Equivalent Pairs Research Articles

Triality and the homogeneous linearization of quasigroups

In this paper, triality refers to the [Formula: see text]-symmetry of the language of quasigroups, which is related to, but distinct from, the notion of triality as the [Formula: see text]-symmetry of the Dynkin diagram [Formula: see text]. The paper investigates a homogeneous method for rendering the linearization of quasigroups (over a commutative ring) naturally invariant under the action of the triality group, on the basis of an appropriate algebra generated by three invertible, non-commuting coefficient variables that is isomorphic to the group algebra of the free group on two generators. The algebra has a natural quotient given by setting the square of each generating variable to be [Formula: see text]. The quotient is an algebra of quaternions over the underlying ring, in a way reminiscent of how symmetric groups appear as quotients of braid groups on declaring the generators to be involutions. The corresponding quasigroups (which are described as quaternionic) are characterized by three equivalent pairs of quasigroup identities, permuted by the triality symmetry. The three pairs of identities are logically independent of each other. Totally symmetric quasigroups (such as Steiner triple systems) are quaternionic.

Impact of a Prototype 29:1 Ratio Grid on Image Quality and Radiation Dose in Abdominal Angiography

Objectives The aim of this study was to evaluate the impact of a prototype grid with a 29:1 ratio (r29) and a 15:1 (r15) grid on the image quality (IQ) and radiation dose in abdominal angiography. Materials and Methods Six typical abdominal angiographic image scenarios were created in 4 pigs. Polymethylmethacrylate and aluminum plates were used to add 10 cm of patient equivalent thickness to simulate different body types. Fluoroscopic images were acquired with a source-to-image receptor distance of 120 cm. Tantalum- and iron-specific acquisition protocols at different IQ levels were acquired. IQ of radiation dose equivalent image pairs, created with the r29 and r15 grids, respectively, was quantitatively evaluated using contrast-to-noise ratio (CNR) measurements. Differences in radiation dose were estimated using the dose-weighted CNR. Two blinded readers compared IQ of these images using a Likert scale. In a second step, the readers selected pairs of the r29 and r15 images with subjectively equivalent IQ. Radiation doses were then compared. Results Compared with the r15 grid, the r29 grid images achieved similar CNR at an average of 26% (±12%) lower radiation dose at a mean patient equivalent thickness of 26 cm and 36 cm. Both readers noted a significant increase in IQ (P < 0.001) for dose equivalent images, whereas the interobserver agreement was 0.59. For the selected IQ equivalent images, a radiation dose reduction of 38% (±17%; P < 0.001, interobserver agreement 0.92) was noted when using the r29 grid. Conclusions The use of an r29 grid at a large source-to-image receptor distance can significantly improve the IQ compared with the r15 grid at the same radiation dose in abdominal angiography or can reduce radiation dose while preserving IQ.

Striosomes control dopamine via dual pathways paralleling canonical basal ganglia circuits

Balanced activity of canonical direct D1 and indirect D2 basal ganglia pathways is considered a core requirement for normal movement, and their imbalance is an etiologic factor in movement and neuropsychiatric disorders. We present evidence for a conceptually equivalent pair of direct D1 and indirect D2 pathways that arise from striatal projection neurons (SPNs) of the striosome compartment rather than from SPNs of the matrix, as do the canonical pathways. These striosomal D1 (S-D1) and D2 (S-D2) pathways target substantia nigra dopamine-containing neurons instead of basal ganglia motor output nuclei. They modulate movement with net effects opposite to those exerted by the canonical pathways: S-D1 is net inhibitory and S-D2 is net excitatory. The S-D1 and S-D2 circuits likely influence motivation for learning and action, complementing and reorienting canonical pathway modulation. A major conceptual reformulation of the classic direct-indirect pathway model of basal ganglia function is needed, as well as reconsideration of the effects of D2-targeting therapeutic drugs.

Global BIM-point cloud registration and association for construction progress monitoring

Global BIM-point cloud registration and association for construction progress monitoring

Systematic Absences of Optical Phonon Modes in Phonon Dispersion Measured by Electron Microscopy.

Phonon dispersion relations are widely used to elucidate the vibrational properties of materials. As an emerging technique, momentum-resolved vibrational spectroscopy in scanning transmission electron microscopy offers an unparalleled approach to explore q-dependent phonon behavior at local structures. In this study, we systematically investigate the phonon dispersion of monolayer graphene across several Brillouin zones (BZs) using momentum-resolved vibrational spectroscopy and find that the optical phonon signals vanish at the Γ points with indices (hk0) satisfying h+2k=3n (n denoted integers). Theoretical analysis reveals that the observed phenomena arise from the complete destructive interference of the scattered waves from different basis atoms. This observation, corroborated by the study of diamond, should be a general characteristic of materials composed of symmetrically equivalent pairs of the same elements. Moreover, our results emphasize the importance of multiple scattering in interpreting the vibrational signals in bulk materials. We demonstrate that the systematic absences and dynamic effects, which have not been much appreciated before, offer new insights into the experimental assessment of local vibrational properties of materials.

TS-align: A temporal similarity-aware entity alignment model for temporal knowledge graphs

TS-align: A temporal similarity-aware entity alignment model for temporal knowledge graphs

Smoothing and flattening the universe through slow contraction versus inflation

In a systematic study, we use an equivalent pair of improved numerical relativity codes based on a tetrad-formulation of the classical Einstein-scalar field equations to examine whether slow contraction or inflation (or both) can resolve the homogeneity, isotropy and flatness problems. Our finding, based on a set of gauge/frame invariant diagnostics and the models considered, is that slow contraction robustly and rapidly smooths and flattens spacetimebeginning from initial conditions that are outside the perturbative regime of the flat Friedmann-Robertson-Walker metric, whereas inflation fails these tests. We present new numerical evidence supporting the conjecture that the combination of ultralocal evolution and an effective equation-of-state with pressure much greater than energy density is the key to having robust and rapid smoothing. The opposite of ultralocality occurs in expanding spacetimes, which is the leading obstruction to smoothing following a big bang.

A Study of the Vocabulary in al-Qavânîn al-Kulliyya li-Ẓabṭ al-Luġat at-Turkiyya

The multi-layered cultural structure of the Mamluk Kipchak area can be seen in the language of the period. The linguistic evolution of the Turkmens and Kipchaks, the initial settlers of the region, is documented in contemporary grammars and dictionaries. The language of the Eastern Turks also became incorporated as their numbers in the region gradually increased. This study investigates the vocabulary used in al-Qavânîn al-Kulliyya li-Ẓabṭ al-Luġat at-Turkiyya, one of the grammars of the period. The first stage of the study was to identify words with the same meanings and equivalent pairs that may be indicators of how the dialect of the period has changed. The status of the words which were considered to be indicators of the dialectal differences between the historical text, and that of the Turkic languages of contemporary Oghuz and Kipchak groups, was then analysed. Results indicate that 37.03% of the fifty-eight words analysed in this study still exist in contemporary Oghuz, while 25.93% are still present, and even have the same meaning, in contemporary Kipchak. The rate of equivalent pairs identified in this historical text was 37.03%.

Руско-българските паралели при превода на лексиката със значението ‘разделяне’ (върху материалите на паралелния двуезичен корпус)

The paper aims to verify the results of the author’s previous studies of the semantics, semiotics and usage of the lexis denoting ‘separation’ in Russian and Bulgarian languages on the materials of the parallel corpus. The analysis confirms that the most frequent equivalent pair is the Russian lexis, originating from sta- and the Bulgarian lexis from děl-. The words depicting the semiotics of separation and being apart (verbs of motion, of physical splitting, lack of sight contact, etc.) in the target language and the original language are characterized. The specific of the Bulgarian and Russian etiquette formulae as they appear in the corpus are outlined.

PASDA: A partition-based semantic differencing approach with best effort classification of undecided cases

PASDA: A partition-based semantic differencing approach with best effort classification of undecided cases

Time-aware structure matching for temporal knowledge graph alignment

Time-aware structure matching for temporal knowledge graph alignment

Acute cholecystitis, obesity, and steatohepatitis constitute the lethal triad for bile duct injury (BDI) during laparoscopic cholecystectomy.

The most feared complication during laparoscopic cholecystectomy remains a bile duct injury (BDI). Accurately risk-stratifying patients for a BDI remains difficult and imprecise. This study evaluated if the lethal triad of acute cholecystitis, obesity, and steatohepatitis is a prognostic measure for BDI. A retrospective review of the American College of Surgeons National Surgical Quality Improvement Program (NSQIP) registry was performed. All laparoscopic cholecystectomy cases within the main NSQIP database for 2012-2019 were queried. Two study cohorts were constructed. One with the lethal triad of acute cholecystitis, BMI ≥ 30, and steatohepatitis. The other cohort did not have the full triad present. Multivariate analysis was performed via logistic regression modeling with calculation of odds ratios (OR) to identify independent factors for BDI. An uncontrolled and controlled propensity score match analysis was performed. A total of 387,501 cases were analyzed. 36,887 cases contained the lethal triad, the remaining 350,614 cases did not have the full triad. 860 BDIs were identified resulting in an overall incidence rate 0.22%. There were 541 BDIs within the lethal triad group with 319 BDIs in the other cohort and an incidence rate of 1.49% vs 0.09% (P < 0.001). Multivariate analysis identified the lethal triad as an independent risk factor for a BDI by over 15-fold (OR 16.35, 95%CI 14.28-18.78, P < 0.0001) on the uncontrolled analysis. For the controlled propensity score match there were 29,803 equivalent pairs identified between the cohorts. The BDI incidence rate remained significantly higher with lethal triad cases at 1.65% vs 0.04% (P < 0.001). The lethal triad was an even more significant independent risk factor for BDI on the controlled analysis (OR 40.13, 95%CI 7.05-356.59, P < 0.0001). The lethal triad of acute cholecystitis, obesity, and steatohepatitis significantly increases the risk of a BDI. This prognostic measure can help better counsel patients and potentially alter management.

Dose and compositional dependence of irradiation-induced property change in FeCr

Dose and compositional dependence of irradiation-induced property change in FeCr

Enhancing Soft Tissue Differentiation with Different Dual-Energy CT Systems: A Phantom Study

To quantitatively evaluate the possible advantages of quantifying and differentiating various soft tissues using virtual monochromatic images (VMI) derived from different dual-energy computed tomography (DECT) technologies. This study involved four DECT scanners with different technologies. CIRS phantom images were acquired in single-energy (SECT) and DECT modes with each scanner. The analysis focused on five equivalent soft-tissue inserts: adipose, breast, liver, muscle, and bone (200 mg). The signal-to-noise ratio (SNR) was calculated for each equivalent soft-tissue insert. Finally, the contrasts of tissue pairs between DECT and SECT images were compared using Wilcoxon signed-rank tests adjusted for multiple comparisons. Average CT numbers and noise showed a significant difference pattern between DECT with respect to SECT for each CT scanner. Generally, energy levels of 70 keV or higher led to improved SNR in VMI for most of the equivalent soft-tissue inserts. However, energy levels of 40–50 keV showed significantly higher contrasts in most of the equivalent soft-tissue insert pairs. DECT images at low energies, especially at 40–50 keV, outperform SECT images in discriminating soft tissues across all four DECT technologies. The combined use of DECT images reconstructed at different energy levels provides a more comprehensive set of information for diagnostic and/or radiotherapy evaluation compared to SECT. Some differences between scanners are evident, depending on the DECT acquisition technique and reconstruction method.

Diverse Structure-Aware Relation Representation in Cross-Lingual Entity Alignment

Cross-lingual entity alignment (CLEA) aims to find equivalent entity pairs between knowledge graphs (KGs) in different languages. It is an important way to connect heterogeneous KGs and facilitate knowledge completion. Existing methods have found that incorporating relations into entities can effectively improve KG representation and benefit entity alignment, and these methods learn relation representation depending on entities, which cannot capture the diverse structures of relations. However, multiple relations in KG form diverse structures, such as adjacency structure and ring structure. This diversity of relation structures makes the relation representation challenging. Therefore, we propose to construct the weighted line graphs to model the diverse structures of relations and learn relation representation independently from entities. Especially, owing to the diversity of adjacency structures and ring structures, we propose to construct adjacency line graph and ring line graph, respectively, to model the structures of relations and to further improve entity representation. In addition, to alleviate the hubness problem in alignment, we introduce the optimal transport into alignment and compute the distance matrix in a different way. From a global perspective, we calculate the optimal 1-to-1 alignment bi-directionally to improve the alignment accuracy. Experimental results on two benchmark datasets show that our proposed method significantly outperforms state-of-the-art CLEA methods in both supervised and unsupervised manners.

Proving Query Equivalence Using Linear Integer Arithmetic

Proving the equivalence between SQL queries is a fundamental problem in database research. Existing solvers model queries using algebraic representations and convert such representations into first-order logic formulas so that query equivalence can be verified by solving a satisfiability problem. The main challenge lies in "unbounded summations", which appear commonly in a query's algebraic representation in order to model common SQL features, such as projection and aggregate functions. Unfortunately, existing solvers handle unbounded summations in an ad-hoc manner based on heuristics or syntax comparison, which severely limits the set of queries that can be supported. This paper develops a new SQL equivalence prover called SQLSolver, which can handle unbounded summations in a principled way. Our key insight is to use the theory of LIA^*, which extends linear integer arithmetic formulas with unbounded sums and provides algorithms to translate a LIA^* formula to a LIA formula that can be decided using existing SMT solvers. We augment the basic LIA^* theory to handle several complex scenarios (such as nested unbounded summations) that arise from modeling real-world queries. We evaluate SQLSolver with 359 equivalent query pairs derived from the SQL rewrite rules in Calcite and Spark SQL. SQLSolver successfully proves 346 pairs of them, which significantly outperforms existing provers.

BUILDING A DOSE TOXO-EQUIVALENCE MODEL FROM A BAYESIAN META-ANALYSIS OF PUBLISHED CLINICAL TRIALS.

In clinical practice medications are often interchanged in treatment protocols when a patient negatively reacts to their first line of therapy. Although switching between medications is common, clinicians often lack structured guidance when choosing the initial dose and frequency of a new medication, given the former with respect to risk of adverse events. In this paper we propose to establish this dose toxo-equivalence relationship using published clinical trial results with one or both drugs of interest via a Bayesian meta-analysis model that accounts for both within- and between-study variances. With the posterior parameter samples from this model, we compute median and 95% credible intervals for equivalent dose pairs of the two drugs that are predicted to produce equal rates of an adverse outcome, relying solely on study-level information. Via extensive simulations, we show that this approach approximates well the true dose toxo-equivalence relationship, considering different study designs, levels of between-study variance, and the inclusion/exclusion of nonconfounder/nonmodifier subject-level covariates in addition to study-level covariates. We compare the performance of this study-level meta-analysis estimate to the equivalent individual patient data meta-analysis model and find comparable bias and minimal efficiency loss in the study-level coefficients used in the dose toxo-equivalence relationship. Finally, we present the findings of our dose toxo-equivalence model applied to two chemotherapy drugs, based on data from 169 published clinical trials.

Using combinatorial optimization to solve entity alignment: An efficient unsupervised model

Using combinatorial optimization to solve entity alignment: An efficient unsupervised model

ENGLISH AND RUSSIAN PHRASEOLOGISMS OF WATER TRANSPORT DISCOURSE IN SOCIOLINGUISTIC COMPARISON

The purpose of this research is to identify phraseological units of water transport discourse in English and Russian and to compare the sociolinguistic component of these groups of language units. The object of study is phraseological units that have lexemes in their composition, which are the names of water transport infrastructure (sea and river), as well as their parts, details, equipment, functions, people involved in the operation of water transport. The subject of the research is the common and different reasons for the emergence of English and Russian water transport idioms and the peculiarities of their use in English- and Russian-speaking societies. In the process of performing the work, general research methods of analysis and synthesis, elements of the quantitative method, procedures of sociolinguistic, linguocultural and comparative methods as methods of separate paradigms of linguistics, non-paradigmatic descriptive method were applied. In addition, linguistic methods of semantic, phraseological, and etymological analysis were applied. The result of the work is the identification of a number of water transport idioms that entered English and Russian phraseology at different times and in different ways, an attempt to typologize them and the definition of sociolinguistic features of the compared groups of English and Russian idioms. The main conclusions are that among the phraseological units of the water transport discourse, 7 groups are distinguished based on the assignment of key components to different lexical-semantic groups; the correlation of equivalent (28%), background (48%) and non-equivalent (14%) pairs of English and Russian phraseological units of water transport discourse was calculated; 11% of phraseological units of one language do not have phraseological equivalents in another language. A certain group of English idioms that originated in water transport have Russian counterparts that originated in other discourses. The main reason for the asymmetric state lies in the much longer history of the English fleet than the Russian one, in the much greater employment of the population of Great Britain and other English-speaking countries in water transport, as well as the long period of time when the English language, according to the decision of the IMO, has a communicative monopoly in international shipping.

A Pan-Hispanic approach to the usage of Anglicisms in the thematic area of sports

The influence that English exerts on different languages has been widely examined. Particularly, many studies that have brought the classification of Anglicisms according to thematic fields into focus have shown that, in relation to various languages and varieties, sports is the area in which Anglicisms seem to appear most frequently (Seidel 2010, Andersen 2011). Considering Spanish, when introducing English names of sports, the two main choices are either to adopt/adapt these foreign names or to calque them into the recipient language. This paper aims to clarify which of these two options has been the most successful one and whether diatopic variation plays a part in this respect. To fulfil this goal, a series of equivalent pairs and their variants are looked up in CORPES XXI, and the statistics provided by this corpus in relation to geographical distribution are analysed. Results show that diatopic variation affects disparity in the frequency of use of the different forms of English ball sports names in Spanish.