An exact analytical solution in the form of double Fourier series with time-depending coefficients is obtained for the hydrodynamic pressure.
The symplectic covariance property of Gabor frames studied above can be interpreted as a first result on Hamiltonian deformations of frames because, as we will see, every symplectic matrix is the value of the flow (at some time t) of a Hamiltonian function which is a homogeneous quadratic polynomial (with time-depending coefficients) in the variables x j, p k.
In addition, there are various possibilities for the individual realization of these structures, depending on coefficient format, state variable format, quantization points and used overflow characteristics.
Pearson's correlation coefficients (or Spearman's rank correlation coefficients, depending on the distribution of the data) will be used to assess the relationships between continuous outcome measures.
Overlap between significant gene-sets is computed according to the Jaccard coefficient or overlap coefficient, depending on the user's choice.
Depending on the coefficients, the following equations were established between the independent and dependent variables.
It provides quantitative values of friction coefficient and heat partition coefficient depending on sliding velocities.
In literature, there are only state equations depending on many coefficients for R12, R22, and R502.
where a n,n = 0,…,2l + m−2, are the real coefficients depending on f and g.
The tap weight coefficients depending on whether the transmitted bit is zero or one.
Where λ and δ are coefficients depending on the message size and the IPC mechanism.
