first approximation
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2022 ◽  
Vol 258 ◽  
pp. 10009
Author(s):  
Ruben Sandapen

In this talk, based on [1, 2], I argue that the holographic Schrödinger Equation of (3 +1)-dim, conformal light-front QCD and the ’t Hooft Equation of (1+1)-dim, large Nc QCD, can be complementary to each other in providing a first approximation to hadron spectroscopy. Together, the two equations play a role in hadronic physics analogous that of the ordinary Schrödinger Equation in atomic physics.


2021 ◽  
Vol 34 (4) ◽  
pp. 578-581
Author(s):  
Emory Taylor

In 1915, Einstein published general relativity. In 1916, he published a German language book about relativity, which contained his marble table thought experiment for explaining a continuum. Without realizing it, Einstein introduced a quantized two-dimensional discontinuum geometry and inadvertently falsified the marble table thought experiment continuum, which falsified relativity. The foundations of physics do not now (and never did) include a fundamentally sound relativistic theory to account for macroscopic phenomena. It is well known the success of relativity and its singularity problem indicate general relativity is a first approximation of a more fundamental theory. Combine that indication with the falsification of relativity and it is apparent, without speculation, that relativity is now and always was a first approximation of a more fundamental theory. A possible way forward to the more fundamental theory is developing a discontinuum physics based on the quantized two-dimensional discontinuum geometry or an algebraic version of it. Such discontinuum physics is not presented, because it is beyond the scope of this paper.


Hydrology ◽  
2021 ◽  
Vol 9 (1) ◽  
pp. 1
Author(s):  
Sergei Borsch ◽  
Yuri Simonov ◽  
Andrei Khristoforov ◽  
Natalia Semenova ◽  
Valeria Koliy ◽  
...  

This paper presents a method of hydrograph extrapolation, intended for simple and efficient streamflow forecasting with up to 10 days lead time. The forecast of discharges or water levels is expressed by a linear formula depending on their values on the date of the forecast release and the five previous days. Such forecast techniques were developed for more than 2700 stream gauging stations across Russia. Forecast verification has shown that this method can be successfully applied to large rivers with a smooth shape of hydrographs, while for small mountain catchments, the accuracy of the method tends to be lower. The method has been implemented into real-time continuous operations in the Hydrometcentre of Russia. In the territory of Russia, 18 regions have been identified with a single dependency of the maximum lead time of good forecasts on the area and average slope of the catchment surface for different catchments of each region; the possibilities of forecasting river streamflow by the method of hydrograph extrapolation are approximately estimated. The proposed method can be considered as a first approximation while solving the problem of forecasting river flow in conditions of a lack of meteorological information or when it is necessary to quickly develop a forecasting system for a large number of catchments.


Inventions ◽  
2021 ◽  
Vol 7 (1) ◽  
pp. 1
Author(s):  
Tatyana P. Novikova

The study is intended for forest farmers who need to make a mathematically sound and objective decision on the choice of technological operations and technical means for forest restoration. Currently, in studies implementing the forest landscapes restoration approach from the point of view of technology and the use of technical devices (FLR technology), there is some discreteness and fragmentation of the issues. There is a need for a comprehensive study of FLR technology using frontier techniques and devices, and the construction of a single technological FLR algorithm. Preliminary analysis indicates a sharp increase in the number of operational sets from nine for the implementation of the classical technological FLR algorithm to 268 in the first approximation when implementing the proposed algorithm. The FLR algorithm construction is based on the algorithm’s theory, and the verification of the similarity degree of operational sets is based on the cluster analysis by Ward and intra-group connections methods. The algorithm decomposition into six conditionally similar clusters will help plan new forest experiments taking into account interdisciplinary interaction, in addition to the modernization of plant propagation protocols for sustainable reforestation quality management. However, some questions remain for the future: which criterion should be used as a universal basis for choosing operational sets? How can the effectiveness of the FLR technology procedure be evaluated and predicted before its practical implementation?


2021 ◽  
Vol 9 (4) ◽  
pp. 51-55
Author(s):  
Sergej Evtushenko ◽  
Viktoriya Lyepikhova ◽  
Nadezhda Lyashenko ◽  
Yur'evich Andrey

An express analysis of the ecological state of the soil during construction works is proposed. The algorithm is considered, which is the first approximation for describing the quality of the soil mixture, serving to build a system of operational recognition of the component composition of the soil mixture and the percentage of its main components. It is based on the analysis of the forced acoustic emission signal in the frequency domain to obtain the Fourier spectrum. From the general spectrum of the signal, consisting of a set of basic and higher (timbre) harmonics, subspectrs of significant basic harmonics corresponding to certain elements of the soil mixture are distinguished. To isolate the sub-spectra, a sequence of modal harmonics is used. The composition of the set of modal harmonics determines the qualitative composition of the soil in the first approximation.


2021 ◽  
pp. gr.276080.121
Author(s):  
Christopher T Coey ◽  
David J. Clark

Sequence-specific DNA-binding transcription factors are central to gene regulation. They are often associated with consensus binding sites that predict far more genomic sites than are bound in vivo. One explanation is that most sites are blocked by nucleosomes, such that only sites in nucleosome-depleted regulatory regions are bound. We compared the binding of the yeast transcription factor Gcn4 in vivo using published ChIP-seq data (546 sites) and in vitro, using a modified SELEX method ("G-SELEX"), which utilizes short genomic DNA fragments to quantify binding at all sites. We confirm that Gcn4 binds strongly to an AP-1-like sequence (TGACTCA) and weakly to half-sites. However, Gcn4 binds only some of the 1078 exact matches to this sequence, even in vitro. We show that there are only 166 copies of the high-affinity RTGACTCAY site (exact match) in the yeast genome, all occupied in vivo, largely independently of whether they are located in nucleosome-depleted or nucleosomal regions. Generally, RTGACTCAR/YTGACTCAY sites are bound much more weakly and YTGACTCAR sites are unbound, with biological implications for determining induction levels. We conclude that, to a first approximation, Gcn4 binding can be predicted using the high-affinity site, without reference to chromatin structure. We propose that transcription factor binding sites should be defined more precisely using quantitative data, allowing more accurate genome-wide prediction of binding sites and greater insight into gene regulation.


2021 ◽  
Vol 26 (4) ◽  
pp. 63-76
Author(s):  
M.D. Nurul Izyan ◽  
Nur Ain Ayunni Sabri ◽  
A.K. Nor Hafizah ◽  
D.S. Sankar ◽  
K.K. Viswanathan

Abstract The aim of the study is to analyse the axisymmetric free vibration of layered cylindrical shells filled with a quiescent fluid. The fluid is assumed to be incompressible and inviscid. The equations of axisymmetric vibrations of layered cylindrical shell filled with fluid, on the longitudinal and transverse displacement components are obtained using Love’s first approximation theory. The solutions of displacement functions are assumed in a separable form to obtain a system of coupled differential equations in terms of displacement functions. The displacement functions are approximated by Bickley-type splines. A generalized eigenvalue problem is obtained and solved numerically for a frequency parameter and an associated eigenvector of spline coefficients. Two layered shells with three different types of materials under clamped-clamped boundary conditions are considered. Parametric studies are made on the variation of the frequency parameter with respect to length-to-radius ratio and length-to-thickness ratio.


Author(s):  
Andrii Hnatov ◽  
Shchasiana Arhun ◽  
Ruslan Bagach ◽  
Hanna Hnatova ◽  
Valentina Tarasova ◽  
...  

Problem. There are many methods for determining the stability of the energy system. In normal operating condition (normal rated mode), the power system must reliably ensure the consumption of electricity of normalized quality. However, in addition to the normal state, there are emergency and transient states caused by various transients. This is due to the fact that the energy system is constantly changing its parameters. Such changes are determined by variations in the amount of power produced and consumed, as well as the changes in system configuration. Goal. The goal is studying the possibilities of various methods of determining the power systems stability and drawing up the general algorithm of actions for maintenance of their stability. Methodology. When determining the stability of energy systems by the Lyapunov method, two methods can be used: the direct method and the first approximation method. Lyapunov direct method refers to differential methods. To conclude about the stability of the system we do not find a general or particular solution of differential equations, but with their help we find a mathematical function, the complete derivative of which over time allows to obtain a conclusion about the stability of the system. Results. Many methods can be used to determine whether a sustainable energy system is stable or not. The most common are the Lyapunov methods and the Moiseev method. It is determined that the direct Lyapunov method refers to differential methods. The application of the direct Lyapunov method for energy problems is limited. Currently, it can be used only for some individual cases. The method of the first approximation (Lyapunov first method) has received wider application in the solution of power problems. When applying this method, which belongs to the group of methods of full integration, the right-hand sides of the equations are decomposed into power series. Originality. It is determined that one of the perspective directions of increasing the efficiency of the mathematical device work is using the methods of the second order in modeling and optimization of operating modes of electric power systems. This allows you to increase the speed and reliability of the convergence of iterative processes. Practical value. Based on the analysis of various existing methods for solving the problems of stability of energy systems, an algorithm of actions is proposed and developed, which will help to solve the problem of stability in practice.


Author(s):  
Aida Joselyn Olvera-Ruvalcaba ◽  
Gilda Gómez-Peresmitré ◽  
Eduardo Velasco-Rojano

AbstractWorldwide, mindful-eating (ME) research has gained high relevance on health psychology because of its relationship with psychological dysfunction and eating disorders. However, ME has been scarcely studied in Mexico. Therefore, the aim of this study was to develop a scale to assess this construct in its positive (ME) and negative connotation (mindless-eating), as well as to examine its psychometric properties in a Mexican population. After designed, the scale was completed by 527 undergraduate students (Mage = 20.8, SD = 2.0), the data with which the exploratory factor analysis yielded two factors that explained 59% of variance: Mindless eating (α = .84) and Emotional eating (α = .68). Subsequently, with 227 undergraduate students (Mage = 20.71 SD = 1.76), the confirmatory factor analysis yielded one-dimensional model with adequate fit indices (X2 = 10.15, p = .33; X2/df = 1.12; CFI = .99; TLI = .98; RMSEA y SRMR = .02) to assess mindless eating. This study represents a first approximation to ME assessment in Mexican population, so it is expected that future research can strengthen the results obtained here.ResumenEn el mundo, el estudio de la alimentación con atención plena (ACAP) ha cobrado gran relevancia en el área de la psicología de la salud, dada su relación con la disfunción psicológica y la patología alimentaria. No obstante, en México la ACAP ha sido escasamente investigada. Por tanto, el objetivo de este estudio fue desarrollar una escala dirigida a evaluar el constructo tanto en su sentido positivo (ACAP) como negativo (alimentación sin atención plena [ASAP]), así como examinar sus propiedades psicométricas en población mexicana. Tras diseñarla, la escala fue completada por 527 estudiantes universitarios (Medad = 20.8, DE = 2.0), datos con los que el análisis factorial exploratorio arrojó dos factores que explicaron 59% de la varianza: Alimentación sin consciencia (α = .84) y Alimentación emocional (α = .68). Posteriormente, en 227 estudiantes universitarios (Medad = 20.71 DE = 1.76), el análisis factorial confirmatorio arrojó un modelo unidimensional, con ajuste adecuado (X2 = 10.15, p = .33; X2/gl = 1.12; CFI = .99; TLI = .98; RMSEA y SRMR = .02), dirigido a evaluar la ASAP. Este estudio representa una primera aproximación a la medición del constructo ACAP en población mexicana, de modo que se espera que futuras investigaciones puedan robustecer los resultados aquí obtenidos.


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