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" # $ % & 19 What other forces might be considered, and where would they appear in the model?.

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Lemma 112 If ¿ is a topology on X and B µ ¿;. W&k Çgcgqg9g gxg g> sf· Í v/²f·c h*hk h f·4 ¾ ( 2 ¾!l » »8p ) >Ý>Ý>d>a >e>p>m>m>t>w h h h e >â h >Ü e >å h >à h h e >â h >Ý >ß >Ü >Ü>å>Þ>Ý >á >Ý>â >Þ >Ý>Þ>d>,>a>,>m>q>?>u>?h e >Ý h >àeg>Ý h >Ý h h e >â h >Þ e >ß h >Ü h >Þ >Ý >Ý>ã>Ý>Ý >ã >à >à >Ý>ß>h>_>k>*>d>a h e >à h >Ý h e >â h >Ü e >ä h >Ü h e >á h >Ü e >ä. à Ø h 2 µ h Ø µ µ ö Þ Ð Þ ¦ Þ ö Þ h o 2 µ 1 p Þ 2 µ ÿ µ h Ï 2 h Ø µ § ÿ ¦ Þ µ ® (X 4w² / 2 Ð 2 ÿ / ² H P ® µ H i Þ ö ö Ø h µ (.

For each vector u 2 V, the norm (also called the length) of u is deflned as the number kuk= p hu;ui If kuk = 1, we call u a unit vector and u is said to be normalized For any nonzero vector v 2 V, we have the unit vector v^ = 1 kvk v This process is called normalizing v Let B = u1;u2;;un be a basis of an ndimensional inner product space VFor vectors u;v 2 V, write. ½ ¦g á Üfáf¸gvgqgbg g>fúfùg"4eg µ g"0¿fáföfÔg féf¹ d q ·fþ vg h !lfôfúfÞg 'ì xfúfùh g"/ fófög g fóföfÔg féf¹gegxg gv'¼fÿf¸fä0 fû Âfèfö 8 bg / fóföfÔg féf¹ ¡ sg g g fÜfúf¸g9gmg9gxg") *ffçfïfÔ g ¨fßfÔg fófçg fÔg féf¹ f·1"8 '¼fÜ). T ô N V Õ ¹ ö " c n " ú @ ^ Â r W é Ð T ô T N ø ö å 4 ú æ Y ?107 12 31 ô W Á700,000 I á ô @ ^ Á590,261 I á ô H ^ Â r ô W é Ð ô ` W b Ì I " í D ø M Ð $ ö d " c n " ú A ( æ Y o ô M ú þ ) T ô T N ø ö.

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R î É å #è Ê b4 #è Ê ª × ½ b4 Ç Ü î ;(í b 7u(í \ M #è Ê b4 ¢ Þ ¥. N à q s ;. T ( bs Ô t 0 Åá ù ú ¼ Ô ¹xz 0 Åá ù ú ¼w t wt p Í t «PUf g & b w pK \q Ôb{ ¨ sqxz ¨z z ¨fw w Q b N MO{ ç©ç çÛÇ¢Ü ¨qxz ç©ç çÛÇ¢Üfw í>t.

M U n Þ ý ô á < J é Û U È Ä õ ú!. ¶ H { • Õ j I Õ Õ 9 q ô T , x Õ u Õ j I ô T , • U ³ u õ ³ ² Y MSJ JLI SQJ Y < 9 s ² ³. 3 If c is a v ec tor of constan ts, X c !.

SAMPLE EXAM QUESTION 2 SOLUTION (a) Suppose that X(1) < < X(n) are the order statistics from a random sample of size n from a distribution FX with continuous density fX on RSuppose 0 < p1 < p2 < 1, and denote the quantiles of FX corresponding to p1 and p2 by xp1 and xp2 respectively Regarding xp1 and xp2 as unknown parameters, natural estimators of these quantities are X(dnp. V f þ ö. MC€ TRANSLATED THEÅIGHTH”$—¸h2šXtableóummary="tocš†80%" body> 47 107 1 355 MC€ XLVI 4 €ï€ï€é HEREÂEGINNETH ENGUERRANDÄEÍONSTRELET¶ø ß–Ï ß”ª —ϗϗϘ·˜·—ϗϘO—Ï ¿¨h2 ½ ½ ¼C¥ñh2„?›jb·ˆkquotœ‘¼O™¯»ç>JAMES‚8ËING ‘pSCOTLˆ ISÍURD˜h€`NÈ€€BED³°MBERÄUR.

TYT y º < þ 9 c c 9 c • B v ´ f H ò d y , • ï C ï ï q ¦ Û / , Ü y y I Ü !. Title Microsoft Word Pre AP 8th9th Bio I Final (Semester II Spring) Author JaredSpoon Created Date 6/14/18 AM. @t = A(x) @ @x µ K0 @u @x ¶ K0 @A @x @u @x (3) and then the heat equation A(x) @u @t = k µ A(x) @2u @x2 @A @x @u @x ¶;.

V e µ þ ä á ù < l Î L ç V C Î W û 3 ` I ñ Î B O Û ü Ð > O ï M Û " Ó ô ( / Á ä á ;. "I 8 < q · 2 Ç K 6 O ^ s T >& " )>8 Ç>' è ) p% >/ w v 2 G ( w v é ) 2 #Ý >/ ¦ 2 Ç ó2 1p5 0¿*Ë ( « Ý µ É1n F·>Þ>Ü>Ý>à º ØF·F· q ·0£'ì i º v ¥ ?. C/ & f þ \ Ç ú j I à f þ \ Ç d @ W ¶ {º d @ W Ð á ô j 0 & Î @ ö!.

>r Ç µ ¡ >8 N J >' µ T Í &g K r M >2 >, A )r ,´ 5 c È î Ò b S s µ T 7 b 8 _ ö Y 8 Z 8 r M. V f þ ö Ë L ( / Ó t Á ä á ;. ¬ 0 ú õ!!!.

V 4 f þ* \ 1/3 á ã Q Ç » ¤ ù õ & ^ £ ô ­. ) 4 If A is a ma trix o f consta n ts, AX !. 1 E (X ) = µ 2 V (X ) = !.

W ;t ( bs Ô t á 8 zá 8 z z_ Á h x { w ;. » ê É C X g ¾ ¯ B » Ì ª A f Þ Ì ¡ ª » Ì Ü Ü o Ä µ Ü ¤ B. Wh«°‘¯0eror's« t©1¥éfin°Ðe ô™d§Ahª ¯à–$ˆa—‚Æ"Yµ sžØ¬p³°nkÁlmœ y‡ù,›Ä,­‰› ®cH¯Á¥P žŠµPch¶ f‡¸«A¶ ¶êž reig­ •Ÿ•Ÿ¢ ðla È°°tr (¡g·Xro‹8¶, I¥p™2– »‘®¨•ô¬ E‰ µqC­pº tinop«©–ùyself”¦•Él™ ·ÓŒPe²ð И˹à³ðš Šy’ ½ un.

– T ã M µ Z L k ã M µ Z L n F þ @ o u 250 0 150 100 50 0 1990 1995 00 05 10 15 25 30 EOCD North America OECD Europe OECD Asia NonOECD Europe & Eurasia Quadrillion Btu Year NonOECD Asia Near East Africa Central & South America T ´ ± ¬ î °. " # # # $ % & & & r v!. #è Ê t æ>Ý>Ü g ê Ê t æ>ß #è Ê t æ>Ý>Ü µ f· >Þ>Ü>Ü>á>Ú>à>Ú>å ¾ ¿.

µZ > µ~ @ µ² B Ŷ D ž F ζ H κ J gž L g¢ N g¦ P gÇ R gÓ T &(C MOBI ýéÐÛá. XB (t) − xA(t) = xB (0) − xA(0) (e)Tangent to A’s wordline will be ct axis of Σ frame and x axis will be the axis so that a light like wordline bisects the angle between the x and ct axis You can choose x = x = 0 at t = t = 0 You can choose x = x = 0 at t = t = 0 and A at x = 0 if and only if the tangent line passes through the origin. § § µ ö p 2 Þ Ð Ê § 2 ® µ ® p Ò Â Á È Â É É Ã Å Æ Ç !.

µ Ð %ss Ì 4 5 º Î 6 ¶ e § å 2 N. " c n " ú D K < p T ô T N ø ö å 4 ú < p T ô N V Õ ¹ ö " c n " ú q ø i D K Ä = T ô T N ø ö å 4 ú q ø i. Sep 29, 19 · >û>ü >ß>Ù>î 6F· J ;µ £ å%43 7 * G0G GOG5GxG G8G GeG g >á>ã>ß >Þ>á>â >ß>Ý>ã >Ý>Ý >Þ >ß>å >ß>å >à>å >ß>å >à>Þ >à>ä >á>Ý >á>à >á>á >á>á >á>Þ >á>Ü ± ¡ º v ¥ F· zF· & >Þ>Ü>Ý>å º Ø'¨>â G ` p Û#Õ0°6 F· >Þ>Ü>Ý>å º>å v>Þ>å ¥ GG GVGbG0;µ £ å%4G0G GOG5GxG ¶F·1 %4 ¶1.

N (A µ ,A !. C~f·>Þ>Ü>Þ>Ü º Ø u;. õ T c è!!.

á µ þ ü § d f o = þ p M b p =!!!!!. µ ln X= lnµ X− 1 2 σ2 lnσ 2 = ln 1 (σ X/µ X) 2 If (σ X/µ X). N (c µ ,!.

Á ü 6 6 Ä Ð ¨ ½ t § Â r d Ó § ô , â i d 9 r Ò n ö!!. Then B is a basis for ¿ if and only if 1 B2B B ¶ X 2 For all A 2 ¿ and for all x 2 A;. A!) 5 All the ma rgina ls (dime nsio n les s tha n p ) o f X ar e (m ultiv aria te) nor mal, but it is p ossible in theo ry to ha v e a collectio n o f un iva riate nor mals w ho se join t distributio n.

ò í ì ó X í î m æ Y ( þ Ó þ > Á ( þ ó í ì ó X í î B27;. Ô Û Ý µ t _ q#Ý b*ñ B u Å ¹ å « _ ö Y 8 S Û / í Û(í) b N4 v M Ê j \ ¥ A ì6ë & A # C b Z _0 l K Z 8 >& e4 &É Û%, >' r S G b Ì b p G#Ý0è9 7Á Ê;î È. ö µ ú E !!.

§ 2 ® Þ !. (4) where k = K0 c‰ is the thermal difiusivity 129 Consider a thin onedimensional rod without source of thermal energy whose lateral surface is not insulated Let w(x;t) dente the heat energy °owing out of the. µ ª ò Q " % = 3ULQFLSOHV * Ã H 1(& b 4 & ç % Í ¹ C k µ ö ¢ ò ) ( e ¥ V T ¥ k ¿ ­ Q ' A ' G I « * g a N ¬ ô b 4 e ¥ a z O N ¯ % Ì î m F ÷ Ã O * # % d ^ Ó Q w = k µ £ ÿ Q Ó $ º ­ C m F * v ­ Q J í J k µ £ ÿ k a Ä V * ¾ Ó * I L R & =.

ó­ I r T¡ I C6­ r 6 f ¡ µ¡T r f ­ Cr f Cf 7 óff r µf ­r ­> ÝC 7 Cf t ó Ô Ô­ > >óf 7 I ó C P 1fUr Ô­> ó ÔM Ir r j f ­ f ¦C ó ¡ ¦ µ­ I r ¡­ Pt óX ­C d ­ r ¦ ó ÔP óÔ ­r µ­ ó X r f 6r r Cf­óX P Hó¡­P. Á e µ þ 0 Õ ä á õ á I á ä á ô ( / Ó Á µ õ f þ Ý s @ Ì ³ { ;. There exists B 2 B with x 2 B µ A (Equivalently, for all A 2 ¿;.

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