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Title Microsoft Word ATSTP class descriptions and notes Author SHAWNBODKIN Created Date PM• Many things actually are normally distributed, orTitle licoccs03indd Author deborahjdunn Created Date PM
Title Microsoft Word CANZUS survey 2 NZ standalone Oct 21docx Author symonsk2 Created Date AM Z Z Á µ Z o Z X } u ò í ð X ï ð ì X ò ó ó ô µ , o Z r } o µ u µ ð ð ì ì E X , P Z ^ X ^ µ ï ì ì } o µ u µ U K Z } ð ï î í ð W Z } v W ò í ð X î õ õ X î ð ï ó Æ X ð í ì ñTitle Microsoft Word GetFood RFI 51 Author RecksonM019 Created Date 5/1/ PM
D } Á v } ( d À } v U Z Z } / o v d } Á v } µ v o D v P EKd/ v ' E Z P µ o D v P W D } v Ç U K } î ñ U î ì î í ó W ì ì X u X(c) For the spin model, E = −(n1−n2)µH whereas M = (n1−n2)µThus, M = −E H Use the result of part (a), we get M = Nµtanh µH kBT 33 Spin Systems in aMagnetic Field Reif §33 Consider two spin systems A and A′ placed in an ecternal field H System A consists of N weakly interacting localized particles of spin 1 2P(µ σ ≤ X ≤ µ σ) = 66 • About 95% of cases lie within 2 standard deviations of the mean, that is P(µ 2σ ≤ X ≤ µ 2σ) = 9544 Normal distribution Page 1 II Why is the normal distribution useful?
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Lebesgue measure • page two That is, every subset of R has Lebesgue outer measure which satisfies properties (1)–(3), but satisfies only part of property (4) Examples of disjoint sets A and B for which µ∗(A ∪ B) 6= µ∗(A) µ∗(B) seem at first a bit bizarreSuch an example is given below} u µ } X D µ } u P } u µ v } z z z z z z ~ í ð u µ } v Z } U u } v } u u } v Y 2XYH R iXGLREd î î ì µ o µ o v Z } } o } P Ç ï '>^d î õ ì µ o µ o v Z } } o } P Ç ï Z î ô ñ & o P Z rD µ o r v P v í s/ ð ð ì s/ î Æ Æ í
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