A Mathematical Theory of Random Migration
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In our eReader you can find the full English version of the book. Read A Mathematical Theory of Random Migration 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 A Mathematical Theory of Random Migration
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To quickly assess the difficulty of the text, read a short excerpt:
On one side of a straight line there is supposed to be a uniform distribution of habitats ; on the other at starting no habitats. To investigate the distribution in the unoccupied area after one migration. Each individual is supposed to take n-fights to the new habitat.
Let YYhe the straight line and a point at distance c from it on the unoccupied side of it. Let N be the average density per unit of area on the occupied side. Then after an n-flight migration, the contribution from P (co-ordinat...es r, ^) at will be Nrhyhr n (r 2 ), and integrating this all round a circle of radius r from A to C within the occupied area, we have for the quantity F n (c) at f 00 /"cos -1 c/r F n (c) = 2NJ e j o n {r*)rd x dr = 2 JV I cos -1 c/r n (r 2 ) r dr.
@ = -2NJ y n jp^ - = -2NJy n (c* + tf)dy (xliv).
Hence dF„ dc The evaluation of this integral needs a further consideration of the w-functions.
By (xiv) -- - ^-er i ${j**} where e= ~ 2 ^- .
4 26 KAEL PEAESON Transfer the differentiations from /3 to o- 2 and we have : = (- 1 ^)^ ^ or, all the w-functions can be found by differentiating the first w-function with regard to the standard-deviation squared.
What to read after A Mathematical Theory of Random Migration?
You can find similar books in the "Read Also" column, or choose other free books by Karl Pearson to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
On one side of a straight line there is supposed to be a uniform distribution of habitats ; on the other at starting no habitats. To investigate the distribution in the unoccupied area after one migration. Each individual is supposed to take n-fights to the new habitat.
Let YYhe the straight line and a point at distance c from it on the unoccupied side of it. Let N be the average density per unit of area on the occupied side. Then after an n-flight migration, the contribution from P (co-ordinat...es r, ^) at will be Nrhyhr
@ = -2NJ y n jp^ - = -2NJy n (c* + tf)dy (xliv).
Hence dF„ dc The evaluation of this integral needs a further consideration of the w-functions.
By (xiv) -- - ^-er i ${j**} where e= ~ 2 ^- .
4 26 KAEL PEAESON Transfer the differentiations from /3 to o- 2 and we have : = (- 1 ^)^ ^ or, all the w-functions can be found by differentiating the first w-function with regard to the standard-deviation squared.
What to read after A Mathematical Theory of Random Migration?
You can find similar books in the "Read Also" column, or choose other free books by Karl Pearson to read onlineMoreLess
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