scholarly journals Mathematical model of environmental waters purification

2019 ◽  
Vol 135 ◽  
pp. 01056
Author(s):  
Yuri Skolubovich ◽  
Alexey Skolubovich ◽  
Dmitry Volkov ◽  
Tamara Krasnova ◽  
Elena Gogina
Keyword(s):  
Mathematical Model ◽  
Mathematical Analysis ◽  
Stochastic Approach ◽  
Mathematical Tool ◽  
Environmental Waters ◽  
Mass Service ◽  
Coagulation Process ◽  
Service Theory

This article describes the use of the stochastic approach, in particular, mass service theory and the development of its methods, adapted directly to the coagulation process as a mathematical tool. The coagulation process will be concerned as a) supplying water to the mixer, b) processing it with reagents (coagulants), c) settling for the mathematical analysis of water clarification effectiveness.

Investigations of properties of programs by means of the extended algorithmic logic I

1977 ◽  
Vol 1 (1) ◽  
pp. 93-119
Author(s):  
Lech Banachowski
Keyword(s):  
Mathematical Model ◽  
Mathematical Tool ◽  
Methods Of Analysis ◽  
Semantic Correctness ◽  
Algorithmic Logic ◽  
Correctness Of Programs

The present paper contains investigations concerning the semantic correctness of programs. Presented methods of analysis of programs are appropriate for every domain of computation. Algorithmic logic extended by classical quantifiers is a fundamental mathematical tool used in the paper. Interrelations between properties of programs and properties of descriptions of programs are studied (a description of a program is a mathematical model of the notion of a documentation of a program).

scholarly journals Engineering Mathematical Analysis Method for Productivity Rate in Linear Arrangement Serial Structure Automated Flow Assembly Line

2015 ◽  
Vol 2015 ◽  
pp. 1-10
Author(s):  
Tan Chan Sin ◽  
Ryspek Usubamatov ◽  
M. A. Fairuz ◽  
Mohd Fidzwan B. Md. Amin Hamzas ◽  
Low Kin Wai
Keyword(s):  
Mathematical Model ◽  
Failure Rate ◽  
Mathematical Analysis ◽  
Assembly Line ◽  
Flow Line ◽  
Analysis Method ◽  
Machining Time ◽  
Linear Arrangement ◽  
Final Assembly ◽  
Productivity Rate

Productivity rate (Q) or production rate is one of the important indicator criteria for industrial engineer to improve the system and finish good output in production or assembly line. Mathematical and statistical analysis method is required to be applied for productivity rate in industry visual overviews of the failure factors and further improvement within the production line especially for automated flow line since it is complicated. Mathematical model of productivity rate in linear arrangement serial structure automated flow line with different failure rate and bottleneck machining time parameters becomes the basic model for this productivity analysis. This paper presents the engineering mathematical analysis method which is applied in an automotive company which possesses automated flow assembly line in final assembly line to produce motorcycle in Malaysia. DCAS engineering and mathematical analysis method that consists of four stages known as data collection, calculation and comparison, analysis, and sustainable improvement is used to analyze productivity in automated flow assembly line based on particular mathematical model. Variety of failure rate that causes loss of productivity and bottleneck machining time is shown specifically in mathematic figure and presents the sustainable solution for productivity improvement for this final assembly automated flow line.

scholarly journals Stochastic and deterministic mathematical model of cholera disease dynamics with direct transmission

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Getachew Teshome Tilahun ◽  
Woldegebriel Assefa Woldegerima ◽  
Aychew Wondifraw
Keyword(s):  
Mathematical Model ◽  
Stochastic Model ◽  
Deterministic Model ◽  
Equilibrium Points ◽  
Invariant Solution ◽  
Stochastic Approach ◽  
Disease Dynamics ◽  
Treatment Rate ◽  
Invariant Region ◽  
Contact Transmission

AbstractIn this paper we develop a stochastic mathematical model of cholera disease dynamics by considering direct contact transmission pathway. The model considers four compartments, namely susceptible humans, infectious humans, treated humans, and recovered humans. Firstly, we develop a deterministic mathematical model of cholera. Since the deterministic model does not consider the randomness process or environmental factors, we converted it to a stochastic model. Then, for both types of models, the qualitative behaviors, such as the invariant region, the existence of a positive invariant solution, the two equilibrium points (disease-free and endemic equilibrium), and their stabilities (local as well as global stability) of the model are studied. Moreover, the basic reproduction numbers are obtained for both models and compared. From the comparison, we obtained that the basic reproduction number of the stochastic model is much smaller than that of the deterministic one, which means that the stochastic approach is more realistic. Finally, we performed sensitivity analysis and numerical simulations. The numerical simulation results show that reducing contact rate, improving treatment rate, and environmental sanitation are the most crucial activities to eradicate cholera disease from the community.

scholarly journals Mathematical simulation of BF hot blast temperature influence on variations of silicon content in hot metal

2018 ◽  
pp. 25-31
Author(s):  
P. P. Semenyuk ◽  
R. E. Velikotsky ◽  
N. A. Rumyantseva
Keyword(s):  
Mathematical Model ◽  
Mathematical Analysis ◽  
Silicon Content ◽  
Statistical Data ◽  
Hot Metal ◽  
Blast Temperature ◽  
Mathematical And Computer Simulation ◽  
Hot Blast ◽  
Operation Results ◽  
Steel Works

The problem of influence of sinter production technological factors on silicon content and particularly variations of Si (ΔSi) in hot metal is actual for the up-to-date metallurgy.Traditional methods and plans of studies of BF heat running at present are considered less precise and effective comparing with up-to-date methods of mathematical and computer simulation, since the last provide an ability to forecast and optimize numerous parameters of BF process.A complex mathematical analysis of dependence between hot blast temperature and ΔSi by application of the universal mathematical model, specially elaborated and adapted for industrial conditions of sinter plant operation of Alchevsk steel-works was the task of the study.Influence of hot blast temperature (X-Factory) on minimization of ΔSi (Y-Factory) studied. Complex mathematical analysis was carried out using statistical data collected during 65 months of Alchevsk steel-works blast furnace of 3000 m3 operation. Results of calculation of influence of hot blast temperature on ΔSi by application of the universal mathematical model presented. Minimization of ΔSi when optimizing hot blast temperature reached. Accuracy of calculation using the elaborated model was more 99% of actual operational statistic.

scholarly journals Mathematical Analysis of an Autoimmune Diseases Model: Kinetic Approach

Mathematics ◽  
2019 ◽  
Vol 7 (11) ◽  
pp. 1024 ◽  
Author(s):  
Mikhail Kolev
Keyword(s):  
Mathematical Model ◽  
Autoimmune Disease ◽  
Kinetic Theory ◽  
Autoimmune Diseases ◽  
Functional State ◽  
Mathematical Analysis ◽  
Numerical Results ◽  
Kinetic Approach ◽  
Basic Information ◽  
View Point

A new mathematical model of a general autoimmune disease is presented. Basic information about autoimmune diseases is given and illustrated with examples. The model is developed by using ideas from the kinetic theory describing individuals expressing certain functions. The modeled problem is formulated by ordinary and partial equations involving a variable for a functional state. Numerical results are presented and discussed from a medical view point.

scholarly journals Preparation of samples with equally spaced concentrations through mixing

1996 ◽  
Vol 42 (7) ◽  
pp. 1074-1078 ◽  
Author(s):  
J E Vaks
Keyword(s):  
Mathematical Model ◽  
Computer Simulation ◽  
Model Selection ◽  
Mathematical Analysis ◽  
Clinical Chemistry ◽  
Human Sample ◽  
Selection For ◽  
Interference Studies ◽  
Nonlinear Calibration

Abstract Linearity, interference evaluations of the performance of clinical chemistry systems, mathematical model selection for nonlinear calibration, and other assessments often involve several human sample pools with equally spaced analyte concentrations. Sequential mixing of equal volumes, first of the low and high pools to produce the middle pool, then of the low and middle pools to produce the mid-low pool, and of the high and middle pools to produce the mid-high pool, is recommended in the NCCLS EP7-P guideline for interference studies. Proportional mixing of the low and high pools to produce all of the required pool concentrations is recommended in the NCCLS EP6-P guideline for linearity studies. Mathematical analysis and computer simulation show that the sequential mixing is much more accurate and precise than the proportional mixing. Therefore, we recommend sequential mixing for clinical chemistry application.

Music genomics: Determining musical similarities with seriation algorithms

2015 ◽  
Vol 07 (04) ◽  
pp. 1550041
Author(s):  
Nakhila Mistry ◽  
Crista Arangala
Keyword(s):  
Mathematical Analysis ◽  
Mathematical Tool ◽  
Musical Structure ◽  
Musical Genre ◽  
Popular Songs

Music plays a prominent role in society and companies have even started studying its aspects for commercial purposes. It is only natural to ask what characteristics make certain songs appealing. While much research has been conducted on the mathematical principles of sound, there has been less focus on analyzing the structure of popular songs from a mathematical perspective. One mathematical tool that researchers have used to study musical structure is seriation, ordering. This paper applies several types of seriation algorithms to conduct a mathematical analysis of the structural qualities of several musical pieces. This paper focuses on 10 popular artists and their musical influences. The artists chosen for this research are linked because of the influences they cite, musical genre, and the popularity of their music. Results show that an artist’s songs have a higher quantitatively measured connection with the artists they cite as influences rather than the artists who they never mention as musical influences.

Dehydration of Methylbutenes to Isoprene. Part 3: Comparative Mathematical Analysis of Methylbutene Dehydrogenation in Axial and Radial Reactors

2018 ◽  
Vol 18 (6) ◽  
pp. 55-60
Author(s):  
B. Sh. Gilmurakhmanov ◽  
P. V. Urtyakov ◽  
M. V. Nazarov ◽  
O. S. Roshchina ◽  
A. A. Lamberov
Keyword(s):  
Mathematical Model ◽  
Comparative Analysis ◽  
Mathematical Analysis ◽  
Contact Time ◽  
Heat Energy ◽  
Energetic Efficiency ◽  
Target Product ◽  
Radial Reactor ◽  
Fixed Catalyst ◽  
Best Parameters

A mathematical model of the process of dehydrogenation of methylbutenes to isoprene was used for comparative analysis of energetic efficiency of two versions of modernization: (1) a system of consecutively connected two axial reactors with a fixed catalyst beds, and (2) adiabatic radial reactor with fixed catalyst bed. The purpose was to determine the dependence of yield (Y) and selectivity (S) to the target product on the heat energyQsupplied with vapor. In the two-reactor system, the best parameters (Y= 53.1 % andS= 82.9 %) were achieved atQ= 9.0 MJ/kg and contact time t = 0.8 s. At the same time, in the radial reactor the best performance (Y= 42.0 % andS= 86.1 %) was observed atQ= 7.8 MJ/kg andt= 0.8 s. Hence, the radial reactor consumes less heat energy (by 13.0 %) than the radial reactor for methylbutene dehydrogenation.

scholarly journals Theoretical foundations of hypertrace-transform: scanning techniques, mathematical apparatus and experimental verification

2018 ◽  
Vol 42 (2) ◽  
pp. 273-282 ◽  
Author(s):  
N. G. Fedotov ◽  
A. A. Syemov ◽  
A. V. Moiseev
Keyword(s):  
Mathematical Model ◽  
Image Recognition ◽  
Experimental Verification ◽  
Automatic Generation ◽  
Analytic Structure ◽  
Mathematical Tool ◽  
Mathematical Apparatus ◽  
3D Image ◽  
3D Images ◽  
Scanning Technique

We consistently describe the theoretical basis of a new geometric method of analysis and recognition of three-dimensional (3D) images. The description of a scanning technique for forming a hypertrace transform and its mathematical model are given. This method, unlike the existing ones, enables 3D images to be analyzed directly from their 3D shape, without first simplifying them or constructing plane projections. We substantiate the selection of a particular scanning tool and the need to construct a reference spherical grid to address the problem of the rotational invariance of the 3D image recognition. A mathematical apparatus of the stochastic realization of the scanning technique based on stochastic geometry and functional analysis is developed. We introduce a new mathematical tool for 3D image analysis – a hypertrex matrix that allows spatial objects of complex shape and structure to be recognized by constructing a single mathematical model of the 3D image. We describe a new type of 3D image features that have an analytic structure – hypertryplet features, whose analytical structure makes possible an automatic generation of a large number of features with predetermined properties. Results of the experimental verification are presented, demonstrating the accurate calculation of features for 3D image recognition and proving the adequacy of the developed mathematical apparatus.

scholarly journals Mathematical analysis of the value of constructive additives in the protective suit of the kinologist

2021 ◽  
pp. 101-106
Author(s):  
N. S. Mokeeva ◽  
T. O. Bunkova
Keyword(s):  
Mathematical Model ◽  
Mathematical Analysis ◽  
Rational Design ◽  
Full Protection

The problems of designing a suit for full protection of a cynologist-figurant are considered. A mathematical model is proposed for optimizing the value of constructive increments for predicting and searching for a rational design of PPE for a trainer-dog handler with high ergonomic properties.

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