Polynomial mathematical model of the one-gap klystron cavity

2016 ◽  
Author(s):  
S. D. Volkova ◽  
V. A. Tsarev
Keyword(s):  
Mathematical Model ◽  
The One

scholarly journals Spreading of chemical substance after its accidental spillage onto the soil surface under unsaturated conditions and variable porosity

2019 ◽  
pp. 41-44
Author(s):  
Olena Kozhushko ◽  
Petro Martyniuk
Keyword(s):  
Mathematical Model ◽  
Soil Moisture ◽  
Soil Profile ◽  
Moisture Transport ◽  
Soil Surface ◽  
Chemical Substance ◽  
High Concentration ◽  
Solute Transfer ◽  
Variable Porosity ◽  
The One

In this paper we study a mathematical model of soil moisture transport with variable porosity. The problem is set for the case of highly concentrated solute spilled onto soil surface. We investigate the way solute transfer, adsorption of contaminant by soil particles and variable porosity influence infiltration of solute into the soil profile. For that purpose, two models are used: a classical one and the one with consideration of mentioned factors. By comparing the results of both models, we established that high concentration of solute causes moisture transport to transpire more slowly, and the pollutant to remain on the soil surface for longer time. Numerical results indicate that porosity can vary considerably under the conditions of intensive contamination with salts.

Possibility of Evaluating a Depth of Defects as a Hole in a Composite Dielectric Sample by the Parameters of Electric Response to Pulse Mechanical Excitation

2018 ◽  
Vol 781 ◽  
pp. 155-158 ◽  
Author(s):  
Petr Khorsov ◽  
Anatoly Surzhikov ◽  
Vladimir Surzhikov ◽  
Roman Laas
Keyword(s):  
Mathematical Model ◽  
Electromagnetic Response ◽  
Electric Response ◽  
One Dimensional ◽  
Response Parameter ◽  
Dielectric Sample ◽  
Receiver System ◽  
Mechanoelectrical Transformations ◽  
Spurious Component ◽  
The One

The applicability of the method mechanoelectrical transformations (MET) to determine the depth of the macrodefects location in the sample on parameters of the electromagnetic response is evaluated. As the response parameter it was used the phase characteristic of the signal analytical representation.On the one-dimensional mathematical model it was shown the possibility to detect phase response changes when reflected from defect acoustic wave is mixed with the signal spurious component generated by a distributed MET sources. Experimental verification of mathematical model on a sample of concrete was conducted. It has been shown that the sensitivity of the method MET to evaluation of the macrodefect locate depth depends on the wavelength of the excitation pulse and the area of the macrodefect border closest to the emitter-receiver system.

Location of a multinational corporation in a cluster

2016 ◽  
Vol 24 (2) ◽  
pp. 144-167 ◽  
Author(s):  
Dorota Leszczyńska ◽  
Erick Pruchnicki
Keyword(s):  
Mathematical Model ◽  
Knowledge Transfer ◽  
Tacit Knowledge ◽  
Mathematical Expression ◽  
Decision Criterion ◽  
Specific Knowledge ◽  
Content Type ◽  
The One ◽  
Effective Transfer ◽  
The Impact

Purpose A multinational company (MNC) looking to locate within a cluster is mainly interested in gaining access to scarce and highly valuable tacit knowledge. The transfer of such resources first requires sharing a certain degree of architectural and specific knowledge. This paper aims to examine the transfer of systemic technological expertise (specific tacit knowledge) that is incorporated into organisational practices (architectural knowledge). To quantify the level of knowledge transfer involved, the present study defines the architectural distance between the MNC and the cluster. Design/methodology/approach The mathematical expression of acquisition performance is inferred from a conceptual study that formulates hypotheses regarding the impact of these variables on knowledge transfer. The MNC chooses its location in such a way as to maximise this performance. Findings Applying a mathematical model to knowledge transfer between two of the MNC units helps to determine if the locally acquired knowledge could benefit other units of the MNC. Research limitations/implications The present study defines the architectural distance between the MNC and the cluster. This architectural distance is defined by a vector composed of social, organisational, cultural, institutional, technological and geographic distances between the new acquisition and its network of local partners, on the one hand, and the MNC, on the other. Knowledge transfer also depends on the business players’ trust and motivation. Further research through a quantitative study would be useful to improve the links between the proposed mathematical model and the efficiency of an MNC’s location within a cluster. Practical implications The solution to the optimisation problem allows to put forward a simple decision criterion to assist a manager who has to face the problem of an optimal location choice. Originality/value First, this study contributes to a better understanding of how knowledge transfer effects may interact with cluster effects, while explaining a subsidiary’s performance with regard to location. Second, it provides an interpretation of the concept of knowledge embeddedness by showing that the effective transfer of architectural and specific knowledge involves the prior sharing of a certain amount of this knowledge.

scholarly journals A MULTIDIMENSIONAL SUBDIFFUSION MODEL WITH CHEMOTAXIS

2019 ◽  
Vol 11 (2) ◽  
pp. 1
Author(s):  
Bambang Hendriya Guswanto
Keyword(s):  
Mathematical Model ◽  
Probability Measure ◽  
Random Walks ◽  
Unit Ball ◽  
Dimensional Case ◽  
One Dimensional ◽  
The One ◽  
The Mathematical Model

The mathematical model for subdiffusion process with chemotaxis proposed by Langlands and Henry [1] for the one-dimensional case is extended to the multi-dimensional case. The model is derived from random walks process using a probability measure on a n-multidimensional unit ball $S^{n-1}$.

scholarly journals EVALUATION OF POROUS CONCRETE RESISTANCE TO FREEZING BY DIFFERENT METHODS/AKYTOJO BETONO ATSPARUMO ŠALČIUI, TAIKANT SKIRTINGAS BANDYMŲ METODIKAS, VERTINIMAS

2001 ◽  
Vol 7 (5) ◽  
pp. 397-404
Author(s):  
Romualdas Mačiulaitis ◽  
Dzigita Nagrockienė
Keyword(s):  
Mathematical Model ◽  
Linear Relation ◽  
Frost Resistance ◽  
Specimen Surface ◽  
Freezing And Thawing ◽  
Porous Concrete ◽  
High Service ◽  
Freezing Method ◽  
The Difference ◽  
The One

The article presents results of the comparative investigations into porous concrete specimens resistance to freezing (one-sided and volumetric). It has been determined that there is not any linear relation between the results obtained when calculating both the beginning of specimens disintegration (R=0,2161753) and their disintegration end (R=0,2621269). Besides, the data are very scattered and any other mathematical model did not allow to find a stronger non-linear relation. In addition, the destruction of porous concrete was analysed by measuring the change of relative linear deformations of porous concrete specimens under service resistance to freezing. It has been found that positive linear deformations are characteristic of low service frost resistance porous concrete specimens both during the one-sided freezing and thawing. When these deformations after some cycles reach (1,2–1,7%), the specimen surface disintegrates. Negative linear deformations are characteristic of specimens of high service frost resistance during one-sided freezing and thawing. The specimens of average service frost resistance (successfully resisted 25–30 cycles) can be characterised by the development of positive relative deformations during freezing and thawing. The processes have been investigated in detail taking place in identical specimens when they are investigated under different heat draining methods (one-sided and volumetric). The difference of humidity migration and localisation in respect of the freezing method has been disclosed. Some conclusions have been deduced from the investigation.

scholarly journals Prediction of Al2O3 leaching recovery in the Bayer process using statistical multilinear regresion analysis

2010 ◽  
Vol 46 (2) ◽  
pp. 161-169 ◽  
Author(s):  
I. Djuric ◽  
P. Djordjevic ◽  
I. Mihajlovic ◽  
Dj. Nikolic ◽  
Z. Zivkovic
Keyword(s):  
Mathematical Model ◽  
Bayer Process ◽  
Alumina Production ◽  
Statistical Reliability ◽  
Leaching Process ◽  
Input Parameters ◽  
Statistical Sample ◽  
One Year ◽  
The One ◽  
The Mathematical Model

This paper presents the results of defining the mathematical model which describes the dependence of leaching degree of Al2O3 in bauxite from the most influential input parameters in industrial conditions of conducting the leaching process in the Bayer technology of alumina production. Mathematical model is defined using the stepwise MLRA method, with R2 = 0.764 and significant statistical reliability - VIF<2 and p<0.05, on the one-year statistical sample. Validation of the acquired model was performed using the data from the following year, collected from the process conducted under industrial conditions, rendering the same statistical reliability, with R2 = 0.759.

scholarly journals Aluminum bar cutting optimization for door and window manufacturing

DYNA ◽  
2020 ◽  
Vol 87 (212) ◽  
pp. 155-162
Author(s):  
Ageu Araujo Machado ◽  
João Carlos Zayatz ◽  
Marcos Meurer Da Silva ◽  
Guilherme Melluzzi Neto ◽  
Gislaine Camila Lapasini Leal ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Real Data ◽  
Raw Material ◽  
Process Efficiency ◽  
Computational Time ◽  
Advantages And Disadvantages ◽  
Key Factor ◽  
Material Procurement ◽  
The One ◽  
The Mathematical Model

This study aims to optimize the one-dimensional cutting process of aluminum bars for the production of aluminum doors. Reducing the use of bars and the amount of material that becomes scrap is a key factor in process efficiency, reducing the need for raw material procurement. The mathematical model used considers the size of the bar, the number and size of cuts, the size of the leftovers that can be used and the size of the leftovers that are considered scrap. Based on real data from a company in the aluminum frame segment, the mathematical model was used to simulate three different scenarios. Three different objective functions were used in the simulations, and the results obtained in each scenario were described in order to indicate the advantages and disadvantages of using each objective function. For the instance sizes studied, the model is able to obtain optimal solutions with little computational time.

A mathematical model of the rotor profile of the single-screw compressor

2002 ◽  
Vol 216 (3) ◽  
pp. 343-351 ◽  
Author(s):  
S-C Yang
Keyword(s):  
Mathematical Model ◽  
Parameter Family ◽  
Cutting Edge ◽  
Screw Compressor ◽  
Single Screw ◽  
Rotor Profile ◽  
The Family ◽  
Screw Rotor ◽  
The One ◽  
Screw Rotors

This paper presents a method for determining the basic profile of a single-screw compressor including a gate rotor and a screw rotor. The inverse envelope concept for determining the cutting-edge curve of the gate rotor is presented. Based on this concept, the required cutter for machining the screw rotor can be obtained by an envelope of the one-parameter family of obtained screw rotors. The obtained screw rotor is an envelope of the family of gate rotor surfaces. Let the obtained envelope of the one-parameter family of gate rotor surfaces become the generating surface. The inverse envelope can be used to obtain the envelope of the family of generating surfaces. Then, the profile of the gate rotor with the cutting-edge curve can be easily obtained. The proposed method shows that the gate rotor and the screw rotor are engaged along the contact line at every instant. This is essential to reduce the effect of leakage on compressor performance. In this paper, a mathematical model of the meshing principle of the screw rotor with the gate rotor is established. As an example, the single-screw compressor for a compressor ratio of 11:6 is determined with the aid of the proposed mathematical model. Results from these mathematical models should have applications in the design of single-screw compressors.

Mathematical model of the clutch of the Volkswagen Polo Sedan as an object of diagnosis

2021 ◽  
Vol 13 (1) ◽  
pp. 23-32
Author(s):  
Dmytro Borysiuk ◽  
Keyword(s):  
Mathematical Model ◽  
Block Diagram ◽  
Technical Condition ◽  
Mechanical Transmission ◽  
Traffic Lights ◽  
Operating Rules ◽  
External Feature ◽  
The One ◽  
Urban Conditions ◽  
Strength And Durability

When designing a car, designers must find a compromise between the dynamism and economy of the car, on the one hand, and reliability and safety - on the other. The first problem is solved mainly by reducing the weight of the car by optimizing the design and reducing strength reserves, and the second - by increasing the strength and durability of structural elements. Reliability of units of cars is the maximum at work on steady modes that confirms experience of their operation. It is known that in the conditions of country routes on good roads reliability of cars is essentially higher, than at operation within the city. In cities, unstable modes of operation of car units are caused, first of all, by frequent stops and subsequent accelerations due to the presence of traffic lights, pedestrian crossings, railway crossings, traffic jams, steep ascents and descents on car routes, etc. All this necessitates frequent braking, shifting gears and moving. These circumstances lead to an increase in the dynamic load of the vehicle units and, as a consequence, to the intensification of the processes of wear of the friction pairs of the clutch discs, gears and cardan gears, and so on. All the factors that reduce the reliability of car units in urban conditions are particularly evident in the example of buses and taxis with a manual transmission. According to some data, the share of failures of mechanical transmission units of such cars is 19 ... 23% of all failures. During intensive operation of the car, various clutch malfunctions can occur. There are malfunctions of the actual clutch and malfunction of the clutch drive. Coupling defects occur not only due to intensive operation, but also due to violations of operating rules. Currently, clutch failures are mainly diagnosed by external signs. However, one external feature may correspond to several clutch failures. Thus, the process of determining the technical condition of the clutch of vehicles is an urgent scientific and technical task. A mathematical model of the clutch of the Volkswagen Polo Sedan as an object of diagnosis are presents in the article. A matrix for diagnosing the clutch of a Volkswagen Polo Sedan and a block diagram of its synthesis have been built.

scholarly journals A Mathematical Model of Communication with Reputational Concerns

2016 ◽  
Vol 2016 ◽  
pp. 1-6 ◽  
Author(s):  
Ce Huang ◽  
Yuanyuan Zhang ◽  
Chong Lai
Keyword(s):  
Mathematical Model ◽  
Decision Maker ◽  
Decision Problem ◽  
The One ◽  
Reputational Concerns

We investigate a mathematical model where an expert advises a decision maker for two periods. The decision maker is initially unsure about whether the expert is biased or not. After consulting the expert on the decision problem of period one, the decision maker updates belief about the expert’s bias and consults the expert on the problem of period two. We find that more information is delivered in the model’s first period than in the one-period situation of communication.

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