Hengzongshu/ArticleAgent huggingface dataset:
Lebesgue (1940) proved that every plane triangulation contains a face with the vertex-degrees majorized by one of the following triples: (3,6,∞),(3,7,41),(3,8,23),(3,9,17),(3,10,14),(3,11,13),(4,4,∞),(4,5,19),(4,6,11),(4,7,9),(5,5,9),(5,6,7). Jendrol' (1999) improved this description, except for (4,4,∞) and (4,6,11), to (3,4,35),(3,5,21),(3,6,20),(3,7,16),(3,8,14),(3,9,14),(3,10,13),(4,4,∞),(4,5,13),(4,6,17),(4,7,8),(5,5,7),(5,6,6) and conjectured that the tight description is (3,4,30),(3,5,18),(3,6,20),(3,7,14),(3,8,14),(3,9,12),(3,10,12),(4,4,∞),(4,5,10),(4,6,15),(4,7,7),(5,5,7),(5,6,6).

We prove that in fact every plane triangulation contains a face with the vertex-degrees majorized by one of the following triples, where every parameter is tight:

(3,4,31),(3,5,21),(3,6,20),(3,7,13),(3,8,14),(3,9,12),(3,10,12),(4,4,∞),(4,5,11),(4,6,10),(4,7,7),(5,5,7),(5,6,6).
The CMD-3 detector has been taking data since December 2010 at the VEPP-2000 electron-positron collider. The collected data sample corresponds to about 60 inverse picobarn of integrated luminosity in the c.m. energy range from 0.32 to 2.0 GeV. Preliminary results of the analysis of various hadronic cross sections, in particular, e+e− → π+π−, π+π−π0, KL KS, K+ K−, ηγ, 3(π+π−), 2(π+π−π0), K+ K−π+π−, K+ K−η, K+ K−π0, ηπ+π−, ωπ+π− and ω → π0e+e− are presented. The processes with multihadron final states have several intermediate states which have to be taken into account to correctly describe the angular and invariant mass distributions, as well as cross section energy dependence.
Purpose.To carry out computer thermodynamic modeling of gold and mercury behaviour in the context of their common occurrence and formation of mercuric gold in hydrothermal solutions Cl --HCO 3 --Na + and Cl --Na + -Ca 2+ with the use of "Chiller" programme.Methods.Physical and chemical parameters of ore-forming solutions have been used as the initial data for the modeling.They were obtained relying upon the analysis of fluid ore inclusions in the neighbourhood of surface Au-Hg deposits; fluid inclusion studies (i.e.thermometry, cryometry, RS-spectroscopy, ICP-MS-LA) were applied.High metal-bearing hydroterms according to Au (I) within 200 -100°С temperature interval is determined by means of hyperalkalinity of hydrothermal solutions as well as stability of dihydrosulphide (i.e.Au(HS) 2 -) complex under the conditions providing transport of gold to low-temperature (150 -100°С) ore deposition typical for Au-Hg deposits. Findings.Relying upon the previously obtained data of fluid inclusion studies and thermodynamic modeling, basic geological and geochemical conditions of occurrence have been identified; physical and chemical factors defining gold deposits with different mercury content have been determined.Originality.Computer thermodynamic modeling of common Au and Hg behaviour in hydrothermal process made it possible to demonstrate specifics of physical and chemical parameters of formation of complex gold-mercury ores.For the first time, uniqueness of free gold composition for various types of Au-Hg deposits has been determined on the basis of proper data and data by scientific sources.The results, obtained in the process of the studies, made it possible to expand substantially available concepts of their genesis to be important for the development of genetic models of ore-forming systems of Au-Hg deposits.Practical implications.Composition of gold and its mercury content may be used practically in the process of prospecting activities as a criterion to determine the occurrence of one of prospective industrial types of gold ores (Carlin-type) -finely disseminated gold and mercury ore grade mineralization -as well as formation depth and estimation of erosion level of ore bodies.
Multiplex microsphere-based immunofluorescence assay is a reliable, accurate, and highly sensitive method for the detection of various biomolecules. However, for the moment, the wide application of the method in clinical practice is prevented by the high cost of reagents for analysis - magnetic spectrally encoded microspheres.

Samples of magnetic fluorescent polystyrene microspheres were synthesized by dispersion polymerization and two-stage swelling methods. Experimental studies of geometric parameters, fluorescence, magnetic properties of the synthesized microspheres have been carried out.

The results of the studies have shown that microspheres synthesized by dispersion polymerization are promising for the use in immunofluorescence analysis. The obtained results can be used for the development of new diagnostic multiplex test systems based on spectrally encoded microspheres.
The article dedicates to the study of microelements in the blood serum of women of reproductive age, with newly diagnosed hypothyroidism (subclinical and manifest), living in disadvantaged areas of the Aral Sea region.

This article presents the study of 1154 women. Every fourth woman (25%) has an essential deficiency of such microelements like iodine, selenium, iron, zinc independently of thyroid function.

Our study discovered negative associations of TSH concentration with essential microelements like manganese, copper, selenium, and positive association with iodine. We also obtain positive relationships between AT-TPO and zinc and iodine. The relationship of zinc with AT – TPO level and thyroid status, especially in the regions with sufficient ioduria among residents, require further research to study its possible effect on thyroid dysfunctions. We established positive associations of free T4 with essential microelements like manganese, iron, and negative association with iodine. Estimation of thyroid status and toxic microelements revealed positive association of free T4 with cadmium, nickel, and lead, and negative with mercury.
High-brightness fiber laser sources usually utilize active rare-earth-doped fibers cladding-pumped by multimode laser diodes (LDs), but they operate in limited wavelength ranges. Singlemode-passive-fiber based Raman lasers are able to operate at almost any wavelength being pumped by high-power fiber lasers. One of the interesting possibilities is to directly pump graded-index (GRIN) multimode passive fibers by available high-power multimode LDs at 915–940 nm, thus achieving high-power Raman lasing in the wavelength range of 950–1000 nm, which is problematic for rare-earth-doped fiber lasers. Here we review the latest results on the development of all-fiber high-brightness LD-pumped sources based on GRIN fiber with in-fiber Bragg gratings (FBGs). The mode-selection properties of FBGs inscribed by fs pulses supported by the Raman clean-up effect result in efficient conversion of multimode pump into a high-quality output beam at 9xx nm. GRIN fibers with core diameters 62.5, 85 and $100~\unicode[STIX]{x03BC}\text{m}$ are compared. Further scaling capabilities and potential applications of such sources are discussed.
This paper is devoted to the determination of the transport characteristics of a granular medium in an adsorber using examples of hollow glass microspheres or a composite sorbent on their basis.

To carry out this research, a special experimental stand has been prepared for the determination of transport characteristics of various media for various gases at given pressure and temperature values inside the adsorber. The technique of experiments and processing experimental data for the purpose of determining the coefficient of helium permeability for the investigated type of hollow microspherical membranes has been worked out.

There were obtained the gas permeability of the granular medium, the propagation velocity of the pressure wave in a granular medium, and filling time with the working gas of the adsorber containing microspheres of type MS-V-2L, MS-VP, MS-VP-A9 or the composite sorbent based on microspheres MS-VP-A9.
В работе получен второй член асимптотического разложения Эджворта для функций распределения канонических статистик Мизеса третьего порядка, построенных по выборкам растущего объема из последовательности независимых одинаково распределенных случайных величин. Оценка остаточного члена имеет правильный порядок малости $O(n^{-1})$.
In this work the effects of pressure and temperature on the nonlocalized two-electron multicentric covalent bonds ('pancake bonding') in closely bound radical dimers were probed by single-crystal X-ray diffraction on a 4-cyano-N-methylpyridinium salt of 5,6-dichloro-2,3dicyanosemiquinone (DDQ•4CN) and I-methylpyridinium salt of tetrabromosemiquinone radical anion (Br4Q•NMePyr) as the sample compounds.

The DDQ•4CN crystal structure can be described as closely bound stacked dimers of radical anions with interplanar separation <3.2 Å, which is known as non-localized two electron covalent bonding.At ambient conditions the stacks of pancake bonded radical anions are formed by two types of distances: short intra-dimer and long inter-dimer contacts.On cooling, the anisotropic structural compression was accompanied by continuous changes in molecular stacking; the discontinuities in the changes in volume and b and c cell parameters suggest that a phase transformation occurs between 210 and 240 K.At a pressure of 2.55 GPa, both distances between radical dimers shortened to 2.9 Å, and become roughly equal, which corresponds to distances observed in extended-bonded polymers.Increasing pressure further to 6 GPa reduced the interplanar separation of the radicals to 2.75 Å, which may indicate that the covalent component of the interaction significantly increased [1].The linear strain analysis shows that the most deformations of pressure and temperature occurs in the direction of pancake bonding.The Br4Q•NMePyr crystal structure is built of infinite stacks of equidistant radical anions with no Peierls distortion [2].On cooling the structure is compressed monotonically, the distance between radicals changes non-linearly, compress to <3.3 Å, but the space group remains the same.Upon pressure, the structure is compressed monotonically with no phase transformations in all the pressure range (0 -6.0 GPa), the lowest interplanar distance is <2.9 GPa, that may indicate the increasing of the covalent component in pancake bond and a significant decrease of the electron jumping barrier which may influence semiconductivity.

At a pressure of 2.55 GPa, both distances between radical dimers shortened to 2.9 Å, and become roughly equal, which corresponds to distances observed in extended-bonded polymers.Increasing pressure further to 6 GPa reduced the interplanar separation of the radicals to 2.75 Å, which may indicate that the covalent component of the interaction significantly increased [1].Upon pressure, the structure is compressed monotonically with no phase transformations in all the pressure range (0 -6.0 GPa), the lowest interplanar distance is <2.9 GPa, that may indicate the increasing of the covalent component in pancake bond and a significant decrease of the electron jumping barrier which may influence semiconductivity.
We consider a single machine, a set of unit-time jobs, and a set of unit-time errors. We assume that the time-slot at which each error will occur is not known in advance but, for every error, there exists an uncertainty area during which the error will take place. In order to find if the error occurs in a specific time-slot, it is necessary to issue a query to it.

In this work, we study two problems: (i) the error-query scheduling problem, whose aim is to reveal enough error-free slots with the minimum number of queries, and (ii) the lexicographic error-query scheduling problem where we seek the earliest error-free slots with the minimum number of queries. We consider both the off-line and the on-line versions of the above problems. In the former, the whole instance and its characteristics are known in advance and we give a polynomial-time algorithm for the error-query scheduling problem. In the latter, the adversary has the power to decide, in an on-line way, the time-slot of appearance for each error.

We propose then both lower bounds and algorithms whose competitive ratios asymptotically match these lower bounds.
In this study, the levels of salivary IgG1, IgG2, IgG3 and IgG4 from individuals with and without homozygous immunoglobulin heavy chain constant gene deletions were quantified by enzyme‐linked immunosorbent assay (ELISA).

To analyse the restriction of salivary IgG subclasses, we used unstimulated whole saliva and sera collected at the same time from individuals with homozygous gene deletions, two with G1 deletion, one with G4 deletion, six with both G2 and G4 deletions and from eight individuals without IGHG gene deletions and expressing all four IgG subclasses. The median values of salivary IgG from individuals with homozygous G1, or G4, or both G2 and G4 deletions, and from individuals expressing all four subclasses were 24.2 mg/l and 23.4 mg/l, respectively. The median values of serum IgG were 13.7 g/l and 15.9 g/l, respectively.

Our results show that the salivary and serum IgG levels were both within the normal range in individuals with homozygous gene deletions of either G1, or G4, or both G2 and G4.
The International Olympiad in Cryptography NSUCRYPTO is the unique Olympiad containing scientific mathematical problems for professionals, school and university students from any country. Its aim is to involve young researchers in solving curious and tough scientific problems of modern cryptography. In 2020, it was held for the seventh time. Prizes and diplomas were awarded to 84 participants in the first round and 49 teams in the second round from 32 countries. In this paper, problems and their solutions of NSUCRYPTO'2020 are presented. We consider problems related to attacks on ciphers and hash functions, protocols, permutations, primality tests, etc. We discuss several open problems on JPEG encoding, Miller -- Rabin primality test, special bases in the vector space, AES-GCM. The problem of a modified Miller -- Rabin primality test was solved during the Olympiad. The problem for finding special bases was partially solved.
A search for a heavy neutral Higgs boson, A , decaying into a Z boson and another heavy Higgs boson, H , is performed using a data sample corresponding to an integrated luminosity of 139 fb $$^{-1}$$ -1 from proton–proton collisions at $$\sqrt{s} = 13$$ s=13 $$\text {TeV}$$ TeV recorded by the ATLAS detector at the LHC.

The search considers the Z boson decaying into electrons or muons and the H boson into a pair of b -quarks or W bosons. The mass range considered is 230–800 $$\text {GeV}$$ GeV for the A boson and 130–700 $$\text {GeV}$$ GeV for the H boson.

The data are in good agreement with the background predicted by the Standard Model, and therefore 95% confidence-level upper limits for $$\sigma \times B(A\rightarrow ZH)\times B(H\rightarrow bb \; \text {or} \; H \rightarrow WW)$$ σ×B(A→ZH)×B(H→bborH→WW) are set. The upper limits are in the range 0.0062–0.380 pb for the $$H\rightarrow bb$$ H→bb channel and in the range 0.023–8.9 pb for the $$H\rightarrow WW$$ H→WW channel. An interpretation of the results in the context of two-Higgs-doublet models is also given.
Cnoidal waves are the exact periodic solutions of the NLS equation and can be represented as a lattice of overlapping solitons. MI of these lattices lead to development of 'integrable turbulence' [Zakharov V.E., Stud. Appl. Math. 122, 219-234 (2009)].

We study numerically the nonlinear stage of modulational instability (MI) of cnoidal waves, in the framework of the focusing one-dimensional Nonlinear Schrodinger (NLS) equation. We study the major characteristics of the turbulence for dn-branch of cnoidal waves and demonstrate how these characteristics depend on the degree of 'overlapping' between the solitons within the cnoidal wave.

Integrable turbulence, that develops from MI of dn-branch of cnoidal waves, asymptotically approaches to it's stationary state in oscillatory way. During this process kinetic and potential energies oscillate around their asymptotic values. The amplitudes of these oscillations decay with time as t^{-a}, 1
Pour ce faire on a recours à des expériences psycholinguistiques au cours desquelles les personnes interviewées donnent leur définition du substantif, une comparaison, une association et une phrase dans laquelle il est utilisé.

L’article présente les premiers résultats de ces expériences menées courant 2013.
In the article features of resource-raw development of the Russian economy for the period between 2000 and 2014 have been considered. The main features of the resource-raw development of the Russian economy at the present stage have been analyzed.

The main features of the resource-raw development of the Russian economy at the present stage have been analyzed.

The basic principles of the transition of the Russian economy to a resource-innovative development trajectory have been formulated.
The article is devoted to a lexical analysis of the New Testament translation into Russian performed by an established statespersonKonstantin Pobedonostsev (1827Pobedonostsev ( -1907) ) at the beginning of the 20 th century.

The lexical particularities of it have been revealed by means of its lexical comparison with the Synodal translation and the Church-Slavonic liturgical version.According to academic interpretation of the data collected the author stated that Konstantin Pobedonostsev's translationpreservesmore resemblance to the Church-Slavonic liturgical version, as there are 185 wordsinhis work, which were not found in the Synodal translation, but were used in Church-Slavonic liturgical version.The major part of the words is registered in lexicographical sources and reflects language norms of Pobedonostsev's lifetime.However, the smaller part is registered in the Russian Language National Corpus as being presented in the texts of the 1820-1920 period.

The vocabulary specificity of the translation version under study lies in vast references to the Church-Slavonic liturgical version word pool.This fact is explained by stylistic preferences of the Gospel translators as well as by the target addressee image (people who are well informed about the orthodox liturgical tradition).In conclusion the author states that in his translation Konstantin Pobedonostsev never took words from the Church-Slavonic texts without prolonged meditation, the replacement cases seem to be an intentional choice of the words that were frequently used in the speech of his epoch.
Method of microwave digestion using HNO3, HCl and HF in MARS‑5 system followed by ICP-MS analysis is proposed for determination of rare earth elements (REE) in plant materials. Limits of detection are 0.0001–0.001 ppm and allow for determination of all REE in certified reference materials Tr‑1, LB‑1 and EK‑1 and new reference material NSP‑1, relative standard deviations are lower than 13 %.Influence of HF addition during microwave digestion in UltraWAVE system on the ICP-MS analysis of REE in plant materials depending on silica content is studied. Necessity of HF addition during microwave digestion for better REE recoveries is shown for plant materials with Si contents exceeding 0.1 %
As a source of the pulses we used 8-figure fiber laser with two amplifying fibers inside both loops of the laser cavity. Such configuration provides various pulsed regimes that have different degree of coherence from fully mode-locked single scale pulses to partly mode-locked double scale pulses.

In the current work we demonstrate mode-locked fiber laser with automatic adjustment a coherence degree of the output pulses. To search a pulsed regime with defined parameters we applied automatic genetic algorithm.

To prove the feasibility of the genetic algorithm we applied it to find double – scale pulsed regimes with a fixed envelope duration of 50 ps and the contrast of the coherence peak in range of 0.02 – 0.5.
β-(1→3)-D-Glucan is an essential component of the fungal cell wall. Mouse monoclonal antibodies (mAbs) against synthetic nona-β-(1→3)-D-glucoside conjugated with bovine serum albumin (BSA) were generated using hybridoma technology. The affinity constants of two selected mAbs, 3G11 and 5H5, measured by a surface plasmon resonance biosensor assay using biotinylated nona-β-(1→3)-D-glucan as the ligand, were approximately 11 nM and 1.9 nM, respectively. The glycoarray, which included a series of synthetic oligosaccharide derivatives representing β-glucans with different lengths of oligo-β-(1→3)-D-glucoside chains, demonstrated that linear tri-, penta- and nonaglucoside, as well as a β-(1→6)-branched octasaccharide, were recognized by mAb 5H5. By contrast, only linear oligo-β-(1→3)-D-glucoside chains that were not shorter than pentaglucosides (but not the branched octaglucoside) were ligands for mAb 3G11. Immunolabelling indicated that 3G11 and 5H5 interact with both yeasts and filamentous fungi, including species from Aspergillus, Candida, Penicillium genera and Saccharomyces cerevisiae, but not bacteria. Both mAbs could inhibit the germination of Aspergillus fumigatus conidia during the initial hours and demonstrated synergy with the antifungal fluconazole in killing C. albicans in vitro. In addition, mAbs 3G11 and 5H5 demonstrated protective activity in in vivo experiments, suggesting that these β-glucan-specific mAbs could be useful in combinatorial antifungal therapy.
At the end of 2016 the SND detector resumed data taking at the upgraded VEPP-2000 e + e − collider. The analysis of data accumulated in 2010-2013 with an integrated lumonosity of 70 pb −1 is continuing.

Recent results on measurements of various hadronic cross sections are presented.
The article discusses the main trends in the development of modern gas processing, analyzes the dynamics and regional structure of gas processing in Russia. The authors formulated the urgent problems of gas processing and identified the main promising directions for the development of the gas processing industry in Russia. A significant barrier is the lack of new technological solutions for the processing and utilization of all components produced with gas in the North of Western Siberia. Priority directions for the development of gas processing are associated with the construction of new gas processing and gas chemical facilities required for the qualified and efficient use of associated gas components.
Bread wheat (Triticum aestivum) inflorescences, or spikes, are characteristically unbranched and normally bear one spikelet per rachis node. Wheat mutants on which supernumerary spikelets (SSs) develop are particularly useful resources for work towards understanding the genetic mechanisms underlying wheat inflorescence architecture and, ultimately, yield components. Here, we report the characterization of genetically unrelated mutants leading to the identification of the wheat FRIZZY PANICLE (FZP) gene, encoding a member of the APETALA2/Ethylene Response Factor transcription factor family, which drives the SS trait in bread wheat. Structural and functional characterization of the three wheat FZP homoeologous genes (WFZP) revealed that coding mutations of WFZP-D cause the SS phenotype, with the most severe effect when WFZP-D lesions are combined with a frameshift mutation in WFZP-A. We provide WFZP-based resources that may be useful for genetic manipulations with the aim of improving bread wheat yield by increasing grain number.
We perform the first search for lepton-number-violating B+->D-l+l'+ decays, where l and l' stand for e or mu, using 772 x 10^6 BB-bar pairs accumulated at the Upsilon(4S) resonance with the Belle detector at the KEKB e^+e^- collider.

Assuming uniform three-body phase space distributions for the D-l+l+ decays

No evidence for these decays has been found. we set the following upper limits on the branching fractions at 90% confidence level: Br(B+ -> D-e+e+) D-e+mu+) D-mu+mu+) < 1.0x10^-6.