upper bound for

USAGE SUMMARY

"upper bound for" is a correct and usable phrase in written English.
It is used when referring to the highest numerical or qualitative value a given measurement can reach. For example, "The upper bound for temperatures in this region is 40 degrees Celsius."

✓ Grammatically correct

Science

Academia

Formal & Business

Human-verified examples from authoritative sources

Exact Expressions

59 human-written examples

# Set up upper bound for the firing response rate calculations.

Yale University

Therefore, we use the current FAA regulation as a conservative upper bound for safety.

Nature

Moreover we prove a similar capacitary upper bound for the second eigenvalue.

Journal of Functional Analysis

Polymers from tetraaminodiphenylsulfone and either terephthalic or isophthalic acid crossed Robeson's upper bound for H2/CO2.

Polymer

A new upper bound for the Damköhler number associated with diffusion controlled reaction rates is suggested.

Chemical Engineering Science

We also find a new upper bound for the energy of (p, q -bipartite graphs.

Linear Algebra and its Applications

This extends a well-known and non-trivial pspace upper bound for graded modal logic.

Journal of Applied Logic

First, the best feasible solution in TS can become a valid upper bound for QG.

Computers & Chemical Engineering

Here, the missing upper bound for the complexity of JD4 is established through an alternating algorithm.

Journal of Computer and System Sciences

The stabilizing feedback depends on the known upper bound for the delays as well.

Automatica

A robust design should be based on some reliable upper bound for the variance of σ2W.

Journal of Statistical Planning and Inference

Expert writing Tips

Best practice

When using "upper bound for", ensure that the context clearly defines what is being limited and why the upper bound is significant. For example, specify "the upper bound for project costs" to clarify the limitation.

Common error

Avoid using "upper bound for" vaguely. Always specify the subject to which the bound applies. For example, don't just say "the upper bound", but rather "the upper bound for the reaction rate".

Linguistic Context

The phrase "upper bound for" functions as a prepositional phrase that modifies a noun or noun phrase, indicating a maximum or limit. As Ludwig AI confirms, this phrase is used to specify the highest possible value or extent of something.

Expression frequency: Common

Frequent in

Science

65%

Academia

20%

Formal & Business

15%

Less common in

News & Media

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, "upper bound for" is a prepositional phrase used to define the maximum limit of something, predominantly in formal, scientific, and academic contexts. As Ludwig AI validates, it serves to constrain and specify a value. While grammatically correct and commonly used, precision in specifying what the bound applies to is essential. Related phrases include "maximum limit for" and "ceiling for". This phrase is frequently seen in scientific publications and academic research, reflecting its importance in precise communication.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

maximum limit for

Replaces "upper bound" with "maximum limit", emphasizing the restrictive aspect.

ceiling for

Uses "ceiling" as a metaphor for an upper limit.

highest possible value for

More descriptive, specifying the "highest possible value" instead of using "upper bound".

maximum allowable for

Focuses on permissibility, suggesting a rule or regulation.

top threshold for

Replaces "upper bound" with "top threshold", indicating a critical limit.

peak level for

Implies a maximum point in a process or measurement.

upper constraint on

Replaces "bound" with "constraint", highlighting the restrictive nature.

maximum permissible for

Similar to "maximum allowable", emphasizing what is permitted.

upper extent of

Uses "extent" to suggest the range's upper limit.

greatest value for

Directly states the "greatest value" instead of implying a limit.

FAQs

How can I use "upper bound for" in a sentence?

You can use "upper bound for" to specify the maximum limit of something, such as "The upper bound for the project's budget is $1 million".

What is a phrase similar to "upper bound for"?

A similar phrase to "upper bound for" is "maximum limit for", which also defines the greatest possible value.

When is it appropriate to use "upper bound for" in writing?

It's appropriate to use "upper bound for" in technical, scientific, or formal contexts where precision and a clear definition of limits are necessary.

What's the difference between "upper bound for" and "upper limit of"?

While both define a maximum, "upper bound for" often refers to a theoretical or calculated limit, while "upper limit of" can refer to a practical or imposed restriction.