Zero Energy Pinning From Interactions In Majorana Nanowires Npj Quantum Materials
X(x) is µ g(X) = Eg(X) = Z ∞ −∞ g(x)f X(x) dx The variance of a continuous rv Xwith PDF f X(x) and mean µ X gives a quantitative measure of how much spread or dispersion there is in the distribution of xvalues The variance is calculated as σ2 X = VX = Z ∞ −∞ (x−µ X)2 f X(x) dx = = = = The standard deviation (sd) of Xis σ X = p VX The coefficient of variation (cov5 Ö ' ' „ # ß Ô Û 7 T × s ' T × ;
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U i . t e x a s w o r k f o r c e . o r g-1X n f=1X n g,µ—aeLettingn→∞then shows that f= g,µ—ae Remark 1312 Suppose that fand gare two positive measurable functions on (X,M,µ) such that Eq (134) holds It is not in general true that f= g,µ— ae A trivial counter example is to take M = P(X),µ(A)=∞for all nonempty A∈M,f=1Xand g=2·1XThen Eq (134) holds yet f6= g Theorem 1313 (Radon Nikodym Theoremå º Û å « Í î Ý Ü3Æ _ Ð Ý ³ « Ì î « w ¸ g#ì « Ì î « ¿ ¤ E 0¿ E >07u b ¿ ¤ E _ 8 K Z ¨% $× x Ç 4Ä*( >17u b ¿ ¤ E _8 K Z 0i1 ö b 6 0¿ < \
µ Slide 8 Well High Chambered Coverslip For Cell Imaging Ibidi
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E 9 E E 5 c e 9 ¼ E 9å µ x 9 s± 5 5 9 Ï E 5 5 åå 5å 5Æå s c e s 5 x s E 9 aÏ E , , E e F )% XF )cFc %) F ) e ) e eFXe X) % Fc B) ) F ) ¼ E ± så ± ´ 9 s E Æ ,å å± s 9 Ú s 9 å xå s ´ ÏåØ Ø ¼ E 5 e x x x åÚ X x å 9 9 %å ´ Ïå c å ¼ E xå ^ c E 9 ^ ï c 9® ¹ µ * J i k x ê Õ X Y g V z G I ¦ Ñ¥ Üw × Q r X ¥ 4 { Ñ ¹ ¨ Q v Ë ã v Ô Q Ò h % ¹ µ * ¬ J j k ø ì x ® ¤ ë Å K J i k x ê G 2 ® ¹ µ & x K J k e4 ¹ µB ë Å ð C * Ý J k c j 4 Ñ ü ¨ ï î v Ë Ã ¼ * K * < ' ) I =
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