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For simplicity, put u ˜ n = P C ( u n − λ ∇ f α n ( u n ) ).
For simplicity put w t = z t, n t and V t = J r n t.
For simplicity, put t n = P C ( I − λ n ∇ f α n ) v n for each n ≥ 0. Note that P C ( I − λ ∇ f ) p = p for λ ∈ ( 0, 2 L ).
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The web interface is designed for simplicity, putting constraint-based modelling techniques within easier reach of biologists.
That's quite a burden of simplicity to put on a figure who must carry a two-hour film; you can detect the strain during some of the date scenes, where Phoenix is required to gurgle with happiness one too many times – he wears the fixed grin of a man on a visit to the dentist.
For simplicity, we put for.
For simplicity we put 0 ∈ Ω.
Further, for the sake of simplicity, we put and prove that (2.9).
For simplicity, we put y ˜ n = P C ( y n − λ ∇ f α n ( y n ) ) and z ˜ n = P C ( z n − λ ∇ f α n ( z n ) ) for every n ≥ 0. Then z n = β n Q y n + ( 1 − β n ) T y ˜ n and x n + 1 = σ n z n + γ n z ˜ n + δ n Γ z ˜ n for every n ≥ 0. Taking into account 0 < lim inf n → ∞ σ n ≤ lim sup n → ∞ σ n < 1, without loss of generality, we may assume that { σ n } ⊂ [ c, d ] for some c, d ∈ ( 0, 1 ).
The golden-hued voice is used with becoming taste too; Ms. O'Hara sings with a simplicity that puts character before personality, communication before attention-getting vocalism.
While boxing is mired in a sea of fractured organizations with their own titles and their own sets of flimsy rules, the UFC offer a simplicity that puts them at an advantage.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com