A new method of measuring plastic limit of fine materials

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Spectral Orbits and Peak-to-Average Power Ratio of Boolean Functions with respect to the {I,H,N}^n Transform

We enumerate the inequivalent self-dual additive codes over GF(4) of blocklength n, thereby extending the sequence A090899 in The On-Line Encyclopedia of Integer Sequences from n = 9 to n = 12. These codes have a well-known interpretation as quantum codes. They can also be represented by graphs, where a simple graph operation generates the orbits of equivalent codes. We highlight the regularity and structure of some graphs that correspond to codes with high distance. The codes can also be interpreted as quadratic Boolean functions, where inequivalence takes on a spectral meaning. In this context we define PAR_IHN, peak-to-average power ratio with respect to the {I,H,N}^n transform set. We prove that PAR_IHN of a Boolean function is equivalent to the the size of the maximum independent set over the associated orbit of graphs. Finally we propose a construction technique to generate Boolean functions with low PAR_IHN and algebraic degree higher than 2.Comment: Presented at Sequences and Their Applications, SETA'04, Seoul, South Korea, October 2004. 17 pages, 10 figure

On Invariant Notions of Segre Varieties in Binary Projective Spaces

Invariant notions of a class of Segre varieties \Segrem(2) of PG(2^m - 1, 2) that are direct products of $m$ copies of PG(1, 2), $m$ being any positive integer, are established and studied. We first demonstrate that there exists a hyperbolic quadric that contains \Segrem(2) and is invariant under its projective stabiliser group \Stab{m}{2}. By embedding PG(2^m - 1, 2) into \PG(2^m - 1, 4), a basis of the latter space is constructed that is invariant under \Stab{m}{2} as well. Such a basis can be split into two subsets whose spans are either real or complex-conjugate subspaces according as $m$ is even or odd. In the latter case, these spans can, in addition, be viewed as indicator sets of a \Stab{m}{2}-invariant geometric spread of lines of PG(2^m - 1, 2). This spread is also related with a \Stab{m}{2}-invariant non-singular Hermitian variety. The case $m=3$ is examined in detail to illustrate the theory. Here, the lines of the invariant spread are found to fall into four distinct orbits under \Stab{3}{2}, while the points of PG(7, 2) form five orbits.Comment: 18 pages, 1 figure; v2 - version accepted in Designs, Codes and Cryptograph

The natural capital accounting opportunity: Let s really do the numbers

This work was conducted as a part of the “Accounting for U.S. Ecosystem Services at National and Subnational Scales” working group supported by the National Socio-Environmental Synthesis Center under funding received from the National Science Foundation (grant no. DBI-1052875) and the US Geological Survey John Wesley Powell Center for Analysis and Synthesis (grant no. GX16EW00ECSV00)

Symplectic spreads and permutation polynomials

Every symplectic spread of PG(3, q), or equivalently every ovoid of Q(4, q), is shown to give a certain family of permutation polynomials of GF(q) and conversely. This leads to an algebraic proof of the existence of the Tits-Lüneburg spread of W(2 2h+1) and the Ree-Tits spread of W(3 2h+1), as well as to a new family of low-degree permutation polynomials over GF(3 2h+1)

Overcoming “Crisis”: Mobility Capabilities and “stretching” a Migrant Identity among Young Irish in London and Return Migrants

This paper is closed access until 25 March 2020.We bring into dialogue the migrant identities of young Irish immigrants in the UK and young returnees in Ireland. We draw on 38 in-depth interviews (20 in the UK and 18 in Ireland), aged 20-37 at the time of interview, carried out in 2015-16. We argue that ‘stretching’ identities – critical and reflective capabilities to interpret long histories of emigration and the neglected economic dimension need to be incorporated into conceptualising “crisis” migrants. Participants draw on networks globally, they choose migration as a temporary “stop-over” abroad, but they also rework historical Irish migrant identities in a novel way. Becoming an Irish migrant or a returnee today is enacted as a historically-grounded capability of mobility. However, structural economic constraints in Irish labour market need to be seriously considered in understanding return aspirations and realities. These findings generate relevant policy ideas in terms of relations between “crisis” migrants and the state