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We develop theory that shows how the singular value decay of a matrix ΦA that is a product of a convolution operator Φ and an arbitrary matrix A depends in a linear fashion on the singular value decays of Φ and A. We propose gap-rank, a measure of the relative numerical rank of a matrix.
Here, we develop theory that specifically includes this decay.
Like these researchers, our methodological starting point was Turner's (1980) theory of social explanation, according to which understanding of social phenomena proceeds through comparison—examining how findings from individual studies are similar or different, and seeking to understand the reasons for differences to develop theory that goes beyond the immediate research contexts.
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Merton H. Miller, a professor of finance who won the 1990 Nobel in economic science for helping develop theories that were used to evaluate the risks of individual investments, died yesterday at his home in Chicago.
If we are truly educating our youth to be active citizens in a democracy who can think for themselves, teaching must encourage students to grapple with multiple perspectives, ask provocative questions and develop theories that can be supported with evidence.
These various effects have been the focus of efforts to develop theories that are theories of desire.
However he went on to develop theories that reshaped the way the world thinks about black holes, stars and the universe.
We should retain theories that are in trouble, and invent and develop theories that contradict the observed phenomena, just because in doing so we will be respecting the intellectual ideal of testability.
Many efforts have been devoted to develop theories that explain changes or adherence to specific health behaviors.
Researchers of joint cognitive systems have began to develop theories that incorporate a complexity perspective into the understanding of medical failure and success [ 23].
2 From a theoretical viewpoint, the crisis provides an excellent opportunity to revisit and further develop theories that explain the role of exits in VC contracting (Black and Gilson, 1998; Aghion, Bolton, and Tirole, 2004) and predict the stage distribution of private equity investments (Gompers, 1995; Cumming, Fleming, and Schwienbacher, 2005, 2009).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com