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The dimension of one of our examples is large enough to make classical grid-based HJB solvers impractical.
In the paper, we compute topological free entropy dimension of one self-adjoint element and topological free orbit dimension of one self-adjoint element in a unital C∗ algebra.
I will rephrase Strassen's conjecture in terms of tensor rank and show that it holds for three-factor tensors, whenever the dimension of one of the involved vector spaces is at most two.
So while a straight line has a dimension of one, a fractal curve like a rocky coast line will have a dimension between one and two depending on how much space it takes up as it twists and curves.
The displacement between the foci of BOLD and CBF activation was less than the linear dimension of one voxel (2.4 mm), however, BOLD activation was significantly closer to the nearest draining vein compared to CBF activation (P = 0.030).
Assuming L wind farms and T look-ahead hours are considered, the dimension of one multi-dimensional scenario is K = LT.
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This paper presents a new method for estimating the fractal dimension of one-dimensional profiles.
The most popular algorithm for computing the fractal dimension of one-dimensional and two-dimensional data is the box-counting, the method originally developed by Voss (1985).
The nest is a large, bulky stick platform; the dimensions of one nest in Guyana were 133 cm across, and 78 cm in height (Rettig 1978).
The nest is a cup; the dimensions of one nest were 15 (diameter) x 13 (height) cm (exterior) and 8 (diameter) x 9 (height) cm (interior) (Oniki and Willis 1984).
They learned to explore their individual strengths and traits through the Meyers-Briggs Test, which measures the four dimensions of one's personality type, and there were projects designed to explore their identities.
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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