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Improved Rate Model of Temperature-Dependent Development by Arthropods
Two improvements to the Logan model of temperature-dependent development were proposed, first eliminated a redundant parameter then incorporated an intercept parameter, thereby resolving the inability of the original model to estimate a low-temperature developmental threshold. Expand
Complex Golay sequences: structure and applications
It is shown how to construct a large variety of sets of four complex sequences with zero autocorrelation, suitable for the construction of various matrices such as Hadamard matrices, complex Hadamards matrices and signed group HadamARD matrices over the dihedral signed group. Expand
Signed Groups, Sequences, and the Asymptotic Existence of Hadamard Matrices
  • R. Craigen
  • Mathematics, Computer Science
  • J. Comb. Theory, Ser. A
  • 1 August 1995
New values of t are obtained such that, for any odd number p, there exists an Hadamard matrix of order 2 t p, and there exists a circulant signed group Hadamards matrix of every even order n, using a suitable signed group. Expand
The associativity equation revisited
SummaryConsideration of the Associativity Equation,x ∘ (y ∘ z) = (x ∘ y) ∘ z, in the case where∘:I × I → I (I a real interval) is continuous and satisfies a cancellation property on both sides,Expand
In 1867, Sylvester considered n × n matrices, ( a ij ), with nonzero complex-valued entries, which satisfy ( a ij )( a ij −1 ) = nI Such a matrix he called inverse orthogonal . If an inverseExpand
Circulant partial Hadamard matrices
Abstract A question arising in stream cypher cryptanalysis is reframed and generalized in the setting of Hadamard matrices as follows: For given n, what is the maximum value of k for which thereExpand
On orthogonal matrices with zero diagonal
We consider real orthogonal $n\times n$ matrices whose diagonal entries are zero and off-diagonal entries nonzero, which we refer to as $\mathrm{OMZD}(n)$. We show that there exists anExpand
On the nonexistence of Hermitian circulant complex Hadamard matrices
We prove that there is no circulant Hermitian complex Hadamard matrix of order n > 4.
Further explorations into ternary complementary pairs
This paper investigates patterns among those lengths and weights that are within easy computational distance from the last length considered therein, length 14, and provides support for the previous conjectures, and shed enough new light to speculate further as to the likely ultimate shape of the theory. Expand