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In this paper, we present a result regarding the probability distribution of wavelets coefficients.
We proposed a theoretical analysis regarding the probability variation for each state considering different arrival rate, service rate and collision probability.
Using a within-subject design, placebo analgesia was induced by changing expectations regarding the probability of receiving an analgesic drug to 0%, 50%, and 100%.
In deriving this result, the stationary response statistics of a slightly more general class of oscillator (which does not satisfy detailed balance) are found, and a number of results regarding the probability current of the response are obtained.
Conditional probabilities regarding the probability of A according to the presence or the absence of M, P(A|M) and P(A∣∣¯¯¯¯M) can be estimated using methods of data mining based on growing databases.
The linking of microstructure uncertainty with the random variation of material properties at the macroscale is particularly needed in the framework of the stochastic finite element method (SFEM) where arbitrary assumptions are usually made regarding the probability distribution and correlation structure of the macroscopic mechanical properties.
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Even though there is scope for disagreement regarding the probabilities and assumptions, it is possible to make inferences from the BN that can aid the interpretations of evidence within the case.
Cost/benefit analysis is also productive regarding the probabilities of how safe it is to search for food.
However, regarding the probabilities of OS, PFS (in our study as TFS), EFS (in our study as PFS), the presented multicenter data of nonselected cohort of 458 patients are highly similar to the IRIS study 3, with the intention-to-treat analysis from Hammersmith hospital 18, and with our previous study on patients from two centers 16.
To regard the probability as being substantially higher than that — taking the RealClearPolitics state and national polling averages might imply a 20 percent probability of a split outcome, for instance — may be to overestimate the degree of precision in both state and national polling averages.
Offhand, it seems that the particular infinite sequence that is actualized will be assigned probability zero by any plausible candidate theory that regards the probability of heads as intermediate and the trials as independent.
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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