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(68) It is not difficult to check that the diffusion equation (68) takes the specific form partial _{t} n = frac{tau_{0} c^{2} }{ 2}artial _{j} biggl(partial _{j} n pmfrac{n}{k_{B}T},partial _{j} V biggl) (69) in the Maxwell-Boltzmann limit and partial _{j} n = frac{tau_{0} c}{2},pmfrac{n_{j}{k_{gl(c,partial _{j} n pmfrac{1}{hB}T}qrt{pi}} sqrt{n},partial _{j} V biggr).
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Knowledge of the skeletal anatomy is limited, as only limb and partial pelvis and skull bones have been recovered to date.
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Such equations involve, but are not limited to, ordinary and partial differential, integro-differential, and fractional order operators.
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Zhao et al. [20] obtained the following almost sure limit theorem for maximum and partial sums of standardized nonstationary Gaussian sequence.
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