Results 21 to 30 of about 3,522,972 (323)
On the Ranks and Border Ranks of Symmetric Tensors [PDF]
v1: 22 pages; v2: 23 pages, numerous small improvements; v3: final version, accepted for publication in Found.
Joseph M. Landsberg, Zach Teitler
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AbstractCombining data on around four million respondents from the Gallup World Poll and the US Daily Tracker Poll we rank 164 countries, the 50 states of the United States and the District of Colombia on eight wellbeing measures. These are four positive wellbeing measures—life satisfaction, enjoyment, smiling and being well-rested—and four negative ...
David G. Blanchflower, Alex Bryson
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A note on the gap between rank and border rank [PDF]
We study the tensor rank of the tensor corresponding to the algebra of n-variate complex polynomials modulo the dth power of each variable. As a result we find a sequence of tensors with a large gap between rank and border rank, and thus a counterexample
Zuiddam, Jeroen
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Denosumab use in osteogenesis imperfecta: an update on therapeutic approaches [PDF]
Osteogenesis imperfecta (OI) is an inherited skeletal disorder that leads to bone fragility and multiple fractures. Given advances in the genetic understanding of existing phenotypes and newly discovered mutations, therapeutic management of OI has become
Fatma Majdoub+5 more
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To Rank or Not to Rank with Indices? That Is the Question [PDF]
Ranking countries via index-based league tables is now commonplace and is said by its proponents to provide countries with an ability to compare performance with their peers, spurring them to learn from others and make improvements. The Human Development Index (HDI) is arguably one of the most influential indices of its type in terms of reporting ...
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Kapranov rank vs. tropical rank [PDF]
We show that determining Kapranov rank of tropical matrices is not only NP-hard over any infinite field, but if solving Diophantine equations over the rational numbers is undecidable, then determining Kapranov rank over the rational numbers is also undecidable.
F. W. Roush, Ki Hang Kim
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Robust SAR Image Registration Using Rank-Based Ratio Self-similarity
Synthetic aperture radar (SAR) images in different polarizations or from different sensors are becoming easily available, but registering these images is challenging because of the presence of significant speckles in SAR images and the existence of ...
Xin Xiong+3 more
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Cooperative effects enhance the transport properties of molecular spider teams [PDF]
Molecular spiders are synthetic molecular motors based on DNA nanotechnology. While natural molecular motors have evolved towards very high efficiency, it remains a major challenge to develop efficient designs for man-made molecular motors.
Frey, Erwin+2 more
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Ranks and symmetric ranks of cubic surfaces [PDF]
We study cubic surfaces as symmetric tensors of format $4 \times 4 \times 4$. We consider the non-symmetric tensor rank and the symmetric Waring rank of cubic surfaces, and show that the two notions coincide over the complex numbers. The corresponding algebraic problem concerns border ranks. We show that the non-symmetric border rank coincides with the
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Research rankings based on publications and citations today dominate governance of academia. Yet they have unintended side effects on individual scholars and academic institutions and can be counterproductive. They induce a substitution of the taste for science by a taste for publication.
Frey, Bruno S, Osterloh, Margit
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