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By Y. Waseda

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Additional info for Novel Appln of Anomalous (Resonance) X-ray Scattering for Structural Characterization of Disordered Mtls

Example text

An U\CflMon of our bMsk Intui tion We may then ask. whether we cannot, by a rehnement of our geometric mtultloo, furnish our SClCnliric Invcstigatlon With a stock of Ideas and procedures subtle enough to give satisfactory quahtauve representallOns to partial phenomena. e one pOInt: we can now present quahtative rcsulill in a rigorous way. thanks to recent prog~1 in topology and dlfferenual analysis. for we know how to define a/or", and ca n detenmne whether two functions have or have not the same form or lopologscal type.

Lor eu .. chmll .... Thto caDCioclmu is jAuNbIJ lOt _"'nllal. -bk· ('n~Jli&ibk) and _ 1. lYnJOII ... _to. problnn of 101""1 "I' a 'h '"101 proof_ """"II ",erdy valid &ad, ,. IYrulNiar, 01 inlllblibioo .... ,.. u.... 10 1M llaru ... pOUII and wlucll Ire liable lor ·..... WIne a"",,,,,,,,,11 10 g ... , Lnl\lll>Oft~~ Q. K~l and J. , E~II II! _'irI# /At ... ,>). NDnh. llofland, 1967. p 217. RU' EHEN C E III e. c. an. ,... M /JIM . M~ u. ,. Mil MrrIidM. 1. TIlE GENERAL PROBLEM A. Continuous families and blfurcalaoa The Circu mstances 10 which structural stability enters II thoory can be descnbed.

1 the P""" 01. lJUrumai dO$tortJou. ,. of FOmetty dacnba adeq ... hly of space. w. miJln oay. in tlti. K" .... WI ~'I)' Is 4~ """I<. I should lik. lale. _~rw: .. ~\olll wt il iJ ",~fut. pornclty1 t,,,. "'lI><'. S. ,... o probably. oIot>tal 0IIJIn. n .... Uy tlt>doptd 00 .. 1 tlt"IiVial bel"P ~I play alup: ....... II p""y or prtOdaton.. aJ equilibrium; b)" """tr••!. an i""DlDIIte ohj«' uala only a J'ISI'DI stance. """vaI 6. D'A. W. "Thonop$Oll, 0.. 'h "NI Press. t96 l. "". 72_73. J 1"_. , abridccd tOdition.

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Novel Appln of Anomalous (Resonance) X-ray Scattering for Structural Characterization of Disordered Mtls by Y. Waseda


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