Publications associées à Formule (mathématiques)

Mean value theorems for collections of lattices with a prescribed group of symmetries

Euclidean lattices are mathematical objects of increasing interest in the fields of cryptography and error-correcting codes. This doctoral thesis is a study on high-dimensional lattices with the motivation to understand how efficient they are in terms of b ...

EPFL2024

A DONALDSON-THOMAS CREPANT RESOLUTION CONJECTURE ON CALABI-YAU 4-FOLDS

Sergej Monavari

Let G be a finite subgroup of SU(4) such that its elements have age at most one. In the first part of this paper, we define K-theoretic stable pair invariants on a crepant resolution of the affine quotient C4/G, and conjecture a closed formula for their ge ...

Amer Mathematical Soc2023

On the Use of the Generalized Littlewood Theorem Concerning Integrals of the Logarithm of Analytical Functions for the Calculation of Infinite Sums and the Analysis of Zeroes of Analytical Functions

Serguei Sekatski

Recently, we have established and used the generalized Littlewood theorem concerning contour integrals of the logarithm of an analytical function to obtain a few new criteria equivalent to the Riemann hypothesis. Here, the same theorem is applied to calcul ...

MDPI2023

A Determinantal Identity for the Permanent of a Rank 2 Matrix

Adam Wade Marcus

We prove an identity relating the permanent of a rank 2 matrix and the determinants of its Hadamard powers. When viewed in the right way, the resulting formula looks strikingly similar to an identity of Carlitz and Levine, suggesting the possibility that t ...

TAYLOR & FRANCIS INC2022

A new set of analytical formulae for the computation of the bootstrap current and the neoclassical conductivity in tokamaks

Olivier Sauter

A new set of analytical formulae for calculating the bootstrap current and the neoclassical conductivity in tokamak experiments is presented. Previous works comparing the widely used Sauter model with results of recently developed numerical neoclassical so ...

AMER INST PHYSICS2021

Nonlinear Gyrokinetic Coulomb Collision Operator

Paolo Ricci, Rogério Manuel Cabete De Jesus Jorge, Baptiste Jimmy Frei

A gyrokinetic Coulomb collision operator is derived, which is particularly useful to describe the plasma dynamics at the periphery region of magnetic confinement fusion devices. The derived operator is able to describe collisions occurring in distribution ...

Cambridge University Press2019

A Simple Formula Expressing the Fields on the Aperture of an Impulse Radiating Antenna Fed by TEM Coplanar Plates

We derive a new expression for calculating the fields on the aperture of an impulse radiating antenna, fed by the coplanar TEM plates. The new expression avoids the use of Jacobi and inverse Jacobi functions of complex argument. ...

2018

Vanishing evaluations of simple functors

Jacques Thévenaz, Serge Bouc

The classification of simple biset functors is known, but the evaluation of a simple biset functor at a finite group G may be zero. We investigate various situations where this happens, as well as cases where this does not occur. We also prove a closed for ...

Elsevier2014

Punching shear design in MC2010: incorporating new knowledge and grounding design expressions on physical models

Aurelio Muttoni, Miguel Fernández Ruiz

Model Code 2010 (MC2010) has presented a deep review on punching shear design with respect to previous versions of Model Code (1978, 1990). These changes have been motivated by the fact that MC2010 is grounded on a physical theory rather than on empirical ...

fib Symposium Tel-Aviv 20132013

Analytical shape derivatives of the MFIE system matrix discretized with RWG functions

Juan Ramon Mosig, Athanasios Polymeridis

An analytical formula for the shape derivative of the magnetic field integral equation (MFIE) method of moments (MoM) system matrix (or impedance matrix) is derived and validated against finite difference formulas. The motivation for computing the shape de ...

Institute of Electrical and Electronics Engineers2013

An application of Evolutionary Optimization Algorithms for Determining Concentration and Velocity Profiles in Sheet flows and Overlying Layers

David Andrew Barry, Roham Bakhtyar

The Particle Swarm Optimization (PSO) method and the Genetic Algorithm (GA) were used to derive formulas for determining the velocity and concentration profiles in sheet flows. Specifically, these evolutionary optimization algorithms were used in conjuncti ...

Asme-Amer Soc Mechanical Eng2012

Analysis of Ultralow-Power Asynchronous ADCs

Christian Enz, Aravind Prasad Heragu Singaiyengar

In this paper, analysis of a novel class of A/D converters based on asynchronous delta modulation (DM) is presented and a high level model is realized for the same. Using the high level model, analytical expressions are derived for the calculation of the i ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2010

Surface polaritons of small coated cylinders illuminated by normal incident TM and TE plane waves

Juan Ramon Mosig, Olivier Martin

The surface polariton properties of TM or TE plane wave scattered by a coated cylinder are investigated in this paper. The coated cylinder (whose outer radius is much smaller than the wavelength) is assumed to be electrically small and low dissipative. Ana ...

Optical Society of America2008

An analytical formula for the back emf of a slotted BLDC motor

Yves Perriard, Miroslav Markovic

The paper presents a completely analytical formula to determine the phase back emf of a slotted BLDC motor with interior or exterior rotor and parallel or radial permanent magnet (PM) magnetization and concentrated winding. The formula is based on integrat ...

2007

On the Asymptotic Distortion Behavior of the Distributed Karhunen-Loève Transform

Martin Vetterli, Olivier Roy

The ability to design efficient distributed communications systems heavily depends on a proper understanding of the distortion incurred by their constituting elements. To this end, we study the mean squared reconstruction error behavior of the distributed ...

2005

IP-LAB: A Tool to Teach Image Processing Programming in Java—Challenge in Swiss Federal Institute of Technology Lausanne

Michaël Unser, Daniel Sage

Image processing is getting more and more important because of the widespread use of digital imaging devices, such as digital cameras or digital videos. While image processing is a very practical discipline, it is perceived as being rather theoretical. It ...

JSEE2005