positive fixed

USAGE SUMMARY

"positive fixed" is not a correct or usable phrase in written English.
It is not a standard English idiom or phrase, so it should not be used.

⚠ May contain grammatical issues

Science

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

In addition, most high-κ oxides have positive fixed charges, except that Al2O3 has negative fixed charges [9].

Nanoscale Research Letters

Hence has a unique positive fixed point.

Advances in Difference Equations

for all x, y, z, w ∈ A, where a, b are positive fixed integers.

Advances in Difference Equations

To conclude, F has a unique positive fixed point (y^) and (F' y^)<1).

Advances in Difference Equations

Thus, ((x^,y^)) is the unique positive fixed point of system (3).

Advances in Difference Equations

If Φ : K → K is strongly superlinear and increasing, then Φ has at most one positive fixed point.

Advances in Difference Equations

Similarly, the system (1.3) has a unique positive fixed point if one of the 22 conditions holds.

Advances in Difference Equations

Thus, by Theorem 2.7, we know that the operator has at least three positive fixed points satisfying (3.53).

Advances in Difference Equations

We showed that the unique positive fixed point of (3) can undergo a flip bifurcation and a NS bifurcation under certain parametric conditions.

Advances in Difference Equations

In Section 2, we study the existence and uniqueness of positive fixed points for a certain class of decreasing and convex operators (A: Pto P).

Fixed Point Theory and Applications

The second one, which is widely used for the search of positive fixed points, is due to Krasnosel'skiĭ (see [[5], Theorem 13.D]).

Fixed Point Theory and Applications

Expert writing Tips

Best practice

When describing properties, ensure adjectives are in the correct order to enhance clarity. If meaning to say that something is positively defined, then use the phrase "positively defined".

Common error

Avoid placing "positive" before "fixed" when intending to describe something as positively defined or stable. Use alternatives like "positively fixed" or "fixed positive" depending on the intended meaning.

Linguistic Context

The phrase "positive fixed" functions as a compound adjective, attempting to describe a noun with two qualities. However, Ludwig AI indicates that this particular phrasing is not grammatically correct in standard English, even though it appears in various sources.

Expression frequency: Very common

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Academia

0%

Ludwig's WRAP-UP

In summary, while the phrase "positive fixed" appears frequently, particularly in scientific texts, Ludwig AI identifies it as grammatically incorrect in standard English. It attempts to combine the qualities of being positive and unchanging. To ensure clarity and grammatical correctness, consider alternatives like "fixed positive", "positively fixed", or other context-specific rephrasing. The frequency of its occurrence doesn't validate its usage, as precision and adherence to grammatical standards are often more important, especially in professional writing. Due to the high percentage of use in Science, consider rephrasing when writing in other fields.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

fixed positive

Reverses the order of adjectives.

positively fixed

Changes "fixed" into an adverb to modify the adjective.

immobile positive

Replaces "fixed" with "immobile" maintaining a similar meaning.

constant positive

Substitutes "fixed" with "constant", which can imply unchanging.

stable positive

Replaces "fixed" with "stable", suggesting resistance to change.

positive and constant

Elaborates by using both "positive" and "constant" to emphasize unchanging quality.

positive without change

Uses a phrase to indicate the absence of alteration.

positive and unvarying

Emphasizes the consistent nature using "unvarying".

consistently positive

Uses the adverb "consistently" to highlight the persistent positive attribute.

positive in a set way

Rephrases to indicate a defined positive state.

FAQs

How can I use the concept of something being positively established?

You could use phrases such as "definitely established", "unquestionably established", or "firmly established" depending on the nuance you want to convey.

What's a better way to describe a charge that is positive and not changing?

Consider using "constant positive charge" or "stable positive charge" to describe a charge that maintains a positive value without fluctuation.

What are some alternatives to "positive fixed" in mathematical contexts?

In mathematics, depending on the concept, you might use "positive fixed point", "positive constant", or rephrase to ensure clarity and mathematical correctness.

Is "positive fixed" always incorrect?

According to Ludwig AI, the phrase is typically not grammatically correct in standard English, but it appears in some contexts, especially scientific ones. It's better to use more precise and grammatically accepted alternatives like "fixed positive" or other similar phrases.