Used and loved by millions
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
optimal results for
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "optimal results for" is correct and usable in written English.
You can use it when discussing the best possible outcomes or performance in relation to a specific task, project, or goal. Example: "To achieve optimal results for the marketing campaign, we need to analyze our target audience thoroughly."
✓ Grammatically correct
Science
News & Media
Formal & Business
Alternative expressions(5)
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Human-verified examples from authoritative sources
Exact Expressions
60 human-written examples
Adapted particle swarm optimization (PSO) algorithm is used to obtain optimal results for the coordination of relays.
While this method provides automatic selection for the regularization parameters, it is not clear what would be an appropriate choice for the column vector b and to what extent the optimization obtained for this inverse problem yields optimal results for the classification problem.
Science
Does it produce optimal results for everyone?
Academia
We also obtain optimal results for minimal growth in terms of average Lp-norms.
No single method produced optimal results for all axis orientation parameters when reconstructing movement trials.
Science
A sensitivity analysis is performed to further examine the variation in optimal results for different financial assumptions and objective weightings.
Science
Finally, by comparing velocity, acceleration and jerk of the derived functions, optimal results for the transition curves are provided.
Science
After reviewing all this information, I still suggest seeing an accountant if you are going through this process for the first time, just to be sure you're on the right track and getting the optimal results for your situation.
News & Media
The program generates a set of optimal parameters called Pareto set corresponding to each Pareto front, which is a set of optimal results for the objective functions.
The dimensions of the developed absorber are minimized to provide optimal results for frequencies ranging from 50 kHz to 500 kHz for an incident A0 mode.
Science
The optimal results for the case study indicate that the optimal biomass gasification based BCHP system saves 45.4% ATC and reduces 90.4% CO2 emission than the SP system.
Science
Expert writing Tips
Best practice
When aiming for "optimal results for" a specific goal, clearly define the metrics for success beforehand to ensure targeted efforts.
Common error
Avoid using "optimal results for" when 'satisfactory results' are actually sufficient. "Optimal" implies the absolute best possible outcome, which may not always be necessary or realistic.
Source & Trust
82%
Authority and reliability
4.5/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "optimal results for" functions as an adjectival phrase modifying a noun, specifying that the results are the best possible in a given context. Ludwig shows it's commonly used to describe desired outcomes in various situations.
Frequent in
Science
75%
News & Media
15%
Formal & Business
10%
Less common in
Academia
0%
Encyclopedias
0%
Wiki
0%
Ludwig's WRAP-UP
In summary, the phrase "optimal results for" is a grammatically correct and frequently used expression that signifies the best possible outcomes in a specific context. Ludwig AI confirms its validity. It is most commonly found in scientific and formal business writing, indicating a high degree of formality. When using this phrase, ensure that 'optimal' truly reflects the best possible outcome and not just a satisfactory one. Consider alternatives like "best outcomes for" or "ideal results for" if a less stringent connotation is intended.
More alternative expressions(6)
Phrases that express similar concepts, ordered by semantic similarity:
best outcomes for
Replaces "optimal results" with a more common synonym, focusing on the achievement of favorable results.
ideal results for
Substitutes "optimal" with "ideal", suggesting the most desirable or perfect outcomes.
maximum benefits for
Shifts the focus from results to benefits, implying that the outcomes are advantageous.
best possible outcomes for
Emphasizes the potential for achieving the best results, adding a sense of possibility.
peak performance for
Emphasizes the highest level of performance achievable in a specific context.
superior outcomes for
Replaces "optimal" with "superior", suggesting results that are above average or of higher quality.
finest achievements for
Focuses on accomplishments and their quality, rather than general results.
most favorable results for
Highlights the positive and advantageous nature of the results.
greatest success for
Focuses on success as the key outcome, implying a positive and impactful result.
prime accomplishments for
Uses "prime" to highlight the high quality of the accomplishments achieved.
FAQs
How can I use "optimal results for" in a sentence?
You can use "optimal results for" when discussing the best possible outcomes or performance in relation to a specific task, project, or goal. For example: "To achieve optimal results for the marketing campaign, we need to analyze our target audience thoroughly."
What are some alternatives to "optimal results for"?
You can use alternatives like "best outcomes for", "ideal results for", or "maximum benefits for" depending on the context.
Is it always necessary to aim for "optimal results for"?
No, it's not always necessary. Sometimes, achieving satisfactory or acceptable results is sufficient depending on the specific requirements and constraints of the situation. Aiming for optimal results may require additional resources and effort that are not always justified.
How do I measure "optimal results for" a project?
Measuring "optimal results for" a project requires clearly defined metrics and key performance indicators (KPIs) that align with the project's goals. These metrics should be specific, measurable, achievable, relevant, and time-bound (SMART) to effectively track progress and evaluate outcomes.
Editing plus AI, all in one place.
Stop switching between tools. Your AI writing partner for everything—polishing proposals, crafting emails, finding the right tone.
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Source & Trust
82%
Authority and reliability
4.5/5
Expert rating
Real-world application tested