Supersaturation of solutions in crystallisers with the well stirred suspension

1980 ◽  
Vol 45 (7) ◽  
pp. 1920-1927 ◽  
Author(s):  
Jaroslav Nývlt

Relations were derived comparing the steady supersaturation in the continuous MSMPR and/or bath crystallisers with the stirred suspension having the maximum supersaturation corresponding to the boundary of metastable region at the given conditions. The derived relations include only the quantities used for the system constant BN from the corresponding crystallisation experiments. By use of supersaturation in the crystalliser obtained by the described method it is possible to evaluate the kinetic constants of nucleation and growth. However, it is not possible to expect a high accuracy of the data so obtained.

2016 ◽  
Vol 6 (1) ◽  
Author(s):  
Rustam Rafikovich Mussabayev ◽  
Maksat N. Kalimoldayev ◽  
Yedilkhan N. Amirgaliyev ◽  
Timur R. Mussabayev

Abstract This work considers one of the approaches to the solution of the task of discrete speech signal automatic segmentation. The aim of this work is to construct such an algorithm which should meet the following requirements: segmentation of a signal into acoustically homogeneous segments, high accuracy and segmentation speed, unambiguity and reproducibility of segmentation results, lack of necessity of preliminary training with the use of a special set consisting of manually segmented signals. Development of the algorithm which corresponds to the given requirements was conditioned by the necessity of formation of automatically segmented speech databases that have a large volume. One of the new approaches to the solution of this task is viewed in this article. For this purpose we use the new type of informative features named TAC-coefficients (Throat-Acoustic Correlation coefficients) which provide sufficient segmentation accuracy and effi- ciency.


Axioms ◽  
2020 ◽  
Vol 9 (3) ◽  
pp. 88
Author(s):  
David Levin

In some applications, one is interested in reconstructing a function f from its Fourier series coefficients. The problem is that the Fourier series is slowly convergent if the function is non-periodic, or is non-smooth. In this paper, we suggest a method for deriving high order approximation to f using a Padé-like method. Namely, we do this by fitting some Fourier coefficients of the approximant to the given Fourier coefficients of f. Given the Fourier series coefficients of a function on a rectangular domain in Rd, assuming the function is piecewise smooth, we approximate the function by piecewise high order spline functions. First, the singularity structure of the function is identified. For example in the 2D case, we find high accuracy approximation to the curves separating between smooth segments of f. Secondly, simultaneously we find the approximations of all the different segments of f. We start by developing and demonstrating a high accuracy algorithm for the 1D case, and we use this algorithm to step up to the multidimensional case.


2019 ◽  
Vol 10 ◽  
pp. 8-15
Author(s):  
Armands Celms ◽  
Ilona Reke ◽  
Miks Brinkmanis-Brimanis ◽  
Vivita Pukite

In order to evaluate the accuracy of the local geodetic network of Jurmala City, in research, comparison of forty-seven selected polygonometry network point coordinates with the obtained data was made by performing measurements by real time cinematic (RTK) method in LatPos base station system. Points were chosen so in order to cover evenly the entire territory of the city. At present, gradual renewal and improvement of the local geodetic network takes place in Jurmala. The linear discrepancy of coordinates obtained in measurements varies from 0.016 m to 0.259 m, mean linear discrepancy in the measured points is fixed 0.110 m. Discrepancy of plane coordinates in different regions of Jurmala is not even. It is rather even within approximate boundaries of the determined regions, this is indicated by different directions of offset vectors, which in eastern part of the city are pointed mainly in NW direction, in central part directions are pointed in W direction, but in the western part of the city pointed in NE direction. Concerning heights, only for 3 of measured points discrepancy exceeds 0.05 m error and there are no connection concerning some specific region. 15% of the measured points of the local geodetic network are with appropriate accuracy of plane coordinates. The linear discrepancy of plane coordinates for points of the local geodetic network, which are measured by RTK method and compared with data from the improved network is 0.024 (m), which indicates the high accuracy of RTK method in measurement data. In Jurmala City, obtaining of data by GNNS data receivers is encumbered by large density of trees. Therefore the local geodetic network in city has very important role in order to ensure performance of geodetic measurements of high quality in the territory of the city. Aim of the research is to evaluate the accuracy of the local geodetic network of Jurmala City. The following tasks have been set for achieving the aim: research of the given problem, visit of the local geodetic network points, performing control measurements, data processing and analysis.


Author(s):  
Yasri Yasri

The DES encryption/decryption algorithm is quite a popular algorithm due to ease in learning. Calculations for DES using binary numbers however are very difficult, including 16 rounds required for a full encode. Teaching DES encryption manually is difficult since it requires a long time. It also requires high accuracy for the 64-bit binary numbers, the possibility of mistakes are very high. Besides, the students cannot perform self-check, whether the given task is done correctly. Application of Excel and VBA is used to facilitate observation, comparison, and understanding the DES algorithm. The result is a teaching model using DES for modern encryption. 


1979 ◽  
Vol 44 (6) ◽  
pp. 1698-1714 ◽  
Author(s):  
Vladimír Dohnal ◽  
Robert Holub ◽  
Jiří Pick

For binary systems of the type an arbitrary component + n-alkane we derived relations, on the basis of the Barker theory and on the basis of the group contribution concept, for predicting gE and hE from one system to another when the n-alkane length is changed. To carry out the prediction it is not necessary to evaluate any adjustable parameters. The developed method was tested using a large number of different systems covering alcohols, amines, ketones, esters, chlorinated derivatives of hydrocarbons, aromatic hydrocarbons and n-alkanes from n-pentane to n-hexadecane. The results of predictions are in very good agreement with experimental data in the cases, when the n-alkanes involved are not longer than n-decane. Systematic regular deviations in hE in the cases, when at least one of n-alkanes involved is longer, can be explained by the presence of orientation effects in the pure longer n-alkanes. The correction suggested by us for these effects improves considerably results obtained. The developed method appears to be suitable for the systematic prediction of excess quantities of systems of the given type and represents an effective test of the Barker theory.


Author(s):  
Viktor N. Klyushnichenko ◽  
◽  
Gennady P. Martynov ◽  
Galina I. Yurina ◽  
◽  
...  

The article is devoted to the relevant problem of the adjustment of different-time and different-accuracy results of land plot coordination support which highly require cadastral registration. The most significant factor in the given case is the area of a land plot, which is its main parameter being taken into account in determination of type of permitted use, cadastral value, land tax and rent. Therefore, area determination requires rather high accuracy, in particular, for garden and vegetable garden plots. According to statistics the significant part of earlier registered land plots contains errors, that’s why there are often the cases when adjacent plots overlap or their area is determined obviously incorrectly. Such situations require solutions, which are based on repeated cadastral measurements with possible use of several options for determination of adjacent plots areas, which were considered in working formulas of Heron and Brahmagupta. The given formulas do not use land plot boundary points coor-dinates, that’s why they can perform some control functions in cases of repeated coordinate determi-nation in such situations. The result of the present research was the formulation and solution of the problem of clarifying the location of gardening land plots and summer cottages in general that were previously approximated to the locality. The results of cadastral activities characterized the essence and content of using the formulas of Geron and Brahmagupta for calculating the values of areas, an analysis is carried out and practical recommendations for their use are given.


2011 ◽  
Vol 21 (1) ◽  
pp. 1-56 ◽  
Author(s):  
Ali Moussa

AbstractThe problem of the Qibla was one of the central issues in the scientific culture of Medieval Islam, and to solve it properly, one needed mathematics and observation. The mathematics consisted of two parts: plane trigonometry (to construct the trigonometric tables) and spherical trigonometry (as the problem belongs to spherical astronomy). Observation and its instruments were needed to find the geographical coordinates of Mecca and the given location; these coordinates (latitude, longitude) will be the input data in the formulas of the Qibla. In his Almagest, Abū al-Wafāʾ produced a brilliant work to solve the problem. He worked on both mathematics and observation, and reached accurate and easy “modern” solutions. In plane trigonometry, he introduced the trigonometric functions with new definitions, proved the formulas for sines, approximated the sine of degree one, and thus constructed the tables of sines and tangents with high accuracy. In spherical trigonometry, he proved four new spherical theorems, including the tangent rule (which was based on the new definitions and this rule allowed him to work out the easiest solution, as will be shown). In observation, he described three instruments which he used over several years in Baghdad. This paper is a detailed technical and analytical description of Abū al-Wafāʾ's mathematical methods and the Qibla determinations, supplemented with many important original Arabic texts with translation and commentary.


2011 ◽  
Vol 1 (4) ◽  
pp. 379-395 ◽  
Author(s):  
Ch. Blick ◽  
W. Freeden

Spherical Spline Application to Radio Occultation DataIn recent years, the importance of the Radio Occultation Method (ROM), an observation procedure of atmospheric quantities such as temperature, density, pressure, and water vapor, increased in value. Based on the global distribution and the high accuracy of the measurements between the Earth's surface up to 35km altitude, ROM offers new perspectives for climate monitoring. In order to compare the measurements, the data have to be visualized. This paper gives the basic definitions and theorems of spline approximation on the sphere. Via its adjustable smoothing parameters, ROM can be suitably adapted to approximate the given data. Further on, it demonstrates, splines as approximation structures realizing a minimal bending energy of their graphs provide a good approximation of the data at hand. Our results demonstrate that spherical spline approximation is an appropriate method to visualize the change over time of a given layer and to illustrate the vertical composition of the Earth's atmosphere. Moreover, ROM enables us to compare the layers of the atmosphere at different points in time as well as the approximation of parameters between the measurements on arbitrary points on the Earth.


2020 ◽  
Vol 17 (1) ◽  
pp. 505-512
Author(s):  
Sanket Mishra ◽  
Sarthak Rajwanshi ◽  
Chittaranjan Hota

Buildings account for a large share in energy consumption in day to day life. Occupancy based models can help in modeling whether the building or the particular room is occupied or not. Occupancy detection mechanisms can help in automating the electrical appliances and make them operational only in presence of the person in the room. This helps in creating energy aware scenarios which can contribute to the energy efficiency and reduction in power tariff. In this work, we take the approach of occupancy modeling by the help of Ensemble Models constructed using Random Forests, Logistic Regression and Support Vector Machine classifiers. The ensemble approach undertaken in this work is Voting and the weights of classifiers to the meta-model are fine-tuned using a Differential Evolution optimization algorithm. The results were found to be of high accuracy, i.e., 98.8% and 98.7% on the given test sets.


2021 ◽  
Vol 1 (1) ◽  
pp. 144-157
Author(s):  
G. M. Babeniuk

Context. The main purpose of Correlation Extremal Navigation system is finding coordinates in case of absence of Global Positioning System signal and as a result high-accuracy maps as the main source of information for finding coordinates are very important. Magnetic field map as the main source of information can include errors values, as an example: not good enough equipment or human factor can cause error value of measurements. Objective. In order to create high-accuracy maps given work proposes to improve the process of creating magnetic field maps. The given work represents delay tolerant networking as an additional approach for data transmission between magnetic observatory and magnetic station and its improvement. Method. Improved Dijkstra’s algorithm together with Ford-Fulkerson’s algorithm for finding path with minimum capacity losses, earliest delivery time and maximum bit rate in case of overlapping contacts should be represented in the given work because nowadays, delay tolerant networking routing protocols do not take into account the overlap factor and resulting capacity losses and it leads to big problems Results. For the first time will be presented algorithm that chooses the route that guarantees the minimum of capacity losses, earliest delivery time and maximum bit rate in the delay tolerant networking with overlapping contacts and increases the probability of successful data transmission between magnetic stations and magnetic observatories. Conclusions. In order to perform high-accuracy measurement of magnetic field group of people allocate their equipment for magnetic field measurement in remote areas in order to avoid the influence of environment on measurements of magnetometer. Since magnitude of magnetic field can vary dependent on temperature, proximity to the ocean, latitude (diurnal variation of magnetic field) and magnetic storms magnetic station from time to time adjusts its measurements with a help of reference values of magnetic field (magnetic station sends request for reference values to magnetic observatory). The problem of the given approach is that remote areas usually are not covered by network (no Internet) and as a result the adjustment of measurements is impossible. In order to make adjustment of measurements possible and as a result improve accuracy of magnetic maps given work proposed the usage of Delay Tolerant Networking that delivers internet access to different areas around the world and represented its improvement to make its approach even better.The results are published for the first time.


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