Results 11 to 20 of about 3,617 (306)

Quaternion involutions and anti-involutions

Computers & Mathematics with Applications, 2007
The authors recall the definition of Hamilton's algebra of real quaternions. They define an involution of an algebra, without mentioning the structure where the involution takes place, and remark that the formal definition of an involution is not easy to find. Then an anti-involution is defined. Some calculations are added.
Todd A. Ell, Stephen J. Sangwine
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A Statistic on Involutions [PDF]

Journal of Algebraic Combinatorics, 2001
Given positive integers \(i< j\), the authors define an arc \([i, j]\) with span \(j-i-1\). An involution is a finite set of disjoint arcs. If \(i< k< j< l\), then \([i, j]\), \([k, l]\) are crossing arcs. \(I(n)\) denote the set of all involutions with arcs contained in \([n]\) (\(=\{1,2,\dots,n\}\)) and \(I(n, k)\) the set of involutions in \(I(n ...
DEODHAR, RS, SRINIVASAN, MK
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Square involutions

, 2011
A square involution is a square permutation which is also an involution. The authors prove that the number of square involutions of length \(n\) is \[ (n+2)2^{n-3}-(n-2)\binom{n-3}{\lfloor \frac{n-3}{2}\rfloor},n\geq 3. \]
F. Disanto, FROSINI, ANDREA, S. Rinaldi
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The Eulerian distribution on centrosymmetric involutions [PDF]

Discrete Mathematics & Theoretical Computer Science, 2009
Combinatorics
Marilena Barnabei, Flavio Bonetti, Matteo Silimbani   +2 more
doaj   +2 more sources

Postnatal Involution and Counter-Involution of the Thymus [PDF]

Frontiers in Immunology, 2020
Thymus involution occurs in all vertebrates. It is thought to impact on immune responses in the aged, and in other clinical circumstances such as bone marrow transplantation. Determinants of thymus growth and size are beginning to be identified.
Jennifer E. Cowan, Yousuke Takahama, Avinash Bhandoola, Izumi Ohigashi   +3 more
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Pfister involutions [PDF]

Proceedings Mathematical Sciences, 2003
13 pages, no figures, no ...
Bayer-Fluckiger, E., Parimala, R., Quéguiner-Mathieu, A.   +2 more
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Noncrossing partitions, toggles, and homomesy [PDF]

Discrete Mathematics & Theoretical Computer Science, 2020
We introduce n(n − 1)/2 natural involutions (“toggles”) on the set S of noncrossing partitions π of size n, along with certain composite operations obtained by composing these involutions.
David Einstein, Miriam Farber, Emily Gunawan, Michael Joseph, Matthew Macauley, James Propp, Simon Rubinstein-Salzedo   +6 more
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Involutions fixing CP(2n)×HP(2m+1) [PDF]

Journal of Hebei University of Science and Technology
In order to develop equivariant cobordism classification of manifolds with involutions whose fixed point sets are product of projective spaces, the equivariant cobordism classification of all manifolds with involutions (M,T) with fixed point set F=CP(2n)×
Suqian ZHAO, Linguang YANG, Na LIU, Rixin ZHANG, Yanhong DING   +4 more
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Weierstrass points on modular curves X0(N) fixed by the Atkin–Lehner involutions [PDF]

Arab Journal of Mathematical Sciences, 2023
Purpose – The authors have determined whether the points fixed by all the full and the partial Atkin–Lehner involutions WQ on X0(N) for N ≤ 50 are Weierstrass points or not.
Mustafa Bojakli, Hasan Sankari
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Jordan triple (α,β)-higher ∗-derivations on semiprime rings

Demonstratio Mathematica, 2023
In this article, we define the following: Let N0{{\mathbb{N}}}_{0} be the set of all nonnegative integers and D=(di)i∈N0D={\left({d}_{i})}_{i\in {{\mathbb{N}}}_{0}} a family of additive mappings of a ∗\ast -ring RR such that d0=idR{d}_{0}=i{d}_{R}. DD is
Ezzat O. H.
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