which implies the independence vs which implies the independence of

Both phrases are correct, but they are used in different contexts. 'Which implies the independence' is used when the sentence structure requires a shorter form, while 'which implies the independence of' is used when more clarity and detail are needed.

Last updated: March 17, 2024 • 662 views

which implies the independence

This phrase is correct and can be used when a shorter form is needed in a sentence.

This phrase is used when a shorter form is required in a sentence to convey the idea of independence being implied by something else.

Examples:

The study's conclusion, which implies the independence of the variables, was groundbreaking.
The statement, which implies the independence, was met with skepticism.

Show examples from the web [+]

The DAG representation provides a perfect language for intransitive. dependencies via the converging pattern E 1 ! E 3. E 2, which implies the independence.
2 . Since F ◦ T has m linearly independent component functions, we have a1 = ··· = am = 0, which implies the independence of m component functions of F.
Any model which implies the independence between a partially observed variable X and the missingness indicator of another variable Y (i.e. R_y ), conditional ...
Mar 21, 2011 ... Respect for the absolute freedom of conscience, which implies the independence of the public sphere with respect of the religious norms ...

Alternatives:

which implies independence
which implies freedom
which suggests independence
which indicates independence
which hints at independence

which implies the independence of

This phrase is correct and is used when more clarity and detail are needed in a sentence.

This phrase is used when a sentence requires more clarity and detail to convey the idea of independence being implied by something else.

Examples:

The study's conclusion, which implies the independence of the variables, was groundbreaking.
The statement, which implies the independence of the two countries, sparked a debate.

Show examples from the web [+]

2 . Since F ◦ T has m linearly independent component functions, we have a1 = ··· = am = 0, which implies the independence of m component functions of F.
the efficient use of an information set, which implies the independence of a sequence of one- step-ahead errors. For our inflation density forecasts, an “error” is ...
the efficient use of an information set, which implies the independence of a sequence of one- step-ahead errors. For our inflation density forecasts, an “error” is ...
30. :)|(. 3. BAP are identical which implies the independence of the categories of the attributes A and B . Finally we comment that categorical variables. B. Aand.

Alternatives:

which implies the freedom of
which suggests the independence of
which indicates the independence of
which hints at the independence of
which signifies the independence of

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which implies the independence vs which implies the independence of