grow without bound

USAGE SUMMARY

The phrase "grow without bound" is correct and usable in written English.
It is typically used in mathematical or technical contexts to describe a quantity that increases indefinitely. Example: "As the input values increase, the function will grow without bound, indicating that there is no upper limit to its output."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

20 human-written examples

Ultimately, he would turn his relationship with his father — by nature, one simple thing — into something infinitely complex, and his hat collection would, correspondingly, grow without bound, and he would wind up destroying himself.

The New Yorker

A stabilizing scheduling policy in this setting is one which ensures that the queue lengths do not grow without bound.

EURASIP Journal on Wireless Communications and Networking

For our purposes, it is important that in regions of extreme curvature, tidal forces can grow without bound.

SEP

The variable ρ should be less than one for the queue to be stable otherwise the queue will grow without bound.

EURASIP Journal on Wireless Communications and Networking

By making the number of BS antennas and the SNR grow without bound, and performing by some basic algebraic manipulations, we prove the result.

EURASIP Journal on Wireless Communications and Networking

Delays have a debilitating effect on feedback control systems; causes and effects can bounce back and forth between distant sites, resulting in oscillatory behavior that can grow without bound.

Brain Research Bulletin

Human-verified similar examples from authoritative sources

Similar Expressions

40 human-written examples

My to-do list grows without bound, which is a fancy way of saying I'm overwhelmed.

TechCrunch

Clearly, this might lead to a situation were buffer occupancy grows without bound, that is, to buffer unstability.

EURASIP Journal on Wireless Communications and Networking

We assume n 1 = O ( 1 ) as n → ∞, that is, we exclude the case where n 1 grows without bound as n grows.

The Journal of Mathematical Neuroscience

This is because when the number of BS antennas grows without bound, the channel steering vectors between different users become asymptotically orthogonal to each other.

EURASIP Journal on Wireless Communications and Networking

We show the following lemma that presents the optimal beamforming vector maximizing R sum when the number of BS antennas grows without bound.

EURASIP Journal on Wireless Communications and Networking

Expert writing Tips

Best practice

Use "grow without bound" when you want to emphasize that something increases continuously without any upper limit or constraint. It's especially effective in mathematical, scientific, or economic contexts.

Common error

Avoid using "grow without bound" in situations where a quantity may increase rapidly but is known to have a finite upper limit. Instead, opt for descriptions like "grow rapidly" or "increase significantly".

Linguistic Context

The phrase "grow without bound" functions as a verb phrase indicating a process of continuous and unlimited increase. Ludwig's examples show its common use in describing quantities or phenomena in scientific and mathematical contexts.

Expression frequency: Common

Frequent in

Science

73%

News & Media

23%

Formal & Business

4%

Less common in

Wiki

4%

Encyclopedias

4%

Social Media

0%

Ludwig's WRAP-UP

The phrase "grow without bound" is a verb phrase used to describe a quantity or phenomenon that increases indefinitely, lacking any upper limit. Ludwig AI confirms its grammatical correctness and suitability for technical and formal contexts, particularly in science and mathematics. While common in academic and scientific writing, it's less frequent in general conversation. Consider alternatives like "increase without limit" or "expand indefinitely" based on the specific nuance required. Be mindful of using it when a true upper bound exists, even if it's currently unreached.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

increase without limit

Changes the verb and noun while retaining the core meaning of unbounded growth.

expand indefinitely

Replaces "grow" with "expand" and "without bound" with "indefinitely" for a similar effect.

increase exponentially

Specifies the type of growth as exponential, implying a rapid and accelerating increase.

escalate uncontrollably

Emphasizes the lack of control over the growth or increase.

rise infinitely

Substitutes "grow" with "rise" and "without bound" with "infinitely" for a slightly more poetic tone.

extend without restriction

Focuses on the absence of restrictions on the growth or extension.

progress without end

Implies continuous forward movement without a defined endpoint.

multiply without cease

Highlights continuous and uninterrupted multiplication or growth.

bloom without restraint

Suggests a flourishing and unrestrained development, often in a more metaphorical sense.

proliferate without limit

Emphasizes rapid and widespread increase, often in the context of cells or populations.

FAQs

What does it mean for something to "grow without bound"?

When something is said to "grow without bound", it means it increases indefinitely, without any limit or restriction.

In what contexts is it appropriate to use the phrase "grow without bound"?

The phrase "grow without bound" is typically used in technical, mathematical, or scientific contexts to describe quantities or phenomena that increase indefinitely. It is less common in everyday language.

What are some alternatives to saying "grow without bound"?

Alternatives to "grow without bound" include "increase without limit", "expand indefinitely", or "increase exponentially", depending on the specific context and nuance you wish to convey.

Is "grow without bound" the same as "increase infinitely"?

While similar, "grow without bound" emphasizes the continuous and unrestricted nature of the increase, while "increase infinitely" ("rise infinitely") simply states that the quantity becomes infinitely large. The former is more descriptive of the process, the latter of the end state.