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Discover LudwigThe part of the sentence 'I defines' is not correct and usable in written English.
The correct way to use it in a sentence would be 'I define', which can be used when you are describing an action you are taking. For example: "I define success as achieving personal goals and ambitions."
Exact(36)
The optimality is bidirectional in that condition (i) defines "comprehension/hearer optimality" and (ii) "production/speaker optimality".
where F j k i defines a halfplane that contains reference node j or k and is obtained as follows.
S i defines the summation of M i and the transpose matrix (mathbf {M}_{i}^{T}) {{mathbf{S}}_{i}}={{mathbf{M}}_{i}}+mathbf{M}_{i}^{T}.
Step 3: The WISP broadcasts the imposed interference to all users ( sum limits_{j=1}^N{G}_j{P}_j ) and each user i defines his sensed interference, as described in the NOMA technique.
For instance, if a knowledge base (i) defines organic and inorganic compounds as disjoint chemical classes (ii) contains the fact that cobalamin is an organic compound and (iii) also classifies cobalamin as inorganic, then a contradiction will be detected.
Here F z i |Ω i ) defines the CDF of the SNR at the outputs of microdiversity systems given with F ( z i | Ω i ) = ∫ 0 z i p ( t i | Ω i ) d t i. (9).
Similar(21)
(i) Define.
(ii) (i) Define for.
(i) Define a function by (2.12) .
(i) Define the Lyapunov function (2.9) .
for U i , U ˆ i defined as in (3.1).
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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