escape problem

USAGE SUMMARY

The phrase "escape problem" is correct and usable in written English.
It can be used in contexts related to puzzles, games, or scenarios where one needs to find a way out of a situation or challenge. Example: "The escape problem in this puzzle requires you to think critically about the available options to find a way out."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

6 human-written examples

The analytical results solve the narrow escape problem for domains with long narrow necks.

The Journal of Mathematical Neuroscience

As the boundary shrinks towards the initial condition of the escape problem, the escape time must tend towards zero, unless the vector field, f, becomes larger in magnitude.

The Journal of Mathematical Neuroscience

The present mathematical analysis of the residence time provides a solution to the narrow escape problem for domains with bottlenecks [21, 35].

The Journal of Mathematical Neuroscience

The paper by Ledvina et al. focuses on the global interaction and the escape problem at Titan by considering the effects of solar UV and a rather detailed ionospheric chemistry scheme implemented in a kinetic global simulation model.

Earth, Planets and Space

We consider the escape problem of exiting from the lower amplitude level.

Biochemistry

On the other hand, the rate of Q relaxing to equilibrium is bounded by (r2 + kon[rGTP]+ koff), which is the sum of all rates involved in the escape problem of exiting from the lower amplitude level (see Supporting Information).

Biochemistry

Human-verified similar examples from authoritative sources

Similar Expressions

53 human-written examples

The blockbusters didn't escape problems, either, though theirs were largely technical.

The New Yorker

The Patriots' offense, like the defense, finds ways to escape problems.

The New York Times

In Egypt, 12% of children are stunted and have obese mothers.The mothers will not escape problems from nutritional deficiency.

The Economist

There are problems looming in Jerry's family, however, that will test his doctrine of avoidance and escape, problems that will make him aware of the consequences of failing to communicate.

The New York Times - Books

As we have discussed extensively elsewhere [27, 33], the diffusion or Gaussian approximation breaks down when solving escape problems.

The Journal of Mathematical Neuroscience (JMN)

Expert writing Tips

Best practice

When using the phrase "escape problem" in scientific writing, clearly define the system or domain from which escape is being considered. This provides context and avoids ambiguity.

Common error

Avoid using "escape problem" as a blanket term for any difficulty. Be specific about what is being escaped and the nature of the problem. Overusing it in vague contexts weakens its impact.

Linguistic Context

The phrase "escape problem" functions as a noun phrase, typically acting as the subject or object of a sentence. Ludwig AI indicates that it's correctly used in scientific and general contexts, referring to challenges related to finding a way out of a difficult situation.

Expression frequency: Uncommon

Frequent in

Science

66%

News & Media

32%

Formal & Business

2%

Less common in

Encyclopedias

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

The phrase "escape problem" is a noun phrase used to describe a challenge that involves finding a way out of a difficult or problematic situation. Ludwig AI confirms its correct usage, particularly in scientific and news contexts. While grammatically sound, it's relatively uncommon, appearing more frequently in scientific discussions. When using "escape problem", be specific about the context and what is being escaped to avoid overgeneralization. Related phrases include "evasion challenge" and "getaway predicament". Consider the register and target audience when incorporating it into your writing for clarity and impact.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

getaway predicament

Emphasizes the difficult situation of needing to get away or escape.

extraction quandary

Focuses on the difficulty of extracting oneself from a problematic situation.

evasion challenge

Focuses on the act of evading a problem rather than the problem itself.

breakout complication

Highlights the complications involved in breaking out of a difficult situation.

exit strategy difficulty

Highlights the difficulty in devising an exit strategy from a problem.

avoidance issue

Highlights the act of avoiding a problem, differing from actively escaping it.

flight obstacle

Emphasizes the obstacle preventing flight or escape from a situation.

withdrawal snag

Highlights a snag or unexpected difficulty in withdrawing from a problematic situation.

resolution dilemma

Shifts the focus to the difficulty in resolving a problem, not necessarily escaping it.

rescue operation hurdle

Focuses on the hurdles involved in a rescue operation, a specific type of escape.

FAQs

How can I use "escape problem" in a scientific context?

In scientific contexts, "escape problem" often refers to calculating the probability or rate at which a particle or system exits a defined state or region. For example, in neuroscience, it might refer to ions escaping a cellular compartment.

What does "escape problem" mean in mathematical terms?

In mathematics, the "escape problem" often involves determining the likelihood of a trajectory or process exiting a specific domain, especially in stochastic processes or dynamical systems. It can be related to concepts like first passage time.

Are there specific fields that commonly use the term "escape problem"?

Yes, the term "escape problem" is frequently used in fields like mathematical neuroscience, physics, and engineering, particularly when modeling diffusion processes or systems with defined boundaries.

What's a good alternative to "escape problem" in simpler terms?

Depending on the context, you might use phrases like "avoidance issue", "resolution dilemma", or "getaway predicament" as simpler alternatives. Consider the nuance you wish to convey when choosing an alternative.