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Compliant mechanisms are alternatives to conventional mechanisms which exploit elastic strain to produce desired deformations instead of using moveable parts. They are designed for a kinematic task (providing desired deformations) but do…

Robotics · Computer Science 2021-04-26 Lucio Flavio Campanile , Stephanie Kirmse , Alexander Hasse

In this paper, we prove two lower bounds for the maximum matching size in an arbitrary undirected graph. Despite their simplicity, these results are not widely known. This article aims to bring pleasure to the reader by giving short…

Combinatorics · Mathematics 2024-05-30 Fedor Kuyanov

The purpose of this paper is to give a linear and effective height inequality for algebraic points on curves over functional fields. Our height inequality can be viewed as the logarithmic canonical class inequality of a punctured curve over…

alg-geom · Mathematics 2008-02-03 Sheng-Li Tan

If split supersymmetry can be advocated as a means to have gauge-coupling unification as well as dark matter, another plausible scenario is to enlarge judiciously the particle content of the Standard Model to achieve the same goals without…

High Energy Physics - Phenomenology · Physics 2009-11-11 Ernest Ma

We develop a new algorithm for fitting circles that does not have drawbacks commonly found in existing circle fits. Our fit achieves ultimate accuracy (to machine precision), avoids divergence, and is numerically stable even when fitting…

Computer Vision and Pattern Recognition · Computer Science 2022-10-13 Houssam Abdul-Rahman , Nikolai Chernov

Multi-output is essential in machine learning that it might suffer from nonconforming residual distributions, i.e., the multi-output residual distributions are not conforming to the expected distribution. In this paper, we propose "Wrapped…

Machine Learning · Computer Science 2019-09-10 Chun Ting Liu , Ming Chuan Yang , Meng Chang Chen

The inverse Ising problem seeks to reconstruct the parameters of an Ising Hamiltonian on the basis of spin configurations sampled from the Boltzmann measure. Over the last decade, many applications of the inverse Ising problem have arisen,…

Disordered Systems and Neural Networks · Physics 2017-09-13 Johannes Berg

Several recent papers in digital topology have sought to obtain fixed point results by mimicking the use of tools from classical topology, such as complete metric spaces. We show that in many cases, researchers using these tools have…

Geometric Topology · Mathematics 2018-08-30 Laurence Boxer

In this paper, we present an improvement of a large sieve type inequality in high dimensions and discuss its implications on a related problem.

Number Theory · Mathematics 2007-05-23 Liangyi Zhao

In this paper, we formally investigate two mathematical aspects of Hermite splines which translate to features that are relevant to their practical applications. We first demonstrate that Hermite splines are maximally localized in the sense…

Numerical Analysis · Mathematics 2019-02-11 Julien Fageot , Shayan Aziznejad , Michael Unser , Virginie Uhlmann

The wide application of the modern resonant measurement techniques makes all the steps of the measuring process, including data acquisition more efficient and reliable. Here we investigate the multidimensional space of the parameters to…

Instrumentation and Detectors · Physics 2021-03-10 Kostiantyn Torokhtii , Andrea Alimenti , Nicola Pompeo , Enrico Silva

This paper makes some modifications to the warped product space. Based on Alias,Impera and Rigoli, a warping function is added to the warped product space. This new function affects the Riemannian metric of the warped product space. In this…

Differential Geometry · Mathematics 2024-02-23 Kaijian Cao

The aim of this note is threefold: first, to present a few relevant facts about the way in which the technique of enriching contractive mappings was introduced; secondly, to expose the main contributions in the area of enriched mappings…

Functional Analysis · Mathematics 2024-04-09 Vasile Berinde , Mădălina Păcurar

Finding correspondences between 3D shapes is a crucial problem in computer vision and graphics, which is for example relevant for tasks like shape interpolation, pose transfer, or texture transfer. An often neglected but essential property…

Computer Vision and Pattern Recognition · Computer Science 2023-09-12 Viktoria Ehm , Paul Roetzer , Marvin Eisenberger , Maolin Gao , Florian Bernard , Daniel Cremers

In this note we present a refinement of the AM-GM inequality, and then we estimate in a special case the typical size of the improvement.

Classical Analysis and ODEs · Mathematics 2009-10-30 J. M. Aldaz

We consider fits to two or more datasets for which results from the sa me experiment share a common systematic uncertainty in addition to their individ ual statistical errors. This is important in extracting the maximum information from a…

Data Analysis, Statistics and Probability · Physics 2020-09-29 Roger John Barlow

The "finite intersection property" for bifunctions is introduced and its relationship with generalized monotonicity properties is studied. Some results concerning existence of solution for (quasi-)equilibrium problems are established and…

Optimization and Control · Mathematics 2020-02-13 John Cotrina , Anton Svensson

The paper presents a construction of a quantitative measure of variability for parameter estimates in the data fitting problem under interval uncertainty. It shows the degree of variability and ambiguity of the estimate, and the need for…

Numerical Analysis · Mathematics 2020-03-12 Sergey P. Shary

Conformal mapping, a classical topic in complex analysis and differential geometry, has become a subject of great interest in the area of surface parameterization in recent decades with various applications in science and engineering.…

Graphics · Computer Science 2021-04-23 Gary P. T. Choi

In this paper, we establish (presumably new type) integral inequalities for convex functions via the Hermite--Hadamard's inequalities. As applications, we apply these new inequalities to construct inequalities involving special means of…

Classical Analysis and ODEs · Mathematics 2017-11-28 Khaled Mehrez , Praveen Agarwal
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