Математика список научных статей
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Устойчивость выработки в блочных средах
При решении вопроса об устойчивости выработки часто сталкиваются с ситуацией, когда разрушение происходит только за счет движения цельных блоков, а не их разрушения, из-за прочности породы и горного давления. В таком случае возникает вопрос о том, способна ли форма блока (и выработанного...
2024 / А Я. Канель-белов, В О. КироваScopusВАКRSCI -
Геометрия блочных сред
Для изучения блочного массива важно уметь определять относительное число блоков, удовлетворяющих данному свойству. Так, при разработке месторождения облицовочного камня возникает необходимость по данным о трещиноватости определить распределение блоков по объемам. Будем полагать (если не оговорено...
2024 / А Я. Канель-белов, В О. КироваScopusВАКRSCI -
Асимптотическая формула в проблеме Варинга с почти пропорциональными слагаемыми
При 𝑛 ⩾ 3 получена асимптотическая формула для количества представлений достаточно большого натурального 𝑁 в виде суммы 𝑟 = 2𝑛 + 1 слагаемых, каждое из которых является 𝑛-ой степенью натуральных чисел 𝑥𝑖, 𝑖 = 1, 𝑟, удовлетворяющих условиям |𝑥𝑛𝑖 𝜇𝑖𝑁| ⩽ 𝐻, 𝐻 ⩾ 𝑁1-𝜃(𝑛,𝑟)+𝜀, 𝜃(𝑛, 𝑟) = 2 (𝑟 + 1)(𝑛2 𝑛) , ...
2024 / З Х. Рахмонов, Ф З. РахмоновScopusВАКRSCI -
Параметрическая идентификация холодопроизводительности азотной и гелиевой ступеней двухступенчатого криостата
Предложен метод оценки холодопроизводительности азотно-гелиевого криостата замкнутого типа. Метод основан на поиске экстремума расчетных значений холодопроизводительности каждой ступени в каждом временном блоке при минимизации среднеквадратичного функционала невязки между ожидаемой и расчетной...
2024 / Борщев Никита ОлеговичScopusВАКRSCI -
Комплексная оценка аналитических и численных моделей эфемерид планет Солнечной системы на примере околоземных КА
Представлен разработанный алгоритм использования высокоточных численных моделей эфемерид. Приведено качественное и количественное сравнение аналитических и численных высокоточных моделей эфемерид планет между собой: модели осредненных элементов NASA, модели Ньюкома, модели Мееса, моделей серии...
2023 / Топорков Алексей Геннадьевич, Козлов Егор АндреевичВАК -
ЗАМЕЧАНИЯ ОБ ИМПЛИКАЦИИ ФАРРЕЛЛА
В статье предлагается анализ трехзначной импликации, предложенной Робертом Фарреллом в работе «Material Implication, Confirmation, and Counterfactuals» (1979). Посредством предлагаемого анализа установлено, что, во-первых, импликация Фаррелла обладает всеми свойствами, достаточными, чтобы отнести...
2024 / Беликов Александр Александрович -
ALGORITHMS FOR APPROXIMATING A FUNCTION BASED ON INACCURATE OBSERVATIONS
This paper is devoted to the approximation of a function by a trigonometric polynomial based on its inaccurate values at selected points. Two methods of observation are considered. The first method is to make observations at points evenly distributed on the segment where the function is specified....
2024 / G.Sh. Tsitsiashvili, M.A. Osipova -
TOPP-LEONE EXPONENTIATED GOMPERTZ INVERSE RAYLEIGH DISTRIBUTION: PROPERTIES AND APPLICATIONS
This paper focused on deriving a new lifetime distribution having five parameters by compounding the Gompertz inverse Rayleigh model and the Topp-Leone exponentiated-G family of distributions. The new model is called Topp-Leone exponentiated Gompertz inverse Rayleigh (TLEGoIRa) distribution. The...
2024 / Sule Omeiza Bashiru, Alaa Abdulrahman Khalaf, Alhaji Modu Isa -
A PROBABILITY MODEL FOR SURVIVAL ANALYSIS OF CANCER PATIENTS
It has been observed by statistician that to find a suitable model for the survival analysis of cancer patients is really challenging. The main reasons for that is the highly positively skewed nature of datasets. During recent decades several statistician tried to propose one parameter,...
2024 / Mousumi Ray, Rama Shanker -
ON A DISCRETE TIME SHOCK MODEL IN CRITICAL SITUATION
In this paper, we study a discrete time shock model which is defined based on the length of the time between successive shocks. For a system that is exposed to a sequence of random shocks over time under this model, if the interarrival time between two successive shocks is equal to a prefixed...
2024 / Reza Farhadian, Habib Jafari -
RELIABILITY SAMPLING PLAN FOR GENERALIZED INVERTED EXPONENTIALLY DISTRIBUTED UNDER PROGRESSIVE TYPE-II CENSORED DATA
This article aims to explore a sampling strategy designed to assess the reliability of products that exhibit lifetimes following a GIED. Considered sampling approach has been specially constructed for a Type-II progressive censoring scheme, which includes binomial removals as part of its...
2024 / S. Singh, A. Kaushik -
ROLE OF AGEING METRICS TO ANALYSE THE SURVIVAL DATA OF TONGUE CANCER PATIENTS
The paper vividly describes the non-parametric estimation of basic quantities for right censored data of times to death for patients with tongue cancer. Here we compare patients with two different sets of DNA profile using several parameters like reliability function, cumulative hazard rate...
2024 / B. Elina, Pulak Swain, Satya Kr. Misra, Subarna Bhattacharjee -
SINE-TOPP-LEONE EXPONENTIATED G FAMILY OF DISTRIBUTIONS: PROPERTIES, SURVIVAL REGRESSION AND APPLICATION
In this research article, we have introduced a new class of continuous probability distributions known as the Sine Topp-Leone Exponentiated-G family of distributions. This newly proposed family exhibits a higher degree of flexibility compared to some of the established distribution families. The...
2024 / A.M. Isa, S.I. Doguwa, B.B. Alhaji, H.G. Dikko -
RELIABILITY ANALYSIS OF AN ANTI-DRONE SYSTEM BY CONSIDERING RANDOM ENVIRONMENTAL FACTORS
In today’s security landscape, the proliferation of unauthorized drones in restricted airspace has emerged as a significant threat. These drones pose various risks, from potential surveillance and espionage to more sinister possibilities such as physical attacks. Consequently, the development of...
2024 / Dharmaraja Selvamuthua, Harshita Badiyasara, Smrati Tripathia, Priyanka Kalitab, Raina Rajc -
STRATEGIES FOR REPLACEMENT IN WORKFORCE SCHEDULING RELIABILITY MODELS
It is a typical occurrence to replace some industrial equipment or components, such as electronic chips, bulbs, etc. It deals with the ideas of dependability theory, in which the likelihood of an equipment malfunctioning instantly is calculated assuming that it has operated normally for a given...
2024 / Iyappan. M, Balaji. M., R. Saranraj, G. Sathya Priyanka -
E-BAYESIAN ESTIMATION FOR BATHTUB-SHAPED LIFETIME DISTRIBUTION BASED ON UPPER RECORD VALUES
In this research paper, we presents the expected Bayesian (E-Bayesian) estimation of bathtub-shaped lifetime (BSL) distribution for scale parameter based on upper record values (URV) using a conjugate prior distribution. Also, we are considered different prior distributions for the E-Bayesian...
2024 / Sana, M. Faizan -
PYTHON IMPLEMENTATION OF FUZZY LOGIC FOR ZERO-INFLATED POISSON SINGLE SAMPLING PLANS
Acceptance sampling is used in Statistical Quality Control (SQC) to conduct lot quality evaluations through sample inspections which involve probability theory and fuzzy sets. It aims to optimize quality, costs, and productivity, frequently applying linguistic variables when accurate parameter...
2024 / Kavithanjali S., Sheik Abdullah A. -
ANALYSIS OF NON-MARKOVIAN BATCH ARRIVAL RETRIAL QUEUE WITH PRIORITY SERVICES, IMMEDIATE FEEDBACK, PUSH OUT, DIFFERENTIATED BREAKDOWNS, DELAYED REPAIR, RANDOMIZED VACATION
Priority and ordinary customers arrive according to Poisson processes, and their service time based on the general distribution. The server constantly offers a single service for both priority and ordinary customers. We compute the Laplace transforms of the time-dependent probabilities of system...
2024 / G. Ayyappan, S. Nithya -
INFERENCE ON THE INVERSE POWER BURR-HATKE DISTRIBUTION UNDER TYPE II CENSORING
There are many real-life situations, where data require probability distribution function which have decreasing or upside-down bathtub (UBT) shaped failure rate function. The inverse power burr hatke distribution consists both decreasing and UBT shaped failure rate functions. Here, we address the...
2024 / Pavitra Kumari, Vinay Kumar -
RELIABILITY ESTIMATION OF STRESS-STRENGTH MODEL USING FUZZY DISTORTION FUNCTION UNDER UNCERTAINTY IN ENVIRONMENTAL FACTORS
In the reliability estimation of stress-strength models, external factors such as temperature, humidity, etc. may influence the distribution of stress and strength random variables. In traditional reliability analysis, these external factors are accounted for by introducing a real-valued distortion ...
2024 / K. Sruthi, M. Kumar