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But a year of living dangerously has changed all the previous assumptions.
The validity of the previous assumptions should be properly checked in each particular case.
According to the previous assumptions, the following correlation and pseudocorrelation matrices can be written as (3).
The previous assumptions (i) and (ii) ensure that (alphain operatorname{KAA}(mathbb{R},mathbb{R} )).
However, they mainly consider specific scenarios in the USA where the previous assumptions might be realistic.
Strong consistency of the ridge estimates is also obtained for some biasing parameters using the previous assumptions on the errors.
Similar(22)
This has led to a reassessment of the previous assumption that the clitoris and "g-spot" were separate entities: instead, they form the north and south of the same neural structure.
Bankers involved in the discussions say that, with companies closing down by the day and money disappearing under mattresses, the previous assumption that Cyprus's economy might contract by only 3 percent this year has been discarded.
The forecasts are based on an average oil price of $96 per barrel for Brent crude this year, up from the previous assumption of an average price of $84 per barrel in December.
This is a higher order extension of the previous assumption.
Hence, the previous assumption may not be realistic.
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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