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Consider the pre-Hilbert space of models f (x; a) = Σ a x ·K(x', x) where the sums are initially over finitely many x ;where K (u, v), is a piecewise continuous, bounded symmetric, non-negative kernel function on V × V, positive at diagonal points (u u); and where the matrix K (z i, z j) is positive semi-definite for any finite { z i} ⊆ V (positive definite for distinct z i ).
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The street protests across Bulgaria, which is the EU's poorest country, were initially over high electricity prices but soon took an anti-government turn.
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The cost of running the trains and infrastructure, or cash operating costs, was initially over NT$1 billion a month, but was reduced to around NT$0.85 0.9 billion a month by 2008.
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In this study, we assumed that the promoter strength parameters are initially distributed uniformly over a broad range; however, experimentally the distribution would likely be nonuniform.
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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