Scientific Papers volume 3
Scientific Papers volume 3
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In our eReader you can find the full English version of the book. Read Scientific Papers volume 3 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 3
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(96) 5r These are the last of the required integrals. 22. Table of Integrals of squares of harmonics*. In this section^. The results obtained in (71), (72), (94), (95), and (96) are collected. * After having completed the evaluation of all these integrals, I found that they may be evaluated very shortly by means of the factors <& and E of (48), 10. I find that for all values of s (writing the eight forms in a single formula), ( c i 8 ) 2 A 4*"M 01 i \i I <* *=im ll - fe x l const - part f ff I leave the reader to verify that this is so. Unfortunately I have hitherto been unable to prove the truth of this except by the laborious method in the text. I do not therefore know whether the result remains true for higher degrees of approximation, although I suspect it does so. If it should be true, it would be very easy to compute the integrals when higher powers of ;3 are included. It may be worth mentioning that the variables are separable in the integrals. Thus, when P, - g Ct 8 denotes any one of the eight forms, v rirfgaw The integrals present no difficulty, but with regard to the others we are met by the impos- sibility of expanding in powers of sec 2 for the lower orders.
What to read after Scientific Papers volume 3?
You can find similar books in the "Read Also" column, or choose other free books by George Howard Darwin to read online
To quickly assess the difficulty of the text, read a short excerpt:
(96) 5r These are the last of the required integrals. 22. Table of Integrals of squares of harmonics*. In this section^. The results obtained in (71), (72), (94), (95), and (96) are collected. * After having completed the evaluation of all these integrals, I found that they may be evaluated very shortly by means of the factors <& and E of (48), 10. I find that for all values of s (writing the eight forms in a single formula), ( c i 8 ) 2 A 4*"M 01 i \i I <* *=im ll - fe x l const - part f ff I leave the reader to verify that this is so. Unfortunately I have hitherto been unable to prove the truth of this except by the laborious method in the text. I do not therefore know whether the result remains true for higher degrees of approximation, although I suspect it does so. If it should be true, it would be very easy to compute the integrals when higher powers of ;3 are included. It may be worth mentioning that the variables are separable in the integrals. Thus, when P, - g Ct 8 denotes any one of the eight forms, v rirfgaw The integrals present no difficulty, but with regard to the others we are met by the impos- sibility of expanding in powers of sec 2 for the lower orders.
What to read after Scientific Papers volume 3?
You can find similar books in the "Read Also" column, or choose other free books by George Howard Darwin to read online
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