Expectation Value for the Size of Devastation Areas Produced By N Bombs
Expectation Value for the Size of Devastation Areas Produced By N Bombs
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In our eReader you can find the full English version of the book. Read Expectation Value for the Size of Devastation Areas Produced By N Bombs 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 Expectation Value for the Size of Devastation Areas Produced By N Bombs
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To quickly assess the difficulty of the text, read a short excerpt:
Bien If a Is suffi- ciently small we can set, without serious error, r a/B for (x, y) within the doiriain D f(x, y)=^j (_0 elsewhere.
Prom (1) It follows that (2) E^ =: B[l - (1 - |)^].
In order that Ejj ^ (1 -ao)B we must have (3) n =; log oc/log(l - |) Thus If o6 » . 05 and a/B = . 01, n ^ 300.
-5- THE OENSRAL CAT-E Since CO ff f(x, y)dx dy = a, -00 It follows from (1) that (4) E„ « na - :^(-l)^ C(n, l) 21 f^(^, 7) dx dy, ^ 1=2 ^ For "small" a and n we can make the approximation 00 * 4 00, (5...) //f^(x, y) dx dy - a^ // P (x, y) dx dy. -00 -oo Thus we obtain the approximate formula 00 (6) E„ =r na - :E (-1)^ C(n, i) a^ // p^(x, y) dx dy. ^ i«2 -00 For exanple, if 2 2 p(x, y) « l/(2Tr) e "li +-2—, then oo 1 1 // P (3c, y) dx dy = -- — -rrr -oo l(2n)^ ^ Thus n (7) E„c^ na - 51 (-1)^ C{n, l) a^ L__.
^ 1=2 i(2n)^^ = na[l - 1 Z: (-1)^ -^^ ^W-^^"^5- Y APPENDIX. THE VARIAITCE IN THE "PLAT" CASE By definition of variance.
(8) O-^^(X) = e(X - fc(X))2 « ^(X^) - £.^(X) = fc(x2) - E^ > 0, where i:(f(X)) denotes the expected value of f(X)« But since X^
What to read after Expectation Value for the Size of Devastation Areas Produced By N Bombs?
You can find similar books in the "Read Also" column, or choose other free books by H E Robbins to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Bien If a Is suffi- ciently small we can set, without serious error, r a/B for (x, y) within the doiriain D f(x, y)=^j (_0 elsewhere.
Prom (1) It follows that (2) E^ =: B[l - (1 - |)^].
In order that Ejj ^ (1 -ao)B we must have (3) n =; log oc/log(l - |) Thus If o6 » . 05 and a/B = . 01, n ^ 300.
-5- THE OENSRAL CAT-E Since CO ff f(x, y)dx dy = a, -00 It follows from (1) that (4) E„ « na - :^(-l)^ C(n, l) 21 f^(^, 7) dx dy, ^ 1=2 ^ For "small" a and n we can make the approximation 00 * 4 00, (5...) //f^(x, y) dx dy - a^ // P (x, y) dx dy. -00 -oo Thus we obtain the approximate formula 00 (6) E„ =r na - :E (-1)^ C(n, i) a^ // p^(x, y) dx dy. ^ i«2 -00 For exanple, if 2 2 p(x, y) « l/(2Tr) e "li +-2—, then oo 1 1 // P (3c, y) dx dy = -- — -rrr -oo l(2n)^ ^ Thus n (7) E„c^ na - 51 (-1)^ C{n, l) a^ L__.
^ 1=2 i(2n)^^ = na[l - 1 Z: (-1)^ -^^ ^W-^^"^5- Y APPENDIX. THE VARIAITCE IN THE "PLAT" CASE By definition of variance.
(8) O-^^(X) = e(X - fc(X))2 « ^(X^) - £.^(X) = fc(x2) - E^ > 0, where i:(f(X)) denotes the expected value of f(X)« But since X^
What to read after Expectation Value for the Size of Devastation Areas Produced By N Bombs?
You can find similar books in the "Read Also" column, or choose other free books by H E Robbins to read onlineMoreLess
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