intractable expression

USAGE SUMMARY

The phrase "intractable expression" is correct and usable in written English.
It can be used to describe a mathematical or logical expression that is difficult or impossible to solve or simplify. Example: "The researchers encountered an intractable expression that defied all their attempts at simplification."

✓ Grammatically correct

Science

News & Media

Encyclopedias

Human-verified examples from authoritative sources

Exact Expressions

1 human-written examples

Due to the mathematically intractable expression of the Rician distribution, we use the Gaussian approximation to derive the error probability of coded FHSS over Rician fading channel.

EURASIP Journal on Wireless Communications and Networking

Human-verified similar examples from authoritative sources

Similar Expressions

59 human-written examples

From Gladstone on, liberal Britain has had a penchant for taking quixotic stands against intractable expressions of evil in the human condition, even at the risk of ridicule.

The Guardian

Although E. coli is commonly used to express P450s and has higher yields, some eukaryote P450s are intractable for expression.

Biochemical Journal

It is worth noting that, although the capacity-achievable power allocation for MIMO SVD is water-filling [6], exact analysis of such allocation strategy is very difficult (in water-filling, each allocated power is a function of all eigenvalues, leading to an intractable SER expression of each subchannel [18], Ft. 1).

EURASIP Journal on Advances in Signal Processing

The simulated distribution of T s will be used in the following analysis since its closed form expression is intractable.

EURASIP Journal on Wireless Communications and Networking

Note that due to the interdependence of the queue sizes and the scheduling decision in MW, it is highly intractable to derive the expressions for average queue sizes and delays under the MW policy.

EURASIP Journal on Wireless Communications and Networking

Our initial efforts directed towards experimental phase determination proved intractable due to extremely low expression levels of the selenomethione-substituted LapG CdgS9Output complex.

eLife

Furthermore, clinical reports have shown that, in patients with intractable epilepsy with excessive MDR1 expression, the AED blood levels are always low despite continuous AED administration [ 29].

BioMed Research International

A follow-up study tested samples from the temporal neocortex taken from intractable epilepsy patients showing significant expression of HSPBAP gene over the controls [ 297], however the enzymatic role of HSPBAP1 remains unclear.

Epigenomics

But the alternatives look intractable.

The Economist

In case deriving a closed-form expression is impossible or intractable, generating look-up tables which contain the optimum order values for various scenarios is essential.

EURASIP Journal on Wireless Communications and Networking

Expert writing Tips

Best practice

When using the phrase "intractable expression", ensure the context clearly indicates what makes the expression difficult to solve or simplify. Be specific about the nature of the intractability, such as computational complexity or analytical insolubility.

Common error

Avoid using "intractable expression" in contexts where simpler terms like "complex" or "difficult" would suffice. Reserve it for situations where the expression truly defies conventional methods of resolution.

Linguistic Context

The phrase "intractable expression" primarily functions as a noun phrase where "intractable" modifies "expression", specifying a quality of the expression. Ludwig AI indicates that it describes something difficult or impossible to solve, as demonstrated in the example from EURASIP Journal on Wireless Communications and Networking.

Expression frequency: Rare

Frequent in

Science

80%

News & Media

10%

Encyclopedias

10%

Less common in

Formal & Business

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

The phrase "intractable expression" is a noun phrase used to describe something very difficult or impossible to solve, particularly in scientific and mathematical contexts. As Ludwig AI confirms, it accurately conveys the extreme difficulty in simplifying or resolving a given expression. It's most commonly found in formal and scientific registers, though occasionally appears in news media when reporting on technical subjects. While grammatically correct, its use should be reserved for cases where the complexity truly warrants such a strong descriptor. Alternative phrases such as "unsolvable equation" or "unmanageable formulation" can be used depending on the specific nuance desired.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

mathematically intractable equation

Specifically refers to a mathematical equation that is impossible to solve.

unsolvable equation

Focuses specifically on mathematical equations that cannot be solved.

unmanageable formulation

Emphasizes the difficulty in handling or dealing with a particular formulation or idea.

impossible to simplify expression

Highlights the inability to make the expression less complex.

unyielding expression

Suggests the expression resists attempts to change or manipulate it.

analytically insoluble expression

Specifies that the expression cannot be solved using analytical methods.

impenetrable formulation

Conveys that the formulation is difficult to understand or access conceptually.

computationally infeasible expression

Indicates that the expression is too complex for current computational resources.

incalculable expression

Emphasizes the inability to determine the value or result of the expression.

expression defying resolution

Highlights that the expression resists any attempts at finding a solution.

FAQs

How to use "intractable expression" in a sentence?

You can use "intractable expression" to describe a mathematical or logical statement that is very difficult or impossible to solve. For example: "The researchers encountered an "intractable expression" that defied all their attempts at simplification."

What can I say instead of "intractable expression"?

You can use alternatives like "unsolvable equation", "unmanageable formulation", or "analytically insoluble expression" depending on the specific context.

When is it appropriate to use the term "intractable expression"?

Use "intractable expression" when referring to a problem, especially in mathematics or computer science, that cannot be solved in polynomial time, suggesting it is computationally too difficult or impossible to solve with current methods.

What makes an expression "intractable"?

An expression becomes "intractable" when the complexity of the calculations required to solve or simplify it exceeds the available computational resources or theoretical methods, rendering it practically impossible to find a solution.