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Circuit diagrams and theoretical magnetic field behavior are described for the STP and resonant heating experiments. Artificial theta stimulation impairs encoding of contextual fear memory. Full Text Available Several experiments have demonstrated an intimate relationship between hippocampal theta rhythm Hz and memory. Lesioning the medial septum or fimbria-fornix, a fiber track connecting the hippocampus and the medial septum, abolishes the theta rhythm and results in a severe impairment in declarative memory.

To assess whether there is a causal relationship between hippocampal theta and memory formation we investigated whether restoration of hippocampal theta by electrical stimulation during the encoding phase also restores fimbria-fornix lesion induced memory deficit in rats in the fear conditioning paradigm.

Male Wistar rats underwent sham or fimbria-fornix lesion operation. Stimulation electrodes were implanted in the ventral hippocampal commissure and recording electrodes in the septal hippocampus. Artificial theta stimulation of 8 Hz was delivered during 3-min free exploration of the test cage in half of the rats before aversive conditioning with three foot shocks during 2 min. Memory was assessed by total freezing time in the same environment 24 h and 28 h after fear conditioning, and in an intervening test session in a different context.

As expected, fimbria-fornix lesion impaired fear memory and dramatically attenuated hippocampal theta power. Artificial theta stimulation produced continuous theta oscillations that were almost similar to endogenous theta rhythm in amplitude and frequency. However, contrary to our predictions, artificial theta stimulation impaired conditioned fear response in both sham and fimbria-fornix lesioned animals. These data suggest that restoration of theta oscillation per se is not sufficient to support memory encoding after fimbria-fornix lesion and that universal theta oscillation in the hippocampus with a fixed frequency may actually impair memory.

The purpose of this article is to introduce the measurements of phase coupling between spikes and rhythmic oscillations of local field potentials LFPs. Multi-channel in vivo recording techniques allow us to record ensemble neuronal activity and LFPs simultaneously from the same sites in the brain. Neuronal activity is generally characterized by temporal spike sequences, while LFPs contain oscillatory rhythms in different frequency ranges. Phase coupling analysis can reveal the temporal relationships between neuronal firing and LFP rhythms. As the first step, the instantaneous phase of LFP rhythms can be calculated using Hilbert transform, and then for each time-stamped spike occurred during an oscillatory epoch, we marked instantaneous phase of the LFP at that time stamp.

Finally, the phase relationships between the neuronal firing and LFP rhythms were determined by examining the distribution of the firing phase. Phase -locked spikes are revealed by the non-random distribution of spike phase. Theta phase precession is a unique phase relationship between neuronal firing and LFPs, which is one of the basic features of hippocampal place cells. Place cells show rhythmic burst firing following theta oscillation within a place field.

And phase precession refers to that rhythmic burst firing shifted in a systematic way during traversal of the field, moving progressively forward on each theta cycle. This relation between phase and position can be described by a linear model, and phase precession is commonly quantified with a circular-linear coefficient. Phase coupling analysis helps us to better understand the temporal information coding between neuronal firing and LFPs. Sparse representations of gravitational waves from precessing compact binaries. Many relevant applications in gravitational wave physics share a significant common problem: the seven-dimensional parameter space of gravitational waveforms from precessing compact binary inspirals and coalescences is large enough to prohibit covering the space of waveforms with sufficient density.

We find that by using the reduced basis method together with a parametrization of waveforms based on their phase and precession , we can construct ultracompact yet high-accuracy representations of this large space. In fact, using only the first 10 reduced basis waveforms yields a maximum mismatch of 0. We test whether the parameters selected from the inspiral regime result in an accurate reduced basis when including merger and ringdown; we find that this is indeed the case in the context of a nonprecessing effective-one-body model.

Binary black-hole systems are expected to be important sources of gravitational waves for upcoming gravitational-wave detectors. If the spins are not colinear with each other or with the orbital angular momentum, these systems exhibit complicated precession dynamics that are imprinted on the gravitational waveform. We develop a new procedure to match the precession dynamics computed by post-Newtonian PN theory to those of numerical binary black-hole simulations in full general relativity. Nutation of the orbital plane on the orbital time-scale agrees well between NR and PN, whereas nutation of the spin direction shows qualitatively different behavior in PN and NR.

We also examine how the PN equations for precession and orbital- phase evolution converge with PN order, and we quantify the impact of various choices for handling partially known PN terms. Inspiral waveforms for spinning compact binaries in a new precessing convention. It is customary to use a precessing convention, based on Newtonian orbital angular momentum L N , to model inspiral gravitational waves from generic spinning compact binaries.

A key feature of such a precessing convention is its ability to remove all spin precession induced modulations from the orbital phase evolution. However, this convention usually employs a postNewtonian PN accurate precessional equation, appropriate for the PN accurate orbital angular momentum L , to evolve the L N -based precessing source frame.


This motivated us to develop inspiral waveforms for spinning compact binaries in a precessing convention that explicitly use L to describe the binary orbits. Our approach introduces certain additional 3PN order terms in the orbital phase and frequency evolution equations with respect to the usual L N -based implementation of the precessing convention.

The implications of these additional terms are explored by computing the match between inspiral waveforms that employ L and L N -based precessing conventions. We found that the match estimates are smaller than the optimal value, namely 0. Ramanujan's theta functions. Theta functions were studied extensively by Ramanujan. Aimed at advanced undergraduates, graduate students, and researchers, the organization, user-friendly presentation, and rich source of examples, lends this book to serve as a useful reference, a pedagogical tool, and a stimulus for further research.

Topics, especially those discussed in the second half of the book, have been the subject of much recent research; many of which are appearing in book form for the first time. Further results are summarized in the numerous exercises at the end of each chapter. Staged theta pinch experiments. Two implosion heating circuits are being experimentally tested.

The principal experiment in the program is the 4. It uses two relatively low energy 50kJ and kJ , high voltage kV capacitor banks to produce the theta pinch plasma inside the 20 cm i. A lower voltage 50 kV , higher energy kJ capacitor bank is used to contain the plasma and provide a variable amount of adiabatic compression.

Because the experiment produces a higher ratio of implosion heating to compressional heating than conventional theta pinches, it should be capable of producing high temperature plasmas with a much larger ratio of plasma radius to discharge tube radius than has been possible in the past.

Part of the implosion bank will be removed and a low inductance crowbar added to convert it to the resonant heating configuration. Bistable flows in precessing spheroids. Precession driven flows are found in any rotating container filled with liquid, when the rotation axis itself rotates about a secondary axis that is fixed in an inertial frame of reference. Because of its relevance for planetary fluid layers, many works consider spheroidal containers, where the uniform vorticity component of the bulk flow is reliably given by the well-known equations obtained by Busse J.

Fluid Mech. So far however, no analytical result for the solutions is available. Moreover, the cases where multiple flows can coexist have not been investigated in detail since their discovery by Noir et al Geophys. In this work we aim at deriving analytical results for the solutions, aiming in particular at first estimating the ranges of parameters where multiple solutions exist, and second studying quantitatively their stability.

We then successfully compare these analytical results with the theory of Busse Dynamical model equations are finally proposed to investigate the stability of the solutions, which describe the bifurcation of the unstable flow solution. We also report for the first time the possibility that time-dependent multiple flows can coexist in precessing triaxial ellipsoids. Numerical integrations of the algebraic and differential equations have been efficiently performed with the dedicated script FLIPPER supplementary material. Ramanujan's mock theta functions. In his famous deathbed letter, Ramanujan introduced the notion of a mock theta function, and he offered some alleged examples.

They are holomorphic parts of special harmonic weak Maass forms. Despite this understanding, little attention has been given to Ramanujan's original definition. Here, we prove that Ramanujan's examples do indeed satisfy his original definition. Theta oscillations locked to intended actions rhythmically modulate perception.

Ongoing brain oscillations are known to influence perception, and to be reset by exogenous stimulations. Voluntary action is also accompanied by prominent rhythmic activity, and recent behavioral evidence suggests that this might be coupled with perception. Here, we reveal the neurophysiological underpinnings of this sensorimotor coupling in humans. We link the trial-by-trial dynamics of EEG oscillatory activity during movement preparation to the corresponding dynamics in perception, for two unrelated visual and motor tasks.

Moreover, theta oscillations are phase -locked to the onset of the movement. Remarkably, the alignment of theta phase and its perceptual relevance unfold with similar non-monotonic profiles, suggesting their relatedness. The present work shows that perception and movement initiation are automatically synchronized since the early stages of motor planning through neuronal oscillatory activity in the theta range. Accuracy of right and left ventricular functional assessment by short-axis vs axial cine steady-state free- precession magnetic resonance imaging: intrapatient correlation with main pulmonary artery and ascending aorta phase -contrast flow measurements.

The left ventricle LV is routinely assessed with cardiac magnetic resonance imaging MRI by using short-axis orientation; it remains unclear whether the right ventricle RV can also be adequately assessed in this orientation or whether dedicated axial orientation is required. We used phase -contrast PC flow measurements in the main pulmonary artery MPA and the ascending aorta Aorta as nonvolumetric standard of reference and compared RV and LV volumes in short-axis and axial orientations.

A retrospective analysis identified 30 patients with cardiac MRI data sets. Patients underwent MRI 1. Bland-Altman analysis revealed a mean offset of 1. Bland-Altman analysis revealed a mean offset of 4. No significant impact of the slice acquisition orientation for determination of RV and LV stroke volumes was found. Therefore, cardiac magnetic resonance workflow does not need to be extended by an axial data set for patients without complex cardiac disease for assessment of biventricular function and volumes. Published by Elsevier Inc. Simulation of stress-modulated magnetization precession frequency in Heusler-based spin torque oscillator.

We investigated stress-modulated magnetization precession frequency in Heusler-based spin transfer torque oscillator by combining micromagnetic simulations with phase field microelasticity theory, by encapsulating the magnetic tunnel junction into multilayers structures. We proposed a novel method of using an external stress to control the magnetization precession in spin torque oscillator instead of an external magnetic field.

The stress-modulated magnetization precession frequency can be linearly modulated by externally applied uniaxial in-plane stress, with a tunable range 4. By comparison, the out-of-plane stress imposes negligible influence on the precession frequency due to the large out-of-plane demagnetization field. The results offer new inspiration to the design of spin torque oscillator devices that simultaneously process high frequency, narrow output band, and tunable over a wide range of frequencies via external stress.

Huang, Houbing, E-mail: hbhuang ustb. Precession effects on a liquid planetary core. Motivated by the desire to understand the rich dynamics of precessionally driven flow in a liquid planetary core, we investigate, through numerical simulations, the precessing fluid motion in a rotating cylindrical annulus, which simultaneously possesses slow precession. By decomposing the nonlinear solution into a set of inertial modes, we demonstrate the properties of both weakly and moderately precessing flows.

It is found that, when the precessional force is weak, the flow is stable with a constant amplitude of kinetic energy. As the precessional force increases, our simulation suggests that the nonlinear interaction between the boundary effects and the inertial modes can trigger more turbulence, introducing a transitional regime of rich dynamics to disordered flow.

The inertial mode u , followed by u or u , always dominates the precessing flow when 0. Moreover, the precessing flow in an annulus shows more stability than in a cylinder which is likely to be caused by the effect of the inner boundary that restricts the growth of resonant and non-resonant inertial modes. Furthermore, the mechanism of triadic resonance is not found in the transitional regime from a laminar to disordered flow.

What forces act in relativistic gyroscope precession? The translation of the relativistic motion into the language of forces, proposed by the author , Nuovo Cimento B , is employed to interpret the gyroscope precession in general relativity. The precession is referred to the comoving Frenet triad built up along the projection of the gyroscope's trajectory onto the 3-space of the local hypersurface-orthogonal observer. Explicit expressions are given for several simple types of motion in the Kerr or simpler field in order to show that the general formulae obtained are not only very simple, but also yield clear results in accord with intuition in concrete situations.

Brown dwarfs in retrogradely precessing cataclysmic variables? Full Text Available We compare Smoothed Particle Hydrodynamic simulations of retrogradely precessing accretion disks that have a white dwarf primary and a main sequence secondary with observational data and with theory on retrograde precession via tidal torques like those by the Moon and the Sun on the Earth [1, 2]. We find no observational candidates in our study that could qualify as brown dwarfs.

Long-term plasticity is proportional to theta -activity. Cyclic changes of dentate gyrus excitability during theta rhythm are related to its function, but whether theta epochs per se are able to alter network properties of dentate gyrus for long time-periods is still poorly understood. We found that stimulation-induced augmentation of the theta rhythm is linked to a subsequent increase of neuronal excitability and decrease of the synaptic response.

This EPSP-to-Spike uncoupling is related to an increased postsynaptic spiking on the positive phases of theta frequency oscillations. Parallel increase of the field EPSP slope and the population spike occurs only after concurrent pre- and postsynaptic activation. This plasticity is proportional to the field bursting activity of granule cells during the stimulation, and may comprise a key step in spatial information transfer.

Long-term potentiation of the synaptic component occurs only when the afferent stimulus precedes the evoked population burst, and is input-specific. Spinor approach to gravitational motion and precession. The translational and rotational equations of motion for a small rigid body in a gravitational field are combined in a single spinor equation. Besides its computational advantages, this unifies the description of gravitational interaction in classical and quantum theory.

Explicit expressions for gravitational precession rates are derived. Solutions to the relativistic precession model. The relativistic precession model RPM can be used to obtain a precise measurement of the mass and spin of a black hole when the appropriate set of quasi-periodic oscillations is detected in the power-density spectrum of an accreting black hole. However, in previous studies, the solution of the RPM. Precession of the Earth-Moon System. The precession rate of the Earth-Moon system by the gravitational influence of the Sun is derived. Attention is focussed on a physically transparent but complete presentation accessible to first- or second-year physics students.

Both a shortcut and a full analysis are given, which allows the inclusion of this material as an example of the physics…. We present the correlation of low energy CP phases , both Dirac and Majorana, and the lepton asymmetry for the baryon asymmetry in the universe, with a certain class of Yukawa matrices that consist of two right-handed neutrinos and include one texture zero in themselves.

Intrahemispheric theta rhythm desynchronization impairs working memory. There is a growing interest in large-scale connectivity as one of the crucial factors in working memory. Correlative evidence has revealed the anatomical and electrophysiological players in the working memory network, but understanding of the effective role of their connectivity remains elusive. In this double-blind, placebo-controlled study we aimed to identify the causal role of theta phase connectivity in visual-spatial working memory. A decrease in memory performance and increase in reaction time was caused by frontoparietal intrahemispheric desynchronization.

According to the diffusion drift model, this originated in a lower signal-to-noise ratio, known as the drift rate index, in the memory system. The EEG analysis revealed a corresponding decrease in phase connectivity between prefrontal and parietal areas after tACS-driven desynchronization. The over-synchronization did not result in any changes in either the behavioral or electrophysiological levels in healthy participants. Taken together, we demonstrate the feasibility of manipulating multi-site large-scale networks in humans, and the disruptive effect of frontoparietal desynchronization on theta phase connectivity and visual-spatial working memory.

On the precession of the optical star in the Cyg X-1 system. Some results are analysed of previoUs spectroscopic investigation of the supergiant HDE based on six-year observations at the 6-m telescope with the puspose of searching for possible variations in the spectrum connected with the precession of the rotation axis of the star upper layers.

It is noted that spectral type and HeI lambda line halfwidth show a coordinated behaviour with the phase of the day period in the frame of the precession hypothesis. Nonuniform distribution of CNO anomalies over the star latitude seems to be possible. Gravitational waves from freely precessing neutron stars. The purpose of this study is to assess the likely detectability of gravitational waves from freely precessing neutron stars. We begin by presenting a neutron star model of sufficient complexity to take into account both the elasticity and fluidity of a realistic neutron star.

We then examine the effect of internal dissipation i. This is followed by an examination of various astrophysical scenarios where some mechanism might pump the precessional motion. We estimate the gravitational wave amplitude in these situations.

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Finally, we conclude that gravitational radiation from freely precessing neutron stars is almost certainly limited to a level undetectable by a LIGO II detector by internal dissipation. Relativistic spin precession in the double pulsar. Describing this eclipse of pulsar A as due to absorption occurring in the magnetosphere of pulsar B, we successfully used a simple geometric model to characterize the observed changing eclipse morphology and to measure the relativistic precession of pulsar B's spin axis around the total orbital angular momentum.

This provides a test of general relativity and alternative theories of gravity in the strong-field regime. Our measured relativistic spin precession rate of 4. Evidence for free precession in a pulsar. Pulsars are rotating neutron stars that produce lighthouse-like beams of radio emission from their magnetic poles. The observed pulse of emission enables their rotation rates to be measured with great precision. For some young pulsars, this provides a means of studying the interior structure of neutron stars.

Most pulsars have stable pulse shapes, and slow down steadily for example, see ref. Here we report the discovery of long-term, highly periodic and correlated variations in both the pulse shape and the rate of slow-down of the pulsar PSR B The variations are best described as harmonically related sinusoids, with periods of approximately 1,, and days, probably resulting from precession of the spin axis caused by an asymmetry in the shape of the pulsar.

This is difficult to understand theoretically, because torque-free precession of a solitary pulsar should be damped out by the vortices in its superfluid interior. Geodetic precession or dragging of inertial frames? In metric theories of gravity the principle of general covariance allows one to describe phenomena by means of any convenient choice of coordinate system. In this paper it is shown that in an appropriately chosen coordinate system, geodetic precession of a gyroscope orbiting a spherically symmetric, spinning mass can be recast as a Lense-Thirring frame-dragging effect without invoking spatial curvature.

The origin of this reference frame moves around the source but the frame axes point in fixed directions. The drag can be interpreted to arise from the orbital angular momentum of the source around the origin of the reference frame. In this reference frame the effects of geodetic precession and Lense-Thirring drag due to intrinsic angular momentum of the source have the same origin, namely, gravitomagnetism. Concise CIO based precession -nutation formulations. To reach this level of performance has required series containing terms at over frequencies and involving several thousand amplitude coefficients.

There are many astronomical applications for which such precision is not required and the associated heavy computations are wasteful. This justifies developing smaller models that achieve adequate precision with greatly reduced computing costs. Methods: The chain of transformations linking celestial and terrestrial coordinates comprises frame bias, precession -nutation, Earth rotation and polar motion.

Results: The biggest reductions come from truncating the series, but some additional gains can be made in the areas of the matrix formulation, the expressions for the nutation arguments and by subsuming long period effects into the bias quantities. Instability study during implosion in the Tupa Theta -Pinch. The importance of instabilities which occur during plasma heating in a Theta Pinch, in the implosion phase , is analysed.

The plasma diagnostic was done by ultrafast photography and diamagnetic probe. The implosion time and the current layer thickness were calculated using a hybrid code for plasma simulation. The theoretical data were compared with the experimental ones.

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We present a new method for extracting the instantaneous orbital axis only from gravitational wave strains of precessing binary systems observed from a particular observer direction. This method enables us to reconstruct the coprecessing frame waveforms only from observed strains for the ideal case with the high signal-to-noise ratio. Specifically, we do not presuppose any theoretical model of the precession dynamics and coprecessing waveforms in our method.

We test and measure the accuracy of our method using the numerical relativity simulation data of precessing binary black holes taken from the SXS Catalog. The coprecessing waveforms are also reconstructed with high accuracy; the mismatch assuming white noise between them and the original coprecessing waveforms is typically a few times including the merger-ringdown phase , and can be improved by an order of magnitude focusing only on the inspiral waveform. In this method, the coprecessing frame waveforms are not only the purely technical tools for understanding the complex nature of precessing waveforms but also direct observables.

It currently supports projected and 3D galaxy auto and cross correlations, galaxy-galaxy lensing, and weighted histograms. Precession feature extraction of ballistic missile warhead with high velocity.

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This paper establishes the precession model of ballistic missile warhead, and derives the formulas of micro-Doppler frequency induced by the target with precession. In order to obtain micro-Doppler feature of ballistic missile warhead with precession , micro-Doppler bandwidth estimation algorithm, which avoids velocity compensation, is presented based on high-resolution time-frequency transform. The results of computer simulations confirm the effectiveness of the proposed method even with low signal-to-noise ratio. Pre-stimulus thalamic theta power predicts human memory formation.

Pre-stimulus theta Hz power in the hippocampus and neocortex predicts whether a memory for a subsequent event will be formed. Anatomical studies reveal thalamus-hippocampal connectivity, and lesion, neuroimaging, and electrophysiological studies show that memory processing involves the dorsomedial DMTN and anterior thalamic nuclei ATN.

The small size and deep location of these nuclei have limited real-time study of their activity, however, and it is unknown whether pre-stimulus theta power predictive of successful memory formation is also found in these subcortical structures. We recorded human electrophysiological data from the DMTN and ATN of 7 patients receiving deep brain stimulation for refractory epilepsy. We found that greater pre-stimulus theta power in the right DMTN was associated with successful memory encoding, predicting both behavioral outcome and post-stimulus correlates of successful memory formation.

In particular, significant correlations were observed between right DMTN theta power and both frontal theta and right ATN gamma Hz phase alignment, and frontal-ATN theta -gamma cross-frequency coupling. We draw the following primary conclusions. Furthermore, prediction of subsequent memory performance by pre-stimulus thalamic oscillations provides evidence that post-stimulus differences in thalamic activity that index successful and unsuccessful encoding reflect brain processes specifically underpinning memory formation.

Finally, the findings broaden the understanding of brain states that facilitate memory encoding to include subcortical as well as cortical structures. Patterns of coupled theta activity in amygdala-hippocampal-prefrontal cortical circuits during fear extinction. Full Text Available Signals related to fear memory and extinction are processed within brain pathways involving the lateral amygdala LA for formation of aversive stimulus associations, the CA1 area of the hippocampus for context-dependent modulation of these associations, and the infralimbic region of the medial prefrontal cortex mPFC for extinction processes.

While many studies have addressed the contribution of each of these modules individually, little is known about their interactions and how they function as an integrated system. Here we show, by combining multiple site local field potential LFP and unit recordings in freely behaving mice in a fear conditioning paradigm, that theta oscillations may provide a means for temporally and functionally connecting these modules. Theta coupling increased between all areas during retrieval of conditioned fear, and declined during extinction learning. Interfering with theta coupling through local electrical microstimulation in CA1-LA affected conditioned fear and extinction recall depending on theta phase.

These results support the hypothesis that theta coupling provides a means for inter-areal coordination in conditioned behavioral responsiveness. More specifically, theta oscillations seem to contribute to a population code indicating conditioned stimuli during recall of fear memory before and after extinction. Algebraic geometry and theta functions. This book is the result of extending and deepening all questions from algebraic geometry that are connected to the central problem of this book: the determination of the tritangent planes of a space curve of order six and genus four, which the author treated in his Colloquium Lecture in at Amherst.

The first two chapters recall fundamental ideas of algebraic geometry and theta functions in such fashion as will be most helpful in later applications. In order to clearly present the state of the central problem, the author first presents the better-known cases of genus two Chapter III and. Precession electron diffraction — a topical review. It is now used primarily in two ways. The first is to determine crystal structures, to identify lattice parameters and symmetry, and ultimately to solve the atomic structure ab initio.

The second is, through connection with the microscope scanning system, to map the local orientation of the specimen to investigate crystal texture, rotation and strain at the nanometre scale. This topical review brings the reader up to date, highlighting recent successes using PED and providing some pointers to the future in terms of method development and how the technique can meet some of the needs of the X-ray crystallography community.

Complementary electron techniques are also discussed, together with how a synergy of methods may provide the best approach to electron-based structure analysis. Development of a nuclear precession magnetometer. The objective of this thesis was to develop a proton precession magnetometer for geophysical prospecting and base stations. The proton procession magnetometer measures the total magnetic fields intensity. It operates on the basis of nuclear magnetic resonance by determining the processing frequency of protons of a non viscous liquid in the terrestrial magnetic fields.

Application test was carried out to take diurnal variation data and, reconnaissance and detail surveys data on an archaeological site in the Marajo Island-Pa. For all cases, the data comparison showed a good performance of the magnetometer tested. A QSO with precessing jets: - The separation is 6. A spectrum of the fuzz around the QSO shows absorption features typical of late-type stars, which argues for its occurence in a normal disc or E galaxy.

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