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"Beveridge, Colin"
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Basic maths practice problems for dummies
Ready to put pencil to paper and brush up on your maths skills? With practice problems and fully workedout solutions, Basic Maths Practice Problems For Dummies, is the perfect revision tool.
Modeling and Measuring the Flux Reconnected and Ejected by the Two-Ribbon Flare/CME Event on 7 November 2004
2007
Issue Title: Sun-Earth Events Topical Issue. Guest Editor: Louise. K. Harra Observations of the large two-ribbon flare on 7 November 2004 made using SOHO and TRACE data are interpreted in terms of a three-dimensional magnetic field model. Photospheric flux evolution indicates that -1.4×10^sup 43^ Mx^sup 2^ of magnetic helicity was injected into the active region during the 40-hour buildup prior to the flare. The magnetic model places a lower bound of 8×10^sup 31^ ergs on the energy stored by this motion. It predicts that 5×10^sup 21^ Mx of flux would need to be reconnected during the flare to release the stored energy. This total reconnection compares favorably with the flux swept up by the flare ribbons, which we measure using high-time-cadence TRACE images in 1600 Å. Reconnection in the model must occur in a specific sequence that would produce a twisted flux rope containing significantly less flux and helicity (10^sup 21^ Mx and -3×10^sup 42^ Mx^sup 2^, respectively) than the active region as a whole. The predicted flux compares favorably with values inferred from the magnetic cloud observed by Wind. This combined analysis yields the first quantitative picture of the flux processed through a two-ribbon flare and coronal mass ejection. [PUBLICATION ABSTRACT]
Journal Article
Teacher skills tests for dummies
2014
If you're preparing for the newly revised Numeracy and Literacy Skills Tests, Teacher's Skills Tests For Dummies is your one-stop for both exams, providing you with subject-matter review, revision and practice tests you need to tackle the tests with confidence and succeed. Written by expert authors in Maths, English, and Education (with the credentials to prove it), Teacher's Skills Tests For Dummies provides you with: - A review of the key maths and English concepts you need to know to do well - Full length practice tests and tons of additional practice questions - Online accessible audio tests for spelling and mental arithmetic - to better prepare you for the actual test - Tips and tricks (along with mistakes to avoid) to become a better test taker With this book - and a bit of work on your part - you'll be positioned to pass your skills tests and gain that coveted place on a teacher-training course.
Teachers' skills tests for dummies
2014
If you're preparing for the newly revised Numeracy and Literacy Skills Tests, Teacher's Skills Tests For Dummies is your one-stop for both exams, providing you with subject-matter review, revision and practice tests you need to tackle the tests with confidence and succeed.
A topological analysis of the magnetic breakout model for an eruptive solar flare
2005
The magnetic breakout model gives an elegant explanation for the onset of an eruptive solar flare, involving magnetic reconnection at a coronal null point which leads to the initially enclosed flux 'breaking out' to large distances. In this paper we take a topological approach to the study of the conditions required for this breakout phenomenon to occur. The evolution of a simple delta sunspot model, up to the point of breakout, is analysed through several sequences of potential and linear force-free quasi-static equilibria. We show that any new class of field lines, such as those connecting to large distances, must be created through a global topological bifurcation and derive rules to predict the topological reconfiguration due to various types of bifurcation.
Journal Article
Unsupervised machine learning for detecting mutual independence among eigenstate regimes in interacting quasiperiodic chains
2025
Many-body eigenstates that are neither thermal nor many-body-localized (MBL) were numerically found in certain interacting chains with moderate quasiperiodic potentials. The energy regime consisting of these non-ergodic but extended (NEE) eigenstates has been extensively studied for being a possible many-body mobility edge between the energy-resolved MBL and thermal phases. Recently, the NEE regime was further proposed to be a prethermal phenomenon that generally occurs when different operators spread at sizably different timescales. Here, we numerically examine the mutual independence among the NEE, MBL, and thermal regimes in the lens of eigenstate entanglement spectra (ES). Given the complexity and rich information embedded in ES, we develop an unsupervised learning approach that is designed to quantify the mutual independence among general phases. Our method is first demonstrated on an illustrative toy example that uses RGB color data to represent phases, then applied to the ES of an interacting generalized Aubry Andre model from weak to strong potential strength. We find that while the MBL and thermal regimes are mutually independent, the NEE regime is dependent on the former two and smoothly appears as the potential strength decreases. We attribute our numerically finding to the fact that the ES data in the NEE regime exhibits both an MBL-like fast decay and a thermal-like long tail.
Modeling and Measuring the Flux Reconnected and Ejected by the Two-Ribbon Flare/CME Event on 7November 2004
2007
Observations of the large two-ribbon flare on 7November 2004 made using SOHO and TRACE data are interpreted in terms of a three-dimensional magnetic field model. Photospheric flux evolution indicates that -1.410 super(43) Mx super(2) of magnetic helicity was injected into the active region during the 40-hour buildup prior to the flare. The magnetic model places a lower bound of 810 super(31) ergs on the energy stored by this motion. It predicts that 510 super(21)Mx of flux would need to be reconnected during the flare to release the stored energy. This total reconnection compares favorably with the flux swept up by the flare ribbons, which we measure using high-time-cadence TRACE images in 1600Aa. Reconnection in the model must occur in a specific sequence that would produce a twisted flux rope containing significantly less flux and helicity (10 super(21)Mx and -310 super(42) Mx super(2), respectively) than the active region as a whole. The predicted flux compares favorably with values inferred from the magnetic cloud observed by Wind. This combined analysis yields the first quantitative picture of the flux processed through a two-ribbon flare and coronal mass ejection.
Journal Article
Unsupervised machine learning for detecting mutual independence among eigenstate regimes in interacting quasiperiodic chains
2024
Many-body eigenstates that are neither thermal nor many-body-localized (MBL) were numerically found in certain interacting chains with moderate quasiperiodic potentials. The energy regime consisting of these non-ergodic but extended (NEE) eigenstates has been extensively studied for being a possible many-body mobility edge between the energy-resolved MBL and thermal phases. Recently, the NEE regime was further proposed to be a prethermal phenomenon that generally occurs when different operators spread at sizably different timescales. Here, we numerically examine the mutual independence among the NEE, MBL, and thermal regimes in the lens of eigenstate entanglement spectra (ES). Given the complexity and rich information embedded in ES, we develop an unsupervised learning approach that is designed to quantify the mutual independence among general phases. Our method is first demonstrated on an illustrative toy example that uses RGB color data to represent phases, then applied to the ES of an interacting generalized Aubry Andre model from weak to strong potential strength. We find that while the MBL and thermal regimes are mutually independent, the NEE regime is dependent on the former two and smoothly appears as the potential strength decreases. We attribute our numerically finding to the fact that the ES data in the NEE regime exhibits both an MBL-like fast decay and a thermal-like long tail.
Technology is only one part of the whole
2007
Of course, IT is a vital part of a modern system, but it by no means represents the whole recipe. After all, if you baked a cake with flour alone, your customers would not thank you for the results. They would rightly ask: what happened to the eggs, butter and sugar?
Journal Article
Magnetic topology of the solar corona
by
Beveridge, Colin
in
Astrophysics
2003
This thesis examines the magnetic topology of the solar corona. Many of the dynamic processes in the Sun's atmosphere are driven by the magnetic field, and so understanding the structure of such such fields is a key step towards modelling these phenomena. The technique of Magnetic Charge Topology (MCT) is used to determine the topologies due to various source configurations. The balanced four-source case is completely classified, and seven distinct topological states are found. This is compared to the complete three-source classification performed by Brown and Priest (1999a). A method is described for extending the analysis to greater numbers of sources. MCT is also used to discuss the creation of magnetic null points in the solar corona. Until recently, it was tacitly assumed that any coronal nulls would have to be created by means of a local double-separator bifurcation in the photospheric source plane. A counter-example - the new, coronal local separator bifurcation - with five unbalanced sources is found and analysed, and several seven-source scenarios are also discussed. We also find that this new bifurcation plays a critical role in the Magnetic Breakout Model for solar flares and coronal mass ejections (Antiochos et al, 1999). We provide a simple MCT model for a flaring delta-spot region and find that a 'breakout' can be provoked in several different ways. Finally, a Monte Carlo variation on MCT is used to determine the proportion of upright nulls in a field due to a large number of sources. By overlaying two plane topologies, we find also the number of separators and use the result to calculate typical sizes for elemental flux loops in the corona.
Dissertation