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If U is the commutant of a strictly cyclic unilateral weighted shift with a monotonically decreasing weight sequence, then we show that there is a natural isomorphism of the Banach space of bounded linear maps from U into B(H) with the Banach space of bounded linear maps of the trace class operators into H, where H is a separable, infinite dimensional Hilbert space.
If the network is weighted, then filtering by increasing or decreasing weight yields a filtered 1-dimensional simplicial complex.
There are a lot of benefits of decreasing weight.
The idea of decreasing weight by increasing your intake of fats seemed dangerous.
These defects can also favour bacterial overgrowth and partially decreasing weight gain in the animals21,32,36,39,40,47,56.
We now show that for a general monotonically decreasing weight function W, the function M ( r, ω ) is necessarily a monotonically decreasing function of r.
Similar(29)
It is shown that a CPINAR(1) process is strongly mixing with exponentially decreasing weights.
A similar theorem can be proved for decreasing weights.
We therefore used only those stations within 50 km, with a smoothly decreasing weighting factor.
This PSF shows decreasing weights from Caucasians to Latinos and African Americans, and then to Native Americans and Asians.
Yoga offers a promising lifestyle intervention for decreasing weight-related type 2 diabetes risk factors and potentially increasing psychological well-being.
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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