Let (H, G, U) be a continuous representation of a Lie group G by bounded operators g ↦ U g) on the Banach space X and let (X, g, dU) denote the representation of the Lie algebra g obtained by differentiation.
Let us denote the representation of the section.
Let (mathrm {Mp} times W rightarrow W), ((g,w) mapsto tau (g) w) denote the representation of (mathrm {Mp}) on W defined by first applying the covering map (mathrm {Mp} rightarrow mathrm {Sp}_mathbb {R}) and then the standard representation of (mathrm {Sp},).
Similarly, let ψ ̄ k, i - 1 l denote the representation of the same ψk,i-1relative to the local coordinate system at time i, namely, ψ ̄ k, i - 1 l = G k, i ( ψ k, i - 1 - x k, i ) = G k, i ( ( ψ k, i - 1 - x k, i - 1 ) - ( x k, i - x k, i - 1 ) ) = G k, i l ψ k, i - 1 l - v ̄ k, i - 1 l Δ t (40).
The term 'utility' denotes the mathematical representation of preference relations.
where B denotes the binary representation of an integer number and M denotes total number of base pair in each genome, in the case of human genome M = 3 billions.
For example, (mathbb {M}_{text {aniso}}) denotes the mesh and representation according to the metric tensor (mathbb {M}_{text {aniso}}).
denote the vector representation of a multipath channel of user.
In the remainder, we denote the particle representation of a distribution by.
We use the symbol (O) in the superscript to denote the Oz representation of the given expression.
