Consider a matrix A(N × 2 m ) over the real field whose columns correspond in order to the elements of the group G. The elements of A are 1 and (1), and are obtained as follows. The elements of A in the column
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Patients with tumours harbouring recent subclonal expansions, on the terminus of a phylogenetic branch, had significantly shorter disease-free survival. Subclonal WGD was detected in 19% of tumours, and 10% of tumours harboured multiple subclonal WGDs in parallel. Subclonal, but not truncal, ...
The rank of G, written as r, is defined to be the rank of its adjacency matrix. Let c denote e−v+θ, where e=|E|, v=|V| and θ means the number of connected components of G, and let m,α,χ′ respectively be the matching number, the independence number, and the chromatic...
One of the fundamental questions about human language is whether all languages are equally complex. Here, we approach this question from an information-theoretic perspective. We present a large scale quantitative cross-linguistic analysis of written language by training a language model on more than ...
Other methods are the δ-test (Pi & Peterson, 1994), the use of the rank of linearised systems (Autin, Biey, & Hasler, 1992), the mutual information criterion (Zheng & Billings, 1996), the coherence function of input–output data (Krishnaswami, Kim, & Rizzoni, 1995), the orthogonal...
Case 2 Suppose none of q_i can be expressed as a linear combinations of the column vectors of the matrix \psi(A) , for i=1,2,···,s . Then we have rank_p(\psi(A))+1\leq{rank_p}([\psi(A),q_1,q_2,···,q_s]) . Moreover, it follows from Eq. (5) that rank_...
Atrial fibrillation disorders are one of the main arrhythmias of the elderly. The atrial and ventricular activities are decoupled during an atrial fibrillation episode, and very rapid and irregular waves replace the usual atrial P-wave in a normal sinus
The results, as they are discussed in more detail in Section 4 and Section 5, are in accordance with a previous study which shows that the main internal factors behind an MTA are the following: the nationality of the employee, the rank of the injured person, the working deck, and the ye...
overfitting or data duplication both in the set of articles and the set of concepts. We rank methods based on their performance, with model M1 as the best performing and model M8 as the least effective (for the prediction of a new edge withδ = 3,c = 0). Models M4 and M7...