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Using this procedure, the wavelet transformation is compatible with homomorphic encryption, i.e., the property that the message m equals the sum of the messages is preserved (choosing r = R).
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The mean is preserved by choosing μ in (21b) to be the mean of the prior component.
B i stands for the i th block, and N B i for the corresponding neighbourhood from the previous block, i ∈ 1, …, N. The local connectivity is preserved by choosing each shared memory array size higher than the thread number exactly with the size of the required neighbourhood.
Since both directions of a reversible reaction are considered independently, reversibilities can optionally easily be preserved by choosing only forward reactions in line 1, and updating the reversed reaction accordingly after line 6.
"Their entire, decades-long handling of her affairs was an ongoing effort to protect and preserve her chosen lifestyle and on her explicit instructions," said John Dadakis, a lawyer representing them.
That said, Ta'if preserved the custom of choosing a Maronite president, Sunni Muslim prime minister and Shia speaker.
The slight reduction in NSF's overall 7.2% requested increase comes largely from its $6 billion research account, with the panel choosing to preserve the $892 million—a 2.5% hike sought for education programs.
An edge is put between two nodes k and j if they belong to the same class C. LPP will try to optimally preserve this graph when choosing projections.
There is, of course, a creepy dark side to choosing to preserve grandma's genetics when she can't weigh in on the decision -- her DNA might reveal stories that she's no longer around to tell and would really prefer not to.
A total of 31 strains that were phenotypically consistent with the Lactobacillus genus were chosen and preserved in 25% MRS glycerol at −70°C until DNA extraction.
Distinguishing clearly between intuitive, physical and purely formal conceptions of space, Carnap argues that, subject to the necessary constraints of certain a priori phenomenological conditions of the topology of intuitive space, the purely formal and the physical aspects of theories of space, can be adjusted to one another so as to preserve any conventionally chosen aspect.
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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