Normal scheme - Wikipedia
In algebraic geometry, an algebraic variety or scheme X is normal if it is normal at every point, meaning that the local ring at the point is an integrally
Revealing AGN by Polarimetry
Polarimetric study in the UV and optical has been one of the keys to reveal the structure and nature of active galactic nuclei (AGN). Combined with the HST's high spatial resolution, it has directly confirmed the predicted scattering geometry of ~1...
Complexity and Geometry of Sampling Connected Graph Partitions
In this paper, we prove intractability results about sampling from the set of partitions of a planar graph into connected components. Our proofs are motivated by a technique introduced by Jerrum, Valiant, and Vazirani. Moreover, we use gadgets insp...
Model Predictive Control for Aggressive Driving Over Uneven Terrain
Terrain traversability in unstructured off-road autonomy has traditionally relied on semantic classification, resource-intensive dynamics models, or purely geometry-based methods to predict vehicle-terrain interactions. While inconsequential at low s...
Are 2D fingerprints still valuable for drug discovery?
Recently, molecular fingerprints extracted from three-dimensional (3D) structures using advanced mathematics, such as algebraic topology, differential geometry, and graph theory have been paired with efficient machine learning, especially deep learni...
On a remark by Alan Weinstein
Alan Weinstein remarked that, working in the framework of diffeology, a construction from Noncommutative Differential Geometry might provide the non-trivial representations required for the geometric quantisation of a symplectic structure which is no...
List of AMD graphics processing units - Wikipedia
perform. Measured in operations/s. Vertex operations - The amount of geometry operations that can be processed on the vertex shaders in one second (only applies
Affine Deligne-Lusztig varieties beyond the minute case
Affine Deligne-Lusztig varieties in the fully Hodge-Newton decomposable (or minute) case are the only larger class of ADLVs which could be described completely in the past. Instances of them play important roles in arithmetic geometry, from Harris-Ta...
Theorems of Chisini type
A text of the talk given by the author on Conference on Algebra, Algebraic Geometry and Number Theory dedicated to the 100th anniversary of I.R. Shafarevich, Moscow, June 5 -- 9, 2023....
Spread Codes and Spread Decoding in Network Coding
In this paper we introduce the class of Spread Codes for the use in random network coding. Spread Codes are based on the construction of spreads in finite projective geometry. The major contribution of the paper is an efficient decoding algorithm o...
ItzKiba/GrandpaDemon
A Geode mod for Geometry Dash that adds additional demon difficulties above extreme. (⭐ 20)
Differential geometry and stochastic dynamics with deep learning numerics
In this paper, we demonstrate how deterministic and stochastic dynamics on manifolds, as well as differential geometric constructions can be implemented concisely and efficiently using modern computational frameworks that mix symbolic expressions wit...
Point - Wikipedia
Look up point, Points, or points in Wiktionary, the free dictionary. Point or points may refer to: Point (geometry), a representation of an exact position
Bad graphics in Requiem...
Surely something's wrong on PC right? Maxed out settings on a 5080 and there are elements of the game that look rubbish, particularly the textures and geometry... Anyone else finding this?...
Equivariant mirror symmetry for footballs
In this paper, we establish equivariant mirror symmetry for footballs $\mathcal{F}(m,r)$. This extends the results by B. Fang, C.C. Liu and Z. Zong, where the projective line was considered [{\it Geometry \& Topology} 24:2049-2092, 2017], and the res...
Polygonal equalities and $p$-negative type
Nontrivial $p$-polygonal equalities impose certain conditions on the geometry of a metric space $(X,d)$ and so it is of interest to be able to identify the values of $p \in [0,\infty)$ for which such equalities exist. Following work of Li and Weston,...
Deep Q Learning Driven CT Pancreas Segmentation with Geometry-Aware U-Net
Segmentation of pancreas is important for medical image analysis, yet it faces great challenges of class imbalance, background distractions and non-rigid geometrical features. To address these difficulties, we introduce a Deep Q Network(DQN) driven a...
Surface Geometry Processing: An Efficient Normal-based Detail Representation
With the rapid development of high-resolution 3D vision applications, the traditional way of manipulating surface detail requires considerable memory and computing time. To address these problems, we introduce an efficient surface detail processing f...
The Graded Differential Geometry of Mixed Symmetry Tensors
We show how the theory of $\mathbb{Z}_2^n$ -manifolds - which are a non-trivial generalisation of supermanifolds - may be useful in a geometrical approach to mixed symmetry tensors such as the dual graviton. The geometric aspects of such tensor field...
Hyperboloidal Approach to Quasinormal Modes
Oscillations of black hole spacetimes exhibit divergent behavior toward the bifurcation sphere and spatial infinity. This divergence can be understood as a consequence of the geometry in these spacetime regions. In contrast, black-hole oscillations a...