Scientific Papers volume 5
Scientific Papers volume 5
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In our eReader you can find the full English version of the book. Read Scientific Papers volume 5 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 Scientific Papers volume 5
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3 1. 3. 5 ' 2' 2T4' 2TTT6' &C ' ; but now we require a closer approximation. Thus 1 . (2n + 3) 2\ 2n + 2 1 . 3 . ( + 1) : (n + 2) !_. _ / 1 1 \ 1. 2. (2n + 3) . (2n + 5) ~ 2 . 4 \ 2n + 2 2T+4/ ' and so on. If we write the coefficients are approximately 1 1. 3 1. 3. 5 *' 2*' 274*"' 2T476**' ^ ;md the series takes actually the form assumed by Todhunter for analytical convenience. In his notation = *co8 + ^cos 30 + ^| # cos 50 + .
2. 4 and P n = ^ . .. [C'a where ultimately t is to be made equal t...o unity.
t Macmillan and Co. , London, 1875.
1904] ON THE ACOUSTIC SHADOW OF A SPHERE 165 Bv summation of the series (t F sin 20 1 - t 3 cos 20 ' For our purpose it is only necessary to write C/t and S/t for C and S respectively, and to identify P with a; in (7). Thus 4 to p and being given by (8). We find, with t= 1 l/4n, P 2 = 4sin 2 0(l-l/2n), so that V P = V(2 sin 0) . (1 l/8n) ; sin 20 2 sin 2 + l/2n ' 7T COt and whence Using (), (77), (y8) in (e) we get P, cot0 V(7rn sin 0) which is the expression required.
What to read after Scientific Papers volume 5?
You can find similar books in the "Read Also" column, or choose other free books by John William Strutt Rayleigh to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
3 1. 3. 5 ' 2' 2T4' 2TTT6' &C ' ; but now we require a closer approximation. Thus 1 . (2n + 3) 2\ 2n + 2 1 . 3 . ( + 1) : (n + 2) !_. _ / 1 1 \ 1. 2. (2n + 3) . (2n + 5) ~ 2 . 4 \ 2n + 2 2T+4/ ' and so on. If we write the coefficients are approximately 1 1. 3 1. 3. 5 *' 2*' 274*"' 2T476**' ^ ;md the series takes actually the form assumed by Todhunter for analytical convenience. In his notation = *co8 + ^cos 30 + ^| # cos 50 + .
2. 4 and P n = ^ . .. [C'a where ultimately t is to be made equal t...o unity.
t Macmillan and Co. , London, 1875.
1904] ON THE ACOUSTIC SHADOW OF A SPHERE 165 Bv summation of the series (t F sin 20 1 - t 3 cos 20 ' For our purpose it is only necessary to write C/t and S/t for C and S respectively, and to identify P with a; in (7). Thus 4 to p and
What to read after Scientific Papers volume 5?
You can find similar books in the "Read Also" column, or choose other free books by John William Strutt Rayleigh to read onlineMoreLess
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