Results 61 to 70 of about 564 (182)
Invariant splitting principles for the Lipshitz–Ozsváth–Thurston correspondence
Abstract We prove that the Lipshitz–Ozsváth–Thurston correspondence between extended type D structures of knot complements and F[U,V]/(UV)$\mathbb{F}[U,V]/(\textit{UV})$ knot Floer complexes can be arranged so that ιK${\iota}_{K}$‐invariant splittings of knot Floer chain complexes correspond to ιS3∖K${\iota}_{{S}^{3}\setminus K}$‐invariant splittings ...
Gary Guth, Sungkyung Kang
wiley +1 more source
Classical quotient rings of generalized matrix rings
An associative ring R with identity is a generalized matrix ring with idempotent set E if E is a finite set of orthogonal idempotents of R whose sum is 1.
David G. Poole, Patrick N. Stewart
doaj +1 more source
On the structure of the stochastic idempotent matrix space
Let \(I_ r\) be the space of \(n\times n\) stochastic idempotent matrices of rank r, then it is proved that \(I_ r=\cup (\max imal\) \(P_ r\)- folds), where the \(P_ r\)-folds are homeomorphic to convex polytopes. Moreover, the space \(I_ r\) is triangulable.
Gonzalez, Raul Ernesto, Hartfiel, D.J.
openaire +2 more sources
Intraday Functional PCA Forecasting of Cryptocurrency Returns
ABSTRACT We study the functional PCA (FPCA) forecasting method in application to functions of intraday returns on Bitcoin. We show that improved interval forecasts of future return functions are obtained when the conditional heteroscedasticity of return functions is taken into account.
Joann Jasiak, Cheng Zhong
wiley +1 more source
Cryptography Based on (Idempotent) Semirings: Abandoning Tropicality?
This review explores the current state of public key cryptography based on idempotent semirings, with an emphasis on tropical semirings. It examines key hard problems, such as the tropical discrete logarithm problem, semidirect tropical product problem ...
Mariana Durcheva
doaj +1 more source
Isomorphic Operators and Functional Equations for the Skew-Circulant Algebra
The skew-circulant matrix has been used in solving ordinary differential equations. We prove that the set of skew-circulants with complex entries has an idempotent basis. On that basis, a skew-cyclic group of automorphisms and functional equations on the
Zhaolin Jiang, Tingting Xu, Fuliang Lu
doaj +1 more source
Kuga–Satake Construction on Families of K3 Surfaces of Picard Rank 14
ABSTRACT The isometry between the type IV6 and the type II4 hermitian symmetric domains suggests a possible relation between suitable moduli spaces of K3 surfaces of Picard rank 14 and of polarized abelian 8‐folds with totally definite quaternion multiplication. We show how this isometry induces a geometrically meaningful map between such moduli spaces
Flora Poon
wiley +1 more source
A Heuristic Method for Solving Polynomial Matrix Equations
We propose a heuristic method to solve polynomial matrix equations of the type ∑k=1makXk=B, where ak are scalar coefficients and X and B are square matrices of order n.
Juan Luis González-Santander +1 more
doaj +1 more source
Let Hn be the set of n×n complex Hermitian matrices and 𝒫n (resp., 𝒯n) be the set of all idempotent (resp., tripotent) matrices in Hn. In l-partite quantum system Hm1Tml=⊗1lHmi, ⊗1l𝒫mi (resp., ⊗1l𝒯mi) denotes the set of all decomposable elements ⊗1lAi ...
Jinli Xu, Baodong Zheng, Hongmei Yao
doaj +1 more source
A Null Space-Based Blind Source Separation for Fetal Electrocardiogram Signals
This paper presents a new non-invasive deterministic algorithm of extracting the fetal Electrocardiogram (FECG) signal based on a new null space idempotent transformation matrix (NSITM). The mixture matrix is used to compute the ITM. Then, the fetal ECG (
Luay Taha, Esam Abdel-Raheem
doaj +1 more source

