4,451 research outputs found
Synthesis and anti-hepatitis C virus activity of novel ethyl 1H-indole-3-carboxylates in vitro.
A series of ethyl 1H-indole-3-carboxylates 9a(1)(-)(6) and 9b(1)(-)(2) were prepared and evaluated in Huh-7.5 cells. Most of the compounds exhibited anti-hepatitis C virus (HCV) activities at low concentration. The selectivity indices of inhibition on entry and replication of compounds 9a(2) (>10; >16.7) and 9b(1) (>6.25; >16.7) were higher than those of the other evaluated compounds, including the lead compound Arbidol (ARB, 6; 15). Moreover, the selective index of inhibition on entry of compound 9a(3) (>6.25) was higher than that of ARB (6). Of these three initial hits, compound 9a(2) was the most poten
Preliminary catalog of pictures taken on the lunar surface during the Apollo 15 mission
Catalog of all pictures taken from lunar module or lunar surface during Apollo 15 missio
Hamiltonian Formulation of Mimetic Gravity
The Hamiltonian formulation of Mimetic Gravity is formulated. Although there
are two more equations than those of general relativity, these are proved to be
the constraint equation and the conservation of energy-momentum tensor. The
Poisson brackets are then computed and closure is proved. At the end,
Wheeler-DeWitt equation was solved for a homogeneous and isotropic universe.
This was done first for a vanishing potential where agreement with the dust
case was shown, and then for a constant potential
Multilevel refinable triangular PSP-splines (Tri-PSPS)
A multi-level spline technique known as partial shape preserving splines (PSPS) (Li and Tian, 2011) has recently been developed for the design of piecewise polynomial freeform geometric surfaces, where the basis functions of the PSPS can be directly built from an arbitrary set of polygons that partitions a giving parametric domain. This paper addresses a special type of PSPS, the triangular PSPS (Tri-PSPS), where all spline basis functions are constructed from a set of triangles. Compared with other triangular spline techniques, Tri-PSPS have several distinctive features. Firstly, for each given triangle, the corresponding spline basis function for any required degree of smoothness can be expressed in closed-form and directly written out in full explicitly as piecewise bivariate polynomials. Secondly, Tri-PSPS are an additive triangular spline technique, where the spline function built from a given triangle can be replaced with a set of refined spline functions built on a set of smaller triangles that partition the initial given triangle. In addition, Tri-PSPS are a multilevel spline technique, Tri-PSPS surfaces can be designed to have a continuously varying levels of detail, achieved simply by specifying a proper value for the smoothing parameter introduced in the spline functions. In terms of practical implementation, Tri-PSPS are a parallel computing friendly spline scheme, which can be easily implemented on modern programmable GPUs or on high performance computer clusters, since each of the basis functions of Tri-PSPS can be directly computed independent of each other in parallel
A Note on a "Square-Root Rule" for Reinsurance
In previous work, the current authors derived a mathematical expression for the optimal (or "saturation") number of reinsurers for a given number of primary insurers (see Powers and Shubik, 2001). In the current paper, we show analytically that, for large numbers of primary insurers, this mathematical expression provides a "square-root rule"; i.e., the optimal number of reinsurers in a market is given asymptotically by the square root of the total number of primary insurers. We note further that an analogous “fourth-root rule” applies to markets for retrocession (the reinsurance of reinsurance).Primary insurance, Reinsurance, Market size, Square-root rule
General Relativistic 1+3 Orthonormal Frame Approach Revisited
The equations of the 1+3 orthonormal frame approach are explicitly presented
and discussed. Natural choices of local coordinates are mentioned. A
dimensionless formulation is subsequently given. It is demonstrated how one can
obtain a number of interesting problems by specializing the general equations.
In particular, equation systems for ``silent'' dust cosmological models also
containing magnetic Maxwell fields, locally rotationally symmetric spacetime
geometries and spatially homogeneous cosmological models are presented. We show
that while the 3-Cotton--York tensor is zero for Szekeres dust models, it is
nonzero for a generic representative within the ``silent'' class.Comment: 41 pages, uufiles encoded postscript file, submitted to Phys. Rev.
Cosmological Relativity: A General-Relativistic Theory for the Accelerating Expanding Universe
Recent observations of distant supernovae imply, in defiance of expectations,
that the universe growth is accelerating, contrary to what has always been
assumed that the expansion is slowing down due to gravity. In this paper a
general-relativistic cosmological theory that gives a direct relationship
between distances and redshifts in an expanding universe is presented. The
theory is actually a generalization of Hubble's law taking gravity into account
by means of Einstein's theory of general relativity. The theory predicts that
the universe can have three phases of expansion, decelerating, constant and
accelerating, but it is shown that at present the first two cases are excluded,
although in the past it had experienced them. Our theory shows that the
universe now is definitely in the stage of accelerating expansion, confirming
the recent experimental results
Optimal cooperation-trap strategies for the iterated Rock-Paper-Scissors game
In an iterated non-cooperative game, if all the players act to maximize their
individual accumulated payoff, the system as a whole usually converges to a
Nash equilibrium that poorly benefits any player. Here we show that such an
undesirable destiny is avoidable in an iterated Rock-Paper-Scissors (RPS) game
involving two players X and Y. Player X has the option of proactively adopting
a cooperation-trap strategy, which enforces complete cooperation from the
rational player Y and leads to a highly beneficial as well as maximally fair
situation to both players. That maximal degree of cooperation is achievable in
such a competitive system with cyclic dominance of actions may stimulate
creative thinking on how to resolve conflicts and enhance cooperation in human
societies.Comment: 5 pages including 3 figure
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