with the well-known results vs with well-known results

Both phrases are correct, but they are used in different contexts. 'With the well-known results' is used when referring to specific, previously mentioned results that are well-known. 'With well-known results' is used when talking about results in general that are widely recognized.

Last updated: March 19, 2024 • 1243 views

This phrase is correct and commonly used when referring to specific, previously mentioned results that are well-known.

"with the well-known results"

This phrase is used when you want to emphasize that the results being mentioned are already familiar or famous.

Examples:

The study confirmed our suspicions, with the well-known results clearly supporting our hypothesis.
She presented the project with the well-known results from previous research.

Show examples from the web [+]

Dec 24, 2015 ... The expression received for the sound velocity matches with the well-known results in both low and high temperature limits. The results of this ...
Jul 30, 2015 ... ... of the scattering theory in the photon scattering by a single emitter, and examine the correctness of our theory with the well-known results.
... light scattering spectrum from a fluid undergoing a plane Couette flow. Our corrected results are in complete agreement with the well-known results.
more, compatibility with the well-known results for this problem provides a test of the efficacy of the first-principles-based simula- tion methodology employed ...

Alternatives:

with those well-known results
with these well-known results
with some well-known results
with certain well-known results
with familiar results

This phrase is correct and commonly used when talking about results in general that are widely recognized.

"with well-known results"

This phrase is used when you want to refer to results that are well-known in a general sense, without specifying particular results.

Examples:

The company has a reputation for producing products with well-known results.
The research team is known for their work with well-known results in the field.

Show examples from the web [+]

Nov 9, 2015 ... Combining this insight with well-known results of Mémin and Słominski ( Séminaire de Probabilités de Strasbourg XXV, pp. 162–177, 1991) ...
... topology which has been introduced by C. Stricker [32]. Combining this insight with well known results from J. M´emin and L. S lominski [26]... Working Papers ...
The integration of the ideas in this paper with well-known results in contractual theory allows us to understand the form of optimal wage contracts in different ...
contrasts with well-known results for bounded noise. In low-noise regimes, we find that the la- bel complexity is well-characterized by a simple combinatorial ...

Alternatives:

with widely recognized results
with famous results
with renowned results
with established results
with acknowledged results

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with the well-known results vs with well-known results