for ease of notation

USAGE SUMMARY

The part of the sentence "for ease of notation" is correct and usable in written English.
You can use it when you want to simplify an equation or any other kind of notation for the sake of making it easier to read or understand. For example, "For ease of notation, we can rewrite this equation as y=2x+1."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

54 human-written examples

For ease of notation, one sets (x_{r} = x).

Journal of Inequalities and Applications

b Note that the index k is dropped for ease of notation.

EURASIP Journal on Wireless Communications and Networking

Let us drop the time index throughout the development for ease of notation.

EURASIP Journal on Wireless Communications and Networking

For ease of notation, let us identify k + 1 with 1.

Advances in Difference Equations

For ease of notation, we denote ϑ ≜ ξ + ∫ t T f ( s, α s ) d s.

Advances in Difference Equations

Define (tilde {h}(t)=q(t)h(t)) for ease of notation.

Boundary Value Problems

Human-verified similar examples from authoritative sources

Similar Expressions

6 human-written examples

Let Δ Wi,k denote the post-processing noise experienced at the i th antenna at time k (we omit the subscript d for ease of notations).

EURASIP Journal on Wireless Communications and Networking

In this section, for ease of notations we assume uniform polynomial order in each dimension, i.e. p α = p for all α ∈ D, although the results are easily generalizable for non-uniform order case.

Computer Methods in Applied Mechanics and Engineering

For the ease of notation, we define the covariance for the signal of interest, interference and additive white Gaussian noise as E[xx* ] = R x, E = R γ, and E[nn* ] = R n, respectively.

EURASIP Journal on Wireless Communications and Networking

The encoding (quantization) process is modeled through the auxiliary random variable with standing for memoryless Gaussian noise with variance and statistically independent of (for the ease of notation, we drop the sample index).

EURASIP Journal on Wireless Communications and Networking

For the ease of notation and without loss of generality, we assume that.

Boundary Value Problems

Expert writing Tips

Best practice

Use "for ease of notation" to clearly indicate when you are simplifying notation to improve readability or manageability of complex expressions. This helps readers understand your intent and follow your reasoning more easily.

Common error

Avoid oversimplifying notation to the point of sacrificing mathematical rigor or introducing ambiguity. Always ensure that any simplification maintains the integrity of the underlying concepts and can be easily reversed or expanded upon if needed.

Linguistic Context

The phrase "for ease of notation" functions as an adverbial phrase modifying a verb or clause. It serves to introduce a simplification or alteration in notation to improve clarity or manageability, as confirmed by Ludwig AI.

Expression frequency: Common

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Ludwig's WRAP-UP

In summary, "for ease of notation" is a common and grammatically correct phrase used to introduce a simplification in notation, primarily within scientific and technical writing. As Ludwig AI confirms, it serves to enhance clarity and manageability. While its usage is concentrated in scientific contexts, understanding its function and purpose can improve your ability to write clear and concise technical documents. Remember to balance simplification with rigor to avoid ambiguity.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

to simplify notation

This alternative is a shorter and more direct way of expressing the same purpose.

for notational convenience

This alternative uses a noun phrase to convey the same idea of simplifying notation.

to streamline notation

This alternative focuses on making the notation more efficient and concise.

for the sake of simpler notation

This alternative explicitly mentions the benefit of simplification.

to facilitate notation

This alternative emphasizes making the notation easier to work with.

for brevity

This alternative focuses on conciseness as the primary goal.

for the sake of clarity

This alternative highlights improved understanding as the reason for the change.

to make the notation easier

This alternative is a more verbose, but direct restatement of the purpose.

in the interest of simplicity

This alternative phrase emphasizes the value of simplicity.

for succinctness

This alternative directly addresses the goal of being concise in the notation.

FAQs

How can I use "for ease of notation" in a sentence?

You can use "for ease of notation" to introduce a simplified representation or definition, as in, "For ease of notation, let's denote the total energy as E."

What are some alternatives to saying "for ease of notation"?

You can use alternatives like "to simplify notation", "for notational convenience", or "to streamline notation", depending on the specific context.

Is it appropriate to use "for ease of notation" in formal writing?

Yes, "for ease of notation" is appropriate in formal writing, especially in scientific and technical contexts where simplifying complex expressions is common and beneficial for clarity.

Why is simplifying notation important in technical writing?

Simplifying notation, as indicated by "for ease of notation", is important because it enhances readability, reduces the likelihood of errors, and allows readers to focus on the core concepts rather than getting bogged down in complex symbols and expressions.