examples of the solutions of laplace apos s equation
CHAPTER 8: THE STEADY MAGNETIC FIELDAt pps
... make acceptance of the laws a little easier; the proof of the laws does exist and is available for the disbelievers or the more advanced student 8.1 BIOT-SAVART LAW The source of the steady magnetic ... magnetic fields, and some of these problems now appear as exercises at the end of the chapter rather than as examples here One useful result is the field of the finite-length current element, shown in ... another, we should expect foolish answers The Biot-Savart law may also be expressed in terms of distributed sources, such as current density J and surface current density K Surface current flows...
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Báo cáo hóa học: " Electron-Spin Precession in Dependence of the Orientation of the External Magnetic Field" docx
... the orientation of the magnetic field were discussed The values of gk and g\ were also estimated The mechanisms responsible for the observed effects were discussed briefly 591 References M Ziese, ... broadens the frequency spectrum of the oscillations and thus accelerates the oscillations decay 1 /s, which results in an additional damping of the oscillations of the Pr However, the contribution of ... an increase in 1 /s in the heterostructures Conclusions Electron-spin dynamics in GaAs-based heterostructures was investigated in the presence of a negative external bias Electron spins were generated...
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IMPACT OF THE EXTERNAL MAGNETIC FIELD AND THE CONFINEMENT OF PHONONS ON THE NONLINEAR ABSORPTION COEFFICIENT OF a STRONG ELECTROMAGNETIC WAVE BY CONFINED ELECTRONS IN COMPOSITIONAL SUPERLATTICES
... the expression of electron distribution function nn,N,k (t) We insert the expression of nn,N,k (t) into the expression of j(t) and then ⊥ ⊥ insert the expression of j(t) into the expression of ... (z) is the wave function of the n-th state in one of the one-dimensional superlattice potential wells, d is the superlattices period, So is the number of superlattices period ∆n is the width of ... a strong EMW in compositional superlattices in case of confined phonons, in this section, we will evaluate, plot and discuss the expression of the NAC for the case of the GaAs − Al0.3 Ga0.7 As...
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báo cáo khoa học:" Histological analysis of the effects of a static magnetic field on bone healing process in rat femurs" pptx
... difficulties, the stainless steel washers were not protected against corrosion, differing thus from those used by Lemons and Natiella [17] Martensitic stainless steel relates to the classification described ... of the surgical bone cavity Distribution of screws and washers, outlining the borders of the surgical bone cavity A distance of 1.3 mm separates the washers over the surgical cavity, corresponding ... and eosin stain (HE) for histological analysis The objective of the present study is to contribute to the understanding of processes involved in the response of bone to electromagnetic fields, by...
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THE ACOUSTOMAGNETOELECTRIC CURRENT OF a RECT ANGULAR QUANTUM WIRE WITH AN INFINITE POTENTIAL IN THE PRESENCE OF AN EXTERNAL MAGNETIC FIELD
... and the second term is the expression of the density of the AME current If the external magnetic field does not exist, then the second term will not exist Thus, the density of the AME current is ... is given |Gpz ,qz |2 = |Λ| 2ρωqz Where Λ is the deformation potential constant and ρ is the crystal density of the RQW In Eq.(5), the first term is the expression of the density of the acoustoelectric ... conditions in Eq.(9) which condition dependences on the frequency ωqz of the acoustic wave, the mass of electrons, the temperature and the cross-sectional area of the RQW The curve of the AME...
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Báo cáo toán học: " A Combinatorial Derivation of the PASEP Stationary Stat" pps
... basic weight Below we address the issues of existence and uniqueness of solutions to the above equations by finding explicit examples of basic weights for certain values of the parameters of the ... which was used to obtain the results in [10, 16] The proof is given in Section 4.4 and works by showing that the the weight of the paths obeys the same equations as the weight of the basic configurations ... provides a second proof of theorem Recursions In this section we study the normalisation using the weight equations (under the assumption η = 1) By considering the position of first (leftmost) ◦...
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The intellectual structure and substance of the knowledge utilization field: A longitudinal author co-citation analysis, 1945 to 2004 pdf
... co-citation entries in the form of a visual map We assessed the goodness -of- fit of each of the co-citation maps produced using Kruskal 's Stress measure [51] Values for Kruskal 's Stress [49] measure were ... least his representation of) a general theory of innovation diffusion Further, Rogers' synthesis of most known empirical studies of diffusion remained useful to scholars If Kuhn 's claim of the social ... social scientists of the last one hundred years His book is the second most cited in the social sciences [143] Some reasons for this influence are obvious He worked in several universities (among them...
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báo cáo khoa học: " The intellectual structure and substance of the knowledge utilization field: A longitudinal author co-citation analysis, 1945 to 2004" potx
... co-citation entries in the form of a visual map We assessed the goodness -of- fit of each of the co-citation maps produced using Kruskal 's Stress measure [51] Values for Kruskal 's Stress [49] measure were ... least his representation of) a general theory of innovation diffusion Further, Rogers' synthesis of most known empirical studies of diffusion remained useful to scholars If Kuhn 's claim of the social ... social scientists of the last one hundred years His book is the second most cited in the social sciences [143] Some reasons for this influence are obvious He worked in several universities (among them...
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on the galois groups of the 2-class field towers of some imaginary quadratic fields
... Let S denote the set of conjugacy classes of subgroups of C Subgroup classes 233 through 272 form the subset of S of subgroup classes of index at most A sequence of commands in MAGMA which tests ... and C2,2 has 87 conjugacy classes of subgroups This is because of the difference in the number of conjugacy classes of order Recall that the order of a conjugacy class is the order of a subgroup ... determine the Galois group in any the above examples This dissertation studies Bush s possibilities for Gal(k nr,2 /k) in each of his examples We attempt to isolate the Galois group among the possibilities...
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Experimental determination of the nuclear magnetic octupole moment of 137ba
... and a phase term φ(t) associated with the phase fluctuations of the field In the specific case of the rf transitions, phase noise is not an issue when using modern oscillators In the case of the Raman ... where the minus sign goes with the |g state and the plus sign with the |e state This is known as the Bloch-Siegert shift and is often important for rf transitions where Ω ∼ ωl is possible [55] For ... methods, measurements, results and conclusion In Chapter 2, we start with the theoretical discussion of the hyperfine interaction This discussion develops further to include the effect of the hyperfine...
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báo cáo hóa học: " Topological confinement in an antisymmetric potential in bilayer graphene in the presence of a magnetic field" pptx
... The insets in panels (a),(b) show the wavespinors of the levels (1) and (3) corresponding to the points with zero oscillator strength arises due to the coupling of the states localized at either ... Figure shows the oscillator strength and the corresponding transition energy ΔE for the topological states of a single kink profile The results are presented as function of ky (panels (a,c)) and the ... oscillator strength The results in Figure 4(a) show a zero value for the oscillator strength at ky = As shown in the inset of Figure 4(a) the wavespinors for the first state ϕa1 ,b1 and the second...
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báo cáo hóa học: " The investigation of frequency response for the magnetic nanoparticulate assembly induced by time-varied magnetic field" ppt
... viscosity, r is the hydrodynamic radius of the cluster, k is the Boltzmann s constant, and T is the absolute temperature [5] When the average relaxation time of clusters in colloidal suspension ... The synthesis process of bare g-Fe2O3 nanoparticles and DMSA-coated g-Fe2O3 nanoparticles The synthesis of bare g-Fe2O3 nanoparticles The 25% (w/w) N(CH3)4OH was slowly added into the mixture of ... clusters Moreover, due to the magnetic repulsive interaction, the size of clusters should be smaller than the original size of aggregates in the suspension This inference is in accordance with the...
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Báo cáo hóa học: " Influence of Landau level mixing on the properties of elementary excitations in graphene in strong magnetic field" docx
... competing interests Acknowledgments The study was supported by grants of Russian Foundation for Basic Research and by the grant of the President of Russian Federation for Young Scientists MK-5288.2011.2 ... observe avoided crossings between dispersions of different magnetoexcitons, and even reversal of a sign of magnetoexciton effective masses (see Figure 1b,c,e,f) Also we see that the high levels ... author: lozovik@isan.troitsk.ru Email address: AAS: aasokolik@yandex.ru Abstract Massless Dirac electrons in graphene fill Landau levels with energies scaled as square roots of their numbers Coulomb...
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báo cáo khoa học: "The permeability of SPION over an artificial three-layer membrane is enhanced by external magnetic field" pptx
... with permission from S Karger AG, Basel SPION was calculated as shown in Figure Figure gives the resistance of the MDCK cells over a period of days Discussion All stages of the experiments showed ... cells were cultured on top of them We speculate that the migration of the SWISS 3T3 fibroblasts into the SIS membrane somehow changed the localization of the pores in the SIS, possibly plugging some ... Figure Transepithelial Electrical Resistance Transepithelial Electrical Resistance The resistance of MDCK cells cultured on the SIS membrane was measured for a period of seven days The resisitance...
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báo cáo khoa học: " Histological evaluation of the influence of magnetic field application in autogenous bone grafts in rats" doc
... graft is placed Screws and washers outlining the borders of the surgical Screws and washers outlining the borders of the surgical bone cavity, in which the bone graft is placed The washers are ... composition of pictures showing the sequence of the surgical cavity (SC) and screw space (SS) The screw holes and the surgical cavity between them may be observed Bifurcating blood vessels invade ... without clear visibility of the washers borders In some of the specimens, the thin cortical structure with massive presence of marrow was apparent No structures representing the autogenous bone graft...
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ON THE HALL EFFECT IN PARABOLIC QUANTUM WELLS WITH AN IN PLANE MAGNETIC FIELD IN THE PRESENCE OF a STRONG ELECTROMAGNETIC WAVE (LASER RADIATION)
... when the confinement frequency ωz increases, the value of ωc (the magnetic field) satisfying this condition decreases So the peak shifts to the left (the region of small magnetic field) as ωz ... The existence of the odd magnetoresistance was explained by the effect of the strong EMW on the probability of collision, i.e., the collision integral depends on the amplitude and frequency of ... system One of the 2DEG models is the parabolic quantum well (PQW) which has attracted many interests in recent years One of the most interesting problems in 2DEG is the Hall effect However, most...
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THE INFLUENCE OF ELECTROMAGNETIC WAVE ON THE RELATIVE MAGNETORESISTANCE IN QUANTUM WELLS WITH PARABOLIC POTENTIAL IN THE PRESENCE OF MAGNETIC FIELD
... (5) → The frequency of the acoustic phonon is low so we can skip ω− q in the delta function in the Eq.(5) Considering the distribution of phonons to be symmetric, in the presence of the magnetic ... reaches a certain value The RMR is also gets the different values when the magnetic field changes These dependences are different from the case of the RMR in the bulk semiconductor published 142 ... RMR in the quantum well We see that the RMR in this case depends on some parameters such as : the intensity of electromagnetic waves, the magnetic field B, the frequency of the radiation, the relaxation...
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Geophysics lecture chapter 3 the magnetic field of the earth
... are the implications of the answer to this question for our understanding of core dynamics and core-mantle coupling? Mechanisms of reversals The mechanisms of field reversals are still subject of ... changes of the length of day, not discussed here), by the statistics of field reversals, and by the suggested preferential reversal paths 3.3 THE EXTERNAL FIELD 85 Intermezzo 3.1 Units of confusion ... of some potential V , and Laplace s and Poisson s equations apply • For the description and analysis of these fields, spherical harmonics is the most convenient tool, which will be used to illustrate...
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The trend of globalization in every field
... four presents the findings of the study This part is apparently important because it justifies the effectiveness of the research Chapter five discusses the findings of the study, provides pedagogical ... points): Students were asked to discuss one topic with each other The topics were within the content of the speaking units in the first semester Students’ manner was assessed during the whole test ... progress of the research There are some reasons for the choice of using mock speaking tests Firstly, students should be familiarized with the speaking test s format during the first semester because...
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