Let $f$ be a regular non-constant symbol defined on the $d$-dimensional torus ${\mathbb T}^d$ with values on the unit circle. Denote respectively by $κ$ and $L$, its set of critical points and the associated Laurent operator on $l^2({\mathbb Z}^d)$....
Gay and Meier asked if a trisection diagram for the Gluck twist on a spun or twist-spun 2-knot in $S^4$ obtained by a certain method is standard. In this paper, we show that the trisection diagram for the Gluck twist on the spun $(p+1,p)$-torus knot...
My box of doughnut holes cereal is leaving a terrible taste in my mouth! I’m many years removed from even basic geometry but isn’t a torus a far better glaze delivery solid than a sphere? Wouldn?...
This paper studies behaviors that are defined on a torus, or equivalently, behaviors defined in spaces of periodic functions, and establishes their basic properties analogous to classical results of Malgrange, Palamodov, Oberst et al. for behaviors o...
We study the lower bounds and upper bounds for LS-category and equivariant LS-category. In particular we compute both invariants for torus manifolds. There are some examples to show the sharpness of conditions in the theorems. Moreover the equivarian...
The torus, a shape as familiar as a donut yet as rich in complexity as the most intricate mathematical concepts, holds a unique place in the study of mathematics.
TORUS™ Stent Graft: Engineered specifically for optimal blood flow and long-term durability. Available in multiple sizes (5.5-6.7mm diameter, 100-200mm length) and designed with radial strength for …
The aim of this paper is to investigate the boundedness of periodic Fourier integral operators in Lebesgue spaces with variable exponent $L^{p(\cdot)}$ on the $n$-dimensional torus. We deal with operators of type $(ρ, δ)$ which symbols belong to th...
We show that for the C^1-open set of partially hyperbolic diffeomorphisms constructed in (M. Shub and A. Wilkinson, "Pathological foliations and removable zero exponents," Invent. math. 139 (2000) 3, 495-508), Lebesgue measure on the 3-torus decomp...
There are two famous Abel Theorems. Most well-known is his description of abelian (analytic) functions on a one dimensional compact complex torus. The other collects together those complex tori, with their prime degree isogenies, into one space. Riem...
Tools that allow applications to interact with the Torus Network. For integration, look at docs.web3auth.io (⭐ 77)
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Intersection algorithms are very important in computation of geometrical problems. Algorithms for a line intersection with linear or quadratic surfaces are quite efficient. However, algorithms for a line intersection with other surfaces are more comp...
My girl noticed a lump on the top of my mouth probably 10 months ago. I never felt or saw anything since I never looked at the top of my mouth in a wierd angle. I googled a lot and didnt find anything...
The torus, a shape as familiar as a donut yet as rich in complexity as the most intricate mathematical concepts, holds a unique place in the study of mathematics.
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TORUS™ Stent Graft: Engineered specifically for optimal blood flow and long-term durability. Available in multiple sizes (5.5-6.7mm diameter, 100-200mm length) and designed with radial strength for …
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