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The phrase "I assuming that" is not grammatically correct and is not commonly used in written English. It is missing a subject or verb before "assuming," making it an incomplete sentence fragment. Instead, you could use "assuming that" at the beginning of a sentence to introduce a hypothetical situation or condition. For example: "Assuming that the weather is good, we will have a picnic in the park tomorrow." In this sentence, "assuming that" means "if we assume that" or "based on the assumption that." It is a way to express a condition that may or may not be true, and the following clause describes the action or event that would take place if that condition is met. You could also use "assuming that" in a similar way to express a belief or assumption, such as: "Assuming that John is telling the truth, he will pass the lie detector test." Here, "assuming that" implies that the speaker believes that John is telling the truth and the following clause predicts what will happen if that belief is correct. Overall, "assuming that" is a useful phrase for expressing hypothetical or conditional situations in writing. However, using it in an incomplete sentence, as in "I assuming that," is not grammatically.
Exact(13)
(i) Assuming that the conditions of Theorem 1 hold, then we have, as (Trightarrowinfty), hat{sigma}^{2}_{T}stackrel{P}{rightarrow} sigma^{2}.
Repeating the procedure for m=1,…,K results in the global optimum of cell i, assuming that the allocations in the other cells are unchanged.
However, Andersen et al (2008) show empirically that this arises from (i) assuming that groups of people are homogenous with respect to which functional forms best describe their discounting behavior, and (ii) failure to independently elicit and control for people's differing levels of risk aversion in estimating their discount functions.
If necessary, the proposed algorithm allocates a subband b ∈ N b per iteration i, assuming that queue length and available transmit power (APA cases only) are updated, in each iteration, by taking into account the data rate and power (APA cases only) allocated to subband b.
We seek an evolutionarily stable strategy π*, that maximises the long-term survival of individual i, assuming that its co-player j also adopts the ESS, and taking into account errors in decision-making as detailed below.
The p-value of a score s i is defined as the probability of observing a score as extreme as or more extreme than s i, assuming that the null hypothesis is correct.
Similar(46)
(i) Assume that.
(i) Assume that f is convex.
(i) Assume that is nondecreasing in.
I assume that's facetious.
I assume that was a good combination?
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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