Academic literature on the topic 'Trace completeness'

ABSTRACT RR Lyrae stars are an important and widely used tracer of the most ancient populations of our Galaxy, mainly due to their standard candle nature. The current availability of large-scale surveys of variable stars is allowing us to trace the structure of our entire Galaxy, even in previously inaccessible areas like the Galactic disc. In this work, we aim to provide an empirical assessment of the completeness of the three largest RR Lyrae catalogues available: Gaia DR2, PanSTARRS-1, and ASAS-SN-II. Using a joint probabilistic analysis of the three surveys we compute 2D and 3D completeness maps in each survey’s full magnitude range. At the bright end (G < 13), we find that ASAS-SN-II and Gaia are near 100 per cent complete in RRab at high latitude (|b| > 20°); ASAS-SN-II has the best completeness at low latitude for RRab and at all latitudes for RRc. At the faint end (G > 13), Gaia DR2 is the most complete catalogue for both RR Lyrae types, at any latitude, with median completeness rates of $95{{\ \rm per\ cent}}$ (RRab) and $\gt 85{{\ \rm per\ cent}}$ (RRc) outside the ecliptic plane (|β| > 25°). We confirm high and uniform completeness of PanSTARRS-1 RR Lyrae at 91 per cent (ab) and 82 per cent (c) down to G ∼ 18, and provide the first estimate of its completeness at low galactic latitude (|b| ≤ 20°) at estimated medians $65{{\ \rm per\ cent}}$ (ab) and $50\!-\!60{{\ \rm per\ cent}}$ (c). Our results are publicly available as 2D and 3D completeness maps, and as functions to evaluate each survey’s completeness versus distance or per line of sight.

In this paper, we investigate several equivalence relations for probabilistic labeled transition systems: bisimulation equivalence, readiness equivalence, failure equivalence, trace equivalence, maximal trace equivalence and finite trace equivalence. We formally prove the inclusions (equalities) among these equivalences. We also show that readiness, failure, trace, maximum trace and finite trace equivalences for finite probabilistic labeled transition systems are decidable in polynomial time. This should be contrasted with the PSPACE completeness of the same equivalences for classical labeled transition systems. Moreover, we derive an efficient polynomial time algorithm for deciding bisimulation equivalence for finite probabilistic labeled transition systems. The special case of initiated probabilistic transition systems will be considered. We show that the isomorphism problem for finite initiated labeled probabilistic transition systems is NC(1) equivalent to graph isomorphism.

This paper explores a three dimensional characterisation of a declassification-based non-interference policy and its consequences. Two of the dimensions consist of specifying:(a)the power of the attacker, that is, what public information a program has that an attacker can observe; and(b)what secret information a program has that needs to be protected.Both these dimensions are regulated by the third dimension:(c)the choice of program semantics, for example, trace semantics or denotational semantics, or any semantics in Cousot's semantics hierarchy.To check whether a program satisfies a non-interference policy, one can compute an abstract domain that over-approximates the information released by the policy and then check whether program execution can release more information than permitted by the policy. Counterexamples to a policy can be generated by using a variant of the Paige–Tarjan algorithm for partition refinement. Given the counterexamples, the policy can be refined so that the least amount of confidential information required for making the program secure is declassified.

Background Test-trace-isolate programs are an essential part of coronavirus disease 2019 (COVID-19) control that offer a more targeted approach than many other nonpharmaceutical interventions. Effective use of such programs requires methods to estimate their current and anticipated impact. Methods and findings We present a mathematical modeling framework to evaluate the expected reductions in the reproductive number, R, from test-trace-isolate programs. This framework is implemented in a publicly available R package and an online application. We evaluated the effects of completeness in case detection and contact tracing and speed of isolation and quarantine using parameters consistent with COVID-19 transmission (R0: 2.5, generation time: 6.5 days). We show that R is most sensitive to changes in the proportion of cases detected in almost all scenarios, and other metrics have a reduced impact when case detection levels are low (<30%). Although test-trace-isolate programs can contribute substantially to reducing R, exceptional performance across all metrics is needed to bring R below one through test-trace-isolate alone, highlighting the need for comprehensive control strategies. Results from this model also indicate that metrics used to evaluate performance of test-trace-isolate, such as the proportion of identified infections among traced contacts, may be misleading. While estimates of the impact of test-trace-isolate are sensitive to assumptions about COVID-19 natural history and adherence to isolation and quarantine, our qualitative findings are robust across numerous sensitivity analyses. Conclusions Effective test-trace-isolate programs first need to be strong in the “test” component, as case detection underlies all other program activities. Even moderately effective test-trace-isolate programs are an important tool for controlling the COVID-19 pandemic and can alleviate the need for more restrictive social distancing measures.

The aim of our research is to trace and passport the Russian bells in Bulgaria on the way of the Russian troops from the Danube to Shipka, given in gratitude for the help provided during the Russian-Turkish War (1877-1878). We base our research on previous similar projects that we have successfully completed. In this paper we formulate stages of our project and present current situation in their completeness.

Abstract We present Kepler exoplanet occurrence rates for planets between 0.5 and 16 R ⊕ and between 1 and 400 days. To measure occurrence, we use a nonparametric method via a kernel density estimator and use bootstrap random sampling for uncertainty estimation. We use a full characterization of completeness and reliability measurements from the Kepler Data Release 25 catalog, including detection efficiency, vetting completeness, astrophysical reliability, and false alarm reliability. We also include more accurate and homogeneous stellar radii from Gaia Data Release 2. In order to see the impact of these final Kepler properties, we revisit benchmark exoplanet occurrence rate measurements from the literature. We compare our measurements with previous studies to both validate our method and observe the dependence of these benchmarks on updated stellar and planet properties. For FGK stars, between 0.5 and 16 R ⊕ and between 1 and 400 days, we find an occurrence of 1.52 ± 0.08 planets per star. We investigate the dependence of occurrence as a function of radius, orbital period, and stellar type and compare with previous studies with excellent agreement. We measure the minimum of the radius valley to be 1.78 − 0.16 + 0.14 R ⊕ for FGK stars and find it to move to smaller radii for cooler stars. We also present new measurements of the slope of the occurrence cliff at 3–4 R ⊕, and find that the cliff becomes less steep at long orbital period. Our methodology will enable us to constrain theoretical models of planet formation and evolution in the future.

Abstract. Biomass burning is one of the largest sources of atmospheric trace gases and aerosols globally. These emissions have a major impact on the radiative balance of the atmosphere and on air quality, and are thus of significant scientific and societal interest. Several datasets have been developed that quantify those emissions on a global grid and offered to the atmospheric modelling community. However, no study has yet attempted to systematically quantify the dependence of the inferred pyrogenic emissions on underlying assumptions and input data. Such a sensitivity study is needed for understanding how well we can currently model those emissions and what the factors are that contribute to uncertainties in those emission estimates. Here, we combine various satellite-derived burned area products, a terrestrial ecosystem model to simulate fuel loads and the effect of fire on ecosystem dynamics, a model of fuel combustion, and various emission models that relate combusted biomass to the emission of various trace gases and aerosols. We carry out simulations with varying parameters for combustion completeness and fuel decomposition rates within published estimates, four different emissions models and three different global burned-area products. We find that variations in combustion completeness and simulated fuel loads have the largest impact on simulated global emissions for most species, except for some with highly uncertain emission factors. Variation in burned-area estimates also contribute considerably to emission uncertainties. We conclude that global models urgently need more field-based data for better parameterisation of combustion completeness and validation of simulated fuel loads, and that further validation and improvement of burned area information is necessary for accurately modelling global wildfire emissions. The results are important for chemical transport modelling studies, and for simulations of biomass burning impacts on the atmosphere under future climate change scenarios.

La compréhension du trafic sans fil est fondamentale pour améliorer les réseaux et concevoir des algorithmes et des protocoles avancés. Dans ce contexte, les mesures passives ont l'avantage sur les mesures actives, car elles ne dépendent d'aucune modification des équipements réseau existants. Elles sont souvent moins coûteuses et plus faciles à déployer que d'autres méthodes. Cette approche consiste à surveiller le support sans fil et à collecter des données sur divers paramètres de réseau, tels que la force du signal, l'occupation des canaux et la perte de paquets. Elle consiste à déployer plusieurs sniffeurs dans la zone cible (les sniffeurs sont des dispositifs fonctionnant en « monitor mode » qui collectent les paquets sans fil indépendamment de leur nature). Cependant, l'un des principaux défis des mesures passives est d'assurer la complétude de la trace, c'est-à-dire la capacité à collecter un ensemble de données complet et précis. Nous montrons qu'un seul sniffeur ne peut pas capturer tout le trafic en raison des caractéristiques inhérentes du support sans fil, où l'environnement peut être hautement dynamique et imprévisible. Il existe plusieurs facteurs qui peuvent affecter la complétude de la trace dans les mesures passives sans fil. Celles-ci incluent des facteurs environnementaux, tels que les interférences provenant d'autres dispositifs sans fil, les changements dans l'environnement physique (comme les objets en mouvement) et les variations de propagation du signal sans fil dues aux changements des conditions atmosphériques. De plus, des problèmes avec l'équipement de mesure lui-même, tels que des erreurs de calibration ou des problèmes de traitement des données, peuvent également affecter la complétude de la trace. L'importance de la complétude de la trace dans les mesures passives sans fil ne peut être surestimée. Des données inexactes ou incomplètes peuvent conduire à des conclusions incorrectes sur les performances du réseau, ce qui peut avoir des implications significatives pour la planification, l'optimisation et le dépannage du réseau. Par exemple, des données incomplètes peuvent entraîner des opportunités manquées pour identifier et résoudre des problèmes de réseau, ainsi qu'une reconstruction de trajectoire incorrecte ou incomplète. Dans cette thèse, nous étudions la qualité des traces capturées par des sniffeurs et examinons les améliorations résultantes en introduisant de la redondance dans le nombre de sniffeurs. Nous étudions l'impact des deux aspects suivants sur la qualité des traces sans fil : le nombre de sniffeurs et le type de matériel utilisé. Nous étudions la variation de l'indicateur de force du signal reçu (RSSI) et son impact sur l'estimation de la distance. L'analyse est facilitée par le développement d'un outil facilement utilisable et disponible appelé PyPal pour la synchronisation et la fusion de traces Wi-Fi collectées simultanément
Understanding wireless traffic is fundamental for improving networks and designing advanced algorithms and protocols. In this context, passive measurements have the edge over active measurements, as there is no requirement for any modification in existing network devices. Passive measurements are often less expensive and easier to deploy than other methods. This approach involves monitoring the wireless medium and collecting data on various network parameters, such as signal strength, channel occupancy, and packet loss. It consists of deploying multiple sniffers throughout the target area (sniffers are devices operating in monitor mode that collect the wireless packets regardless of their nature). However, one of the main challenges with passive measurements is ensuring trace completeness, or the ability to collect a complete and accurate dataset. We know that a single sniffer cannot capture all the traffic due to the inherent characteristics of the wireless medium where the environment can be highly dynamic and unpredictable. Several factors can impact trace completeness in wireless passive measurements. These include environmental factors, such as interference from other wireless devices, changes in the physical environment (such as moving objects), and variations in wireless signal propagation due to changes in atmospheric conditions. Additionally, issues with the measurement equipment itself, such as calibration errors or data processing issues, can also impact trace completeness. The importance of trace completeness in wireless passive measurements cannot be overstated. Inaccurate or incomplete data can lead to incorrect conclusions about network performance, which can have significant implications for network planning, optimization, and troubleshooting. For example, incomplete data can result in missed opportunities to identify and address network issues, and incorrect or incomplete trajectory reconstruction. In this thesis, we study the quality of traces captured by a sniffer and investigate the resulting improvements by introducing redundancy in the number of sniffers. We explore the impact of the following two aspects on the quality of wireless traces: the number of sniffing devices and the type of hardware used. We study the variation in the Received Signal Strength Indicator (RSSI) and its impact on distance estimation. The analysis is helped by the development of a readily-usable and easily-available tool, called PyPal, for the synchronization and merging of Wi-Fi traces collected simultaneously

Plusieurs auteurs ont utilisé les champs de contraintes pour résoudre l'équation d’équilibre de la mécanique des milieux continus. Airy (1863) a résolu le cas bidimensionnel, Maxwell (1870) et Morera (1892) ont étudié le cas tridimensionnel. Les solutions obtenues sont des cas particuliers de celles de Beltrami (1892). Gurtin a donné un exemple de solutions ne satisfaisant pas la représentation S = CurlCurlA de Beltrami, ce qui signifie que la représentation précédente est incomplète. De plus, il a montré que si l’ouvert est régulier, alors elle est complète dans l’espace des champs réguliers de contraintes auto-équilibrés.Dans cette thèse intitulée ”Caractérisations de champs de matrices, potentiels matrices et applications aux opérateurs traces”, on s’intéresse à diverses caractérisations de champs de vecteurs, de champs de matrices et spécialement au résultat de Gurtin dans le cas où l’ouvert et les champs de contraintes ne sont pas réguliers.Cette thèse est décomposée en cinq chapitres. Le premier chapitre expose la problématique de recherche traitée dans cette thèse. Il présente également l’origine du sujet de recherche. Dans le deuxième chapitre, on étudie l’opérateur et en particulier l’existence de potentiels vecteurs dans différents cadres fonctionnels.Dans les chapitres 3 et 4, on va montrer quelques versions de la complétude de la représentation de Beltrami et en déduire des décompositions de Helmholtz pour les champs de matrices.Le dernier chapitre est consacré à l’étude de l’image de différents opérateurs traces de fonctions W 2,p (Ω), W 3,p (Ω) lorsque Ω est un ouvert borné de R 2 lipschitzien. L’ingrédient essentiel est donné par la fonction d’Airy ou par la représentation de Beltrami
Many authors have used stress fields to solve the equilibrium equation of continuum me- chanics. Airy (1863) solved the two-dimensional case, Maxwell (1870) and Morera (1892) solved the three-dimensional case. The above solutions are special cases of those of Beltrami (1892). Gurtin gave an example of solutions that do not have Beltrami’s S = CurlCurlA representation. He showed that if the domain Ω is regular, then this representation is complete in the class of regular stress fields which are self-equilibrated.My thesis title is ”Characterizations of matrix fields, potential matrices and applications to trace operators”. In this work, we are interested by showing many characterizations ofvector fields, of matrix fields and especially by generalizing the result of Gurtin in the case when the open set and the stress fields are not regular.This thesis consists of five chapters. The first chapter presents the research problem ad- dressed in this thesis. It also presents the origin of the subject of research.In the second chapter, we study the operator . In particular, the existence of potential vectors in different functional frameworks.In Chapters 3 and 4, we will show some versions of Beltrami’s completeness and we deduce some Helmholtz decomopsitions for symmetric matrix fields.The last chapter is devoted to the study of the image of different trace operators of functions W 2,p (Ω), W 3,p (Ω) when Ω is a bounded open of R 2 with Lipschitz boundary. The essential ingredient is given by the Airy’s function or by the Beltrami representation

AbstractWe propose a cut-free cyclic system for Transitive Closure Logic (TCL) based on a form of hypersequents, suitable for automated reasoning via proof search. We show that previously proposed sequent systems are cut-free incomplete for basic validities from Kleene Algebra (KA) and Propositional Dynamic Logic ($$\mathrm {PDL}$$ PDL ), over standard translations. On the other hand, our system faithfully simulates known cyclic systems for KA and $$\mathrm {PDL}$$ PDL , thereby inheriting their completeness results. A peculiarity of our system is its richer correctness criterion, exhibiting ‘alternating traces’ and necessitating a more intricate soundness argument than for traditional cyclic proofs.

AbstractBounded model checking (BMC) is an effective technique for hunting bugs by incrementally exploring the state space of a system. To reason about infinite traces through a finite structure and to ultimately obtain completeness, BMC incorporates loop conditions that revisit previously observed states. This paper focuses on developing loop conditions for BMC of – a temporal logic for hyperproperties that allows expressing important policies for security and consistency in concurrent systems, etc. Loop conditions for are more complicated than for , as different traces may loop inconsistently in unrelated moments. Existing BMC approaches for only considered linear unrollings without any looping capability, which precludes both finding small infinite traces and obtaining a complete technique. We investigate loop conditions for BMC, for formulas that contain up to one quantifier alternation. We first present a general complete automata-based technique which is based on bounds of maximum unrollings. Then, we introduce alternative simulation-based algorithms that allow exploiting short loops effectively, generating SAT queries whose satisfiability guarantees the outcome of the original model checking problem. We also report empirical evaluation of the prototype implementation of our BMC techniques using .

AbstractMultiparty session types (MSTs) are a type-based approach to verifying communication protocols. Central to MSTs is a projection operator: a partial function that maps protocols represented as global types to correct-by-construction implementations for each participant, represented as a communicating state machine. Existing projection operators are syntactic in nature, and trade efficiency for completeness. We present the first projection operator that is sound, complete, and efficient. Our projection separates synthesis from checking implementability. For synthesis, we use a simple automata-theoretic construction; for checking implementability, we present succinct conditions that summarize insights into the property of implementability. We use these conditions to show that MST implementability is PSPACE-complete. This improves upon a previous decision procedure that is in EXPSPACE and applies to a smaller class of MSTs. We demonstrate the effectiveness of our approach using a prototype implementation, which handles global types not supported by previous work without sacrificing performance.

The conclusion of contracts was known in ancient times and is still relevant today. Shares that are not distributed in kind can cause certain difficulties that force the interested parties to decide on distribution.Joint ownership of inherited property received from a family member necessitates joint decision-making on its maintenance, ownership, use, and disposal, and it is difficult to achieve such a consensus on all issues. Therefore, quite often a certain period may pass from the acquisition of the right to a share in the joint property to its distribution, but due to conflicts regarding the use of the property or in the case of the need to receive funds or for other reasons, the joint property is divided by the co-owners. That is, the reasons may even be questions of how to use agricultural land, for example, to rent it out, sow it yourself, plant a garden, etc. However, the complexity of the division of land plots is because it is difficult to «divide» agricultural lands at least. After all, their intended use depends on the size, etc. Quite often, disputes also arise regarding the use of residential buildings, since the size and location of the rooms make their use impossible or difficult, as well as the distribution in kind according to the inherited shares. In other words, there is a certain «trading» of assets. If the situation is related to the distribution of a small plot of land where the house is located, then questions also arise regarding the establishment of an easement, as well as mutual concessions for the compensation of a part of the house in exchange for most of the land. In general, there are protracted negotiations, from the point of view of which these parties, who are still in a family relationship, agree on the division of property.Factors that can affect the outcome of property division include unique family circumstances, the specific nature of assets, and traditional legal practices. The parties will use different mechanisms for the division of joint assets: sale, donation, or exchange, under the terms of which they «trade» with the consent of others their rights as co-owners of jointly owned objects. The various evolutionary stages of the agreement on the division of property by the testator’s family culminate in the final stage of agreeing. The agreement on the division of inheritance is a complex legal process. Potentially, in a single transaction, the beneficiaries can choose and implement the division by sale, exchange, or donation. These different legal constructions reflect the uniqueness of the decisions in each agreement and to some extent demonstrate the specific legal practice of the individual Old Babylonian city-state and the particular circumstances of each family.However, in addition to the division of property, there are other agreements regarding the division of inheritance. For example, an agreement on quasi-partition upon adoption (quasi-adoption), an agreement on the division of residential property by the owner between its future beneficiaries.The need to conclude such agreements arises when an agreement on the division of property is required, which differs from such concepts as sale, donation, exchange, etc.Domestic scientists consider the agreement on the distribution of joint property very broadly and include other types of agreements in the list of such agreements, establishing that the agreement on changing the succession of the right to inheritance by law is atypical. It was determined that the contract under investigation belongs to contracts on the distribution of inheritance. Agreements on the distribution of inheritance are concluded in the field of inheritance, which indicates that they belong to inheritance agreements. It is proposed to supplement the existing classifications of civil law contracts by distinguishing a new type of civil law contracts – contracts in the law of inheritance on the level with the selection of a new type of inheritance contracts – contracts on the distribution of inheritance.» This is a bold hypothesis, but it is difficult to agree with it for various reasons, not least because the distribution of inheritance has been known since ancient times.The factor that the term «distribution» of inheritance and giving it a broad legal meaning is analyzed is an interesting author’s hypothesis. At the same time, according to our position, the term «distribution of inheritance» is more balanced, since in Art. 1278 of the Civil Code does not quite successfully use the term «division», when in the content of this norm it is about the equality of shares in the inheritance and the allocation of a share in kind, and not about division. However, in Part 1 of Art. 1280 of the Civil Code, the term «distribution» is used with a direct meaning and «redistribution» as an opportunity to review the results of the distribution under new circumstances – in the case of acceptance of the inheritance by other heirs. In essence, the obvious meaning of the term «distribution» follows from this norm as the initial determination of the ownership of the share of each of the heirs. In this sense, the redistribution of the inheritance should be connected with the possible introduction of changes to the previously made distribution, that is, in this case, we do not limit the number of subsequent redistributions of the inheritance. This hypothesis is related to the fact that the number of heirs who missed the deadline for valid reasons is not limited by legislation and cannot be limited, but is determined by various legal circumstances.Therefore, it is hardly expedient and possible, to apply in Art. 1280 of the Civil Code, the concept of «distribution» should be given a wider meaning than it has in the Civil Code, as this would lead to its ambiguous perception and application both in theory and in legislation and practice. Usually, theoretical terms should be distinguished by being original and should accurately reflect the legal meaning of actions, events, or conditions.But an important element of the procedure for the distribution of common inheritance property or its redistribution are the subjects who must fix the relevant agreement or carry out such distribution according to their conviction.It is indicated that the practice of concluding contracts by the living owner with his future heirs is widespread in foreign countries. At the same time, German experts equate inheritance with what they consider to be contractual inheritance.It should be noted that the practice of concluding contracts on the distribution of inheritance in the practice of the Ukrainian notary is relatively new and does not have clear boundaries in regulation, which complicates the activity of notaries in certifying such contracts. There are several difficulties in the application of relevant legal norms in practice, as there is a lack of understanding of the legal nature and essence of the conclusion of contracts, the term of conclusion, and the procedure for notarization.The opinions of individual authors are studied, about legal relations regarding the division of inheritance characterized by a weak state policy, this obliges the participants of such relations to draw up the content of agreements on the division of inheritance independently. For agreements between heirs on the distribution of inheritance to be valid regulators of the relations of its participants (heirs), conditions (clauses) must be clarified and formulated, which will be disclosed with sufficient completeness and consistency of the content of the relevant agreement and the purpose of its conclusion.We do not agree with this point of view of the scientist regarding «weak state policy», since the Central Committee of Ukraine was not created by politicians or the Ministry of Justice of Ukraine, but by leading scientists of Ukraine. It is also difficult to agree with the statement that the lack of clear regulation of the terms of inheritance contracts «obliges the participants of such relationships to independently draw up the content of inheritance distribution contracts.» In Ukraine, some good notaries and lawyers can draw up high-quality contracts for the distribution of inheritance. Moreover, according to Art. 4 of the Law of Ukraine «On Notaries», notaries have the right to draw up relevant draft contracts. In our opinion, it is worth emphasizing here that this is a right, not a duty of a notary public. That is, the notary may not undertake the drafting of the relevant project, but this provision is positive for interested parties since the lack of experience in drafting original contracts will most likely lead to the drafting of a low-quality draft contract. Indeed, in this case, it is worth looking for an experienced notary who will be able to draw up a draft contract, but this will make it possible to prevent errors in its drafting with a high probability.Thus, the agreement on the distribution of inheritance enters into force if the parties reach an agreement in the proper form on all the essential terms of the agreement. The main essential condition for agreeing on the division of inheritance is the subject of the agreement. However, either party may consider this condition insufficient and propose to include additional conditions in the contract. In this case, these conditions become essential. In connection with the instability of the regulation of the content of contracts between heirs on the distribution of inheritance, it can be concluded that the inclusion of normal conditions in the contract is currently impossible. We believe that such a general scheme of perception of contract terms is not entirely rational, since how to perceive ordinary terms or essential terms of a contract quite often in practice depends on the judgments of the parties to the contract unless otherwise regulated by legislation. This issue can be approached more precisely if we take into account the possibility of interpreting transactions and contracts (Article 213 of the Civil Code).So, based on the essence of the process of concluding contracts, it should be taken into account that the notary who drafts the contract can edit it, therefore it is worth recognizing the right of the notary to interpret it, since according to Art. 5 of the Law of Ukraine «On Notaries», he is obliged to clarify the legal consequences that will arise for persons after his certification. It follows from this that the notary must be given the official right to interpret the contract upon its certification, then it will be clear that after its certification, the court can interpret the content of the contract. In this regard, Art. 213 of the Civil Code is proposed to be supplemented with a corresponding provision regarding the powers of the notary, namely: his duty to interpret the content of the deed or contract before and during its certification.The Inheritance Regulation, which envisages wide acceptance of the inheritance contract, is considered. It is noted that it is worth revising Ukrainian inheritance law in advance for compliance with European standards since after Ukraine accedes to the EU it will be necessary to inform all EU countries about what types of contracts in Ukraine will be related to the issuance of the European Certificate of Succession.This is also important for inheritance by law, because, in case of non-fulfillment of the terms of the lifetime maintenance (care) agreement and the inheritance agreement, they will have to be terminated or recognized as invalid or unfulfilled by the acquirer, so the property that was the subject of this agreement will be inherited by law. At the same time, if the terms of these agreements are fulfilled, the part of the property that belonged to the testator will not be inherited but will become the property of the acquirers.The process of accepting the inheritance is quite long, and the inheritance law allows for several agreements between the heirs, which can significantly affect the size of the inheritance shares and the real things in each share in the inheritance. Therefore, it is necessary to analyze the possibility of agreements between the heirs at different stages of accepting or not accepting the inheritance. From communication with one of the clients, the author learned that the notary unofficially advised the heirs to agree on the distribution of the inheritance, as well as for certain heirs to waive the right to inheritance, but to receive a proper share of the inheritance in household items. When the author was informed of all the circumstances of the inheritance case, it became clear that the notary could not solve the complex inheritance problem, since the inheritance took place based on a will and some heirs had the right to a mandatory share, as well as part of the property remained. So, in such a situation, it was necessary to solve an arithmetical and at the same time legal problem, the complexity of which was determined by the complex subject composition of numerous heirs. Therefore, the notary tried to simplify its solution by artificially «transforming» the heirs who have the right to a mandatory share into ordinary heirs who claim property that is not subject to recording in the certificate of the right to inheritance.A natural will was considered, when the testator bequeathed the specific property to each of the heirs, namely: a house to a daughter, a factory to one son, and a yacht to another let’s say. In such a case, the will of the testator is formulated in the Shodo of the objects of inheritance, so it is difficult to perceive the consequences of the refusal of one of the heirs to inherit, when the yacht will be divided into equal shares between the son and the daughter, because: firstly, the value of the factory and the house will be different, so someone from the testator gave the children a larger inheritance than the other. Secondly, in the case of the existence of a part of the inheritance not covered by the will, it can be assumed with a high degree of probability that the will of the testator was formulated about a certain property and nothing more. Therefore, in case of refusal of one of the heirs to inherit under the will, the property bequeathed to him should be considered as not covered by the will and should be inherited according to the law. That is, if the will of the testator regarding the entire property is revealed, it can be assumed that he thus intended to deprive one of the heirs of the right to inheritance.At the same time, the will must be interpreted not only by the heirs under the will but also by the heirs under the law, when its content concerns the right to a mandatory share in the inheritance, which belongs to the heirs under the law of the first rank, who due to incapacity have the right to claim it, as well as the recipients of the response. With a high degree of probability, it can be assumed that the inheritance, which consists of household items, will be divided even without a written agreement. However, the interpretation of a will, which concerns a substantial inheritance between a significant number of heirs, requires not only a written form of recording of agreements – a contract, but also, in our opinion, a notarial form that will allow recording the agreement more reliably, to explain to the parties to the contract the consequences of its conclusion. If all interested parties sign the agreement, and the notary recognizes it as legal, then it will be difficult to recognize it as illegal or invalid in the next one. Therefore, the agreement on the interpretation of the will, which will establish the specific rights of the heirs and their obligations regarding the coverage of the testator’s debts, is a rational form of specification of the terms of the inheritance, which will allow establishing the executor of the will, if he was not determined by the testator.We can assume with a high degree of probability that similar «simplified calculations» are made by other notaries, as well as directly by the heirs, and certain agreements are not necessary here.

Abstract When discussing such topics as ‘truth in mathematics’, it would be culpable negligence to ignore what logic has to say on the subject. What logic has to offer are theorems, not speculations. We teach these theorems in logic classes, out apparently to no avail, since the teaching does not seem to leave any trace in grown-up mathematicians. Perhaps this is due to the fact that when proving cheorems their significance is seldom discussed; only their mathematical usefulness, as opposed to general wisdom, is stressed. Theorems are admittedly not a detailed description of reality; they refer to idealized models; logic deals only with models of reasoning; but mathematicians, and scientists in general, should know what a tremendous amount of reliable and useful information is conveyed by properties of abstract models. We should sometimes pause to reflect on theprems, besides proving new ones, especially when, as is the case in logic, they concern our own activity.

J. S. Bach has long attracted claims that his music is fundamentally a code to be broken. Interpreters count notes and measures, add up numbers derived from texts, refer to ancient writings, parse doodles, trace out shapes made by notes on the page, and make detailed calculations, all in search of ciphers that reveal hidden meaning. Traditions of scriptural interpretation in which every detail has significance and purpose often provide a model. The idea of “perfection” repeatedly surfaces, suggesting mathematical completeness, along with hypotheses that Bach’s abstract works are connected to other aspects of eighteenth-century culture. The symbolic and allegorical make frequent appearances. There are attempts to relate Bach’s works to elements of his biography that go beyond routine Romantic associations of musical works with personal expression. Many of these theories are amateur work, undertaken perhaps because treatments of Bach’s music are often technical, and because many aspects of the music are alien to the esthetics of the modern world. But the approach also surfaces in scholarly writings. All new claims start from the insufficiently examined premise that Bach worked in codes at all.

This chapter focuses on the internal structure of the lekton. It traces the critical development of the notion of a sentence from Plato’s ‘shortest logos’ in the Sophist with minimal parts, a mainstay in the Platonic and Peripatetic tradition, to the Stoic perspective focused on the notion of completeness: complete is all that is necessary to get one lekton said, however many words or parts of speech may be required to do so. This debate was appropriated, and its different strands merged by the ancient Grammarians. The Stoic influence in the establishment of the discipline is brought out in the discussion. Completeness leads to considerations of incompleteness. The different kinds of complete lekta (questions, commands, exclamations) are tested against a standard of completeness by stripping away different elements to discover that there is a constant axiōmatic core within each kind. A final discussion of the relation of the katēgorēma to the case-ptōsis unfolds into an analysis of the ptōsis as nothing other than forever dependent on a katēgorēma, with no status in itself, but ensconced in a web of relations between concepts in our mind, the hybrid case-bearer (tunchanon), and the external object. Problem cases such as the conundrum of the perishing lekton and the parakatēgorēma are examined in the light of previous claims.

The results of development and study of the microflame diffusive firing of fuels outside the flameholder system with alternating whirl swirlers, located between them, are shown. The principles of a rational organization of the nearby trace structure outside the bluff-bodies within a limited turbulent flow are stated. The dome geometric parameters effect on the firing stability, heat emission completeness, temperature and concentration patterns of the flame, complex heat exchange process, toxic component emission and other characteristics of combustion chamber are discussed.

Social networks are an everyday tool for users to express their opinions and preferences. User digital trace are a valuable source of data for understanding the problems of the population in various spheres of life. The focus of this work is aimed at developing an algorithm for automatic classification of text content «VKontakte» according to the selected categories of quality of life. This social network is one of the most popular platforms among users. The categories of quality of life are «education», «healthcare», «security», «social security», «work of authorities», «ecology» and «accessibility of goods and services». The paper uses static and contextualized models for creating vector representations and effective algorithms for classifying Russian-language content of social networks (LSTM, BiLSTM, GRU, RuBERT). We prefer the RuBERT -tiny model due to the best completeness indicators in most categories.

This paper presents preliminary results of two 3D conformal cueing styles with variable visual time horizons. Due to restrictions from the pandemic, pilot-in-the-loop (PIL) testing was restricted to the author, who is a former military aviator. The experiment involved flying an approach to touchdown on the deck of an Arleigh Burke Flight IIA class Destroyer. Terminal landing constraints (location, heading, and impact velocity) and enroute cross track and vertical error were used as measures of pilot performance. The use of 3D cueing expanded the operational envelope to include zero-illumination conditions. For completeness, the study requires additional subjects, specifically those that have prior shipboard landing experience, as COVID-19 safety precautions paused in-person simulator testing early in the testing period.

We investigate the problem of verifying the strategic properties of multi-agent systems equipped with machine learning-based perception units. We introduce a novel model of agents comprising both a perception system implemented via feed-forward neural networks and an action selection mechanism implemented via traditional control logic. We define the verification problem for these systems against a bounded fragment of alternating-time temporal logic. We translate the verification problem on bounded traces into the feasibility problem of mixed integer linear programs and show the soundness and completeness of the translation. We show that the lower bound of the verification problem is PSPACE and the upper bound is coNEXPTIME. We present a tool implementing the compilation and evaluate the experimental results obtained on a complex scenario of multiple aircraft operating a recently proposed prototype for air-traffic collision avoidance.

With the advent of research on fast path packet processing, traffic generator tools witnessed many entrants with features ranging from supporting list of protocols, analyzing network traffic to measuring throughput and latency of packets. While approaching towards feature completeness, the tools are becoming more complex every time making it difficult to port, manage, and use. BBGen with a sole focus on simplicity complements other traffic generators instead of trying to replace them. BB-Gen is a simple CLI-based packet crafter to generate packet flows formatted as PCAP files. The tool supports different standard protocols and creates the necessary traces for network function configuration and testing. It allows creating PCAPs for worst and best case scenarios with all unique flows or following flow distributions published elsewhere. In this demo, we feature BB-Gen as used by the MACSAD development team to test P4-based software switch pipelines.