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Divisibility in Grassmann algebra

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Hidden, entangled and resonating order

In condensed matter systems, the atoms, electrons or spins can sometimes arrange themselves in ways that result in unexpected properties but that cannot be detected by conventional experimental probes. Several historical and contemporary examples of such h ...

NATURE PUBLISHING GROUP2020

Between Hospitality and Inhospitality: The Janus-Faced 'Arrival Infrastructure'

Luca Giovanni Pattaroni, Guillaume Simon Joseph Drevon, Maxime Carl Felder, Marie Hannah Florence Trossat, Joan Stavo-Debauge

Although ‘arrival infrastructure’ is central to the experience of migrants arriving in a new city, is it sufficient to form a ‘hospitable milieu’? Our article compares newcomers’ experiences with ‘arrival infrastructure’ in two European cities: Brussels an ...

2020

Degradation of plastic materials into terephthalic acid (tpa), ethylene glycol and/or other monomers that form the plastic materials

Berend Smit, Kyriakos Stylianou, Christopher Patrick Ireland, Samantha Lynn Anderson

The invention relates to a method for degradation of plastic materials into terephthalic acid (TPA)and/or ethylene glycol and/or other monomers that form the plastic materials. ...

2020

New Results in Integer and Lattice Programming

Christoph Hunkenschröder

An integer program (IP) is a problem of the form

\min \{f(x) : \, Ax = b, \ l \leq x \leq u, \ x \in \Z^n\}

, where

A \in \Z^{m \times n}

b \in \Z^m

l,u \in \Z^n

, and

f: \Z^n \rightarrow \Z

is a separable convex objective function. The problem o ...

EPFL2020

Einstein-Cartan gravity, matter, and scale-invariant generalization

Mikhail Chapochnikov, Andrey Shkerin, Inar Timiryasov, Sebastian Zell

We study gravity coupled to scalar and fermion fields in the Einstein-Cartan framework. We discuss the most general form of the action that contains terms of mass dimension not bigger than four, leaving out only contributions quadratic in curvature. By res ...

Springer Nature2020

Tolerancing the surface form of aspheric microlenses manufactured by wafer-level optics techniques

Toralf Scharf, Wilfried Noell, Jeremy Béguelin

Tolerancing is an important step toward the fabrication of high-quality and cost-effective lens surfaces. It is critical for wafer-level optics, when up to tens of thousands microlenses are fabricated in parallel and whose surfaces cannot be formed individ ...

OPTICAL SOC AMER2020

Wanted: A standard for virtual patent marking

Gaétan Jean A de Rassenfosse, Kyle William Higham

Patent marking is used by patentees to provide a form of notice to the public about the existence of a patent and can increase damages awarded in cases of infringement. Historically, marking is done by listing the associated patents on the product they cov ...

OXFORD UNIV PRESS2020

The index of singular zeros of harmonic mappings of anti-analytic degree one

Robert Gerhard Jérôme Luce

We study harmonic mappings of the form , where h is an analytic function. In particular, we are interested in the index (a generalized multiplicity) of the zeros of such functions. Outside the critical set of f, where the Jacobian of f is non-vanishing, it ...

TAYLOR & FRANCIS LTD2021

Many touchings force many crossings

János Pach

Given n continuous open curves in the plane, we say that a pair is touching if they have finitely many interior points in common and at these points the first curve does not get from one side of the second curve to its other side. Otherwise, if the two cur ...

ACADEMIC PRESS INC ELSEVIER SCIENCE2019

What is the 'spectral diet' of humans?

Marilyne Andersen, Forrest Simon Webler, Manuel Spitschan

Our visual perception of the world - seeing form and colour or navigating the environment - depends on the interaction of light and matter in the environment. Light also has a more fundamental role in regulating rhythms in physiology and behaviour, as well ...

ELSEVIER2019

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Degradation of plastic materials into terephthalic acid (tpa), ethylene glycol and/or other monomers that form the plastic materials

Berend Smit, Kyriakos Stylianou, Christopher Patrick Ireland, Samantha Lynn Anderson

The invention relates to a method for degradation of plastic materials into terephthalic acid (TPA)and/or ethylene glycol and/or other monomers that form the plastic materials. ...

2020

\min \{f(x) : \, Ax = b, \ l \leq x \leq u, \ x \in \Z^n\}

, where

A \in \Z^{m \times n}

b \in \Z^m

l,u \in \Z^n

, and

f: \Z^n \rightarrow \Z

is a separable convex objective function. The problem o ...

EPFL2020