In the estimation of very small q-qantities of material there is no question that colorimetric is preferable to gravimetric analysis. The colorimetric method is generally quicker and simpler to carry out-an important factor when numerous analyses are involvedand it is not subject to the manipulative errors incurred in dealing gravimetrically with minute amounts of material. The method, however,...

The metal-organic framework MOF-5 has attracted significant attention due to its ability to store large quantities of H2 by mass, up to 10 wt.% absolute at 70 bar and 77 K. On the other hand, sinceMOF-5 is typically obtained as a bulk powder, it exhibits a lowvolumetric density andpoor thermal conductivitydboth ofwhichareundesirable characteristics for ahydrogen storage material. Here we explor...

1 2 Contents 0. One-variable calculus 1. The derivative 2. Inverse function and implicit function theorem 3. Fundamental local existence theorem for ODE 4. The Riemann integral in n variables 5. Integration on surfaces 6. Differential forms 7. Products and exterior derivatives of forms 8. The general Stokes formula 9. The classical Gauss, Green, and Stokes formulas 10. Holomorphic functions and...

Infrared fixed points in the minimal supersymmetric standard model with baryon and lepton number violation were studied and their structure elucidated by us in Physical Review D 63 076008 (2001). Here we reply to a comment on this paper. We emphasize that our paper concentrates on the case of the only true infrared fixed point in the model, i.e. the stable nontrivial fixed point for the topand ...

Abstract: In this article, we discuss the existence and uniqueness of solution to nonlinear fractional order ordinary differential equations ( Dα − ρtDβ ) x(t) = f (t, x(t), Dγx(t)) , t ∈ (0, 1) with boundary conditions x(0) = x0, x(1) = x1 or satisfying the initial conditions x(0) = 0, x′(0) = 1 where D denotes Caputo fractional derivative, ρ is constant, 1 < α < 2 and 0 < β + γ ≤ 1. Schaurder...

Wear is currently quantified as mass loss of the bearing materials measured using gravimetric methods. However, this method does not provide other information, such as volumetric loss or surface deviation. In this work, we validated a technique to quantify polyethylene wear in three different batches of ultrahigh-molecular-polyethylene acetabular cups used for hip implants using nondestructive ...