We describe an approach to the circulant Hadamard conjecture based on Walsh-Fourier analysis. We show that the existence of a circulant Hadamard matrix of order n is equivalent to the existence of a non-trivial solution of a certain homogenous linear system of equations. Based on this system, a possible way of proving the conjecture is proposed.

The rheological properties of the CMT gel were analysed. Data are presented to demonstrate that the gel is a non-homogenous, visco-elastic, non-Newtonian fluid with rheopectic, and rheodestructive behaviour. The fundamental chemistry of the CMT is reviewed and a modified theory of gel formation is presented. The implications of the rheological properties and modified theory of gel formation for...

In this paper, we propose a technique for video segmentation using non-linear diffusion, incorporating watershed transform, colour similarity merging and motion estimation. The current frame t to be segmented is spatially partition into homogenous regions based on watershed transform with colour similarity merging in the CIELUV colour space. A future frame t + x, is then used as reference to es...

The paper introduces an input-driven generative model for tree-structured data that extends the bottom-up hidden tree Markov model with non-homogenous transition and emission probabilities. The advantage of introducing an input-driven dynamics in structured-data processing is experimentally investigated. The results of this preliminary analysis suggest that input-driven models can capture more ...

The influence of different parallel genetic algorithm (PGA) architectures on the GA convergence properties is analysed. Next, two proposed versions of these PGA architectures are compared – homogenous and heterogeneous. Finally the effect of re-initialisation in some partial populations on the PGA convergence has been analysed. The proposed PGA modifications are useful mainly in case of non-smo...

It is important to ensure that a grounding system designed with low magnitude of earth resistance, so the protection can divert large fault current effectively. The performances and level need be acknowledged as condition soil structure changes different characteristics. At present, there lack systematic guide or standards for grid designs consider non-uniform its impact on systems. By computin...

We study the well-posedness for initial boundary value problems associated with time fractional diffusion equations non-homogenous and values. consider both weak strong solutions problems. For solutions, we introduce a definition of which allows to prove existence solution non-zero values non-homogeneous source terms lying in some negative-order Sobolev spaces. an optimal compatibility conditio...