Internal and external angles

Formal sciences
Mathematics
Geometry
Euclidean geometry

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Quadratic serendipity element shape functions on general planar polygons

Xiaodong Wei, Juan Cao

This paper proposes a method for the construction of quadratic serendipity element (QSE) shape functions on planar convex and concave polygons. Existing approaches for constructing QSE shape functions are linear combinations of the pair-wise products of ge ...

ELSEVIER SCIENCE SA2022

Propulsion module for generating wave-like motion

Auke Ijspeert, Peter Eckert

The present invention relates to a propulsion module (1) for generating wave-like motion in liquid. The propulsion module (1) comprises: a motor (7) for generating rotational motion; a set of conversion devices comprising a first conversion device (91) and ...

2020

Mobility law of dislocations with several character angles and temperatures in FCC Aluminum

Jean-François Molinari, Guillaume Anciaux, Jaehyun Cho

We study the mobility law of dislocations in aluminum as an important building block for the development of a multiscale method that couples an atomistic model with discrete dislocation dynamics in 3d (\eg CADD3d). Straight dislocations of arbitrary charac ...

Elsevier2017

Gyre formation in open and deep lacustrine embayments: The example of Lake Geneva, Switzerland

David Andrew Barry, Alfred Johny Wüest, Ulrich Lemmin, Damien Bouffard, Amir Mehdi Razmi, Robert Eduard Uittenbogaard

Numerical simulations were carried out to investigate gyres within open lacustrine embayments subjected to parallel-to-shore currents. In such embayments, gyre formation occurs due to flow separation at the embayment’s upstream edge. High momentum fluid fr ...

Springer Verlag2017

The degenerate two well problem for piecewise affine maps

Bernard Dacorogna

The two well problem consists in finding maps u which satisfy some boundary conditions and whose gradient Du assumes values in the two wells . Here (similarly ) is the well generated by a 2 x 2 matrix A, i.e., is the set of matrices of the form RA, where R ...

Springer Basel Ag2013

A new method for internal-external rotation measurement in a prosthetic knee

Kamiar Aminian, Arash Arami

In this work, a magnetic measurement system was designed and tested to estimate the Internal-External rotation between the Tibial and Femural parts of a knee prosthesis. To obtain this, the sensors were inserted in polyethylene part while a permanent magne ...

2012

Measurement of Multi-segment Foot Joint Angles During Gait Using a Wearable System

Kamiar Aminian, Julien Favre, Hossein Rouhani, Xavier Crevoisier

Usually the measurement of multi-segment foot and ankle complex kinematics is done with stationary motion capture devices which are limited to use in a gait laboratory. This study aimed to propose and validate a wearable system to measure the foot and ankl ...

2012

Graphs That Admit Polyline Drawings with Few Crossing Angles

Radoslav Fulek

We consider graphs that admit polyline drawings where all crossings occur at the same angle alpha is an element of (0, pi/2]. We prove that every graph on n vertices that admits such a polyline drawing with at most two bends per edge has O(n) edges. This r ...

SIAM Publications2012

A Comparison Between Joint Coordinate System and Attitude Vector for Multi-segment foot Kinematics

Kamiar Aminian, Julien Favre, Hossein Rouhani, Xavier Crevoisier

The joint angles of multi-segment foot models have been primarily described using two mathematical methods: the joint coordinate system and the attitude vector. This study aimed to determine whether the angles obtained through these two descriptors are com ...

Elsevier2012

Comment on “Encoding many channels on the same frequency through radio vorticity: first experimental test”

Julien Perruisseau-Carrier, Michele Tamagnone

We show that the public experiment held in Venice by Tamburini et al and reported in 2012 New J. Phys. 14 033001 can be regarded as a particular implementation of multiple-input-multiple-output (MIMO) communications and, therefore, has no advantages over e ...

Institute of Physics (IoP) and Deutsche Physikalische Gesellschaft2012

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