Exact(2)
If this proposal were accepted, then a relationist theory of the motions of particles could be formulated as F = ma, where a is understood as acceleration with respect to the bulk mass of the universe.
For every x, y ∈ ℝ, [ x, y ) = { t ∈ ℝ : x ≤ t < y }, define a countably additive measure m1 on the set F 1 = { [ ã, b ̃ ) ∩ T : ã, b ̃ ∈ T, ã ≤ b ̃ }, that assigns to each interval [ ã, b ̃ ) ∩ T its length, that is, m 1 ([ ã, b ̃ )) = b ̃ - ã. The interval [ ã, a ) is understood as the empty set.
Similar(58)
A model is understood as an abstract representation of the real world respectively of a real system.
Following the reinforcement model an error is understood as a negative reinforcement signal processed within the mesencephalic dopaminergic system.
Similarly, if we take F 2 = { ( a ′, b ′ ] : a ′, b ′ ∈ T, a ′ ≤ b ′ }, where ( a ′, a ′ ] is understood as an empty set, then m 2 : F 2 → [ 0, ∞ ] such that m 2 ( ( a ′, b ′ ] ) = b ′ − a ′ is a countably additive measure.
"The voice of a bell is understood as just that," he said.
Once a joke is understood as funny, the motor aspects of laughter initiate.
Further the natural filtration of a process is understood as the ℙ-completion of the filtration generated by this process.
In Norway a CAM provider is understood as a practitioner providing CAM both as alternative and complementary treatment.
In business and management literature an analogous phenomenon is understood as the business ecosystems.
Nowadays, the BBB is understood as a complex regulated system.
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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