On Local Linear Approximations to Diffusion Processes by X. L. Duan, Z. M. Qian, W. A. Zheng

“…In general, the maximum likelihood functions for diffusion models are not available, hence it is difficult to derive the exact maximum likelihood estimator (MLE). There are many different approaches proposed by various authors over the past years, see, for example, the excellent books and Kutoyants (2004), Liptser and Shiryayev (1977), Kushner and Dupuis (2002), and Prakasa Rao (1999), and also the recent works by Aït-Sahalia (1999), (2004), (2002), and so forth. …”
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Properties of the wormhole model in de Rham–Gabadadze–Tolley like massive gravity with specific matter density by Piyali Bhar

“…We obtain the field equations for exact WH solutions by selecting a static and spherically symmetric metric for the background geometry. …”
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Understanding and utilizing the inner bonds of process tensors by Moritz Cygorek, Erik M. Gauger

“…Process tensor matrix product operators (PT-MPOs) enable numerically exact simulations for an unprecedentedly broad range of open quantum systems. …”
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Gastroesophageal reflux disease at children: epidemiology, diagnostic criteria, prognosis by E. M. Mukhametova, S. I. Erdes

“…Above mentioned data testifies the absence of clear diagnostic criteria of GERD at children. For more exact diagnostics of GERD at pediatric age complex investigation of the child is required.…”
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Numerical solution of second order ordinary differential equations by Ayokunle Tadema

“…To validate the accuracy of the numerical solutions, we compare the approximate solutions with the exact solutions and find that they align well. We also observe that initializing the fourth-order ADM method with the fourth-order Runge-Kutta method and using the MS method for approximation yields superior accuracy compared to starting the ADM with the Euler method. …”
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Potentials of intraesophageal рН-impedance measurement in GERD diagnostics by V. O. Kaybysheva, O. A. Storonova, A. S. Trukhmanov, V. T. Ivashkin

“…Application of esophageal рН-impedance measurement allows to consider this method as the most exact and modern in diagnostics of GERD.…”
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Effects of Transverse Deformation on Free Vibration of 2D Curved Beams with General Restraints by Xueren Wang, Xuhong Miao, Di Jia, Shengyao Gao

“…In particular, the transverse beam domain is discretized by a set of sampling surfaces with unequal spaces, and the displacement components in beam domain coinciding with these surfaces are mathematically described as a set of modified Fourier series in which certain supplementary functions are included to remove all the relevant discontinuities with the displacements and their derivatives at the boundaries to form a mathematically complete set and guarantee the results convergent to the exact solutions. The final results are numerically solved using a modified variational principle by means of Lagrange multipliers and penalty method for the sake of arbitrary boundary conditions. …”
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Electric Vehicle Charging Station Location Decision Analysis for a Two-Stage Optimization Model Based on Shapley Function by Lifeng Yang, Zhongwei Cheng, Baojie Zhang, Fengyun Ma

“…Firstly, we convert the exact number into interval judgment matrix, introduce Shapley fuzzy measure to calculate the weight of factors, and use the two-stage optimization model to further optimize the weight. …”
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Investigation of glenoid fossa roof thickness in patients with and without TMJ disorders in a Turkish Subpopulation by Oguzhan Altun, Elif Sobi, Numan Dedeoglu

“…The obtained data were compared between TMD group and non-TMD group, between DBC group and non-DBC group and between genders. Chi-square, fisher exact, and Mann-Whitney U tests were used to compare the data. …”
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Regular black holes from pure gravity by Pablo Bueno, Pablo A. Cano, Robie A. Hennigar

“…The theories we consider have two key properties that ensure the results are general and robust: (1) they provide a basis for (vacuum) gravitational effective field theory in five and higher-dimensions, (2) for each value of the mass, they have a unique static spherically symmetric solution. We present several exact solutions of the theories that include the Hayward black hole and metrics similar to the Bardeen and Dymnikova ones. …”
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Modifications to the Method of Modal Strain Energy for Improved Estimates of Loss Factors for Damped Structures by Peter J. Torvik, Brian Runyon

“…Several methods for reducing this error through modifications to MSE have been suggested. In this work, the exact loss factor for a simple mechanical system is found. …”
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Hamilton Connectivity of Convex Polytopes with Applications to Their Detour Index by Sakander Hayat, Asad Khan, Suliman Khan, Jia-Bao Liu

“…By using Hamilton connectivity of these families of graphs, we compute exact analytical formulas of their detour index.…”
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The occupational roles of hospitalized people due to Acquired Immune Deficiency Syndrome by Natália Augusto Nunes Gil, Marysia Mara Rodrigues do Prado De Carlo

“…Quantitative data were collected by means of the application of the protocol “List of Identification of Occupational Roles”, validated in Brazil, and analyzed by Fisher Exact Test. Interviews were carried out with 20% of the persons of the group of study, for collection of qualitative data, and analyzed according to the content analysis method. …”
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An Ensemble Feature Selection Approach-Based Machine Learning Classifiers for Prediction of COVID-19 Disease by Md. Jakir Hossen, Thirumalaimuthu Thirumalaiappan Ramanathan, Abdullah Al Mamun

“…This deadly disease has taken a toll on the life of the entire human race, and an exact cure for it is still not developed. Thus, the control and cure of this disease mainly depend on restricting its transmission rate through early detection. …”
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Modern Approaches in the Morphological Diagnosis of Inflammatory Bowel Diseases by A. S. Tertychnyy, Kh. M. Akhriyeva, E. A. Kogan, O. V. Zayratyants, L. S. Selivanova

“…The presented stages of the morphological study of biopsy specimens in patients with IBD and the exact characteristics of the detected changes will help to increase the diagnostic value of the study of ileo- and colonobiopsies, as well as improve mutual understanding between gastroenterologists and pathologists and, as a result of interaction between specialists, will increase the accuracy of the diagnosis.…”
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HCCI Intelligent Rapid Modeling by Artificial Neural Network and Genetic Algorithm by AbdoulAhad Validi, Jyh-Yuan Chen, Akbar Ghafourian

“…The model can rapidly predict the combustion probability, thermochemistry properties, and exact timing of the Start of Combustion (SOC). A realization function is developed on the basis of the Sandia National Laboratory chemical kinetics model, and GRI3.0 methane chemical mechanism. …”
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A Novel Rerouting Planning Model for the Terminal Arrival Routes under the Influence of Convective Weather by Ming Zhang, Xianglu Kong, Kai Liu, Xiangyu Li

“…Traditional air traffic rerouting approaches do not combine convective weather information using radar image recognition with controller workload, additional fuel consumption, delay loss, time cost, and route length at terminal airspace in tactical ATFM phase for exact rerouting decision. In accordance with the safety and economic principles of the route network in terminal airspace and in consideration of the changes in the speed and height of aircraft in terminal airspace, a multiobjective rerouting planning model is established in this study for terminal airspace under convective weather conditions in tactical air traffic flow management phase. …”
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Self-Assembly of Particles on a Curved Mesh by Gabriele Costa, Santi Prestipino

“…We introduce a lattice-gas model on the vertices of a polyhedron called a pentakis icosidodecahedron and draw its exact phase diagram by the Wang–Landau method. Using different values for the couplings between first-, second-, and third-neighbor particles, we explore various interaction patterns for the model, ranging from softly repulsive to Lennard-Jones-like and SALR. …”
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A Ship Domain-Based Method of Determining Action Distances for Evasive Manoeuvres in Stand-On Situations by Rafal Szlapczynski, Przemyslaw Krata, Joanna Szlapczynska

“…However, until recently there was no method, using ship’s domain to determine exact moment when a particular collision avoidance manoeuvre can still be successfully performed. …”
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Some complexity results on semipaired domination in graphs by Vikash Tripathi, Kusum, Arti Pandey

“…On the positive side, we propose a polynomial-time exact algorithm for the Min-Semi-PD problem in AT-free graphs, but the complexity of the algorithm is quite high. …”
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