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Part 1 Probability and Random Variables 1 The Meaning of Probability 2 The Axioms of Probability 3 Repeated Trials 4 The Concept of a Random Variable 5 Functions of One Random Variable 6 Two Random Variables 7 Sequences ...

Abstract Lava tubes formed during the 2021 Tajogaite eruption on La Palma (Canary Islands, Spain) provide a rare opportunity to investigate the earliest stages of microbial colonization in a newly created subterranean vo...

Abstract In this study, a range of novel optical soliton solutions to the nonlinear conformable Schrödinger equation influenced by multiplicative white noise is presented. By employing the unified method, several types ...

In volleyball games, we define a rally as the succession of events observed since the ball is served until one of the two teams on the court scores the point. In this process, athletes evolve in response to physical and ...

Abstract Microorganisms play key roles in nutrient cycling and soil remediation in saline-alkaline ecosystems. However, how their assembly rules and interaction networks change during natural succession remains unclear. ...

The paper presents the analysis of the spatial and spatio‑temporal tendencies and dependence in matters related to the situation in the labour market of the Kujawsko‑Pomorskie Voivodeship across municipalities in the...

A comprehensive structural, petrological, and geophysical study of the 385 ± 2 Ma Devonian El Hornito Pluton (EHP) in the Sierra Grande de San Luis, Argentina, is presented. We establish that the EHP results from the in...

We develop an age-structured hydrodynamic (HD) theory that describes the collective behavior of N≫1 anomalously diffusing particles under stochastic renewal resetting. The theory treats the age of a particle—the time...

Abstract Ice shocks associated with the springtime thermal expansion of ice represent a manifestation of fracture processes in a complex nonlinear medium. In this study, we investigate temporal changes in statistical cha...

Foundation models (FMs) represent a significant evolution in artificial intelligence (AI), impacting diverse fields. Within radiology, this evolution offers greater adaptability, multimodal integration, and improved gene...

Networks have recently become ubiquitous in many scientific fields. In criminology, social network analysis (SNA) provides a potent tool for analysis of organized crime. This paper introduces basic network terms and meas...

Mathematics and computer science play a pivotal role in modern biology. Dynamical models based on differential equations are particularly adapted to describe dynamic behaviors of many biological processes. However, tradi...

In current conditions, budget security is one of the essential components of financial security. The budget is the leading financial plan of the state and reflects most of the economic processes in the country; it also r...

Traditional econometric models assume a constant one-period forecast variance. To generalize this implausible assumption, a new class of stochastic processes called autoregressive conditional heteroscedastic (ARCH) proce...

The parameterized extinction data of Fitzpatrick and Massa (1986, 1988) for the ultraviolet and various sources for the optical and near-infrared are used to derive a meaningful average extinction law over the 3.5 micron...

Materias / palabras clave: applied mathematics, modeling, mathematical analysis, stochastic analysis, stochastic processes, probability; Science: Mathematics: Probabilities. Mathematical statistics; Technology: Technology (General): Industrial eng...

Materias / palabras clave: statistics, probability, statistical inference, stochastic processes, applied statistics, data science; Social Sciences: Statistics; Science: Mathematics: Probabilities. Mathematical statistics

Materias / palabras clave: ement and control, manufacturing planning, production engineering, quality management, stochastic processes, operations management; Technology: Manufactures: Production management. Operations management