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Discover Ludwig"sum term" is not correct and usable in written English
To use it correctly, you can use the phrase "in sum," which means "in summary" or "in conclusion." For example: "In sum, the experiment has shown that the new treatment is an effective way to treat the disease."
Exact(10)
Hence, all contributions from the sum term are undesirable and will contaminate the CSI.
Consequently, the undesirable part of the pilot signal, i.e., the sum term in (2), varies rapidly between time slots compared to the variation caused by the mobility of a single contaminator in a fixed schedule.
The second sum term on the right hand side represents a geometric series, so that similarly to (10) the si-function can be used to obtain an approximation, which is given as (A.3).
where ω n =2πn/T p (n is the integer number); n = 0 in the sum term corresponding to the averaged intensity distribution for one period has been omitted.
Here, only signals leading to contamination are included in the sum term since any (h^{ij}_{n} boldsymbol {x}^{ij}_{n}) ∀ i,jnotin mathcal {C}_{n}^{kell }) are removed when correlating with the applied pilot sequence.
The sum term ∑ j = 1, ≠ m M p j, k g j, n m ( k ) represents the aggregate interference generated at the m th user's receiver on channel k created by all other SUs, i.e., from inter-cell as well as intra-cell.
Similar(50)
Competent square power (16) and combination (17) derivatives form additional sum terms of the 2nd order partial DE (15).
D-PNN constructs a general partial differential equation, which defines a system model of dependent variables, applying integral fractional polynomial sum terms.
where (Y_{k}^{SIG}), (Y_{k}^{IF}) and (Y_{k}^{ISI}) are the first, second and third sum terms of Eq. (22), respectively.
Basically, the idea consists on sequentially evaluating the sum terms, using a series of thresholds which are associated with the confidence that a partial output will coincide with the overall network classification criterion.
One can also clearly see that the sum terms are adding together "interfering constructively" for some periods of time, while for the other periods of time, it looks like as if they cancel each other out.
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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