Dual M-Z interferometer is the sensitive element of three-component acceleration seismic geophone, while Y branch waveguide is the basic optical components composed of dual M-Z interferometer, so the design of Y branch waveguide directly affects the performance of threecomponent acceleration seismic geophone. Firstly, branch waveguide and S-shaped bent waveguide are introduced, and symmetrical ...

#include #include void nag_hier_mixed_init (Nag_OrderType order, Integer n, Integer ncol, const double dat[], Integer pddat, const Integer levels[], const double y[], const double wt[], const Integer fixed[], Integer lfixed, Integer nrndm, const Integer rndm[], Integer lrndm, Integer *nff, Integer *nlsv, Integer *nrf, double rcomm[], Integer lrcomm, Integer icomm[], Integer l...

Given two manifolds X and Y, the topological concept double fibration defines two integral Radon transforms R: Cf(X)^ C°°(Y) and R': C^r")-» C °°(X). For every x e X the double fibration specifies submanifolds of Y, Gx, all diffeomorphic to each other. For g E C °°( Y), x £ X, the transform R 'g(x) integrates g over Gx in a specified measure. Let k be the codimension of Gx in Y. Under the Bolke...

σλ = |c T λi+j−i(Q− Fl+i−λi)|1≤i,j≤k. These determinants are variations of Schur polynomials, which we will call double Schur polynomials and denote sλ(x|y), where the two sets of variables are x = (x1, . . . , xk) and y = (y1, . . . , yn). (Here k ≤ n, and the length of λ is at most k.) Setting the y variables to 0, one recovers the ordinary Schur polynomials: sλ(x|0) = sλ(x). In fact, sλ(x|y)...

For a connected graph G of order n, a set S of vertices is called a double geodetic set of G if for each pair of vertices x, y in G there exist vertices u, v ∈ S such that x, y ∈ I[u, v]. The double geodetic number dg(G) is the minimum cardinality of a double geodetic set. Any double godetic of cardinality dg(G) is called dg-set of G. The double geodetic numbers of certain standard graphs are o...

References [1] T. Gao, T. Y. Li, M. Wu. Algorithm 846: MixedVol: a software package for mixed-volume computation. ACM Trans. Math. Softw., 31(4):555-560, 2005. [2] J. Verschelde. Algorithm 795: PHCpack: A general-purpose solver for polynomial systems by homotopy continuation. ACM Trans. Math. Softw., 25(2):251– 276, 1999. http://www.math.uic.edu/ ̃jan/download.html. 3. Using phcpy >>> from phcpy...

Given the positive real numbers x and y, let A(x, y), G(x, y), and I(x, y) denote their arithmetic mean, geometric mean, and identric mean, respectively. It is proved that for p ≥ 2, the double inequality αA(x, y) + (1− α)G(x, y) < I(x, y) < βA(x, y) + (1− β)G(x, y) holds true for all positive real numbers x 6= y if and only if α ≤ ( 2 e )p and β ≥ 23 . This result complements a similar one est...

We classify normal supersingular K3 surfaces Y with total Milnor number 20 in characteristic p, where p is an odd prime that does not divide the discriminant of the Dynkin type of the rational double points on Y .

BACKGROUND During atrial flutter, double potentials may be recorded at specific sites in the atria. It has been suggested that double potentials represent sequential activations at the center of the reentrant circuit. An alternative hypothesis is that double potentials represent electrical activity in an area of slow conduction. Understanding their mechanism is important because double potentia...

The double beta decay of 100Mo to the 01 and 2 + 1 excited states of 100Ru is studied using the NEMO 3 data. After the analysis of 8024 h of data the half-life for the two-neutrino double beta decay of 100Mo to the excited 01 state is measured to be T (2ν) 1/2 = [5.7 +1.3 −0.9(stat)±0.8(syst)]·10 y. The signal-to-background ratio is equal to 3. Information about energy and angular distributions...