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24 Oct 2016: Suppose that B is an orthonormal basis of some space T L2(R) (i.e. ... Then we have, for some constants C1,C2 > 0,. C1 logd1(N 1).

10 Jun 2016: b(h)| = o(h), for n some unit vector. ... they are not connected. This allows for some useful constructions, for example (these.

21 Jan 2016: N}, where N N is some fixed number. This raises the question followingquestion: how large must N be? ... U, M and ||. Proof. First let m = cN for some 0 < c < 1.

21 Jan 2016: N}, where N N is some fixed number. This raises the question followingquestion: how large must N be? ... U, M and ||. Proof. First let m = cN for some 0 < c < 1.

6 Nov 2016: iii. -0.2 Acknowledgements. iv. -0.1 Some History and Culture. iv. 0 Revision v. ... 45. 3.5.1 Matrix notation. 46. 3.5.2 Examples (including some important definitions of maps).

8 Mar 2016: during the past 20 years. However, there are still some unresolved issues or mysteries:. • ... 2σi , Ki =. i. 2σi. χ̄α̇ : (A, B) =. (. 0,1. 2. ). = Ji =1. 2σi , Ki =. i. 2σi. Some useful identities concerning the σµ and σµν can be found on

18 Feb 2016: by some criteria, with nonmonotonic potential-vorticity. gradients (e.g., Dowling and Ingersoll 1989; Read et al. ... produce realistic weather-layer structures in our model. Section 8 presents some concluding remarks and sug-.

2 Oct 2016: onl. y. POLYMER CONSTITUTIVE EQUA nONS 175. Some constitutive equations are purely empirical. ... The Oldroyd-B model has been popular lately for numerical calculations. because of "Boger fluids." Boger (1977) synthesized some fluids that were presumed

12 Aug 2016: R55 (note all have a non-zero shift s and some also a non-zero integer m). ... Toexplore this a little, we carried out some branch continuation (see Appendix) on therecurrent flows extracted from the series A DNSs while the runs and analysis for