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This is a survey of current and recent works on deformation quantization and index theorems.

K-Theory and Homology · Mathematics 2012-10-22 Boris Tsygan

In this paper, we introduce the concept of inner product on weak hypervector spaces and prove some results about them.

Functional Analysis · Mathematics 2013-09-17 Ali Taghavi , Roja Hosseinzadeh , Hamid Rohi

The Minimal Euclidean Function on the Gaussian Integers

Number Theory · Mathematics 2018-02-26 Hester Graves

We investigate minimal degree smooth algebraic space filling curves on the product of projective lines. We prove that there are plenty of examples in an explicit sense, extending the existence result of Homma and Kim.

Algebraic Geometry · Mathematics 2025-12-03 Menhaz Ahammed , Matthew Campbell , Han-Bom Moon

The embedded DRAM (eDRAM) is more and more used in System On Chip (SOC). The integration of the DRAM capacitor process into a logic process is challenging to get satisfactory yields. The specific process of DRAM capacitor and the low…

Hardware Architecture · Computer Science 2011-11-09 L. Lopez , J. M. Portal , D. Nee

Over the last decade we have witnessed an increasing use of data processing in embedded systems. Where in the past the data processing was limited (if present at all) to the handling of a small number of "on-off control signals", more…

Software Engineering · Computer Science 2013-11-15 Boudewijn R. Haverkort

In this paper, we construct smooth isometric embeddings of multiple warped product manifolds in quadrics of semi-Euclidean spaces. Our main theorem generalizes previous results as given by Blanusa, Rozendorn, Henke and Azov.

Differential Geometry · Mathematics 2014-05-23 Heudson Mirandola , Feliciano Vitorio

Examples of complete minimal surfaces properly embedded in H^2 x R have been extensively studied and the literature contains a plethora of nontrivial ones. In this paper we construct a large class of examples of complete minimal surfaces…

Differential Geometry · Mathematics 2012-11-27 Magdalena Rodriguez , Giuseppe Tinaglia

Recent progress in the investigations of the charge role in semiconductor surfaces is reviewed.

Materials Science · Physics 2025-10-29 Stanisław Krukowski , Pawel Kempisty , Pawel Strak

Deep learning is transforming most areas of science and technology, including electron microscopy. This review paper offers a practical perspective aimed at developers with limited familiarity. For context, we review popular applications of…

Image and Video Processing · Electrical Eng. & Systems 2021-03-09 Jeffrey M. Ede

We review several proposed spintronic devices that can provide new functionality or improve available functions of electronic devices. In particular, we discuss a high mobility field effect spin transistor, an all-metal spin transistor, and…

Condensed Matter · Physics 2009-11-07 S. Das Sarma , Jaroslav Fabian , Xuedong Hu , Igor Zutic

We deform a minimal disk in $\mathbb{R}^4$ with a branch point into symplectic minimally immersed disks with only transverse double points.

Differential Geometry · Mathematics 2014-12-02 Marina Ville

Learnable embedding vector is one of the most important applications in machine learning, and is widely used in various database-related domains. However, the high dimensionality of sparse data in recommendation tasks and the huge volume of…

Machine Learning · Computer Science 2024-02-14 Hailin Zhang , Penghao Zhao , Xupeng Miao , Yingxia Shao , Zirui Liu , Tong Yang , Bin Cui

We derive "numerical" criteria for the existence of embeddings of representations of finite dimensional algebras.

Representation Theory · Mathematics 2014-06-23 Kathrin Kerkmann , Markus Reineke

We prove that a minimal disc in a CAT(0) space is a local embedding away from a finite set of "branch points". On the way we establish several basic properties of minimal surfaces: monotonicity of area densities, density bounds, limit…

Differential Geometry · Mathematics 2018-08-21 Stephan Stadler

We survey recent developments in the theory and applications of the broken ray transforms. Furthermore, we discuss some open problems.

Differential Geometry · Mathematics 2025-08-12 Shubham R. Jathar , Jesse Railo

We provide some new sharp embeddings for p-Carleson and related measures in the unit disk of the complex plane

Complex Variables · Mathematics 2012-02-21 Romi Shamoyan , Ali Abkar

This paper forms part of our ongoing works on the existence of complete non-compact free boundary minimal planes in an asymptotically flat three-dimensional Riemannian manifold with boundary. We set up the degree theory for the space of…

Differential Geometry · Mathematics 2020-10-13 Shanjiang Chen

This paper is a continuation of the papers [2,3,4,5,6]. In this paper the osculating spaces of arbitrary order of a manifold embedded in Euclidean space are considered. A better estimation of their dimensions as well as the description of…

General Mathematics · Mathematics 2025-01-28 Kostadin Trencevski

This paper is simply a collection of process diagrams for further use and reference. These are diagrams about different approaches to research.

Human-Computer Interaction · Computer Science 2022-09-27 Sheelagh Carpendale