The Atmosphere; Its Characteristics And Dynamics
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In our eReader you can find the full English version of the book. Read The Atmosphere; Its Characteristics And Dynamics 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 The Atmosphere; Its Characteristics And Dynamics
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To quickly assess the difficulty of the text, read a short excerpt:
+ ^ log cos t? + ^, (12) where the capitals are constants in general.
In order to determine the constants in Equation (12) it would be necessary to observe the polar velocities at six points, although theoretically Equation (10) would only require three points. These equations are utterly unmanageable in practice.
However, they may be reduced by the aid of series. Since a function ■can be expressed as a series by the aid of Maclaurin's theorem, which is / ('^) =/ (o) + */'(^) + ^ Ao) + ~ f'lo) ...etc., we can develop the functions in Equation (12) into the following forms, by neglecting powers of '* above the third.
2 .51° cos 2 '? = I — 2 »\ tan .? = .!>-] -.
3 ■ 03 . Q a tan" t!> = — 7-- log cos '? = .
3 ! "^ 2 Substituting these expressions in Equation (12) we have, V=-^(l-2^") + ^(^ + l^)-C(?^)-i?*-£^+^. (13) Reducing and again letting capitals express constants in general (not the same as before), we have v;^A^-B&^-{-C> are, of course, expressed here in radians.
What to read after The Atmosphere; Its Characteristics And Dynamics?
You can find similar books in the "Read Also" column, or choose other free books by Cordeiro, Frederick Joaquim Barbosa, B. 1859 to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
+ ^ log cos t? + ^, (12) where the capitals are constants in general.
In order to determine the constants in Equation (12) it would be necessary to observe the polar velocities at six points, although theoretically Equation (10) would only require three points. These equations are utterly unmanageable in practice.
However, they may be reduced by the aid of series. Since a function ■can be expressed as a series by the aid of Maclaurin's theorem, which is / ('^) =/ (o) + */'(^) + ^ Ao) + ~ f'lo) ...etc., we can develop the functions in Equation (12) into the following forms, by neglecting powers of '* above the third.
2 .51° cos 2 '? = I — 2 »\ tan .? = .!>-] -.
3 ■ 03 . Q a tan" t!> = — 7-- log cos '? = .
3 ! "^ 2 Substituting these expressions in Equation (12) we have, V=-^(l-2^") + ^(^ + l^)-C(?^)-i?*-£^+^. (13) Reducing and again letting capitals express constants in general (not the same as before), we have v;^A^-B&^-{-C> are, of course, expressed here in radians.
What to read after The Atmosphere; Its Characteristics And Dynamics?
You can find similar books in the "Read Also" column, or choose other free books by Cordeiro, Frederick Joaquim Barbosa, B. 1859 to read onlineMoreLess
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