the basis is undefined

USAGE SUMMARY

The phrase "the basis is undefined" is correct and usable in written English.
It can be used in contexts such as mathematics, logic, or programming when referring to a situation where a foundational element lacks a clear definition or value. Example: "In this equation, the basis is undefined, leading to complications in solving for the variable."

✓ Grammatically correct

Science

News & Media

Formal & Business

Human-verified similar examples from authoritative sources

Similar Expressions

60 human-written examples

That's precisely what the sequester is: undefined spending cuts.

Huffington Post

In cats, the maximum variation of the velocity is undefined.

BMC Veterinary Research

On a vertical line, the slope is undefined.

WikiHow

All of these methods fail for multilayer adsorption because the standard state is undefined.

Chemical Engineering Science

However, the molecular mechanism is undefined.

Bioscience Reports

Otherwise, the duplication distance is undefined.

Algorithms for Molecular Biology

The asymptotic McNemar test is undefined when n12= n12=0.

BMC Medical Research Methodology

"The number of missing people is undefined at the moment," she said.

The New York Times

Part of the trouble: in many companies, the role of these teams is undefined.

Harvard Business Review

We want to sweep the decks of anything that is undefined and vague.

Huffington Post

To our knowledge, the underlying biology of SA is undefined.

Breast Cancer Research and Treatment

Expert writing Tips

Best practice

When using "the basis is undefined", ensure the context clearly indicates what lacks a defined foundation. This phrase is most effective when the absence of a clear basis has significant implications for the discussion.

Common error

Avoid using "the basis is undefined" in situations where a simpler, more direct explanation of uncertainty would suffice. This phrase is best suited for technical or analytical contexts where the foundational principles are critical.

Linguistic Context

The phrase "the basis is undefined" primarily functions as a statement indicating that a fundamental principle, reason, or starting point lacks a clear or established definition. Ludwig AI confirms that this phrase is grammatically sound and usable in English.

Expression frequency: Missing

Frequent in

Science

33%

News & Media

33%

Formal & Business

33%

Less common in

Wiki

0%

Reference

0%

Social Media

0%

Ludwig's WRAP-UP

In summary, the phrase "the basis is undefined" serves as a declaration that a core element lacks a defined foundation. Ludwig AI validates its grammatical correctness, even though examples of its real-world use are absent from the provided data. Although examples are missing, it is inferred that this phrase appears most commonly in scientific, news, and formal business contexts. When employing this phrase, ensure the absence of a defined basis is clearly relevant and impactful to your discussion. Consider that alternatives such as "the foundation is unclear" or "the rationale is uncertain" may sometimes provide clearer or more specific communication.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

the foundation is unclear

Changes the wording to focus on the lack of clarity in the foundation rather than it being undefined.

the rationale is uncertain

Emphasizes the uncertainty of the reasoning behind something, instead of the basis itself.

the underlying principle is vague

Highlights the vagueness of the guiding principle, shifting the focus from a defined basis to a less clear principle.

the premise lacks definition

Replaces "basis" with "premise" to focus on the initial assumption being poorly defined.

the justification is unsubstantiated

Focuses on the lack of supporting evidence or validation for the basis.

the groundwork is ill-defined

Uses "groundwork" as a substitute for "basis", indicating a lack of clear preparation or initial work.

the reason is unspecified

Shifts the focus to the reason or cause being not clearly stated or defined.

the starting point is ambiguous

Indicates that the initial position or assumption is unclear and open to interpretation.

the source is undetermined

Focuses on the origin or cause being unknown or not clearly established.

the root cause is unidentified

Highlights the lack of clarity in determining the fundamental reason or origin of something.

FAQs

How can I use "the basis is undefined" in a sentence?

You can use "the basis is undefined" to indicate that a fundamental principle or starting point lacks a clear definition. For example, "In this theoretical model, the basis for calculating risk is undefined, leading to unpredictable outcomes."

What phrases are similar to "the basis is undefined"?

Similar phrases include "the foundation is unclear", "the rationale is uncertain", or "the underlying principle is vague", each emphasizing a lack of clarity or definition.

Is it better to say "the basis is undefined" or "the basis is not defined"?

Both "the basis is undefined" and "the basis is not defined" are grammatically correct, but "the basis is undefined" often implies a more fundamental lack of definition, while "the basis is not defined" might suggest it simply hasn't been specified yet.

What does it mean when the basis is undefined in mathematics?

In mathematics, if "the basis is undefined", it means that a key foundational element or axiom required for a calculation or proof is missing or lacks a clear definition, rendering the operation or argument invalid.