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Fault Tree Reliability Analysis via Squarefree Polynomials: Mathematical and Experimental Analysis. [PDF]
Lopuhaä-Zwakenberg M.
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Development of machine learning predictive models for estimating pharmaceutical solubility in supercritical CO<sub>2</sub>: case study on lornoxicam solubility. [PDF]
Chao L +6 more
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Enhancing bioinformatics engineering by utilizing graph therapeutic properties for clinically approved antitoxin drugs in zoonotic diseases. [PDF]
Imran M, Aqib M, Malik MA, Jutt S.
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A robust multi-location evaluation of a machine learning framework for wind power forecasting. [PDF]
Ali U +7 more
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On the Complexity of Polynomial Zeros
SIAM Journal on Computing, 1992An algorithm for simultaneous approximation of all zeros of a polynomial introduced by Householder is considered. A modification suitable for parallel computation is proposed. The root-finding problem for a polynomial of degree \(n\), having zeros \(z_ i\), \(i=1,\dots,n\) is \(NC\)- reduced to finding a polynomial \(\alpha(z)\) such that \(| \alpha(z_{
Luca Gemignani, Dario Andrea Bini
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Polynomials and Complex Polynomials
1997If F is a field and n is a nonnegative integer, then a polynomial of degree n over F is a formal sum of the form $$P(x) = {a_0} + {a_1}x + \cdots + {a_n}{x^n}$$ With a i ∈ F for i = 0, .., n, a n ≠ 0 and x an indeterminate. A polynomial P(χ) over F is either a polynomial of some degree or the expression P(χ) = 0, which is called the zero ...
Benjamin Fine, Gerhard Rosenberger
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Complexity and Approximability of the Cover Polynomial
computational complexity, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Markus Bläser +2 more
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Complexity of the Cover Polynomial
2007The cover polynomial introduced by Chung and Graham is a two-variate graph polynomial for directed graphs. It counts the (weighted) number of ways to cover a graph with disjoint directed cycles and paths, it is an interpolation between determinant and permanent, and it is believed to be a directed analogue of the Tutte polynomial. Jaeger, Vertigan, and
Markus Bläser, Holger Dell
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The Complexity of the Minimal Polynomial
2001We investigate the computational complexity of the minimal polynomial of an integer matrix. We show that the computation of the minimal polynomial is in AC0(GapL), the AC0-closure of the logspace counting class GapL, which is contained in NC2. Our main result is that the problem is hard for GapL (under AC0 many-one reductions). The result extends to
Thanh Minh Hoang, Thomas Thierauf
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