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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
for each given
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "for each given" is correct and usable in written English.
It can be used when referring to specific instances or items in a set, often in mathematical or analytical contexts. Example: "For each given variable in the equation, we must determine its impact on the overall outcome."
✓ Grammatically correct
Science
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
58 human-written examples
Then for each given element, either (1.3).
For each given, let us define the mapping (3.10).
Then for each given element x ∈ X, either.
The optimum helical pitches are obtained for each given transport current.
Science
Then for each given, either, for all, or else exists a natural number such that.
Individuals of the population are match candidates for each given trace.
Note that there always exists a unique for each given which, in addition, fulfils since ;.
At a given level, and for each given block, we compute the following features.
An algorithm for determining the best parameters for each given shot class is presented.
Five hundred Monte-Carlo simulations were performed for each given standard deviation of the NLOS noise.
There are three route choices for each given transport mode in this example.
Science
Expert writing Tips
Best practice
When using "for each given", ensure that the context clearly defines what is 'given'. This provides clarity and avoids ambiguity in technical or analytical writing.
Common error
Avoid using "for each given" without clearly specifying what is being 'given'. Ambiguity can arise if the context does not explicitly define the conditions or parameters for each item being considered.
Source & Trust
83%
Authority and reliability
4.5/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "for each given" functions as a prepositional phrase that introduces a condition or specification for individual items within a set. Ludwig confirms its correct usage. It commonly sets the stage for a rule, action, or characteristic that applies separately to every item mentioned.
Frequent in
Science
95%
Formal & Business
3%
News & Media
1%
Less common in
Encyclopedias
0.33%
Wiki
0.33%
Reference
0.34%
Ludwig's WRAP-UP
In summary, "for each given" is a grammatically sound and frequently used phrase, as confirmed by Ludwig, primarily found in scientific and formal contexts. It serves to specify conditions or parameters applicable to individual items within a set, ensuring clarity and precision. While widely accepted, ensure that the 'given' conditions are explicitly defined to avoid ambiguity. Consider alternatives like "for every specified" or "for each particular" for nuanced expression. This phrase demonstrates robust usage across academic and technical domains, highlighting its value in structured writing.
More alternative expressions(6)
Phrases that express similar concepts, ordered by semantic similarity:
for every specified
Replaces "each" with "every" and "given" with "specified", emphasizing that each item meets particular requirements.
for each particular
Substitutes "given" with "particular", highlighting the distinctness of each item.
for each individual
Emphasizes the separate and distinct nature of each item being considered.
for any specified
Uses "any" instead of "each", suggesting a broader scope, but still with specific conditions.
for every individual
Combines "every" and "individual" to reinforce the separate treatment of each item.
for each instance
Replaces "given" with "instance", focusing on specific occurrences or cases.
in each specified
Shifts the phrasing to start with "in", slightly altering the sentence structure but maintaining the core meaning.
for each case
Replaces "given" with "case", focusing on specific situations or scenarios.
for all specified
Broadens the scope to include all items that meet specific conditions.
under each condition
Focuses on the conditions or circumstances that apply to each item.
FAQs
How can I use "for each given" in a sentence?
Use "for each given" to specify a condition or parameter that applies individually to items within a set. For example, "For each given input, the algorithm produces a corresponding output."
What's a good alternative to "for each given"?
Alternatives include phrases like "for every specified", "for each particular", or "for every individual", depending on the specific nuance you want to convey.
Is "for each given" suitable for formal writing?
Yes, "for each given" is suitable for formal writing, especially in scientific, technical, and academic contexts where precision and clarity are essential.
How does "for each given" differ from "for all"?
"For each given" emphasizes individual consideration under specific conditions, while "for all" refers to every member of a set without necessarily implying specific conditions for each item. Therefore, "for each given case" would mean that each particular case should verify a condition, while "for all cases" means that all the case must verify a condition.
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Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Source & Trust
83%
Authority and reliability
4.5/5
Expert rating
Real-world application tested