It is shown how to define difference equations on particular lattices {xn}, n ∈ Z, where the xns are values of an elliptic function at a sequence of arguments in arithmetic progression (elliptic lattice). Solutions to special difference equations (elliptic Riccati equations) have remarkable simple (!) interpolatory continued fraction expansions. 1. Difference equations and lattices. Simplest di...

Room temperature, light induced (P700(+)-P700) Fourier transform infrared (FTIR) difference spectra have been obtained using photosystem I (PS I) particles from Synechocystis sp. PCC 6803 that are unlabeled, uniformly (2)H labeled, and uniformly (15)N labeled. Spectra were also obtained for PS I particles that had been extensively washed and incubated in D(2)O. Previously, we have found that ex...

Using a class of permutation polynomials of F32h+1 obtained from the Ree–Tits slice symplectic spreads in PG(3,32h+1), we construct a family of skew Hadamard difference sets in the additive group of F32h+1 . With the help of a computer, we show that these skew Hadamard difference sets are new when h= 2 and h = 3. We conjecture that they are always new when h > 3. Furthermore, we present a varia...

background the aim of the present study was to compare two analgesic techniques for transrectal ultrasound (trus)-guided biopsy: diclofenac patch versus periprostatic nerve block with 1% lidocaine. objectives to study the efficacy of and compare diclofenac patch and periprostatic nerve block as analgesia in trus-guided prostate needle biopsy. patients and methods in total, 60 patients were pros...

and Applied Analysis 3 andX E = x−uΔt (similarly we see thatX E = x−2uΔt for the two-step methods). In (7) with X being replaced by X E , we have φ n+1 − φ n (x − uΔt) Δt − νΔφ n+1 = f n+1 . (9) On the other hand, (9) can be derived by MMOC [5]. In fact, with u = (u 1 , u 2 ), let s denote the direction vector (1, u 1 , u 2 ), and define the operator d ds := 1 θ ( ∂ ∂t + u ⋅ ∇) , (10) with θ(x,...

Article history: Received 27 June 2013 Received in revised form 22 January 2014 Accepted 25 March 2014 Available online 2 April 2014

Fractional-order diffusion equations are viewed as generalizations of classical diffusion equations, treating super-diffusive flow processes. In this paper, in order to solve the fractional advection-diffusion equation, the fractional characteristic finite difference method is presented, which is based on the method of characteristics (MOC) and fractional finite difference (FD) procedures. The ...

California, Berkeley; and Senior Fellow, Hoover Institution, and Ward C. Krebs Family Professor and Chair, Department of Political Science, Stanford University. The authors thank Maite Careaga, Scott Gehlbach, John Litwack, Douglass North, Yingyi Qian, and Daniel Treisman for helpful comments. Pathologies of Federalism, Russian Style: Political Institutions and Economic Transition Rui J. P. de ...