Concept

Tangent half-angle formula

Related publications (11)

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

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

Addressing fairness in classification with a model-agnostic multi-objective algorithm

Boi Faltings, Claudiu-Cristian Musat, Diego Matteo Antognini

The goal of fairness in classification is to learn a classifier that does not discriminate against groups of individuals based on sensitive attributes, such as race and gender. One approach to designing fair algorithms is to use relaxations of fairness not ...

2021

On the Complete Radiation Pattern of a Vertical Hertzian Dipole Above a Low-Loss Ground

Krzysztof Michalski

The complete radiation field pattern of a vertical Hertzian dipole antenna on or above a lossless or low-loss dielectric half-space is studied using a rigorous Sommerfeld formalism. The reflected fields in the air above the interface and the subsurface fie ...

Piscataway2021

Efficient Sample Delay Calculation for 2-D and 3-D Ultrasound Imaging

Jean-Philippe Thiran, Giovanni De Micheli, Luca Benini, Federico Angiolini, Marcel Arditi, Aya Mohamed Naguib Ahmed Ibrahim

Ultrasound imaging is a reference medical diagnostic technique, thanks to its blend of versatility, effectiveness, and moderate cost. The core computation of all ultrasound imaging methods is based on simple formulae, except for those required to calculate ...

Ieee-Inst Electrical Electronics Engineers Inc2017

Indicators of Evidence for Bioequivalence

Stephan Morgenthaler, Robert Staudte

Some equivalence tests are based on two one-sided tests, where in many applications the test statistics are approximately normal. We define and find evidence for equivalence in Z-tests and then one-and two-sample binomial tests as well as for t-tests. Mult ...

Mdpi Ag2016

On MLP-based Posterior Features for Template-based ASR

Hervé Bourlard, Joel Praveen Pinto, Serena Soldo

We investigate the invariance of posterior features estimated using MLP trained on auxiliary corpus towards different data condition and different distance measures for matching posterior features in the context of template-based ASR. Through ASR studies o ...

Idiap2009

Compositional model for predicting multilayer reflectances and transmittances in color reproduction

Mathieu Hébert

The color of materials such as paints, prints and glass may be characterized by a reflectance or a transmittance spectrum. Modeling their reflectance and their transmittance requires describing the interaction of light, from the light source to the observe ...

EPFL2006

Method and Apparatus for Generating Digital Half-tone Images Using a Rotated Dispersed Dither Matrix.

Method and apparatus enabling color or black/white bi-level or multi-level halftone images to be displayed or printed on various raster output devices, in particular on display devices (cathode ray tubes, plasma displays, liquid crystal displays) or on pri ...

1995

Reproduction couleur par trames irrégulières et semi-régulières

In the printing industry, one of the most common methods for reproducing halftone images using bilevel printing devices is clustered-dot ordered dithering. The images produced using this method are quite faithful to the original and are visually pleasing. ...

EPFL1995

Ruthenium complex dyes and photovoltaic cells utilizing them as photosensitizers

Michael Graetzel, Mohammad Khaja Nazeeruddin

A compound of formula (I): (X)nRuLL1 where n is 1 or 2, preferably 2, and in which Ru is ruthenium; each X independently is selected from Cl, SCN, H2O, Br, I, CN and SeCN and L is a ligand of formulae (a) to (g) and L1 is selected from a ligand of formulae ...

(Ecole Polytechnique Federale de Lausanne (EPFL), Switz.).1994

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