One approach to solving the basic equation of magnetostatics in the case of nonhomogeneous magnets

2016 ◽  
Vol 187 (1) ◽  
pp. 525-538 ◽  
Author(s):  
V. V. Dyakin ◽  
O. V. Kudryaschova ◽  
V. Y. Raevskii
2012 ◽  
Vol 8 (1) ◽  
pp. 1-15
Author(s):  
Gy. Sitkei

Motion of particles with air resistance (e.g. horizontal and inclined throwing) plays an important role in many technological processes in agriculture, wood industry and several other fields. Although, the basic equation of motion of this problem is well known, however, the solutions for practical applications are not sufficient. In this article working diagrams were developed for quick estimation of the throwing distance and the terminal velocity. Approximate solution procedures are presented in closed form with acceptable error. The working diagrams provide with arbitrary initial conditions in dimensionless form of general validity.


2020 ◽  
Vol 2 (1) ◽  
pp. 45-54
Author(s):  
Almira Keumala Ulfah

This study intends to analyze comprehensively about accounting equations in business transactions. The accounting equation is the basis for understanding accounting records that use paired records so that the amount of debit is always balanced with credit and can know where the position of assets, debt position and capital position in each transaction. The basic accounting equation is an equation that shows the balance between assets, liabilities, and equity. The basic accounting equation is an equation that shows the balance between assets, liabilities, and equity. The accounting equation does not only record transactions that are directly related to assets, debt and capital. The accounting equation can also be used to see the effects of income, expenditure, expense, and transaction transactions. Therefore, before making financial statements we must first have to understand the basic concept of accounting, the accounting equation. The basic equation in accounting is a basic concept in making financial statements. Keywords: accounting equations, financial statements, and business transactions   Abstrak Penelitian ini bermaksud untuk menganalisis secara komprehensif tentang persamaan akuntansi dalam transaksi bisnis. Persamaan akuntansi merupakan dasar untuk memahami pencatatan akuntansi yang menggunakan catatan berpasangan sehingga besarnya debit selalu seimbang dengan kredit dan dapat diketahui dimana posisi aset, posisi hutang dan posisi modal dalam setiap transaksi. Persamaan akuntansi dasar adalah persamaan yang menunjukkan keseimbangan antara aset, kewajiban, dan ekuitas. Persamaan akuntansi dasar adalah persamaan yang menunjukkan keseimbangan antara aset, kewajiban, dan ekuitas. Persamaan akuntansi tidak hanya mencatat transaksi yang berhubungan langsung dengan aset, hutang dan modal. Persamaan akuntansi juga dapat digunakan untuk melihat pengaruh pendapatan, pengeluaran, pengeluaran, dan transaksi transaksi. Oleh karena itu, sebelum membuat laporan keuangan kita terlebih dahulu harus memahami konsep dasar akuntansi yaitu persamaan akuntansi. Persamaan dasar dalam akuntansi merupakan konsep dasar dalam pembuatan laporan keuangan. Kata kunci: persamaan akuntansi, laporan keuangan, dan transaksi bisnis


1970 ◽  
Vol 4 (5) ◽  
pp. 268-270
Author(s):  
D. A. Bychatin ◽  
L. I. Shifrin
Keyword(s):  

2021 ◽  
Vol 22 ◽  
pp. 121-135
Author(s):  
Kensaku Kitada

We investigate a version of Yang-Mills theory by means of general connections. In order to deduce a basic equation, which we regard as a version of Yang-Mills equation, we construct a self-action density using the curvature of general connections. The most different point from the usual theory is that the solutions are given in pairs of two general connections. This enables us to get nontrivial solutions as general connections. Especially, in the quaternionic Hopf fibration over four-sphere, we demonstrate that there certainly exist nontrivial solutions, which are made by twisting the well-known BPST anti-instanton.


1983 ◽  
Vol 27 ◽  
pp. 121-128 ◽  
Author(s):  
Toshihiko Sasaki ◽  
Makoto Kuramoto ◽  
Yasuo Yoshioka

Since the method of X-ray multiaxial stress analysis (ψ-splitting problem) was proposed by Dolle and Hauk, their method is often utilized for residual stress evaluation on a processed surface. However, as pointed out by thanselves, a theoretical problem still remains on the assumption of the stress state. Namely, the effect of ψ-splitting is impossible unless stress gradients with respect to the direction of the depth in σ13 or σ23 are present, because these components and σ33 have to vanish at the outer surface. Actually, we often find the 2θ vs. sin2ψ relations which do not agree with their theory. In this paper, we proposed a new method for X-ray multiaxial stress analysis in which the effect of stress gradient was considered. The basic equation of this method was solved by means of the integral method proposed by Lode and Peiter. The validity of the present method was proved through a numerical simulation and an experiment.


1964 ◽  
Vol 5 (39) ◽  
pp. 315-324 ◽  
Author(s):  
Peter Schwerdtfeger

AbstractThe practical analysis of the growth of a sea-ice cover is discussed with initial reference to the classical work of Stefan, whose basic equation connecting surface temperature with the growth of a uniform ice cover of negligible specific heat and hence infinite diffusivity is extended to cover “real” cases. The separate effects of a finite heat content and thermal diffusivity are derived theoretically and semi-empirically respectively, and combined in a more general ice-growth equation which is then tested in the analysis of annual sea-ice growth on Hudson Bay.


1968 ◽  
Vol 19 (4) ◽  
pp. 375-387 ◽  
Author(s):  
K. R. Rushton ◽  
Lucy M. Laing

SummaryThe Dynamic Relaxation solution of the Laplace equation introduces dynamic terms into the basic equation. When this is written as an explicit finite difference formulation it can be solved by an iterative process which only requires a simple substitution routine. The method is easy to programme and requires small storage in the computer. By studying problems involving wind tunnel interference in steady flow, the potentialities of the method are demonstrated.


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