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The geodesic as well as the geodesic deviation equation for impulsive gravi-tational waves involve highly singular products of distributions (θδ, θ 2 δ, δ 2). A solution concept for these equations based on embedding the distributional metric into the Colombeau algebra of generalized functions is presented. Using a universal regularization procedure we… (More)

- R Steinbauer, J A Vickers
- 2006

In this paper we review the extent to which one can use classical distribution theory in describing solutions of Einstein's equations. We show that there are a number of physically interesting cases which cannot be treated using distribution theory but require a more general concept. We describe a mathematical theory of nonlinear generalised functions based… (More)

Ribosome biogenesis is tightly linked to cellular growth. A crucial step in the regulation of ribosomal RNA (rRNA) gene transcription is the formation of the complex between RNA polymerase I (Pol I) and the Pol I-dependent transcription factor Rrn3p. We found that TOR inactivation leads to proteasome-dependent degradation of Rrn3p and a strong reduction in… (More)

All nuclear RNA polymerases are phosphoprotein complexes. Yeast RNA polymerase I (Pol I) contains approximately 15 phosphate groups, distributed to 5 of the 14 subunits. Information about the function of the single phosphosites and their position in the primary, secondary and tertiary structure is lacking. We used a rapid and efficient way to purify yeast… (More)

We construct a diffeomorphism invariant (Colombeau-type) differential algebra canonically containing the space of distributions in the sense of L. Schwartz. Employing differential calculus in infinite dimensional (convenient) vector spaces, previous attempts in this direction are unified and completed. Several classification results are achieved and… (More)

Let {Φ n } n∈N 0 and { Φ n } n∈N 0 be such systems of orthonormal polynomials on the unit circle that the recurrence coefficients of the perturbed polynomials Φ n behave asymptotically like those of Φ n. We give, under weak assumptions on the system {Φ n } n∈N 0 and the perturbations, comparative asymptotics as for Φ * n (z)/Φ * n (z) etc., Φ * n (z) := z n… (More)

- Robert W. Renn, Robert Steinbauer, Robert Taylor, Daniel Detwiler
- 2015

a r t i c l e i n f o a b s t r a c t We hypothesized and tested a model where mentor career support predicts college student career planning, job search intentions, and self-defeating job search behavior via student career self-efficacy. Using survey responses collected at two points in time from college students near graduation who were mentored by… (More)