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We note that in the GRMHD conservation law the connection coefficient terms (source) terms occur.
This is the essence of the validity of ignoring the source (connection coefficient) terms in the GRMHD Riemann solvers and is a manifestation of the equivalence principle.
The resulting 10 6 realizations of each connection coefficient r i j were used to infer the structure of the ERBB regulated G1/S transition mechanism.
In most cases, a few realizations (typically <1 %) of a connection coefficient r i j had very different values from the bulk of its values.
The resulting connection coefficient matrices (in case of stochastic MRA and LMML) and weight matrices (in case of SBRA) were then used to calculate the corresponding AUROC and AUPR values.
Below, we outline the proposed Bayesian algorithm, whereas further details can be found in 'Methods' section and Additional file 1. Eq. 4 represents a mathematical relationship between the network topology (A i j ), the strength of each interaction (the connection coefficient r i j ) and the measured noisy perturbation responses (R i j ) of the network components.
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A concept of connection coefficients, introduced to reduce the computational effort involved, is described.
Fast and efficient methods of evaluation of the connection coefficients between shifted Jacobi and Bernstein polynomials are proposed.
Computation of "connection coefficients", effects of boundary conditions, wavelet resolution and wavelet order are examined in order to adequately replicate the dynamic response.
As a typical problem of SGW algorithm, the calculation of the connection coefficients is described, based on the equivalent filters of SGWs.
In the frame of the traditional wavelet-Galerkin method based on the compactly supported wavelets, it is important to calculate the so-called connection coefficients that are some integrals whose integrands involve products of wavelets, their derivatives as well as some known coefficients in considered differential equations.
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