Datasets obtained by viscometry of Fuji 1707 basalt at a pressure of one atmosphere (Ishibashi, 2009) were analyzed by using the Bingham fluid model, and both the yield stress (τy) and Bingham viscosity (ηB) were determined. The relation between ηB and the crystallinity (Φ) was compared with the Krieger-Dougherty equation, and both the maximum packing fraction of crystals (Φm) and intrinsic vis...

Write Θ for the stable character associated to a finite dimensional representation E of a connected real reductive group G. Let M be the centralizer of a maximal torus T , and denote by ΦM (γ,Θ ) Arthur’s extension of |D M (γ)| 1 2Θ(γ) to T (R). In this paper we give a simple explicit expression for ΦM (γ,Θ ), when γ is elliptic in G.

We define generalized (preference) domains D as subsets of the hypercube {−1, 1}, where each of the D coordinates relates to a yes-no issue. Given a finite set of n individuals, a profile assigns each individual to an element of D. We prove that the outcome of issue-wise majority voting φm belongs to D at any profile where φm is well-defined if and only if this is true when φm is applied to any...

We present an O(N log N) algorithm for the calculation of the first N coefficients in an expansion of an analytic function in Legendre polynomials. In essence, the algorithm consists of an integration of a suitably weighted function along an ellipse, a task which can be accomplished with Fast Fourier Transform, followed by some post-processing. The mathematical underpinning of this algorithm is...

Data from SABLES98 experimental campaign have been used in order to study the influence of stability (from weak to strong stratification) on the flux-profile relationships for momentum, φm, and heat, φh. Measurements from 14 thermocouples and 3 sonic anemometers at three levels (5.8, 13.5 and 32 m) for the period from 10 to 28 September 1998 were analysed using the framework of the local-scalin...

Twisted ind-Grassmannians are ind-varieties G obtained as direct limits of Grassmannians G(rm, V m), for m ∈ Z>0, under embeddings φm : G(rm, V m) → G(rm+1, V m+1) of degree greater than one. It has been conjectured in [PT] and [DP] that any vector bundle of finite rank on a twisted ind-Grassmannian is trivial. We prove this conjecture under the assumption that the ind-Grassmannian G is suffici...

A. In this paper, by applying the first variation formula of f -bi-energy given in [OND], we study f -biharmonic maps between doubly warped product manifolds M ×(μ,λ) N. Under imposing existence condition concerning proper f -biharmonic maps, we derive f -biharmonicity’s characteristic equations for the inclusion maps: iy0 : (M, g) → (M ×(μ,λ) N, ḡ), ix0 : (N, h) → (M ×(μ,λ) N, ḡ) and th...

Multidimensional configurations with Minkowski external space-time and a spherically symmetric global monopole in extra dimensions are discussed in the context of the brane world concept. The monopole is formed with a hedgehog-like set of scalar fields φi with a symmetry-breaking potential V depending on the magnitude φ2 = φiφi . All possible kinds of globally regular configurations are singled...

Flow disturbances are generated inside a duct via pulsed injection of helium into a flow of air. This leads to the generation of an acoustic pulse (direct noise), as well as the production of entropic and compositional inhomogeneities which are convected with the mean flow. As these inhomogeneities are convected through a choked nozzle, they generate indirect noise. The resulting acoustic press...

the srk two-parameter cubic equation of state has been used for the calculation of the equilibrium constant using the liquid and vapor fugacity coefficients for three binary mixtures. dew and bubble points have been determined using the equilibrium constants and the phase envelope has been plotted showing dearly that retrograde condenstaion occurs. the following percent deviations have been obt...