Abstract. Geodynamical simulations over the past decades have widely been built on quadrilateral and hexahedral finite elements. For discretization of key Stokes equation describing slow, viscous flow, most codes use either unstable Q1×P0 element, a stabilized version equal-order Q1×Q1 or more recently stable Taylor–Hood element with continuous (Q2×Q1) discontinuous (Q2×P-1) pressure. However, ...

We investigate the functional code Ch(X) introduced by G. Lachaud [10] in the special case where X is a non-singular Hermitian variety in PG(N, q2) and h = 2. In [4], F. Edoukou solved the conjecture of Sørensen [11] on the minimum distance of this code for a Hermitian variety X in PG(3, q2). In this paper, we will answer the question about the minimum distance in general dimension N , with N <...

We prove that the class of permutations generated by passing an ordered sequence 12 . . . n through a stack of depth 2 and an infinite stack in series is in bijection with an unambiguous context-free language, where a permutation of length n is encoded by a string of length 3n. It follows that the sequence counting the number of permutations of each length has an algebraic generating function. ...

In this paper, we establish some new versions of Hermite–Hadamard type inequalities for co-ordinated convex functions via q1,q2-integrals. Since the are newly proved, therefore consider examples and show their validity particular choices q1,q2∈(0,1). We hope that readers interest in these results.

The shapes of jets with transverse energies, E jet T , up to 45 GeV produced in neutral-current(NC) and charged-current (CC) deep inelastic e + p scattering (DIS) at Q 2 > 100 GeV 2 have been measured with the ZEUS detector at HERA. Jets are identiied using a cone algorithm in the ? ' plane with a cone radius of one unit. The jets become narrower as E jet T increases. The jet shapes in NC and C...

1. The choline dehydrogenase (EC 1.1.99.1) WAS SOLUBILIZED FROM ACETONE-DRIED POWDERS OF RAT LIVER MITOCHONDRIA BY TREATMENT WITH Naja naja venom. 2. The kinetics of the reaction of enzyme with phenazine methosulphate and ubiquinone-2 as electron acceptors were investigated. 3. With both electron acceptors the reaction mechanism appears to involve a free, modified-enzyme intermediate. 4. With s...

Through a method given in [3], a mixed partition of PG(2n− 1, q2) can be used to construct a (2n− 1)-spread of PG(4n− 1, q) and, hence, a translation plane of order q2n. A mixed partition in this case is a partition of the points of PG(2n− 1, q2) into PG(n− 1, q2)’s and PG(2n− 1, q)’s which we call Baer subspaces. In this paper, we completely classify the mixed partitions which generate regular...

If Q1 = Q(A2,A3), Q2 = Q(A1,A3) and Q3 = Q(A1,A2) are the quadrances of a triangle A1A2A3, then Pythagoras’ theorem and its converse can together be stated as: A1A3 is perpendicular to A2A3 precisely when Q1 + Q2 = Q3. Figure 1 shows an example where Q1 = 5, Q2 = 20 and Q3 = 25. As indicated for the large square, these areas may also be calculated by subdivision and (translational) rearrangemen...