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This is primarily an expository piece and the first sentence of the introduction pretty much sums it up: This article is aimed at people who already know what mixed Hodge structures are and what they are good for, but who are not sure how…

Algebraic Geometry · Mathematics 2007-05-23 Donu Arapura

This is a short essay about some fundamental results on scalar curvature and the two key methods that are used to establish them.

Differential Geometry · Mathematics 2020-10-01 Maung Min-Oo

In this paper, by using analytical methods we obtain a generalization of the famous Kodaira embedding theorem.

Differential Geometry · Mathematics 2019-09-27 Chao Li , Xi Zhang , QiZhi Zhao

An introduction is given to the Littlewood-Richardson rule, and various combinatorial constructions related to it. We present a proof based on tableau switching, dual equivalence, and coplactic operations. We conclude with a section…

Combinatorics · Mathematics 2007-05-23 Marc A. A. van Leeuwen

Cross-sectional imaging of human organ serves as a critical tool to provide diagnostic results of many diseases. Based on a unique body coordinate system, we present a method that we use to reconstruct any cross-sectional imaging of organ…

In this largely expository paper, we will present a list of En -operads and give complete, and in some cases new, proofs of the equivalences between these operads.

Algebraic Topology · Mathematics 2023-10-13 André Beuckelmann , Ieke Moerdijk

The aim of this paper is to present a self contained introduction to the Hubbard model and some of its applications.The paper consists of two parts: the first will introduce the basic notions of the Hubbard model starting from the…

Materials Science · Physics 2010-02-16 V. Celebonovic

This paper gives an introduction to some results on monodromy groupoids and the monodromy principle, and then develops the notion of monodromy groupoid for group groupoids.

Algebraic Topology · Mathematics 2011-12-30 Osman Mucuk , Berrin Kılıçarslan , Tunçar Şahan , Nazmiye Alemdar

I give a brief review of the parton model.

High Energy Physics - Phenomenology · Physics 2010-04-05 O. W. Greenberg

Microsurgery is a particularly impactful yet challenging form of surgery. Robot assisted microsurgery has the potential to improve surgical dexterity and enable precise operation on such small scales in ways not previously possible.…

Robotics · Computer Science 2023-06-27 Alexandra Leavitt , Ryan Lam , Nichols Crawford Taylor , Daniel S. Drew , Alan Kuntz

This is a brief and gentle introduction, aimed at graduate students, to the subject of model subspaces of the Hardy space.

Complex Variables · Mathematics 2013-12-19 Stephan Ramon Garcia , William T. Ross

The aim of this paper is to give a simple construction of the free skew-brace over a set $X$.

Group Theory · Mathematics 2020-02-28 Juan Orza

This paper presents the current achievements of a long term project aiming at predicting and assessing the impact of tongue and mouth floor surgery on tongue mobility. The ultimate objective of this project is the design of a software with…

Medical Physics · Physics 2007-09-20 Stéphanie Buchaillard , Muriel Brix , Pascal Perrier , Yohan Payan

The science and clinical practice of medical physics has been integral to the advancement of radiology and radiation therapy for over a century. In parallel, advances in surgery - including intraoperative imaging, registration, and other…

Medical Physics · Physics 2025-09-04 Jeffrey H. Siewerdsen

This paper visualizes a knot reduction algorithm

Soft Condensed Matter · Physics 2007-11-28 P. Virnau , M. Kardar , Y. Kantor

This paper serves as an introduction to the current book. It provides the basic notions of long-baseline optical/infrared interferome-try prior to reading all the subsequent chapters, and is not an extended introduction to the field.

Instrumentation and Methods for Astrophysics · Physics 2016-03-07 Florentin Millour

In this paper, we gave some properties of binomial coefficient.

Combinatorics · Mathematics 2017-01-24 Daniel Yaqubi , Madjid Mirzavaziri

This is a brief overview of the basic techniques of Boolean valued analysis.

Logic · Mathematics 2011-05-31 S. S. Kutateladze

Gyroscopic motion explanation in texts is relatively long and requires reasonable level of comfort with the mathematical tools used. On the other hand, popular explanation outside academic courses does not explain the phenomenon and only…

Physics Education · Physics 2022-01-04 M. N. Tarabishy

We use sutured manifold theory, essential laminations and essential branched surfaces to establish the upper bounds of distances between certain types of nonsimple Dehn surgery slopes. This is the revised version of an earlier preprint {\it…

Geometric Topology · Mathematics 2009-09-25 Ying-Qing Wu