Now, the Hot 100 is determined by a shifting formula that weights sales, airplay, and streaming numbers in roughly equal thirds.
Finally, the field tensors are passed down the tree, utilising the shifting formula F n ( z + x ) = ∑ | m | = 0 p − | n | x m m !
The FMM algorithm essentially works these equations backwards: in a first step, the multipoles M m ( z ) are computed for each cell via (28c) and by utilising those of daughter cells via the shifting formula M m ( z + x ) = ∑ n = 0 m x n n !
When using the implicit Euler formula and the shifted Grünwald formula, it has been shown that the related discretizations lead to a linear system whose coefficient matrix has a Toeplitz-like structure.
So we adopt the "shifted" Grünwald formula to approximate the space fractional derivatives (_{x}R^{beta x,t)}u x,t)) and the "standard" Grünwald formula to approximate the space fractional derivatives (_{x}R^{gamma x,t)}u x,t)).
The Return, by Victoria Hislop (Review, £17.99) Shifting the formula of her debut The Island from Greece to Spain, Hislop wraps another British innocent-abroad envelope around a meaty – and moving – slice of modern history.
The fractional diffusion equation is discretized by the implicit finite difference scheme with the shifted Grünwald formula.
It is shown that the fractional Crank Nicholson method based on the shifted Grünwald formula is unconditionally stable.
The implicit finite difference scheme with the shifted Grüwald formula for discretizing the fractional diffusion equations (FDEs) often results in the ill-conditioned non-Hermitian Toeplitz systems.
The implicit finite difference scheme with the shifted Grünwald formula, which is unconditionally stable, is employed to discretize fractional diffusion equations.
