Results 31 to 40 of about 44,187 (190)

An Algebraic Formulation for the Configuration Transformation of a Class of Reconfigurable Cube Mechanisms [PDF]

open access: goldMechanical Sciences, 2017
Abstract. This paper presents an algebraic strategy for formulating the configuration transformation of a special class of reconfigurable cube mechanism (RCM) made by 23 cyclically connected sub-cubes. The RCM studied here is kinematically equivalent to a spatial eight-bar linkage having eight transformable configurations.
Chin‐Hsing Kuo   +2 more
openalex   +4 more sources

Relative (non-)formality of the little cubes operads and the algebraic Cerf lemma [PDF]

open access: greenAmerican Journal of Mathematics, 2018
It is shown that the operad maps $E_n\to E_{n+k}$ are formal over the reals for $k\geq 2$ and non-formal for $k=1$. Furthermore we compute the cohomology of the deformation complex of the operad maps $E_{n}\to E_{n+1}$, proving an algebraic version of the Cerf Lemma.
Victor Turchin, Thomas Willwacher
openalex   +6 more sources

Algebraic method to recover superpolies in cube attacks [PDF]

open access: yesIET Information Security, 2020
Cube attacks are an important type of key recovery attacks against nonlinear feedback shift register (NFSR)-based cryptosystems. The key step in cube attacks closely related to key recovery is recovering superpolies. However, in the previous cube attacks including original, division property based and correlation cube attacks, the algebraic normal form
Chen-Dong Ye, Tian Tian
openaire   +8 more sources

On the algebra of cubes

open access: yesJournal of Pure and Applied Algebra, 1981
This is the first of two papers whose main purpose is to prove a generalisation of the Seifert-Van Kampen theorem on the fundamental group of a union of spaces. This generalisation (Theorem C of [8]) will give information in all dimensions and will include as special cases not only the above theorem (without the usual assumptions of path-connectedness)
Ronald Brown, Philip J. Higgins
openaire   +2 more sources

Strong no-loop conjecture for algebras with two simples and radical cube zero [PDF]

open access: bronzeColloquium Mathematicum, 2005
Let \(\Lambda\) be an Artinian ring, with the Jacobson radical \(J\), and let \(S\) be a simple \(\Lambda\)-module. The strong no-loop conjecture says that if \(\text{Ext}^1_\Lambda S\neq 0\), then the projective dimension of \(S\) is infinite. This conjecture is known to hold if \(J^2=0\) or if \(\Lambda\) has only one simple module up to isomorphism.
Bernt Tore Jensen
openalex   +3 more sources

Enumeration and investigation of acute 0/1-simplices modulo the action of the hyperoctahedral group

open access: yesSpecial Matrices, 2017
The convex hull of n + 1 affinely independent vertices of the unit n-cube In is called a 0/1-simplex. It is nonobtuse if none its dihedral angles is obtuse, and acute if additionally none of them is right.
Brandts Jan, Cihangir Apo
doaj   +1 more source

On the universal sl_2 invariant of ribbon bottom tangles

open access: yes, 2009
A bottom tangle is a tangle in a cube consisting of arc components whose boundary points are on a line in the bottom square of the cube. A ribbon bottom tangle is a bottom tangle whose closure is a ribbon link.
Lawrence   +6 more
core   +1 more source

Noncommutative Lattices and Their Continuum Limits [PDF]

open access: yes, 1995
We consider finite approximations of a topological space $M$ by noncommutative lattices of points. These lattices are structure spaces of noncommutative $C^*$-algebras which in turn approximate the algebra $\cc(M)$ of continuous functions on $M$. We show
Balachandran   +20 more
core   +2 more sources

Deciding absorption

open access: yes, 2015
We characterize absorption in finite idempotent algebras by means of J\'onsson absorption and cube term blockers. As an application we show that it is decidable whether a given subset is an absorbing subuniverse of an algebra given by the tables of its ...
Barto, Libor, Kazda, Alexandr
core   +1 more source

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