Publications related to Projective geometry

Optimum Truss Design with Reused Stock Elements

Corentin Jean Dominique Fivet, Gennaro Senatore, Jan Friedrich Georg Brütting, Joseph Jean François Desruelle

This paper proposes the application of optimization techniques to design reticular structures made from a stock of reused elements. Still little explored, the reuse of structural components over multiple service lives has the potential to reduce the enviro ...

2018

Dimensionless correlations and performance maps of scroll expanders for micro-scale Organic Rankine Cycles

Jürg Alexander Schiffmann, Luis Carlos Mendoza Toledo, Luis Eric Olmedo Ocampo, Violette Mounier

In the endeavor towards distributed power systems, not seasonal-dependent micro-power generation technologies are expected to integrate the energy scenario in the years to come. In this context, the Organic Rankine Cycle (ORC) in the (1e10) KWe scale has c ...

2018

A Review and Mathematical Treatment of Infinity on the Smith Chart, 3D Smith Chart and Hyperbolic Smith Chart

Mihai Adrian Ionescu, Andrei Müller

This work describes the geometry behind the Smith chart, recent 3D Smith chart tool and previously reported conceptual Hyperbolic Smith chart. We present the geometrical properties of the transformations used in creating them by means of inversive geometry ...

MDPI2018

On some algebraic and extremal problems in discrete geometry

Seyed Hossein Nassajianmojarrad

In the present thesis, we delve into different extremal and algebraic problems arising from combinatorial geometry. Specifically, we consider the following problems. For any integer

n\ge 3

, we define

e(n)

to be the minimum positive integer such that an ...

EPFL2017

Extension complexity of stable set polytopes of bipartite graphs

Yuri Faenza, Manuel Francesco Aprile

The extension complexity xc(P) of a polytope P is the minimum number of facets of a polytope that affinely projects to P. Let G be a bipartite graph with n vertices, m edges, and no isolated vertices. Let STAB(G) be the convex hull of the stable sets of G. ...

Springer2017

Method, apparatus and program for processing a circular light field

Martin Vetterli, Loïc Arnaud Baboulaz, Zhou Xue

Method for processing a circular light field comprising the step of receiving or storing a circular light field matrix, wherein the circular light field matrix comprises pixel data for different circumferential angles and for different incidence angles, wh ...

2017

A semi-algebraic version of Zarankiewicz's problem

János Pach

A bipartite graph G is semi-algebraic in R-d if its vertices are represented by point sets P,Q subset of R-d and its edges are defined as pairs of points (p,q) epsilon P x Q that satisfy a Boolean combination of a fixed number of polynomial equations and i ...

European Mathematical Soc2017

Linear and non-linear studies of spurious backward-wave instabilities in a smooth-wall gyrotron beam duct

Stefano Alberti, Jérémy Genoud, Trach-Minh Tran

Recently developed self-consistent models for beam-wave interaction simulations of a gyrotron oscillator are used to study spurious backward-wave instabilities in smooth-wall metallic beam ducts. Starting from a simple case with a basic geometry, the influ ...

2017

Investigations of the non-adiabatic photophysics of Cu(I)-phenanthroline complexes

Gloria Capano

Cu(I)-phenanthrolines are an important class of metal-organic molecules that exhibits much promise for solar energy harvesting and solar-driven catalysis applications. Although many experimental studies have been performed calling for high-level simulation ...

EPFL2016

Copper-catalysed cyanoalkylative cycloetherification of alkenes to 1,3-dihydroisobenzofurans: development and application to the synthesis of citalopram

Qian Wang, Jieping Zhu, Minh Tu Ha

A copper-catalysed cyanoalkylative cycloetherification of alkenes was developed. Heating a solution of substituted (2-vinylphenyl)methanol in MeCN/MeOH (v/v 7/3) in the presence of a catalytic amount of copper(II) tetrafluoroborate hydrate [Cu(BF4)26H2O], ...

Royal Society of Chemistry2016

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Optimum Truss Design with Reused Stock Elements

Dimensionless correlations and performance maps of scroll expanders for micro-scale Organic Rankine Cycles

A Review and Mathematical Treatment of Infinity on the Smith Chart, 3D Smith Chart and Hyperbolic Smith Chart

On some algebraic and extremal problems in discrete geometry

Extension complexity of stable set polytopes of bipartite graphs

Method, apparatus and program for processing a circular light field

A semi-algebraic version of Zarankiewicz's problem

Linear and non-linear studies of spurious backward-wave instabilities in a smooth-wall gyrotron beam duct

Investigations of the non-adiabatic photophysics of Cu(I)-phenanthroline complexes

Copper-catalysed cyanoalkylative cycloetherification of alkenes to 1,3-dihydroisobenzofurans: development and application to the synthesis of citalopram

Extension complexity of stable set polytopes of bipartite graphs

Copper-catalysed cyanoalkylative cycloetherification of alkenes to 1,3-dihydroisobenzofurans: development and application to the synthesis of citalopram

Investigations of the non-adiabatic photophysics of Cu(I)-phenanthroline complexes

Optimum Truss Design with Reused Stock Elements

On some algebraic and extremal problems in discrete geometry

Linear and non-linear studies of spurious backward-wave instabilities in a smooth-wall gyrotron beam duct

A semi-algebraic version of Zarankiewicz's problem

A Review and Mathematical Treatment of Infinity on the Smith Chart, 3D Smith Chart and Hyperbolic Smith Chart

Dimensionless correlations and performance maps of scroll expanders for micro-scale Organic Rankine Cycles

Method, apparatus and program for processing a circular light field