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The paper shows an algorithm describing a harmonic linearization method which allows for a significant reduction of the calculation time.
Software which allows obtaining data on surface waviness parameters is described.
(4) Analytical expressions for the calculation of the components Pz and Py, were approximated by the experimental data with the help of the least squares method for steel 40H.

Using linear acoustic array in through-transition method, a set of data from different angles is obtained.
Using this data set and the back projection method, the test area imaging is obtained, which is represented by a set of small local areas.
Using this data set, three-dimensional reconstruction of the internal structure of the tested object can be carried out.
The amplifier, in block 7, has a system for the time corrected gain to compensate for the reduction of the signal amplitude at the receiver due to the different distances.
[11] D.Potts and al., Fast Fourier transforms for nonequispaced data: a tutorial in modern sampling theory: mathematics and applications, J.J Benedetto and P.J.S.G.Ferreira (Eds.), Applied and Numerical Harmonic Analysis Series.

Utilizing data from prominent academic databases, the study reveals a steady growth in interest and output over the last two decades.
Data Collection and Processing for Bibliometric Analysis of SCEC Research The bibliometric data for this study was collected from reputable academic databases, including Scopus and Web of Science, to ensure a comprehensive coverage of relevant literature.
The recent data points for 2025 show fluctuations, including a sharp decline, which could be due to incomplete coverage of recent research by indexing and not necessarily a decline in research overall.
The lack of data on chloride penetration, carbonation depth, or water absorption coefficient further limits the development of predictive service life models for SCEC. 5.6.
A review of literature on precast earthen systems suggests that stabilizer content, curing humidity, and demolding time are critical factors [31], but SCEC-specific data is still lacking.

It was shown that a comparison of the data of change patterns in crystal-chemical parameters phenomenologically predicted and obtained from experimental data, allows to predict some of the conditions of stabilization in the examined phase, the solubility limits of alloying elements and, consequently, its homogeneity region, as well as formation conditions of multiphase systems.
For example, studies of Ti-Ni-Pd, Ti-Ni-Pt, Ti-Ni-Au alloys are thoroughly described in [13-21], the data on Ti-Ni-Fe and Ti-Ni-Co systems - in [22-27] and the data on Ti-Ni-Zr, Ti-Ni-Hf, Ti-Ni-Ta systems - in [28-33].
The availability of experimental data allows a detailed comparison of the predicted and experimental results.
Therefore, according to experimental data, the B2 phase existence region in the ternary Ti-Ni-Zr system may be represented as shown in Fig. 6.
Barret, Structure of Metals, Crystallographic Methods, Principles and Data, New York, 1952

Computational experience on randomly generated data sets and an industrial case shows that improved genetic algorithm gives superior results than the genetic algorithm without improving for storage location assignment with ordering restriction.
The problem can be defined as: given P cargos, their average demand and planned inventory levels for T periods and the layout of the storage area divided into lattice of storage locations, the problem is to establish classes of products and allocate them to storage locations so that the total cost of order picking and storage space is minimized in a single command warehouse exploiting the reduction in area because of clubbing the parts into classes.
Computational experience on randomly generated data sets shows that superior crossover and mutation operators play a very important role in the performance of the GA.

Biosorption equilibrium data were best described by Langmuir isotherm model.
Conventional methods for removing metals from aqueous solutions include chemical precipitation, chemical oxidation or reduction, ion exchange, electrochemical treatment, reverse osmosis, membrane technologies and evaporation recovery.
Based on the correlation coefficient R2, it is clear that both the Langmuir(Fig 4) and Freundlich(Fig 5) isotherm models fitted with the experimental data well, and the former model was a better fit than the latter.

This computing platform includes basic data cloud,platform cloud and application cloud normally.
Therefore, building image cloud model consists of three different layers,essential data structure layer, the platform structure layer and application structure layer.
Since the accuracy rate of pixel in obtained mapped region is relatively low, it is not feasible to regard the contour pixels of entire map area as a data source, can only compare the error of known pixels with pixels which meet the condition .
Principal Manifolds and Nonlinear Dimensionality Reduction via Tangent Space Alignment [J].SIAM Journal on Scientific Computing, 2004, (01):313-338
Data Clustering Algorithm and Software Design Based on Disturbance Searching of Logistic Series[J].

This computing platform includes basic data cloud,platform cloud and application cloud normally.
Therefore, building image cloud model consists of three different layers,essential data structure layer, the platform structure layer and application structure layer.
Since the accuracy rate of pixel in obtained mapped region is relatively low, it is not feasible to regard the contour pixels of entire map area as a data source, can only compare the error of known pixels with pixels which meet the condition .
Principal Manifolds and Nonlinear Dimensionality Reduction via Tangent Space Alignment [J].SIAM Journal on Scientific Computing, 2004, (01):313-338
Data Clustering Algorithm and Software Design Based on Disturbance Searching of Logistic Series[J].

Experimental data are used to determine the most appropriate model which is in concordance with the permeant-specific parameters.
Various models analyzing diffusion and penetration mechanisms have been proposed to adapt the experimental data to diverse kinds of PCs.
When the formation permeability is too high, the permeation reduction factor is not important for many polymers.
Moreover, conclusions of researchers yield better information on the effects of polyacrylamide method on flow-induced adsorption and permeability reduction [51]. 5.
Şen, Use of the monodisperse Pt/Ni@rGO nanocomposite synthesized by ultrasonic hydroxide assisted reduction method in electrochemical nonenzymatic glucose detection, Mater.

Such a reduction is in the range 12% ¸ 14%.
A reduction of 14% in the fatigue resistance of coated titanium specimens, or light alloy made components, is not so much relevant in applications were not only the fatigue resistance is the driving parameter but corrosion and wear resistance are of extreme importance too.
The model proposed by Murakami and Endo [22], based on the collection of experimental data for three-dimensional cracks and for short cracks (R=smin/smax=-1), gives the following formulation for the evaluation of the threshold stress intensity factor range: ∆Kth=3.3∙10-3HV+120Area1/31-R2n η=0.226+HV∙10-4 The parameter Area [mm], in the case of surface brittle films, may be assumed to be equal to the crack depth.
Due to the geometry of the spur gears, which present cut areas that enable the reduction of the mass of the gears, the whole gears, pinion and lead wheel, were modelled by means of a hybrid non-structured mesh made of linear tetrahedral and hexahedral finite elements.
The comparison of data confirms that the surface thin hard coating has a good effect on the fatigue resistance of gears, both for steel and Titanium ones.