Download e-book for iPad: An analytic counterexample to the KAM theorem by Bessi U.

By Bessi U.

Show description

Read or Download An analytic counterexample to the KAM theorem PDF

Best analytic books

New PDF release: Using Mass Spectrometry for Drug Metabolism Studies

The 1st version of this now vintage paintings helped to set up mass spectrometry because the ideal instrument for drug metabolism experiences. thoroughly rewritten from begin to end, utilizing Mass Spectrometry for Drug Metabolism reviews, moment version brings medicinal chemists and mass spectrometry execs on top of things with the swift advances within the box, the emergence of state-of-the-art ways, and how one can meet gradually expanding seller calls for.

Download e-book for kindle: Advances in Kinetics and Mechanism of Chemical Reactions by Gennady E. Zaikov, Artur J. M. Valente, Alexei L. Iordanskii

Advances in Kinetics and Mechanism of Chemical Reactions describes the chemical physics and/or chemistry of ten novel fabric or chemical platforms. those ten novel fabric or chemical structures are tested within the context of assorted matters, together with constitution and bonding, reactivity, shipping homes, polymer homes, or organic features.

Download e-book for iPad: The Immunoassay Handbook. Theory and Applications of Ligand by David Wild

The fourth variation of The Immunoassay guide offers a superb, completely up to date advisor to the technological know-how, expertise and functions of ELISA and different immunoassays, together with a wealth of sensible recommendation. It incorporates a wide selection of equipment and offers an perception into the newest advancements and purposes in medical and veterinary perform and in pharmaceutical and existence technological know-how learn.

Get Nuclear Magnetic Resonance Spectroscopy: A Physiocochemical PDF

Presents a unified account of NMR spectroscopy. Nuclear Magnetic Resonance Spectroscopy explains the NMR phenomenon from the viewpoint of a actual chemist drawn to either primary ideas and chemical functions. This rigorous yet lucid textual content is highlighted via a great number of figures together with illustrative spectra.

Extra info for An analytic counterexample to the KAM theorem

Example text

If the ratio of Dn/J might not be large enough before, it is large enough now. Therefore, the 1 H spectra can be interpreted as the first-order spectra in almost each case, that is, the spectra can be analyzed by using the n þ 1 rule. Of course, we should also pay attention to the second condition mentioned above, that is, magnetic equivalence. When we apply the n þ 1 rule, the nuclei group, which has the number of n, should have the same coupling constant. If they have different coupling constants, the n þ 1 rule should be applied several times.

2 for the calculation of the chemical shift values of a substituted benzene. T. 4 CH I 2. The relationship between the size of the substituent and the chemical shift value of the substituted carbon atom The larger the size of the substituent, the greater the increment in the chemical shift of the substituted carbon atom. In the following series, the chemical shift of the carbon atom marked at its upper-left with “Ã ” increases from the left side to the right side. Interpretation of 13C NMR Spectra 45 R----*CH3 ; R----*CH2 CH3 ; R----*CH2 CH2 CH3 ; R----*CH2 CHðCH3 Þ2 ; R----*CH2 CðCH3 Þ3 : This phenomenon can be explained as follows.

If a group of magnetically equivalent nuclei is split by several long-range coupling constants, the coupled splittings of the peak set of the group will not be clear. As a result, it is difficult to find the coupled splittings from related long-range coupling constants. To sum up, in a peak set, we find out first one or several equal distances, with every distance obtained from equally spaced peaks. Therefore, we can know by how many coupling constants the peak set is split. Then, we will find equal distances from related coupled peak sets.

Download PDF sample

An analytic counterexample to the KAM theorem by Bessi U.

by Michael

Rated 4.53 of 5 – based on 35 votes