with a slight abuse of notation

USAGE SUMMARY

The phrase 'with a slight abuse of notation' is a commonly used phrase in written English and is suitable for use in many academic and technical contexts.
For example, one might write, "Calculus allows us to take derivatives with a slight abuse of notation, assuming the function is continuous."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

21 human-written examples

With a slight abuse of notation, we write.

EURASIP Journal on Information Security

Therefore, with a slight abuse of notation, we will rewrite (11) as (12).

EURASIP Journal on Wireless Communications and Networking

With a slight abuse of notation we denote the new time derivative also by a prime.

The Journal of Mathematical Neuroscience

With a slight abuse of notation, denote p j = p ij,j = 1,…,L.

EURASIP Journal on Wireless Communications and Networking

In order to achieve rate (21), we consider the specific distributions (dropping the dependence on the time index with a slight abuse of notation) and, with independent of.

EURASIP Journal on Wireless Communications and Networking

Let us, with a slight abuse of notation, denote by (R^{text {OFDM}}_{text {sum}}[iota ]) the value of the sum-rate at some iteration ι≥0.

EURASIP Journal on Wireless Communications and Networking

Human-verified similar examples from authoritative sources

Similar Expressions

38 human-written examples

where, with a slight abuse of notations but for notational simplicity, the explicit dependence of C m,k, C b and C e,k on (Q 0,Q c,Q a ) is omitted.

EURASIP Journal on Wireless Communications and Networking

Graphs for different networks will be indexed, in a slight abuse of notation, by g=1,…,M, where M is the total number of networks in the data.

Swiss Journal of Economics and Statistics

and (by a slight abuse of notation) a = p T p, b = p T q, c = q T q − 1, (33).

EURASIP Journal on Advances in Signal Processing

In a slight abuse of notation, we will also use g to index individual networks when data from multiple networks are available.

Swiss Journal of Economics and Statistics

f To simplify the presentation, here we have used a slight abuse of notation, i.e., we have considered that the sets in (12) are ordered.

EURASIP Journal on Wireless Communications and Networking

Expert writing Tips

Best practice

Use "with a slight abuse of notation" when you simplify notation to enhance readability, but acknowledge this might not be strictly correct. Briefly explain the simplification made for clarity.

Common error

Avoid using "with a slight abuse of notation" as a blanket statement. Always ensure there's a valid reason for the notational deviation and briefly explain the simplification. Do not use the phrase if the notation is technically correct.

Linguistic Context

The phrase "with a slight abuse of notation" functions as a qualifier, indicating that the writer is intentionally deviating from strict notational conventions. This deviation is typically done to simplify explanations or calculations. Ludwig AI confirms its appropriateness for technical and academic writing.

Expression frequency: Common

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Wiki

0%

Ludwig's WRAP-UP

The phrase "with a slight abuse of notation" is a common qualifier in technical and academic writing, signaling a deliberate deviation from strict notational rules for the sake of simplicity or clarity. Ludwig AI highlights that it is grammatically correct and frequently used in scientific contexts. While it is not an error, it's essential to justify the simplification and be transparent about the deviation to maintain credibility. Overusing it without valid justification should be avoided. Alternatives such as ""for simplicity"" or "using a relaxed notational convention" can be used depending on context. This phrase enhances readability by flagging intentional deviations in notation and promotes transparency in technical explanations.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

with a slight imprecision in notation

Replaces "abuse" with "imprecision", highlighting the minor deviation from strict notation.

with a minor liberty in notation

Substitutes "abuse" with "liberty", suggesting a permitted flexibility in notational rules.

by a convenient notational simplification

Focuses on the simplification aspect, implying the deviation is for convenience.

using a relaxed notational convention

Highlights the use of a less strict convention, implying a deliberate choice.

under a slightly modified notation

Emphasizes that the notation has been altered, though only slightly.

for notational convenience

Shortens the phrase, emphasizing the reason for the deviation.

with some notational license

Uses "license" to indicate permission to deviate from strict notation.

in a somewhat loose notation

Indicates that the notation being used is not entirely rigorous.

in the interest of simplicity

Focuses on the goal of simplicity as justification for the notational adjustment.

by overloading notation

Specifies that the "abuse" involves using the same symbol for multiple meanings.

FAQs

How can "with a slight abuse of notation" be used in a sentence?

This phrase is used to indicate that a notation is being used in a way that isn't strictly correct, often for the sake of simplicity or clarity. For example, "With a slight abuse of notation, we can write the derivative as dy/dx even when x and y are not independent variables."

What's a less formal alternative to "with a slight abuse of notation"?

While "with a slight abuse of notation" is already fairly neutral, you could rephrase it more simply depending on the context, but it's mostly adequate for Formal contexts. Examples could be "for simplicity" or "to simplify notation".

When is it appropriate to use "with a slight abuse of notation"?

It is appropriate when you are using a notation in a way that deviates slightly from its strict definition, but the deviation makes the explanation easier to understand. It's common in technical and mathematical writing.

Is "with a slight abuse of notation" the same as making a mistake?

No, it's not a mistake. It's a deliberate choice to simplify notation, often with an explanation, making it clear that you are aware of the deviation but find it helpful for the reader's understanding. It is more of a shortcut than an error.