“…Considering that the road information at the driver’s focus is the most clear and those away from the focus blurred, a new kind controller based on the fractional calculus, i.e., a focus preview controller is designed to provide the steering input for the tractor to make it travel along the desired path. …”
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“…In this paper, the severe acute respiratory syndrome coronavirus (SARS-CoV-2) or COVID-19 is researched by employing mathematical analysis under modern calculus. In this context, the dynamical behavior of an arbitrary order p and fractal dimensional q problem of COVID-19 under Atangana Bleanu Capute (ABC) operator for the three cities, namely, Santos, Campinas, and Sao Paulo of Brazil are investigated as a case-study. …”
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“…This paper presents a more pragmatic mathematical model for multifractured horizontal wells in naturally fractured reservoirs based on the fractal system, the theory of permeability modulus, and the time-fractional calculus correspondingly as an extension of the classic trilinear flow model. …”
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“…In this paper, using some known definitions of fractional derivatives, which is a relatively new definition in differential calculus, and then by employing them in a mathematical framework, the effects of these tools in a better description of the epidemic of a SARS-CoV-2 infection is investigated. …”
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“…The aim of this paper is to develop the calculus of hesitant fuzzy numbers (HFNs), have been recently proposed as the newest extension of hesitant fuzzy sets. …”
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“…Transabdominal ultrasound revealed left nephrolithiasis with moderate hydronephrosis, vesical calculus and double J (DJ) stent in situ. Patient was diagnosed as acute pyelonephritis and started on intravenous antibiotics. …”
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“…However, the financial calculus is bleak with the costs of “safely managed”’ or “basic” water services in rural Africa beyond current government budgets and donor funds. …”
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“…RESULTS: The mean plaque index, gingival index, calculus index, pocket probing depth, and clinical attachment loss scores in the premenopausal group were less as compared to postmenopausal group. …”
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“…BACKGROUND: Pit and fissures on the young permanent tooth are ideal in harbouring dental plaque and calculus. Hence it is important to provide a preventive agent to protect against dental caries. …”
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“…Analytical techniques of carbon, nitrogen, and sulfur stable isotope ratio analysis on hair, teeth, muscle and bones as well as associated animal and plant remains, radiocarbon dating and starch grain analysis of dental calculus are presented to visualize never before seen aspects of Yingpan Man’s life, including: environment, breastfeeding and weaning practices, adolescent and adult diet, disease and nutritional status as well as season of death. …”
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“…Although such optimal control problems can be formulated within the framework of variational calculus, their solution for complex systems is often analytically and computationally intractable. …”
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“…Nowadays, numerous designs of COVID-19 are investigated using different operators of fractional calculus. Most of these mathematical models describe only one type of COVID-19 (infected and asymptomatic). …”
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“…Self-reported oral health care needs (tooth stain, calculus, gingivitis, loss of fillings) were related to frequent snacking and poor oral hygiene (p < 0.05). …”
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“…A surface plasmon resonance imaging (SPRI) system was used to detect and record the association and dissociation microprocess of S. mutans with sucrose/dextran solutions of various concentrations, and the calculus model was adopted to treat the data. At the location of S. mutans, a unique ‘comet-tail’ SPRI signal was observed. …”
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“…The ‘bigness’ of the pandemic, and its evidencing, is situated in social and affective practices, in which uncertainty and dis-ease are inseparable from calculus. This materialises modelling in policy as an ‘uncomfortable science’. …”
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“…To evaluate the dual-network model, a modeling index system is designed, including proposing a total evaluation index calculus for the dual-network model, and a variable importance index from the original data. …”
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“…Given the school mathematics curriculum’s later emphasis on calculus—the mathematics of change in continuous contexts—it is surprising that the curriculum seems to neglect recursive thinking after the early grades. …”
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“…We propose initializing the nodes of the wireless sensor network, combining the global information exchange with the subgroup, determining the range of the detectable area of the wireless sensor, and solving the calculus method for the irregular area to get the optimal network nodes so that the nodes of the wireless sensor network can be redeployed. …”
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“…RESULTS: Multivariate logistic regression analysis showed that body mass index (BMI) > 25 kg/m(2), white blood cell (WBC) > 10 × 10(9)/l, calculus incarcerated in neck of gallbladder, frequency of acute cholecystitis in the last 2 months > 4 times, thickness of gallbladder wall > 0.5 cm, and maximum diameter of gallstone > 2 cm were independent risk factors for DC. …”
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“…Finally, we use the replica sigma model framework to rederive the Weingarten calculus, which is a method of evaluating integrals of polynomials of matrix elements with respect to the Haar measure over compact groups and has many applications in the study of quantum circuits. …”
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