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International Journal of Foundations of Computer Science, 2007
In this paper we study a generalization of the classical notions of bordered and unbordered words, motivated by DNA computing. DNA strands can be viewed as finite strings over the alphabet {A, G, C, T}, and are used in DNA computing to encode information. Due to the fact that A is Watson-Crick complementary to T and G to C, DNA single strands that are
Lila Kari, Kalpana Mahalingam
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In this paper we study a generalization of the classical notions of bordered and unbordered words, motivated by DNA computing. DNA strands can be viewed as finite strings over the alphabet {A, G, C, T}, and are used in DNA computing to encode information. Due to the fact that A is Watson-Crick complementary to T and G to C, DNA single strands that are
Lila Kari, Kalpana Mahalingam
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The Mathematical Gazette, 1947
We prove some theorems on commutative involutions in a “real” projective geometry in which cobasal homographie ranges may have 0, 1 or 2 self-corresponding points (and therefore a conic and a general line in its plane have 0, 1 or 2 points of intersection).
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We prove some theorems on commutative involutions in a “real” projective geometry in which cobasal homographie ranges may have 0, 1 or 2 self-corresponding points (and therefore a conic and a general line in its plane have 0, 1 or 2 points of intersection).
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The Annals of Mathematics, 1957
1. R. H. Bing [1] has given an example of an involution of a 3-sphere whose fixed points constitute a wild (horned) 2-sphere. This shows that an involution in a euclidean n-sphere, SO, is not necessarily conjugate, in the group of homeomorphisms SO' -* S~', to an orthogonal transformation (cf. Problem 39 in [2]).
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1. R. H. Bing [1] has given an example of an involution of a 3-sphere whose fixed points constitute a wild (horned) 2-sphere. This shows that an involution in a euclidean n-sphere, SO, is not necessarily conjugate, in the group of homeomorphisms SO' -* S~', to an orthogonal transformation (cf. Problem 39 in [2]).
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Canadian Journal of Mathematics, 1974
In this note we prove some results which assert that under certain conditions the involution on a prime ring must satisfy a form of positive definiteness. As a consequence of the first of our theorems we obtain a fairly short and simple proof of a recent theorem of Lanski [3].
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In this note we prove some results which assert that under certain conditions the involution on a prime ring must satisfy a form of positive definiteness. As a consequence of the first of our theorems we obtain a fairly short and simple proof of a recent theorem of Lanski [3].
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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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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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Programming and Computer Software, 2004
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