MAGNETIC ANOMALIES OF THIN SHEETS AND THEIR INTERPRETATIONS

Geophysics ◽  
1972 ◽  
Vol 37 (6) ◽  
pp. 963-974 ◽  
Author(s):  
Buddhadeb Banerjee
Keyword(s):  
Iterative Process ◽  
Thin Sheet ◽  
Theoretical Models ◽  
Magnetic Anomalies ◽  
Graphic Method ◽  
Thin Sheets ◽  
Unknown Parameters ◽  
Actual Field ◽  
Depth Extent

A method of quantitative interpretation of the vertical magnetic anomaly (ΔZ) caused by a thin sheet infinite in horizontal extent but limited in depth extent is developed. The determination of the position of the point on the profile above the dike plays an important role in the analysis and is done either by a graphic method or with the help of a rapidly convergent iterative process. When the depth extent of the sheet, either vertical or inclined, becomes infinite, the mathematical steps become simpler, and evaluation of different unknown parameters of the causative body is possible without any prior knowledge of the positions of the cartesian axes. The proposed methods are applied both on theoretical models and on actual field cases.

Interpretation of some two‐dimensional magnetic bodies using Hilbert transforms

Geophysics ◽  
1982 ◽  
Vol 47 (3) ◽  
pp. 376-387 ◽  
Author(s):  
N. L. Mohan ◽  
N. Sundararajan ◽  
S. V. Seshagiri Rao
Keyword(s):  
Circular Cylinder ◽  
Andhra Pradesh ◽  
Theoretical Models ◽  
Magnetic Anomalies ◽  
Two Dimensional ◽  
Hilbert Transforms ◽  
Infinite Depth ◽  
The Hilbert Transform ◽  
Depth Extent ◽  
Horizontal Circular Cylinder

Procedures are formulated using the Hilbert transform for interpreting vertical magnetic anomalies of (1) the sheets (finite and infinite depth extent), (2) the dike, and (3) the horizontal circular cylinder. The applicability of the method is tested on theoretical models. The method is also applied on the well‐known Kursk field anomaly of a sheet (infinite‐depth extent) and the field anomaly of a dike of Karimnagar, Andhra Pradesh, India.

Experimental Determination of the Aluminium Thin Sheets Diameter to a Sheet Thickness of 1.5 mm for Two-Cylinder Bending Machine

2013 ◽  
Vol 308 ◽  
pp. 179-184 ◽  
Author(s):  
Martina Nováková
Keyword(s):  
Experimental Determination ◽  
Working Conditions ◽  
Thin Sheet ◽  
Sheet Thickness ◽  
Thin Sheets ◽  
Testing Device ◽  
Elastic Surface ◽  
Aluminium Sheets

This paper deals with a thin aluminium sheets experimental rotary shaping with use of a testing device. The device consists of two rollers. One of them has an elastic surface. From viewpoint of diagnostics it is necessary to carry out an experiment with defined working conditions for total rotary shaping of a selected sheet.The aim is to shape a thin sheet made of a selected material using different values of thickness and to find out the smallest diameter that could be rotary shaped.

Determination of $$\varvec{\eta }_{{\varvec{p}}}$$ factor for clamped SENT thin sheet specimens of an Interstitial Free steel

2021 ◽  
Vol 227 (2) ◽  
pp. 137-152
Author(s):  
S. K. Chandra ◽  
R. Sarkar ◽  
Sukalpa Choudhury ◽  
Mrinmoy Jana ◽  
P. S. De ◽  
...  
Keyword(s):  
Thin Sheet ◽  
Interstitial Free ◽  
Interstitial Free Steel ◽  
P Factor

scholarly journals The Concept of Accuracy Analysis of the Vertical Displacements Gained from the Hydrostatic Levelling Systems’ Measurements

Sensors ◽  
2021 ◽  
Vol 21 (14) ◽  
pp. 4842
Author(s):  
Waldemar Kamiński
Keyword(s):  
Accuracy Assessment ◽  
Theoretical Models ◽  
Vertical Displacement ◽  
Serial Connection ◽  
Vertical Displacements ◽  
Comprehensive Determination ◽  
The One ◽  
The Individual ◽  
Reference Sensor

Nowadays, hydrostatic levelling is a widely used method for the vertical displacements’ determinations of objects such as bridges, viaducts, wharfs, tunnels, high buildings, historical buildings, special engineering objects (e.g., synchrotron), sports and entertainment halls. The measurements’ sensors implemented in the hydrostatic levelling systems (HLSs) consist of the reference sensor (RS) and sensors located on the controlled points (CPs). The reference sensor is the one that is placed at the point that (in theoretical assumptions) is not a subject to vertical displacements and the displacements of controlled points are determined according to its height. The hydrostatic levelling rule comes from the Bernoulli’s law. While using the Bernoulli’s principle in hydrostatic levelling, the following components have to be taken into account: atmospheric pressure, force of gravity, density of liquid used in sensors places at CPs. The parameters mentioned above are determined with some mean errors that influence on the accuracy assessment of vertical displacements. In the subject’s literature, there are some works describing the individual accuracy analyses of the components mentioned above. In this paper, the author proposes the concept of comprehensive determination of mean error of vertical displacement (of each CPs), calculated from the mean errors’ values of components dedicated for specific HLS. The formulas of covariances’ matrix were derived and they enable to make the accuracy assessment of the calculations’ results. The author also presented the subject of modelling of vertical displacements’ gained values. The dependences, enabling to conduct the statistic tests of received model’s parameters, were implemented. The conducted tests make it possible to verify the correctness of used theoretical models of the examined object treated as the rigid body. The practical analyses were conducted for two simulated variants of sensors’ connections in HLS. Variant no. I is the sensors’ serial connection. Variant no. II relies on the connection of each CPs with the reference sensor. The calculations’ results show that more detailed value estimations of the vertical displacements can be obtained using variant no. II.

Opinion Dynamics Optimization by Varying Susceptibility to Persuasion via Non-Convex Local Search

2021 ◽  
Vol 16 (2) ◽  
pp. 1-34
Author(s):  
Rediet Abebe ◽  
T.-H. HUBERT Chan ◽  
Jon Kleinberg ◽  
Zhibin Liang ◽  
David Parkes ◽  
...  
Keyword(s):  
Local Search ◽  
Objective Function ◽  
Iterative Process ◽  
Large Scale ◽  
Opinion Dynamics ◽  
Theoretical Models ◽  
Global Optimum ◽  
Local Optimum ◽  
Opinion Formation ◽  
Long Line

A long line of work in social psychology has studied variations in people’s susceptibility to persuasion—the extent to which they are willing to modify their opinions on a topic. This body of literature suggests an interesting perspective on theoretical models of opinion formation by interacting parties in a network: in addition to considering interventions that directly modify people’s intrinsic opinions, it is also natural to consider interventions that modify people’s susceptibility to persuasion. In this work, motivated by this fact, we propose an influence optimization problem. Specifically, we adopt a popular model for social opinion dynamics, where each agent has some fixed innate opinion, and a resistance that measures the importance it places on its innate opinion; agents influence one another’s opinions through an iterative process. Under certain conditions, this iterative process converges to some equilibrium opinion vector. For the unbudgeted variant of the problem, the goal is to modify the resistance of any number of agents (within some given range) such that the sum of the equilibrium opinions is minimized; for the budgeted variant, in addition the algorithm is given upfront a restriction on the number of agents whose resistance may be modified. We prove that the objective function is in general non-convex. Hence, formulating the problem as a convex program as in an early version of this work (Abebe et al., KDD’18) might have potential correctness issues. We instead analyze the structure of the objective function, and show that any local optimum is also a global optimum, which is somehow surprising as the objective function might not be convex. Furthermore, we combine the iterative process and the local search paradigm to design very efficient algorithms that can solve the unbudgeted variant of the problem optimally on large-scale graphs containing millions of nodes. Finally, we propose and evaluate experimentally a family of heuristics for the budgeted variant of the problem.

scholarly journals Rules are Rules: Reconceiving Monetary Gold as a Rule of Procedure

AJIL Unbound ◽  
2021 ◽  
Vol 115 ◽  
pp. 144-148
Author(s):  
Juliette McIntyre
Keyword(s):  
Iterative Process ◽  
Third Parties ◽  
Judicial Decision ◽  
Procedural Rule ◽  
Legal Principle ◽  
The Icj ◽  
Rule Making ◽  
Intervention Procedure ◽  
Formal Rules

The Case of the Monetary Gold Removed from Rome in 1943 is familiar to all international lawyers. Like a catechism, we are taught that the ICJ will not proceed with a case where the legal interests of a State not before the Court “would not only be affected by a decision, but would form the very subject-matter of the decision.” Mollengarden and Zamir's proposal that the Court should dispense with the Monetary Gold principle feels almost heretical. The authors contend that the ICJ Statute sets out a framework for balancing the interests of third parties through the use of the intervention procedure, and that Monetary Gold “disrupts that balance.” Monetary Gold is, they submit, to be treated as only a judicial decision, entitled under Article 36(1)(d) of the Statute to little deference as a source of legal principle. I suggest taking an altogether different approach. The best way to understand the place of the Monetary Gold principle is in the context of the ICJ's rule making powers pursuant to Article 30(1) of the Court's Statute. These rule making powers are not limited to the promulgation of formal Rules of Court but extend to the determination of appropriate procedures during the hearing of a case. These procedural rules (small r), articulated in the context of particular cases, may in time evolve into formal Rules of Court through an iterative process. Monetary Gold is an instance of the Court defining a small r procedural rule in a manner that is consistent with the Court's Statute.

scholarly journals Solubilization of Trans-Resveratrol in Some Mono-Solvents and Various Propylene Glycol + Water Mixtures

Molecules ◽  
2021 ◽  
Vol 26 (11) ◽  
pp. 3091
Author(s):  
Mohammed Ghazwani ◽  
Prawez Alam ◽  
Mohammed H. Alqarni ◽  
Hasan S. Yusufoglu ◽  
Faiyaz Shakeel
Keyword(s):  
Propylene Glycol ◽  
Mole Fraction ◽  
Bioactive Compound ◽  
Theoretical Models ◽  
Solubility Parameters ◽  
Hansen Solubility Parameters ◽  
Neat Water ◽  
Dissolution Properties ◽  
Hansen Solubility

This research deals with the determination of solubility, Hansen solubility parameters, dissolution properties, enthalpy–entropy compensation, and computational modeling of a naturally-derived bioactive compound trans-resveratrol (TRV) in water, methanol, ethanol, n-propanol, n-butanol, propylene glycol (PG), and various PG + water mixtures. The solubility of TRV in six different mono-solvents and various PG + water mixtures was determined at 298.2–318.2 K and 0.1 MPa. The measured experimental solubility values of TRV were regressed using six different computational/theoretical models, including van’t Hoff, Apelblat, Buchowski–Ksiazczak λh, Yalkowsly–Roseman, Jouyban–Acree, and van’t Hoff–Jouyban–Acree models, with average uncertainties of less than 3.0%. The maxima of TRV solubility in mole fraction was obtained in neat PG (2.62 × 10−2) at 318.2 K. However, the minima of TRV solubility in the mole fraction was recorded in neat water (3.12 × 10−6) at 298.2 K. Thermodynamic calculation of TRV dissolution properties suggested an endothermic and entropy-driven dissolution of TRV in all studied mono-solvents and various PG + water mixtures. Solvation behavior evaluation indicated an enthalpy-driven mechanism as the main mechanism for TRV solvation. Based on these data and observations, PG has been chosen as the best mono-solvent for TRV solubilization.

Combined Experimentaland Theoretical Determination of the Atomic Structure of the (310) Twin in NB

1991 ◽  
Vol 238 ◽  
Author(s):  
Geoffrey H. Campbells ◽  
Wayne E. King ◽  
Stephen M. Foiles ◽  
Peter Gumbsch ◽  
Manfred Rühle
Keyword(s):  
High Resolution ◽  
Theoretical Models ◽  
High Resolution Electron Microscopy ◽  
Interatomic Potentials ◽  
Image Simulation ◽  
Theoretical Determination ◽  
Atomic Structures ◽  
Resolution Electron ◽  
High Resolution Images

ABSTRACTA (310) twin boundary in Nb has been fabricated by diffusion bonding oriented single crystals and characterized using high resolution electron microscopy. Atomic structures for the boundary have been predicted using different interatomic potentials. Comparison of the theoretical models to the high resolution images has been performed through image simulation. On the basis of this comparison, one of the low energy structures predicted by theory can be ruled out.

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