Asymptotic Description of the Cusps of a Hydromagnetic Figure of Equilibrium
Asymptotic Description of the Cusps of a Hydromagnetic Figure of Equilibrium
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In our eReader you can find the full English version of the book. Read Asymptotic Description of the Cusps of a Hydromagnetic Figure of Equilibrium Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Asymptotic Description of the Cusps of a Hydromagnetic Figure of Equilibrium
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We note that t is really the branch point of Vg(t) - x which we previously labelled t*.
To avoid looping about the branch point t we must choose the path of t so that it always passes to the right of t . Then g(t) will keep to the right of z . This is illustrated in figure 8. For z = z we cause K o the path of t to follow a half circle to the right of t so that g(t) will follow a little detour to the right of z, . For z = z, a much greater deformation of the path of t is required to keep to the... right of t . This keeps g(t) to the right of z, .
Our interest is primarily in z_ = x. Here we lead the path of in- o tegration out to and around t='= and back uncfer the axis to x. This causes g(t) to move out to and around z and back under the axis to g(z ). We would like to be free to use any path of integration in the upper half plane, especially the real negative x-axis itself. As we have just shown this n ~2~ cannot be done for g(z) = z - a iz . If the branch point t* were placed below the real negative x-axis, however, we could choose the portion of this axis from to x as our path of integration for I.
What to read after Asymptotic Description of the Cusps of a Hydromagnetic Figure of Equilibrium?
You can find similar books in the "Read Also" column, or choose other free books by Robert E Dowd to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
We note that t is really the branch point of Vg(t) - x which we previously labelled t*.
To avoid looping about the branch point t we must choose the path of t so that it always passes to the right of t . Then g(t) will keep to the right of z . This is illustrated in figure 8. For z = z we cause K o the path of t to follow a half circle to the right of t so that g(t) will follow a little detour to the right of z, . For z = z, a much greater deformation of the path of t is required to keep to the... right of t . This keeps g(t) to the right of z, .
Our interest is primarily in z_ = x. Here we lead the path of in- o tegration out to and around t='= and back uncfer the axis to x. This causes g(t) to move out to and around z and back under the axis to g(z ). We would like to be free to use any path of integration in the upper half plane, especially the real negative x-axis itself. As we have just shown this n ~2~ cannot be done for g(z) = z - a iz . If the branch point t* were placed below the real negative x-axis, however, we could choose the portion of this axis from to x as our path of integration for I.
What to read after Asymptotic Description of the Cusps of a Hydromagnetic Figure of Equilibrium?
You can find similar books in the "Read Also" column, or choose other free books by Robert E Dowd to read onlineMoreLess
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