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Concept

Intersection number

Publications associées (20)

Additive and geometric transversality of fractal sets in the integers

Florian Karl Richter

By juxtaposing ideas from fractal geometry and dynamical systems, Furstenberg proposed a series of conjectures in the late 1960's that explore the relationship between digit expansions with respect to multiplicatively independent bases. In this work, we in ...

2024

FIBERED TORIC VARIETIES

Leonid Monin

A toric variety is called fibered if it can be represented as a total space of fibre bundle over toric base and with toric fiber. Fibered toric varieties form a special case of toric variety bundles. In this note we first give an introduction to the class ...

Independent Univ Moscow-Ium2023

Revisiting Evaluation Metrics for Semantic Segmentation: Optimization and Evaluation of Fine-grained Intersection over Union

Devis Tuia

Semantic segmentation datasets often exhibit two types of imbalance: \textit{class imbalance}, where some classes appear more frequently than others and \textit{size imbalance}, where some objects occupy more pixels than others. This causes traditional eva ...

2023

A fast algorithm to find reduced hyperplane unit cells and solve N-dimensional Bezout's identities

Cyril Cayron

Deformation twinning on a plane is a simple shear that transforms a unit cell attached to the plane into another unit cell equivalent by mirror symmetry or 180 degrees rotation. Thus, crystallographic models of twinning require the determination of the sho ...

INT UNION CRYSTALLOGRAPHY2021

Global Frobenius liftability I

Maciej Emilian Zdanowicz

We formulate a conjecture characterizing smooth projective varieties in positive characteristic whose Frobenius morphism can be lifted modulo p(2)-we expect that such varieties, after a finite stale cover, admit a toric fibration over an ordinary abelian v ...

2021

Cross-sections of line configurations in R-3 and (d-2)-flat configurations in R-d

Andres Jacinto Ruiz Vargas

We consider sets L = {l(1),..., l(n)} of n labeled lines in general position in R-3, and study the order types of point sets {p(1),..., p(n)} that stem from the intersections of the lines in L with (directed) planes Pi, not parallel to any line of L, that ...

ELSEVIER SCIENCE BV2019

On the Richter-Thomassen Conjecture about Pairwise Intersecting Closed Curves

János Pach

A long-standing conjecture of Richter and Thomassen states that the total number of intersection points between any n simple closed Jordan curves in the plane, so that any pair of them intersect and no three curves pass through the same point, is at least ...

Cambridge Univ Press2016

The Essence of Dependent Object Types

Martin Odersky, Tiark Rompf, Nada Amin, Sandro Stucki, Karl Samuel Grütter

Focusing on path-dependent types, the paper develops foundations for Scala from first principles. Starting from a simple calculus D-

Springer International Publishing2016

The Critical Shear Crack Theory for punching design: from a mechanical model to closed-form design expressions

Aurelio Muttoni, Miguel Fernández Ruiz

The Critical Shear Crack Theory (CSCT) is a consistent approach used for shear design of one- and two-way slabs failing in shear and punching shear respectively. The theory is based on a mechanical model allowing to determine the amount of shear force that ...

2016

NANO-TERA.CH: Electronic Technology for Health Management

Giovanni De Micheli

The Swiss Nano-Tera.ch program addresses – among others – issues at the intersection of engineering and medical domains. Specifically, electronic-health (or E-Health) is a broad area of engineering that leverages transducer, circuit and systems technologie ...

2015

Counting Sheaves Using Spherical Codes

Philippe Michel

Using the Riemann Hypothesis over finite fields and bounds for the size of spherical codes, we give explicit upper bounds, of polynomial size with respect to the size of the field, for the number of geometric isomorphism classes of geometrically irreducibl ...

International Press2013

Complete intersections in rational homotopy theory

Kathryn Hess Bellwald

We investigate various homotopy invariant formulations of commutative algebra in the context of rational homotopy theory. The main subject is the complete intersection condition, where we show that a growth condition implies a structure theorem and that mo ...

Elsevier2013

Micro-simulation Modeling of Coordination of Automated Guided Vehicles at Intersection

Denis Gillet, André-Gilles Dumont, Minh Hai Pham, Laleh Makarem

One of the challenges with autonomous vehicles is their performance at intersections. An alternative control method for the coordination of autonomous vehicles at intersections is shown. The proposed approach was grounded in multiple-robot coordination and ...

National Academy of Sciences2012

Collision-Free Intersection Crossing of Mobile Robots Using Decentralized Navigation Functions on Predefined Paths

Denis Gillet, Laleh Makarem

This paper deals with the coordination of a group of mobile robots at an intersection. It focusses on decentralized navigation functions (DNFs) to achieve efficient traffic control. The main challenge is to define virtual potentials, which are used by dece ...

2011

Tangencies between families of disjoint regions in the plane

János Pach

Let C be a family of n convex bodies in the plane, which can be decomposed into k subfamilies of pairwise disjoint sets. It is shown that the number of tangencies between the members of C is at most O(kn), and that this bound cannot be improved. If we only ...

2010

Constructing de Sitter vacua in no-scale string models without uplifting

Claudio Scrucca

We develop a method for constructing metastable de Sitter vacua in N = 1 supergravity models describing the no-scale volume moduli sector of Calabi-Yau string compactifications. We consider both heterotic and orientifold models. Our main guideline is the n ...

Springer Nature2009

A vanishing theorem for oriented intersection multiplicities

Jean Fasel

Let A be a regular local ring containing 1/2, which is either equicharacteristic, or is smooth over a d.v.r. of mixed characteristic. We prove that the product maps on derived Grothendieck-Witt groups of A satisfy the following property: given two elements ...

2008

Interactive spaces

Jeffrey Huang

How do conceptions of space change with the infiltration of new elements of interactivity into our surroundings? What are the effects of digitalization on typological, tectonic and ornamental changes in contemporary architecture and cities? What are the ne ...

Springer-Verlag New York, Ms Ingrid Cunningham, 175 Fifth Ave, New York, Ny 10010 Usa2008

Mechanical control of fluids in micro-analytical devices

Hubert Girault, Joël Stéphane Rossier, Joël Rossier, Xiaoxia Bai

An apparatus for manipulating fluid samples comprises a micro-chip device having first and second covered channels, each channel having openings at both ends. The channels intersect to form a common intersection. Three of the openings of the channels are c ...

2006

Fabrication de capteurs pyroelectriques comprenant une couche pyroelectrique mince necessitant une polarisation electrique

Paul Muralt

The method for group manufacturing of pyroelectric sensors by forming a thin pyroelectric layer on the upper side of a silicon wafer, where each sensor comprises several pixels (4) and each pixel is defined by an upper electrode (6) situated on the face si ...

2006