Method Of Cuts Research Articles

From Corridor to Network Macroscopic Fundamental Diagrams: A Semi-Analytical Approximation Approach

The design of network-wide traffic management schemes or transport policies for urban areas requires computationally efficient traffic models. The macroscopic fundamental diagram (MFD) is a promising tool for such applications. Unfortunately, empirical MFDs are not always available, and semi-analytical estimation methods require a reduction of the network to a corridor that introduces substantial inaccuracies. We propose a semi-analytical methodology to estimate the MFD for realistic urban networks without the information loss induced by the reduction of networks to corridors. The methodology is based on the method of cuts but applies to networks with irregular topologies, accounts for different spatial demand patterns, and determines the upper bound of network flow. Therefore, we consider both flow conservation and the effects of spillbacks at the network level. Our framework decomposes a given network into a set of corridors, creates a hypernetwork, including the impacts of source terms, and then treats the dependencies across corridors (e.g., because of turning flows and spillbacks). Based on this hypernetwork, we derive the free-flow and capacity branch of the MFD. The congested branch is estimated by considering gridlock characteristics and utilizing recent advancements in MFD research. We showcase the applicability of the proposed methodology in a case study with a realistic setting based on the Sioux Falls network. We then compare the results to the original method of cuts and a ground truth derived from the cell transmission model. This comparison reveals that our method is more than five times more accurate than the state of the art in estimating the network-wide capacity and jam density. Moreover, the results clearly indicate the MFD’s dependency on spatial demand patterns. Compared with simulation-based MFD estimation approaches, the potential of the proposed framework lies in the modeling flexibility, explanatory value, and reduced computational cost. Funding: G. Tilg acknowledges support from the German Federal Ministry for Digital and Transport (BMDV) for the funding of the project LSS (capacity increase of urban networks). S. F. A. Batista and M. Menéndez acknowledge support from the NYUAD Center for Interacting Urban Networks (CITIES), funded by Tamkeen under the NYUAD Research Institute Award [CG001]. L. Ambühl acknowledges support from the ETH Research Grant [ETH-27 16-1] under the project name SPEED. L. Leclercq acknowledges funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program [Grant 646592 - MAGnUMproject]. Supplemental Material: The e-companion is available at https://doi.org/10.1287/trsc.2022.0402 .

Evaluation of the good quality and parasitic purity of fish from lake Ladoga

Freshwater fish is one of the most valuable resources of inland waters. Raw fish is a perishable product, therefore, the assessment of product freshness is the most important indicator of its safety. In addition, in relation to freshwater fish, the indicator of parasitic purity is of particular importance, since fish is an intermediate host of pathogens of parasitic diseases transmitted to humans.The studies were carried out in the summerautumn period. The objects of research were samples of chilled freshly caught fish from the southern part of Lake Ladoga. Veterinary and sanitary examination of fish was carried out in accordance with the Veterinary Rules for the appointment and conduct of veterinary and sanitary examination of fish, aquatic invertebrates and fish products from them intended for processing and sale by organoleptic, physicochemical and microscopic methods. Parasitological examination included external examination, parasitological dissection of the fish, examination of muscle tissue by the method of parallel cuts and compressor. As a result, the studied samples were recognized as fresh in terms of organoleptic, physicochemical and microscopic parameters. An external examination of the eyes revealed damage to the lens of the eye by metacercariae of trematodes Diplostomum sp., gill filaments of roach were affected by monogenetic flukes Dactylogyrus sp. Pigmented areas of localization of Posthodiplostomum cuticola metacercariae, the so-called «black-spotted disease», were noted on the surface of the body of fish of the cyprinid family.During parasitological autopsy and examination of the abdominal cavity, the surface of the internal organs of the bream, the larva of Ligula intestinalis was found, and the plerocercoids of Diphyllobothrium latum were found in the caviar of two individuals of the pike. As a result of a compressor study of the muscle tissue of pike, crucian carp, roach, rudd, perch, and bream, Paracoenogonimus ovatus metacercariae were identified. Of the parasites found in the samples of the studied fish, D. latum is of epidemiological significance, the rest of the pathogens are not dangerous to humans, the sanitary assessment of the fish should be given on the basis of the presentation of the product.

Non-Conventional Cuts in Batch Distillation to Brazilian Spirits (cachaça) Production: A Computational Simulation Approach

In this work, an algorithm was developed to determine different possibilities of distillation cuts to support productivity and improve the final quality of cachaça, a Brazilian spirit beverage. The distillation process was simulated using the Aspen Plus® software, considering a wide range of fermented musts compositions available in the literature obtained by fermentation with different yeast strains. Twenty-four simulations were carried out considering eight compounds as follows: water and ethanol (major compounds); acetic acid, acetaldehyde, ethyl acetate, 1-propanol, isobutanol, and isoamyl alcohol (minor compounds). The calculations considered a long-time process, i.e., until almost all the ethanol in the fermented must was distilled. The algorithm enabled the identification of countless distilling cuts, resulting in products with different alcoholic grades and process yields. One fermented must became viable to produce cachaça after the suggested non-traditional method of cuts proposed in this work. Furthermore, the non-traditional distilling cut provided a productivity gain of more than 50%. Finally, the ratio of acetaldehyde and ethanol concentration was the key parameter to determine whether the fermented musts could provide products meeting cachaça’s legislation.

Parameter estimation of the macroscopic fundamental diagram: A maximum likelihood approach

This paper extends the Stochastic Method of Cuts (SMoC) to approximate the Macroscopic Fundamental Diagram (MFD) of urban networks and uses Maximum Likelihood Estimation (MLE) method to estimate the model parameters based on empirical data from a corridor and 30 cities around the world. For the corridor case, the estimated values are in good agreement with the measured values of the parameters. For the network datasets, the results indicate that the method yields satisfactory parameter estimates and graphical fits for roughly 50% of the studied networks, where estimations fall within the expected range of the parameter values. The satisfactory estimates are mostly for the datasets which (i) cover a relatively wider range of densities and (ii) the average flow values at different densities are approximately normally distributed similar to the probability density function of the SMoC. The estimated parameter values are compared to the real or expected values and any discrepancies and their potential causes are discussed in depth to identify the challenges in the MFD estimation both analytically and empirically. In particular, we find that the most important issues needing further investigation are: (i) the distribution of loop detectors within the links, (ii) the distribution of loop detectors across the network, and (iii) the treatment of unsignalized intersections and their impact on the block length.

Extracting Einstein from the loop-level double-copy

The naive double-copy of (multi) loop amplitudes involving massive matter coupled to gauge theories will generically produce amplitudes in a gravitational theory that contains additional contributions from propagating antisymmetric tensor and dilaton states even at tree-level. We present a graph-based approach that combines the method of maximal cuts with double-copy construction to offer a systematic framework to isolate the pure Einstein-Hilbert gravitational contributions through loop level. Indeed this allows for a bootstrap of pure-gravitational results from the double-copy of massive scalar-QCD. We apply this to construct the novel result of the D-dimensional one-loop five-point QFT integrand relevant in the classical limit to generating observables associated with the radiative effects of massive black-hole scattering via pure Einstein-Hilbert gravity.

Anatomy of the Human Cervical Spine and Spinal Cord at 20–22 Weeks of Intrauterine Development

Early and timely diagnosis of the spinal column and spinal cord pathologies, their intrauterine and postnatal correction require detailed knowledge of the anatomy and topography of the cervical spine in the fetus. The complex interactions of the cervical spine with the corresponding parts of the spinal cord and adjacent structures require detailed study during the embryonic period of ontogenesis.The aim of the study was to investigate the morphometric and topographic anatomical fetal features of the cervical spine and adjacent structures at 20–22 weeks of the intrauterine development.Material and methods. This study was performed on the sectional material from human fetuses, 20–22 weeks of development (20 human fetuses of both sexes), obtained from the fetal collection of the Department of Human Anatomy, Orenburg State Medical University. A standard set of morphological methods were applied in the study – macromicroscopic preparation, Pirogov method of cuts in three mutually perpendicular planes, production of serial histotopograms with Van Gieson staining, photography, morphometry.Results. It was found that during the studied periods of prenatal ontogenesis, the length of the cervical spine averaged 17.5±1.5 mm. The transverse size of the vertebral body in fetuses of 20–22 weeks of development throughout the cervical spine is of greater importance than the anteroposterior. The transverse and anteroposterior dimensions of the vertebral foramen gradually decrease in the craniocaudal direction. It was also demonstrated that it is necessary to remove the dura mater in order to obtain reliable dimensional characteristics of the spinal cord.Conclusion. Thus, the data obtained on the anatomy and topography of the spinal column and the spinal cord at the 20th – 22nd weeks of the human ontogenesis can serve as the morphological basis of fetal surgery.

Analytical Method to Approximate the Impact of Turning on the Macroscopic Fundamental Diagram

Network macroscopic fundamental diagrams (MFDs) have recently been shown to exist in real-world urban traffic networks. The existence of an MFD facilitates the modeling of urban traffic network dynamics at a regional level, which can be used to identify and refine large-scale network-wide control strategies. To be useful, MFD-based modeling frameworks require an estimate of the functional form of a network’s MFD. Analytical methods have been proposed to estimate a network’s MFD by abstracting the network as a single ring-road or corridor and modeling the flow–density relationship on that simplified element. However, these existing methods cannot account for the impact of turning traffic, as only a single corridor is considered. This paper proposes a method to estimate a network’s MFD when vehicles are allowed to turn into or out of a corridor. A two-ring abstraction is first used to analyze how turning will affect vehicle travel in a more general network, and then the model is further approximated using a single ring-road or corridor. This approximation is useful as it facilitates the application of existing variational theory-based methods (the stochastic method of cuts) to estimate the flow–density relationship on the corridor, while accounting for the stochastic nature of turning. Results of the approximation compared with a more realistic simulation that includes features that cannot be captured using variational theory—such as internal origins and destinations—suggest that this approximation works to estimate a network’s MFD when turning traffic is present.

Evaluation of analytical approximation methods for the macroscopic fundamental diagram

The Macroscopic Fundamental Diagram (MFD) describes the relation of average network flow, density and speed in urban networks. It can be estimated based on empirical or simulation data, or approximated analytically. Two main analytical approximation methods to derive the MFD for arterial roads and urban networks exist at the moment. These are the method of cuts (MoC) and related approaches, as well as the stochastic approximation (SA). This paper systematically evaluates these methods including their most recent advancements for the case of an urban arterial MFD. Both approaches are evaluated based on a traffic data set for a segment of an arterial in the city of Munich, Germany. This data set includes loop detector and signal data for a typical working day. It is found that the deterministic MoC finds a more accurate upper bound for the MFD for the studied case. The estimation error of the stochastic method is about three times higher than the one of the deterministic method. However, the SA outperforms the MoC in approximating the free-flow branch of the MFD. The analysis of the discrepancies between the empirical and the analytical MFDs includes an investigation of the measurement bias and an in-depth sensitivity study of signal control and public transport operation related input parameters. This study is conducted as a Monte-Carlo-Simulation based on a Latin Hypercube sampling. Interestingly, it is found that applying the MoC for a high number of feasible green-to-cycle ratios predicts the empirical MFD well. Overall, it is concluded that the availability of signal data can improve the analytical approximation of the MFD even for a highly inhomogeneous arterial.

INFREQUENT MASCULINE NAMES IN THE ODESSA REGION

The article dwells upon linguistic interpretation of one of the main classes of anthroponyms – personal names that function in common usage of the Ukrainian in Odessa.The purpose of the suggested research is to analyze the infrequently used masculine names from the point of view of their public evaluation, not real names are studied, but those that people like. This is a new approach to the study of anthroponyms. The factors that influence on the attitude to the names of modern Ukrainians of different ages are analyzed. To achieve this goal, we solve the following main tasks: 1) to identify the quantitative and qualitative composition of modern anthroponymic preferences of respondents of different ages; 2) to analyze the names in the social aspect as a category of sociohistorical and cultural, as well as to carry out their statistic-linguistic analysis.The object of the research is modern anthroponimistic preferences.The subject of study is infrequent masculine names as a part of modern anthroponymic preferences of Ukrainians.The source of factual material was the results of the sociolinguistic practice of students of the philological faculty of Odessa I. I. Mechnikov National University. To solve the problems posed in the research, complex methodological techniques are used: 1) descriptive in combination with the widely used quantity-qualitative interpretation of the material; 2) the method of chronological cuts. The basis of the work is a survey.As a result of the study of the questionnaires, it was found out that the respondents collectively named 200 masculine names that we identified as being of little use, among which the old church and calendar names are dominated and their folk-colloquial variants; new anthroponyms with expressively foreign coloring are presented to a lesser extent. Thus, the formation of modern anthroponimistic preferences is influenced by tradition and fashion. Such results make it possible to predict the future dynamics of real use of names.

Studying the motor sphere of preschool children with mental development delay

Studying the motor sphere of preschool children with mental development delay

PLEROCERCOIDS OF CESTODES OF THE DIPHYLLOBOTHRIUM GENUS OF SALMONIDS FROM THE LOWER AND MIDDLE OB

Since 2009, the Tyumen branch of the FGBNU “VNIRO” (“Gosrybtsentr”) has been carrying out the program “Monitoring of infection of commercial fish of the Ob-Irtysh basin with helminths dangerous to human health and carnivorous animals”. As part of the implementation of this program, in 2016–2018, a study of salmon-shaped (whitefish and pike) was conducted for the presence of plerocercoids of the genus Diphyllobothrium, which are characteristic of fish in the Ob-Irtysh basin. Freshly caught fish was taken for the study, which ensured the presence of live larvae and the differentiation of the desired plerocercoids. In this case, the method of parallel cuts of the muscles, a visual examination of the body cavity, organs located in it, and microscopy of compressed fat from the intestine was used. Two types of plerocercoids difillobotriid were found in whitefish (D. dendriticum and D. ditremum). The main carrier of these larvae is peled, other species of whitefish, although they become infected, but are secondary intermediate hosts. Comparing the infection of peled with plerocercoids, diphyllobothriide, firstly, it is necessary to point out the simultaneous parasitization of capsulated D. dendriticum and D. ditremum on the intestine (esophagus and stomach). Secondly, the prevalence of D. ditremum over D. dendriticum in terms of the extensiveness of infection. The third type difillobotriid D. latum (wide tapeworm) parasitizes only predatory fish, including pike.

Formation of adhesive properties of surfaces of multicomponent materials

AnnotationAn experiment was conducted to determine the change in the adhesive strength of PF-115 enamel depending on the energy properties of the surfaces of various metals to assess the adhesive strength of paint-and-lacquer coatings. The adhesive strength was evaluated using the method of lattice cuts. Samples of brass CUZN39PBL, aluminium alloy 2024T35, C45, X10CrNiTi18-10 were taken as the test object.

The Morphometric Characteristic of the Acetabulum and Some Structures of the Hip Joint in 18–22 Weeks of Fetus Development

The purposeof the study is to obtain new quantitative morphometric data on the anatomy of the acetabulum, femoral head and femoral head ligament in 18–22 weeks of fetus development.Materials and methods.The object of the research were 30 human fetuses 20–22 weeks of development, obtained in artificial abortion according to the social reasons. We used a set of morphological techniques: macromicroscopic preparation, a method of cuts according to N. I. Pirogov, preparing of serial histotopograms, morphometry and a method of statistical analysis. All samples were divided into three age groups: 18–19 weeks, 20–21 weeks and 22 week.Results. New quantitative morphometric data of the main parameters of the acetabulum, femoral head and its ligament in human fetuses with the age interval of 2 weeks were obtained. Based on the analysis of the data, it was found that at the period from 18 to 22 weeks of development, the vertical diameter of the acetabulum is larger than the horizontal one; the depth of the acetabulum changes with less intensity than the diameters. A wide range of absolute values of the parameters studied, as well as the difference in the degree of ossification of the acetabulum, suggest the presence of individual features of development. Changes in the diameters of the femoral head correlate with changes in the acetabulum itself. Significant asymmetry and sexual dimorphism of these structures have not been identified.Conclusion. It was revealed that in the period of 18–22 weeks of development, the formation of the anatomy of the acetabulum is actively underway. The dynamics of change of quantitative parameters of the hip joint structures has the character of a uniform increase over the period studied. In addition, the results of the work suggest the presence of individual features of the anatomy of the acetabulum of the fetus.

Five-loop four-point integrand of N=8 supergravity as a generalized double copy

We use the recently developed generalized double-copy procedure to construct an integrand for the five-loop four-point amplitude of N=8 supergravity. This construction starts from a naive double copy of the previously computed corresponding amplitude of N=4 super-Yang-Mills theory. This is then systematically modified by adding contact terms generated in the context of the method of maximal unitarity cuts. For the simpler generalized cuts, whose corresponding contact terms tend to be the most complicated, we derive a set of formulas relating the contact contributions to the violations of the dual Jacobi identities in the relevant gauge-theory amplitudes. For more complex generalized unitarity cuts, which tend to have simpler contact terms associated with them, we use the method of maximal cuts more directly. The five-loop four-point integrand is a crucial ingredient towards future studies of ultraviolet properties of N=8 supergravity at five loops and beyond. We also present a nontrivial check of the consistency of the integrand, based on modern approaches for integrating over the loop momenta in the ultraviolet region.

Impact of buses on the macroscopic fundamental diagram of homogeneous arterial corridors

ABSTRACTThis paper proposes a modification of the method of cuts to estimate the effect of bus operations on the macroscopic fundamental diagram of long arterial corridors with uniform signal parameters and block lengths. It is found that the impact of buses can be adequately captured by the theory of moving bottlenecks using only the bus average free-flow speed. This speed considers the effects of signals and stops but not traffic conditions and therefore can be calculated endogenously. A formulation is developed to approximate the bus average free-flow speed as a function of bus operational parameters. We also found that buses produce an additional capacity restriction that is similar to the ‘short block’ on networks without buses and that can severely reduce corridor capacity. The proposed method is validated with numerical approximations of the corresponding kinematic wave problem.

Traffic flow on signalized streets

This paper considers a signalized street of uniform width and blocks of various lengths. Its signals are pretimed in an arbitrary pattern, and traffic on it behaves as per the kinematic-wave/variational theory with a triangular fundamental diagram. It is shown that the long run average flow on the street when the number of cars on the street (i.e. the street’s density) is held constant is given by the solution of a linear program (LP) with a finite number of variables and constraints. This defines a point on the street’s macroscopic fundamental diagram. For the homogeneous special case where the block lengths and signal timings are identical, all the LP constraints but one are redundant and the result has a closed form. In this case, the LP recipe matches and simplifies the so-called “method of cuts”. This establishes that the method of cuts is exact for homogeneous problems. However, in the more realistic inhomogeneous case the difference between the two methods can be arbitrarily large.The paper uses the LP method to obtain the macroscopic fundamental diagrams arising under four different traffic coordination schemes for streets with four different block length configurations. It is found that the best scheme depends on the prevailing density. Curiously, the popular scheme in which all the traffic green phases are started synchronously wins only in rare circumstances. Its performance is particularly underwhelming when the street’s blocks are long. The paper also presents density-aware numerical methods to optimize the signal offsets for 1-way and 2-way streets. For 1-way streets operated with a common cycle the method reduces to a simple graphical construction . In this case the resulting flow matches the flow that would arise if all of the street’s intersections except one with the shortest green phase had been eliminated.

An Efficient Weakly Supervised Approach for Texture Segmentation via Graph Cuts

AbstractWe propose an approach for texture segmentation based on weak supervised learning. The weak supervision implies that the user marks only a single small patch for each class in the input image. These patches are used for training. We employ the method of graph cuts for the segmentation task. Our work demonstrates that even under such weak training, texture segmentation can be achieved efficiently and with good accuracy via graph cuts. Moreover, our approach uses a simpler feature representation than that in similar contemporary segmentation approaches. We also provide a brief discussion indicating the good performance of our approach. We validate our method on various standard texture mosaics and also on segmentation of natural images with large texture variations.

THE CRITERIA OF OPTIMIZATION OF MODES OF INHIBITION OF OTREPEV COMPOSITION IN CONDITIONS OF ACTION OF RANDOM FACTORS

Purpose. The article is devoted to improved methods of optimizing managed to cuts settlement group, unlike the existing ones into account the influence of random factors and can be used for operational management of rolling cuts the hump. Thus the proposed criterion optimization inhibition cuts composition in terms of the deviation of actual parameters cuts from the calculated values and the uncertainty of realization brake positions given mode of inhibition. Methods. The study used simulation process rolling cuts the hump. To optimize braking mode cuts used iterative method. Results. Taking into account the influence of random factors that act on cuts the process rolling when braking cuts optimization allows to increase the precision speed control between cuts. Scientific novelty. The method of optimization cuts controlled braking in the settlement group, unlike the existing ones into account the influence of random factors and can be used for operational management of rolling cuts the hump. The practical significance. The research results can be used in the development of software feasibility study designs and technical support marshalling humps in systems design, as well as automated control systems switchyard

Deleuze's Third Synthesis of Time

Deleuze's theory of time set out in Difference and Repetition is a complex structure of three different syntheses of time – the passive synthesis of the living present, the passive synthesis of the pure past and the static synthesis of the future. This article focuses on Deleuze's third synthesis of time, which seems to be the most obscure part of his tripartite theory, as Deleuze mixes different theoretical concepts drawn from philosophy, Greek drama theory and mathematics. Of central importance is the notion of the cut, which is constitutive of the third synthesis of time defined as an a priori ordered temporal series separated unequally into a before and an after. This article argues that Deleuze develops his ordinal definition of time with recourse to Kant's definition of time as pure and empty form, Hölderlin's notion of ‘caesura’ drawn from his ‘Remarks on Oedipus’ (1803) and Dedekind's method of cuts as developed in his pioneering essay ‘Continuity and Irrational Numbers’ (1872). Deleuze then ties together the conceptions of the Kantian empty form of time and the Nietzschean eternal return, both of which are essentially related to a fractured I or dissolved self. This article aims to assemble the different heterogeneous elements that Deleuze picks up on and to show how the third synthesis of time emerges from this differential multiplicity.

Five-Loop Four-Point Amplitude ofN=4Super-Yang-Mills Theory

Using the method of maximal cuts, we construct the complete D-dimensional integrand of the five-loop four-point amplitude of N=4 super-Yang-Mills theory, including nonplanar contributions. In the critical dimension where this amplitude becomes ultraviolet divergent, we present a compact explicit expression for the nonvanishing ultraviolet divergence in terms of three vacuum integrals. This construction provides a crucial step towards obtaining the corresponding amplitude of N=8 supergravity required to resolve the general ultraviolet behavior of supergravity theories.