Queries to search engines on the Web are usually short. They do not provide sufficient information for an effective selection of relevant documents. Previous research has proposed the utilization of query expansion to deal with this problem. However, expansion terms are usually determined on term co-occurrences within documents. In this study, we propose a new method for query expansion based o...

Frames for Fréchet spaces XF with respect to Fréchet sequence spaces ΘF are studied and conditions, implying series expansions in XF and X ∗ F , are determined. If {gi}i=1 is a Θ0-frame for X0, we construct a sequence {Xs}s∈N0 , Xs ⊂ Xs−1, s ∈ N, for given ΘF , respectively a sequence {Θs}s∈N0 , Θs ⊂ Θs−1, s∈N, for given XF , so that {gi}i=1 is a pre-F -frame (or F -frame) for XF with respect t...

There has been fascinating work on creating artistic transformations of images by Gatys et al. This was revolutionary in how we can in some sense alter the “style” of an image while generally preserving its “content”. In this work, we present a method for creating new sounds using a similar approach. For demonstration, we investigate two different tasks, resulting in bandwidth expansion/compres...

We firstly consider an investor faced with the classical Merton problem of optimal investment in a log-Brownian asset and a fixed-interest bond, but constrained only to change portfolio (and, if relevant, consumption) choices at times which are a multiple of h . We show that the cost of this constraint can be well described by a power series expansion in h , the first few terms of which we dete...

The Round Goby Neogobius melanostomus has spread rapidly around the Great Lakes region since its introduction to North America in 1990. In 2014, a specimen was captured New York State Canal System west of Utica, prompting concerns that would soon reach ecologically and economically valuable watersheds Lake Champlain Hudson River estuary. establishment populations elsewhere been linked number ne...

Starting from the power series expansions of (sin −1 x) q , for 1 ≤ q ≤ 4, formulae are obtained for the sum of several infinite series. Some of these evaluations involve ζ(3).