The phrase "alone is sufficiently" is not correct in standard written English.
It lacks clarity and completeness, making it difficult to understand the intended meaning without additional context.
Example: "The evidence alone is sufficiently compelling to warrant further investigation."
Alternatives: "by itself is adequate" or "on its own is enough."
Although formulas with numerous vertical lines may quickly become visually confusing and hard to parse, it is straightforward to prove that ∣ alone is sufficiently expressive to define all the truth-functions.
If a feature such as facial width alone is sufficiently important for recognition, we reasoned that it might be possible to trick crayfish into making false identifications by using non-familiar animals with their facial widths closely matched to those of the crayfish encountered during the agonistic learning encounter.
He said that of all the world's religions he preferred Buddhism and Christianity because these two alone are sufficiently pessimistic about the human condition.
Group 2A refers to factors that, stand alone, are sufficiently strong to deviate from randomisation, a control group and/or blinding.
The control noise filter was not employed for these validations analyses to save computing time, since it was found that for this dataset the direction and tracking filters alone were sufficiently efficient.
"Our central conclusion is that monetary policy alone is a sufficiently powerful and flexible tool to end recessions," they wrote.
This suggests that anatomical/CT-CT coregistration alone is not sufficiently accurate to guarantee proper evaluation of the true PET-histopathology agreement.
OBJECTIVE: Several authorities advocate the use of preoperative angiography to determine the resectability of pancreatic and periampullary tumors, claiming that CT alone is not sufficiently accurate for this purpose.
Moreover, at least the group of Wang is convinced that ADM alone is not sufficiently efficacious, but coadministration of complement factor H, an ADM binding protein, is necessary [12].
Even using differential correction1, GPS alone is not sufficiently accurate to guide pedestrians in urban environments, because there are no distinct roads but narrow to broad paths to walk on.
