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Force Free Magnetic Fields%2c Curl Eigenfunctions%2c And The Sphere In Transform Space%2c With Applications To Fluid Dynamics And Electromagnetic Theory by Malcolm A. Macleod

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1DTIC ADA265805: Force-Free Magnetic Fields, Curl Eigenfunctions, And The Sphere In Transform Space, With Applications To Fluid Dynamics And Electromagnetic Theory

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The mathematical foundation of a new description of force free magnetic fields (FFMFs) is given using Moses' curl eigenfunctions, in preparation for an investigation of solar magnetic clouds and their interaction with the Earth's magnetosphere and perturbation of the radiation belts. Constant-alpha FFMFs are defined completely on the unit hemisphere in Fourier transform space, reducing the three-dimensional physical space problem to a two dimensional transform space problem. A scheme for classifying these fields by the dimensionality, symmetry, and complexity of their supporting sets in transform space is sketched. The fields corresponding to the simplest 0-, 1-, and 2-dimensional transform sphere sets are exhibited. Four applications illustrate the technique: (1) the constant-alpha FFMF vector potential is shown to be unimodal; (2) alpha is identified with a normalized magnetic helicity; (3) the helicity hierarchy for Trkalian fluids is shown to depend only on alpha and the mean kinetic energy; (4) the Maxwell equations are reduced to an FFMF problem, providing a new point of view for electromagnetic theory. Speculative applications to turbulence and the laboratory modeling of astrophysical FFMFs are mentioned. Future directions for development are indicated, and extensive connections to related work are documented.

“DTIC ADA265805: Force-Free Magnetic Fields, Curl Eigenfunctions, And The Sphere In Transform Space, With Applications To Fluid Dynamics And Electromagnetic Theory” Metadata:

  • Title: ➤  DTIC ADA265805: Force-Free Magnetic Fields, Curl Eigenfunctions, And The Sphere In Transform Space, With Applications To Fluid Dynamics And Electromagnetic Theory
  • Author: ➤  
  • Language: English

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The book is available for download in "texts" format, the size of the file-s is: 18.14 Mbs, the file-s for this book were downloaded 53 times, the file-s went public at Sun Mar 11 2018.

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1Stories from the Faerie Queene

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The object of this volume is to excite interest in one of the greatest poems of English literature, which for all its greatness is but little read and known--to excite this interest not only in young persons who are not yet able to read "The Faerie Queene," with its archaisms of language, its distant ways and habits of life and thought, its exquisite melodies that only a cultivated ear can catch and appreciate, but also in adults, who, not from the lack of ability, but because they shrink from a little effort, suffer the loss of such high and refined literary pleasure as the perusal of Spenser's masterpiece can certainly give. (From the Author's introduction)

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  • Title: Stories from the Faerie Queene
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  • Language: English
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  • Format: Audio
  • Number of Sections: 23
  • Total Time: 7:50:48

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  • Total Time: 7:50:48
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2Shakespeare Story-Book

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This book contains many of Shakespeare's most famous plays, retold for children. - Summary by kathrinee

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  • Title: Shakespeare Story-Book
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  • Language: English
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  • Format: Audio
  • Number of Sections: 54
  • Total Time: 12:24:56

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  • Number of Sections: 54 sections

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  • Total Time: 12:24:56
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3Good Words: 1870

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Good Words was an English monthly magazine directed at evangelicals and nonconformists, particularly of the lower middle classes. It contained overtly religious material as well as serialized novels, dialogues, articles on science and art, essays, sketches of travel, and poetry. The content was chosen with an eye to ensuring that the devout could read it on Sundays without sin. In 1870, Good Words ran three serialized novels: <i>Carlino</i>, <i>Dorothy Fox</i>, and <i>Fernyhurst Court</i>. The magazine also ran several series of travel sketches: <i>Days in North India</i> by Norman Macleod, <i>A Visit to the Country of Vaudois</i> by S. Smiles, <i>Letters from the Tropics</i> by C. Kingsley, and <i>Wanderings in the Desert of the Exodus</i> by E.H. Palmer. - Summary by Elsie Selwyn

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  • Title: Good Words: 1870
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  • Language: English
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  • Format: Audio
  • Number of Sections: 19
  • Total Time: 06:58:05

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  • File Name: goodwords1870_2508_librivox
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  • Total Time: 06:58:05
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