Academic literature on the topic 'Magnetic gradient tensor'

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Journal articles on the topic "Magnetic gradient tensor"

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Nelson, J. Bradley. "Calculation of the magnetic gradient tensor from total field gradient measurements and its application to geophysical interpretation." GEOPHYSICS 53, no. 7 (1988): 957–66. http://dx.doi.org/10.1190/1.1442532.

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The very low inherent noise levels of superconducting quantum interference device (SQUID) sensors have led to proposals for the use of airborne SQUID magnetic gradiometers as geophysical interpretation tools. The quantity measured by such systems will be the gradient tensor, the spatial rate of change of the vector components of the magnetic field. By contrast, existing airborne gradiometers measure the spatial rate of change of the magnitude of the total field. This work describes a technique whereby the gradient tensor can be calculated from measurements of either the vertical or horizontal
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Zhang, Xing Dong, Xiao Hong Meng, and Liang Hui Guo. "Kalman Filter Processing Applications for Motion Noise." Applied Mechanics and Materials 644-650 (September 2014): 3964–67. http://dx.doi.org/10.4028/www.scientific.net/amm.644-650.3964.

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In geophysics exploration, using gradient tensor instead of the full magnetic field gradient has many advantages, which magnetic gradient tensor data to better describe small anomalies. However, the measurement of magnetic gradiometer contains a very complex motion noise, separating the motion noise from the signal component is a large challenge. In this paper, we show the expression for the magnetic gradient tensor, and then through model tests proved the Kalman filter good filtering effect.
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Jia, Xuanji, and Yong Zhou. "Regularity criteria for 3D MHD equations via mixed velocity-magnetic gradient tensors." Nonlinearity 36, no. 2 (2023): 1279–301. http://dx.doi.org/10.1088/1361-6544/acafcc.

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Abstract A well-known regularity criterion in He and Xin (2005 J. Differ. Equ. 213 235–54) shows that if the velocity gradient tensor belongs to L q ( 0 , T ; L p ( R 3 ) ) with 2 / q + 3 / p = 2 , 3 / 2 < p ⩽ ∞ and 1 ⩽ q < ∞ , then the corresponding weak solution to the 3D magnetohydrodynamic (MHD) equations is smooth on ( 0 , T ] . In this paper, we prove that the role of the velocity gradient tensor can be replaced by the combination of the diagonal part of the velocity gradient tensor and the non-diagonal part of the magnetic gradient tensor or by the combination of the diagonal part
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Xu, Lei, Ning Zhang, Liqing Fang, Huadong Chen, Pengfei Lin, and Chunsheng Lin. "Simulation Analysis of Magnetic Gradient Full-Tensor Measurement System." Mathematical Problems in Engineering 2021 (March 19, 2021): 1–13. http://dx.doi.org/10.1155/2021/6688364.

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The magnetic gradient full-tensor measurement system is diverse, and the magnetometer array structure is complex. Aimed at the problem, seven magnetic gradient full-tensor measurement system models are studied in detail. The full-tensor measurement theories of the tensor measurement arrays are analyzed. Under the same baseline distance, the magnetic dipole model is used to simulate the measurement system. Based on different measurement systems, the paper quantitatively compares and analyzes the error of the structure. A more optimized magnetic gradient full-tensor measurement system is suggest
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Chi, Cheng, Dan Wang, Ronghua Tao, and Zhentao Yu. "Error Calibration of Cross Magnetic Gradient Tensor System with Total Least-Squares Method." Mathematical Problems in Engineering 2023 (January 4, 2023): 1–13. http://dx.doi.org/10.1155/2023/6974834.

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The magnetic gradient tensor system configured by fluxgate magnetometers is subjected to different scale factors, three-axis nonorthogonality, bias, and misalignment errors. All those errors above will influence the measurement precision directly, so the magnetic gradient tensor system must be calibrated before use. In this paper, an error calibration method of the magnetic gradient tensor system is proposed. The procedure of the proposed method is as follows. Firstly, the error calibration model of the single fluxgate magnetometer is established and generated an ellipsoid mathematical express
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Ren, Zhengyong, Huang Chen, Chaojian Chen, Yiyuan Zhong, and Jingtian Tang. "New analytical expression of the magnetic gradient tensor for homogeneous polyhedrons." GEOPHYSICS 84, no. 3 (2019): A31—A35. http://dx.doi.org/10.1190/geo2018-0741.1.

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We have developed a new analytical expression for the magnetic-gradient tensor for polyhedrons with homogeneous magnetization vectors. Instead of performing the direct derivative on the closed-form solutions of the magnetic field, it is obtained by first transforming the volume integrals of the magnetic-field tensor into surface integrals over polyhedral facets, in terms of the gradient theorem. Second, the surface divergence theorem transforms the surface integrals over polyhedral facets into edge integrals and structure-simplified surface integrals. Third, we develop analytical expressions f
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Gang, Yin, Zhang Yingtang, Fan Hongbo, Ren GuoQuan, and Li Zhining. "Integrated calibration of magnetic gradient tensor system." Journal of Magnetism and Magnetic Materials 374 (January 2015): 289–97. http://dx.doi.org/10.1016/j.jmmm.2014.08.022.

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Wang, Bo, Guoquan Ren, Zhining Li, and Ziming Cai. "Stability Analysis of Third-order Magnetic Gradient Tensor." Journal of Physics: Conference Series 2381, no. 1 (2022): 012028. http://dx.doi.org/10.1088/1742-6596/2381/1/012028.

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Abstract So far, magnetic gradient tensor has been studied in the field of exploration. The third-order magnetic gradient tensor(MGT) can obtain more target information. But its stability is poor. It will lead to a large error under the condition of noise. Aiming at the above shortcomings, this paper puts forward an improved method. The approximate calculation formula of the third-order MGT is analyzed and improved. It can be got from the simulation that the proposed method is more excellent.
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Adiga, Samyuktha, Dominic Aebi, and David L. Bryce. "EFGShield — A program for parsing and summarizing the results of electric field gradient and nuclear magnetic shielding tensor calculations." Canadian Journal of Chemistry 85, no. 7-8 (2007): 496–505. http://dx.doi.org/10.1139/v07-069.

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A computer program (EFGShield) is described that simplifies and summarizes the output from electric field gradient (EFG) and nuclear magnetic shielding tensor calculations performed independently using existing quantum chemical software. In addition to summarizing tensor magnitudes according to conventions commonly used by solid-state NMR spectroscopists, the program provides Euler angles relating the orientations of the EFG and shielding tensor principal axis systems (PAS). An atomic coordinate file is generated that also contains dummy atoms representing the orientations of the EFG and shiel
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Liu, Gaigai, Yingzi Zhang, Chen Wang, Qiang Li, Fei Li, and Wenyi Liu. "A New Magnetic Target Localization Method Based on Two-Point Magnetic Gradient Tensor." Remote Sensing 14, no. 23 (2022): 6088. http://dx.doi.org/10.3390/rs14236088.

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The existing magnetic target localization methods are greatly affected by the geomagnetic field and exist approximation errors. In this paper, a two-point magnetic gradient tensor localization model is established by using the spatial relation between the magnetic target and the observation points derived from magnetic gradient tensor and tensor invariants. Based on the model, the equations relating to the position vector of magnetic target are constructed. Solving the equations, a new magnetic target localization method using only a two-point magnetic gradient tensor and no approximation erro
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Dissertations / Theses on the topic "Magnetic gradient tensor"

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Zhang, Chunyang. "Crystallographic study on microstructure and martensitic transformation of NiMnSb meta-magnetic multi-functional alloys." Thesis, Université de Lorraine, 2017. http://www.theses.fr/2017LORR0030/document.

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Les alliages NiMnSb, matériaux multifonctionnels nouveaux, ont attiré une attention en raison de leurs multiples propriétés, telles que l'effet de mémoire de forme, magnétocalorique, de biais d'échange, de magnétorésistance. Jusqu'à présent, de nombreux aspects des NiMnSb, tels que structure cristalline, microstructure, propriétés magnétiques et mécaniques ont été étudiés. Cependant, de nombreuses questions fondamentales de ces matériaux n'ont pas été entièrement révélées, ce qui limite leur développement. Une étude a été menée sur les alliages ternaires NiMnSb en termes de structures cristall
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Beiki, Majid. "New Techniques for Estimation of Source Parameters : Applications to Airborne Gravity and Pseudo-Gravity Gradient Tensors." Doctoral thesis, Uppsala universitet, Geofysik, 2011. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-143015.

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Gravity gradient tensor (GGT) data contains the second derivatives of the Earth’s gravitational potential in three orthogonal directions. GGT data can be measured either using land, airborne, marine or space platforms. In the last two decades, the applications of GGT data in hydrocarbon exploration, mineral exploration and structural geology have increased considerably. This work focuses on developing new interpretation techniques for GGT data as well as pseudo-gravity gradient tensor (PGGT) derived from measured magnetic field. The applications of developed methods are demonstrated on a GGT d
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Shee, Avijit. "Relativistic coupled cluster theory - in molecular properties and in electronic structure." Thesis, Toulouse 3, 2016. http://www.theses.fr/2016TOU30053/document.

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L'importance des effets relativistes dans la chimie a été reconnu depuis les années 1980. Par exemple, sans la relativité (a) l'or aurait la même couleur que l'argent (b) le mercure ne serait pas liquide à la température ambiante et (c) nos voitures ne démarrent pas avec une batterie de plomb. Pour une description théorique de la structure et la réactivité des éléments lourds, la relativité est un ingrédient essentiel. Le hamiltonien pour les calculs moléculaires relativistes à 4 composantes est construit en remplaçant la partie mono-électronique de l'hamiltonien électronique non-relativiste p
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Panth, Mohan. "USING SURFACE TENSION GRADIENTS AND MAGNETIC FIELD TO INFLUENCE FERROFLUID AND WATER DROPLET BEHAVIOR ON METAL SURFACES." Miami University / OhioLINK, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=miami1470164188.

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Gaelzer, Rudi. "O tensor dielétrico efetivo para plasmas imersos em campos magnéticos com gradientes perpendiculares." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 1995. http://hdl.handle.net/10183/132944.

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Investiga-se a absorção de ondas eletromagnéticas por plasmas imersos em campos magnéticos retilíneos e inomogêneos na direção perpendicular. O formalismo empregado está dentro do limite de validade do método WKB e se baseia no conceito de tensor dielétrico efetivo, o qual é definido através de correções realizadas em um tensor dielétrico derivado a partir de uma aproximação de ondas planas, de tal forma que a equação de conservação de energia para um plasma fracamente inomogêneo seja automaticamente satisfeita. O tensor dielétrico efetivo obtido por meio deste procedimento descreve corretamen
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Attrell, Robert J. "A Solid-State 35Cl and 81Br NMR and Computational Study of Chlorine and Bromine Electric Field Gradient and Chemical Shift Tensors in Haloanilinium Halides." Thesis, Université d'Ottawa / University of Ottawa, 2012. http://hdl.handle.net/10393/20546.

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The results of a systematic 35Cl, 81Br, and 127I SSNMR spectroscopic study of a series of halogen-substituted anilinium halide salts are presented. Solid-state NMR of these nuclides, bromine-/81 and iodine-127 in particular, is not well established. Twenty-one compounds thought to exhibit halogen bonding were prepared based on modified literature procedures, and two crystal structures were solved. Experiments show that collection of SSNMR spectra of the anions is feasible, though ultrahigh magnetic fields (21.1 T) and variable offset data acquisition were found to be essential. Electric fi
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Beaujoin, Justine. "Post mortem inference of the human brain microstructure using ultra-high field magnetic resonance imaging with strong gradients." Thesis, Université Paris-Saclay (ComUE), 2018. http://www.theses.fr/2018SACLS448/document.

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L’ambition des très hauts champs magnétiques (≥ 7T) à forts gradients (≥ 300mT/m) est de dépasser la résolution millimétrique imposée à plus bas champ pour atteindre l’échelle mésoscopique en neuroimagerie. Etudier le cerveau à cette échelle est essentiel pour comprendre le lien entre fonction et substrat anatomique. Malgré les progrès réalisés sur les aimants cliniques à 7T, il n’en est pas de même des gradients. Cette thèse vise à cartographier le cerveau humain à l’échelle mésoscopique via l’étude de pièces anatomiques post mortem. Une approche alternative a été choisie, reposant sur l'util
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Book chapters on the topic "Magnetic gradient tensor"

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Gee, Myrlene, and Roderick E. Wasylishen. "Aluminum Magnetic Shielding Tensors and Electric Field Gradients for Aluminum(I) Hydride, Aluminum(I) Isocyanide, and the Aluminum(I) Halides: Ab Initio Calculations." In Modeling NMR Chemical Shifts. American Chemical Society, 1999. http://dx.doi.org/10.1021/bk-1999-0732.ch019.

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Newnham, Robert E. "Introduction." In Properties of Materials. Oxford University Press, 2004. http://dx.doi.org/10.1093/oso/9780198520757.003.0003.

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The physical and chemical properties of crystals and textured materials often depend on direction. An understanding of anisotropy requires a mathematical description together with atomistic arguments to quantify the property coefficients in various directions. Tensors and matrices are the mathematics of choice and the atomistic arguments are partly based on symmetry and partly on the basic physics and chemistry of materials. These are subjects of this book: tensors, matrices, symmetry, and structure–property relationships. We begin with transformations and tensors and then apply the ideas to the various symmetry elements found in crystals and textured polycrystalline materials. This brings in the 32 crystal classes and the 7 Curie groups. After working out the tensor and matrix operations used to describe symmetry elements, we then apply Neumann’s Law and the Curie Principle of Symmetry Superposition to various classes of physical properties. The first group of properties is the standard topics of classical crystal physics: pyroelectricity, permittivity, piezoelectricity, elasticity, specific heat, and thermal expansion. These are the linear relationships between mechanical, electrical, and thermal variables as laid out in the Heckmann Diagram. These standard properties are all polar tensors ranging in rank from zero to four. Axial tensor properties appear when magnetic phenomena are introduced. Magnetic susceptibility, the relationship between magnetization and magnetic field, is a polar second rank tensor, but the linear relationships between magnetization and thermal, electrical, and mechanical variables are all axial tensors. As shown in Fig. 1.2, magnetization can be added to the Heckmann Diagram converting it into a tetrahedron of linear relationships. Pyromagnetism, magnetoelectricity, and piezomagnetism are the linear relationships between magnetization and temperature change, electric field, and mechanical stress. Examples of tensors of rank zero through four are given in Table 1.1. In this book we will also treat many of the nonlinear relationships such as magnetostriction, electrostriction, and higher order elastic constants. The third group of properties is transport properties that relate flow to a gradient. Three common types of transport properties relate to the movement of charge, heat, and matter. Electrical conductivity, thermal conductivity, and diffusion are all polar second rank tensor properties.
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Newnham, Robert E. "Tensors and physical properties." In Properties of Materials. Oxford University Press, 2004. http://dx.doi.org/10.1093/oso/9780198520757.003.0007.

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In this chapter we introduce the tensor description of physical properties along with Neumann’s Principle relating symmetry to physical properties. As pointed out in the introduction, many different types of anisotropic properties are described in this book, but all have one thing in common: a physical property is a relationship between two measured quantities. Four examples are illustrated in Fig. 5.1. Elasticity is one of the standard equilibrium properties treated in crystal physics courses. The elastic compliance coefficients relate mechanical strain, the dependent variable, to mechanical stress, the independent variable. For small stresses and strains, the relationship is linear, but higher order elastic constants are needed to describe the departures from Hooke’s Law. Thermal conductivity is typical of the many transport properties in which a gradient leads to flow. Here the dependent variable is heat flow and the independent variable is a temperature gradient. Again the relationship is linear for small temperature gradients. Hysteretic materials such as ferromagnetic iron exhibit more complex physical properties involving domain wall motion. In this case magnetization is the dependent variable responsive to an applied magnetic field. The resulting magnetic susceptibility depends on the past history of the material. If the sample is initially unmagnetized, the magnetization will often involve only reversible domain wall motion for small magnetic fields. In this case the susceptibility is anhysteretic, but for large fields the wall motion is only partly reversible leading to hysteresis. The fourth class of properties leads to permanent changes involving irreversible processes. Under very high electric fields, dielectric materials undergo an electric breakdown process with catastrophic current flow. Under small fields Ohm’s Law governs the relationship between current density and electric field with a well-defined resistivity, but high fields lead to chemical, thermal, and mechanical changes that permanently alter the sample. Irreversible processes are sometimes anisotropic but they will not be discussed in this book. Measured quantities such as stress and strain can be represented by tensors, and so can physical properties like elastic compliance that relate these measurements. This is why tensors are so useful in describing anisotropy.
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Newnham, Robert E. "Thermal conductivity." In Properties of Materials. Oxford University Press, 2004. http://dx.doi.org/10.1093/oso/9780198520757.003.0020.

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When different portions of a solid are at different temperatures, thermal energy is transported from the warmer to the cooler regions. The thermal conductivity coefficient provides a quantitative measure of the rate at which thermal energy is transported along the thermal gradient. Thermal conductivity coefficients k relate the heat flux h [W/m2] to temperature gradient dT/dZ. In tensor form, The minus sign appears because heat flows from hot to cold. Thermal conductivity is measured in units of W/m K. Four contributions to thermal conductivity are illustrated in Fig. 18.1. The two principal mechanisms are from conduction electrons and from lattice vibration phonons. In transparent solids, especially at high temperature, photon transport can also be important. In porous media, convection currents from gas or liquid molecules can contribute to the thermal conductivity. Thermal conductivity is a polar second rank tensor like electric permittivity, magnetic susceptibility, and electrical resistivity but there is a basic question regarding the symmetry of transport properties such as electrical and thermal conductivity. The symmetry of tensors is partly dictated by geometrical considerations through Neumann’s Principle, and partly through thermodynamic arguments. For triclinic crystals there are nine nonzero conductivity coefficients kij . If the tensor is symmetric then kij = kji, and there are only six independent coefficients to be determined. For the dielectric constant it was shown that Kij = Kji, based on thermostatic energy arguments (Section 9.2). This argument does not hold for transport properties, but there is another principle based on irreversible thermodynamics. Onsager’s Theorem states that for transport properties, involving the flow of charge, heat, or atomic species, then . . . kij = kji. . . . The proof of Onsager’s Theorem depends on statistical mechanics and is beyond the scope of this book. From a practical point of view, Onsager’s Theorem is not very important because most transport experiments are performed on high symmetry metals, semiconductors, and insulators.
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Newnham, Robert E. "Galvanomagnetic and thermomagnetic phenomena." In Properties of Materials. Oxford University Press, 2004. http://dx.doi.org/10.1093/oso/9780198520757.003.0022.

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The Lorentz force that a magnetic field exerts on a moving charge carrier is perpendicular to the direction of motion and to the magnetic field. Since both electric and thermal currents are carried by mobile electrons and ions, a wide range of galvanomagnetic and thermomagnetic effects result. The effects that occur in an isotropic polycrystalline metal are illustrated in Fig. 20.1. As to be expected, many more cross-coupled effects occur in less symmetric solids. The galvanomagnetic experiments involve electric field, electric current, and magnetic field as variables. The Hall Effect, transverse magnetoresistance, and longitudinal magnetoresistance all describe the effects of magnetic fields on electrical resistance. Analogous experiments on thermal conductivity are referred to as thermomagnetic effects. In this case the variables are heat flow, temperature gradient, and magnetic field. The Righi–Leduc Effect is the thermal Hall Effect in which magnetic fields deflect heat flow rather than electric current. The transverse thermal magnetoresistance (the Maggi–Righi–Leduc Effect) and the longitudinal thermal magnetoresistance are analogous to the two galvanomagnetic magnetoresistance effects. Additional interaction phenomena related to the thermoelectric and piezoresistance effects will be discussed in the next two chapters. In tensor form Ohm’s Law is . . .Ei = ρijJj , . . . where Ei is electrical field, Jj electric current density, and ρij the electrical resistivity in Ωm. In describing the effect of magnetic field on electrical resistance, we expand the resistivity in a power series in magnetic flux density B. B is used rather than the magnetic field H because the Lorentz force acting on the charge carriers depends on B not H.
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Freeman, Richard, James King, and Gregory Lafyatis. "Introduction to Special Relativity." In Electromagnetic Radiation. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198726500.003.0005.

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The history of experiments and the development of the concepts of special relativity is presented with an emphasis on Einstein’s postulates of relativity and the relativity of simultaneity. The development of the Lorentz transformations follows Einstein’s work in enunciating the principles of covariance among inertial frames. The mathematics of the geometry of space-time is presented using Miniowski’s space-time diagrams. In developing Einstein’s argument for the reality of special relativity consequences, two examples of apparent paradoxes with their resolution are given: the twin and connected rocket problems. The mathematics of 4-vectors is developed with explicit presentation of the 4-vector gradient, 4-vector velocity, 4-vector momentum, 4-vector force, 4-wavevector, 4-current density, and 4-potential. This section sums up with the manifest covariance of Maxwell’s equations, and the presentation of the electromagnetic field and Einstein stress-energy tensor. Finally, simple examples of electromagnetic field transformation are given: static electric and magnetic fields parallel and transverse to the velocity relating two inertial frames; and the transformation of fields from a charge moving at relativistic velocities.
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Conference papers on the topic "Magnetic gradient tensor"

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Foss, C. A. "Inversion of Downhole Magnetic Gradient Tensor Data." In 75th EAGE Conference and Exhibition incorporating SPE EUROPEC 2013. EAGE Publications BV, 2013. http://dx.doi.org/10.3997/2214-4609.20130124.

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Medlin, C. "The Magnetic Gradient Tensor for Airborne Geophysical Exploration." In 10th SAGA Biennial Technical Meeting and Exhibition. European Association of Geoscientists & Engineers, 2007. http://dx.doi.org/10.3997/2214-4609-pdb.146.11.1.

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Holstein, H., D. Fitzgerald, C. P. Willis, and C. Foss. "Magnetic Gradient Tensor Eigen-analysis for Dyke Location." In 73rd EAGE Conference and Exhibition incorporating SPE EUROPEC 2011. EAGE Publications BV, 2011. http://dx.doi.org/10.3997/2214-4609.20149349.

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Chen, Jinfei, Qi Zhang, Mengchun Pan, Feibing Weng, Dixiang Chen, and Hongfeng Pang. "Calibration of magnetic gradient tensor measurement array in magnetic anomaly detection." In International Symposium on Precision Engineering Measurement and Instrumentation 2012, edited by Jie Lin. SPIE, 2013. http://dx.doi.org/10.1117/12.2014424.

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Luo, Yao, Ping Wang, Shuling Duan, Haojun Liu, Jinlong Wang, and Zhanfeng An. "Deriving the full magnetic gradient tensor from tri-axial aeromagnetic gradient measurements." In International Workshop and Gravity, Electrical & Magnetic Methods and their Applications, Chenghu, China, 19-22 April 2015. Society of Exploration Geophysicists and and Chinese Geophysical Society, 2015. http://dx.doi.org/10.1190/gem2015-006.

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Qingzhu, Li, Li Zhining, Zhang Yingtang, and Fan Hongbo. "Rotation Sampling Calibration Method for Magnetic Gradient Tensor System." In the 2nd International Conference. ACM Press, 2018. http://dx.doi.org/10.1145/3239576.3239592.

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Getscher, Timothy, and Paul Frontera. "Magnetic Gradient Tensor Framework for Attitude-Free Position Estimation." In 2019 International Technical Meeting of The Institute of Navigation. Institute of Navigation, 2019. http://dx.doi.org/10.33012/2019.16706.

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Li, Jiacheng, Haowei Li, and Jianhua Li. "Magnetic gradient tensor positioning system based on AMR sensor." In 2022 IEEE 6th Information Technology and Mechatronics Engineering Conference (ITOEC). IEEE, 2022. http://dx.doi.org/10.1109/itoec53115.2022.9734574.

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Zhonghua, Bi, Sui Yangyi, Zhang Mingwei, Wang Zixiao, and Liu Ke. "The advantage of magnetic gradient tensor measurement in deep boreholes." In 2019 14th IEEE International Conference on Electronic Measurement & Instruments (ICEMI). IEEE, 2019. http://dx.doi.org/10.1109/icemi46757.2019.9101820.

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Huang, Yu, and Li-hua Wu. "Calibration and correction of the device measuring magnetic gradient tensor." In Third International Conference on Photonics and Image in Agriculture Engineering (PIAGENG 2013), edited by Honghua Tan. SPIE, 2013. http://dx.doi.org/10.1117/12.2019694.

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