Thermometers) to screen depression and anxiety and the Beck depression inventory for adults (BDI-II), the Generalized Anxiety Disorder 7-item scale (GAD-7) and the Mini-International Neuropsychiatric Interview (M.I.N.I) was used as the criterial validity standard. The prevalence of anxiety on the M.I.N.I. was 24% and depression was 11%. The optimal value for diagnosis of depression from ET (Dep ET) appears to be >4.5 (AUC 0.928) against M.I.N.I. Optimal score for anxiety from ET (AnxT ET) compared to GAD according to M.I.N.I. we determined the value of 3.5 (AUC 0.899). To determine the cut off score for distress using from ET (DT), we compared against GAD-7 and BDI-II RS (raw total score) and the most optimal was 4.5 (AUC 0.953). For analysis of the cut off score for quality of life (QoL) against the total sums of all parts of the ET, the value of 14.5 (AUC 0.892) forms the cut off between the negative and the positive clinical finding. The results of the study support the use of ET as a rapid screening tool for the detection of depression, anxiety and distress in cancer patients.

Quantifying the High-Frequency Trading “Arms Race”

Abstract We use stock exchange message data to quantify the negative aspect of high-frequency trading, known as “latency arbitrage.” The key difference between message data and widely familiar limit order book data is that message data contain attempts to trade or cancel that fail. This allows the researcher to observe both winners and losers in a race, whereas in limit order book data you cannot see the losers, so you cannot directly see the races. We find that latency arbitrage races are very frequent (about one per minute per symbol for FTSE 100 stocks), extremely fast (the modal race lasts 5–10 millionths of a second), and account for a remarkably large portion of overall trading volume (about 20%). Race participation is concentrated, with the top six firms accounting for over 80% of all race wins and losses. The average race is worth just a small amount (about half a price tick), but because of the large volumes the stakes add up. Our main estimates suggest that races constitute roughly one-third of price impact and the effective spread (key microstructure measures of the cost of liquidity), that latency arbitrage imposes a roughly 0.5 basis point tax on trading, that market designs that eliminate latency arbitrage would reduce the market’s cost of liquidity by 17%, and that the total sums at stake are on the order of $5 billion per year in global equity markets alone.

Polynomial expression for calculating “Total Internal Partition Sums” for portable gas sensors

Polynomial expression for calculating “Total Internal Partition Sums” for portable gas sensors

Billing patterns for in-office computerized tomography scans of the face/sinus by otolaryngologists

PurposeTo evaluate billing trends, Medicare reimbursement, and practice setting for Medicare-billing otolaryngologists (ORLs) performing in-office face computerized tomography (CT) scans. MethodsThis retrospective study included data on Medicare-billing ORLs from Medicare Part B: Provider Utilization and Payment Datafiles (2012–2018). Number of Medicare-billing ORLs performing in-office CT scans, and total sums and medians for Medicare reimbursements, services performed, and number of patients were gathered along with geographic and practice-type distributions. ResultsIn 2018, roughly 1 in 7 Medicare-billing ORLs was performing in-office CT scans, an increase from 1 in 10 in 2012 (48.2% growth). From 2012 to 2018, there has been near-linear growth in number of in-office CT scans performed (58.2% growth), and number of Medicare fee-for-service (FFS) patients receiving an in-office CT scan (64.8% growth). However, at the median, the number of in-office CT scans performed and number of Medicare FFS patients receiving an in-office CT, per physician, has remained constant, despite a decline of 42.3% (2012: $227.67; 2018: $131.26) in median Medicare reimbursements. ConclusionThough sharp declines have been seen in Medicare reimbursement, a greater proportion of Medicare-billing ORLs have been performing in-office face CT scans, while median number of in-office CT scans per ORL has remained constant. Although further investigation is certainly warranted, this analysis suggests that ORLs, at least in the case of the Medicare FFS population, are utilizing in-office CT imaging for preoperative planning, pathologic diagnosis, and patient convenience, rather than increased revenue streams. Future studies should focus on observing these billing trends among private insurers.

Review of the direct derivation method: quantitative phase analysis with observed intensities and chemical composition data

The direct derivation (DD) method is a technique for quantitative phase analysis (QPA). It can be characterized by the use of the total sums of scattered/diffracted intensities from individual components as the observed data. The crystal structure parameters are required when we calculate the intensities of reflections or diffraction patterns. Intensity can, however, be calculated only with the chemical composition data if it is not of individual reflections but of a total sum of diffracted/scattered intensities for that material. Furthermore, it can be given in a form of the scattered intensity per unit weight. Therefore, we can calculate the weight proportion of a component material by dividing the total sum of observed scattered/diffracted intensities by the scattered intensity per unit weight. The chemical composition data of samples under investigation are known in almost all cases at the stage of QPA. Thus, a technical problem is how to separate the observed diffraction pattern of a mixture into individual component patterns. Various pattern decomposition techniques currently available can be used for separating the pattern of a mixture. In this report, the theoretical background of the DD method and various techniques for pattern decompositions are reviewed along with the examples of applications.

Total internal partition sums for the HITRAN2020 database

Total internal partition sums (TIPS) are reported for the 181 isotopologues of 57 molecules important in planetary atmospheres. Molecules 1 to 55, with the exception of #34 atomic oxygen, are taken from the HITRAN2020 list, and for some molecules additional isotopologues are considered. Molecules 56 and 57 are C3H4, CH3, respectively. New to TIPS are the calculations for 12CH4, 13CH4, 12CH3D, 13CH3D, 14N16O, 15N16O, 14N18O, 16O32S18O, 33S16O2, 15N16O2, 18OH, 16OD, 35Cl16O, 37Cl16O, 16O13C34S, 32S19F6, 12C2H5D, 12C2H3D, 12C19F4, 12CH319F, 70GeH4, 72GeH4, 73GeH4, 74GeH4, 76GeH4, 12CH3127I, 13CH3127I, and 14N19F3. In addition, all the molecules/isotopologues that were not recalculated for TIPS2017 (Gamache et al., JQSRT 203, 70, 2017) have been recalculated using the 2014 CODATA physical constants. The TIPS are determined by various methods, generally from 1 to 5000 K. These data are provided with HITRAN2020 and a new version of the TIPS code is available in both FORTRAN and python languages.

Extreme Points of Certain Transportation Polytopes with Fixed Total Sums

Transportation matrices are $m\times n$ nonnegative matrices with given row sum vector $R$ and column sum vector $S$. All such matrices form the convex polytope $\mathcal{U}(R,S)$ which is called a transportation polytope and its extreme points have been classified. In this article, we consider a new class of convex polytopes $\Delta(\bar{R},\bar{S},\sigma)$ consisting of certain transportation polytopes satisfying that the sum of all elements is $\sigma$, and the row and column sum vectors are dominated componentwise by the given positive vectors $\bar{R}$ and $\bar{S}$, respectively. We characterize the extreme points of $\Delta(\bar{R},\bar{S},\sigma)$. Moreover, we give the minimal term rank and maximal permanent of $\Delta(\bar{R},\bar{S},\sigma)$.