Torus-Earth
Points: 266 | Comments: 62 | Author: Kutta
tfhe/tfhe
TFHE: Fast Fully Homomorphic Encryption Library over the Torus (⭐ 1318)
Is a unique character like Torus better than generic mercs?
Am I missing something or he's not that good? His trait is carnivorous, and I can get recruits with a much better traits...
IC 4406: a radio-infrared comparison
IC 4406 is a large (about 100'' x 30'') southern bipolar planetary nebula, composed by two elongated lobes, extending from a bright central region, where there is evidence for the presence of a large torus of gas and dust. In this poster we show ne...
Unique ergodicity for a class of stochastic hyperbolic equations with additive space-time…
In this paper, we consider a certain class of second order nonlinear PDEs with damping and space-time white noise forcing, posed on the $d$-dimensional torus. This class includes the wave equation for $d=1$ and the beam equation for $d\le 3$. We show...
Equivariant cobordism of smooth projective spherical varieties
We study the equivariant cobordism rings for the action of a torus $T$ on smooth varieties over an algebraically closed field of characteristic zero. We prove a theorem describing the rational $T$-equivariant cobordism rings of smooth projective $G$-...
Monk's Rule and Giambelli's Formula for Peterson Varieties of All Lie Types
A Peterson variety is a subvariety of the flag variety $G/B$ which appears in the construction of the quantum cohomology of partial flag varieties. Each Peterson variety has a one-dimensional torus $S^1$ acting on it. We give a basis of Peterson Schu...
Slice-torus link invariants, combinatorial invariants, and positivity conditions
We prove some necessary conditions for a link to be either concordant to a quasi-positive link, quasi-positive, positive, or the closure of a positive braid. The main applications of our results are a characterisation of positive links with unlinking...
Scattering Amplitudes of Massive Spin-2 Kaluza-Klein States Grow Only as ${\cal O}(s)$
We present the results of the first complete calculation of the tree-level $2\to 2$ high-energy scattering amplitudes of the longitudinal modes of massive spin-2 Kaluza-Klein states, both in the case where the internal space is a torus and in the Ran...
Mono: an algebraic study of torus closures
Given an ideal I in a polynomial ring, we consider the largest monomial subideal contained in I, denoted mono(I). We study mono as an interesting operation in its own right, guided by questions that arise from comparing the Betti tables of I and mono...
A Novel Skiagraphic Method of Casting Shade of a Torus
This paper introduces a novel skiagraphic method for shading toroidal forms in architectural illustrations, addressing the challenges of traditional techniques. Skiagraphy projects 3D objects onto 2D surfaces to display geometric properties. Traditio...
Mutation timing in a spatial model of evolution
Motivated by models of cancer formation in which cells need to acquire $k$ mutations to become cancerous, we consider a spatial population model in which the population is represented by the $d$-dimensional torus of side length $L$. Initially, no sit...
A Spatial Mutation Model with Increasing Mutation Rates
We consider a spatial model of cancer in which cells are points on the $d$-dimensional torus $\mathcal{T}=[0,L]^d$, and each cell with $k-1$ mutations acquires a $k$th mutation at rate $μ_k$. We will assume that the mutation rates $μ_k$ are increas...
On the conformational structure of a stiff homopolymer
In this paper we complete the study of the phase diagram and conformational states of a stiff homopolymer. It is known that folding of a sufficiently stiff chain results in formation of a torus. We find that the phase diagram obtained from the Gaus...
The ALE Partition Functions of M-Strings
We compute the equivariant partition function of the six-dimensional M-string SCFTs on a background with the topology of a product of a two-dimensional torus and an ALE singularity. We determine the result by exploiting BPS strings probing the singul...
Are there p-adic knot invariants?
We suggest to use the Hall-Littlewood version of Rosso-Jones formula to define the germs of $p$-adic HOMFLY-PT polynomials for torus knots $[m,n]$, which possess at least the $[m,n] \longleftrightarrow [n,m]$ topological invariance. This calls for ge...
The SL_3 colored Jones polynomial of the trefoil
Rosso and Jones gave a formula for the colored Jones polynomial of a torus knot, colored by an irreducible representation of a simple Lie algebra. The Rosso-Jones formula involves a plethysm function, unknown in general. We provide an explicit formul...
On the Virasoro constraints for torus knots
We construct Virasoro algebra of differential operators for the Jones-Rosso matrix model. These operators generate various relations between Wilson loops. Then we discuss the con- structed operators and corresponding relations in the stability limit....
Generalized torsions in once punctured torus bundles
A generalized torsion in a group, an non-trivial element such that some products of its conjugates is the identity. This is an obstruction for a group being bi-orderable. Though it is known that there is a non bi-orderable group without generalized t...
Selection of quasi-stationary states in the Navier-Stokes equation on the torus
The two dimensional incompressible Navier-Stokes equation on $D_δ:= [0, 2πδ] \times [0, 2π]$ with $δ\approx 1$, periodic boundary conditions, and viscosity $0 < ν\ll 1$ is considered. Bars and dipoles, two explicitly given quasi-stationary stat...