it simplifies to

USAGE SUMMARY

"it simplifies to" is a valid and commonly used phrase in written English.
You can use it when a complex situation or process is broken down into simpler terms. For example: "The equation x+y+z=q is quite complex, but it simplifies to x+y=q when z=0."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

5 human-written examples

By substituting (A.3) back to the above equation, it simplifies to (A8).

EURASIP Journal on Audio, Speech, and Music Processing

In the real valued case, it simplifies to: J CM ( g ) ≜ E y 2 - 1 2 with: y = gs (11).

EURASIP Journal on Advances in Signal Processing

This result is almost the same as a thin lens by itself, and it simplifies to this as the indices of refraction converge.

Journal of the European Optical Society-Rapid Publications

Since (X_{i}^ neq 0) implies that X i ≠0 for i=1,…,d, we can ignore the value of the sign function S at 0 and it simplifies to the following function: S x)= left{begin{array}{ll} -1, &text{if}~ x < 0, 1, &text{if}~ x > 0. end{array}right.

Journal of Statistical Distributions and Applications

Thus, the total cost is and, for most applications where, it simplifies to.

Bioinformatics

Human-verified similar examples from authoritative sources

Similar Expressions

55 human-written examples

Then it got it simplified to Iggy.

Vice

Originating from the structured Admission Experience Interview [ 7], it was simplified to a fifteen-item true/false statement format.

BMC Psychiatry

I find it simplifies things to write out the remaining segments: 31-36 57-62 62-70 81-85 82 cannot be above 81 because if it does 81-85 will block 62-70.

The Guardian

For x>0, it simplifies 0x to 0. Mathematica and Wolfram Alpha simplify b0 into 1, even if no constraints are placed on b.

Wikipedia

In addition, it simplifies access to information and transference of knowledge, and delivers encouragement [ 37, 38].

BMC Women's Health

For instance, it simplifies nuanced answers to its survey.

The Guardian - Business

Expert writing Tips

Best practice

Use "it simplifies to" when demonstrating the result of a simplification process. This is especially useful in technical writing, mathematical proofs, and scientific explanations.

Common error

Avoid using "it simplifies to" when the simplification omits crucial details or creates inaccuracies. Ensure that the simplified version accurately reflects the original information, even if condensed.

Linguistic Context

The phrase "it simplifies to" functions as a transitional phrase, indicating a transformation or reduction of something complex into a simpler form. Ludwig AI confirms it is generally used to present a simplified result after a process. The "it" serves as a placeholder, referring back to a previously mentioned complex concept or expression.

Expression frequency: Uncommon

Frequent in

Science

60%

News & Media

40%

Formal & Business

0%

Less common in

Encyclopedias

0%

Wiki

0%

Social Media

0%

Ludwig's WRAP-UP

In summary, the phrase "it simplifies to" is a grammatically sound and useful transitional phrase used to present a complex concept in a more understandable form. It is most frequently encountered in scientific and technical writing, where clarification and reduction are necessary. Ludwig AI confirms this usage. While the phrase is not exceedingly common, it serves a crucial role in explaining intricate ideas by reducing them to their essential elements. Understanding its function and application can significantly improve clarity in both writing and communication.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

it reduces to

Emphasizes the outcome of a reduction process, where something is made smaller or less complex.

it boils down to

Focuses on identifying the most essential elements or core components of something.

it can be expressed as

Highlights the transformation of something into a different, often simpler, form.

it distills to

Suggests a process of purification or refinement, resulting in a concentrated essence.

it becomes

Implies a transformation into a new state or condition, often simpler or more manageable.

it transforms into

Focuses on a complete change in form or appearance, often with the implication of simplification.

it can be restated as

Emphasizes rephrasing or re-expressing something in a more straightforward manner.

it is equivalent to

Highlights that, despite differences in appearance, two things have the same value or effect.

it is fundamentally

Implies that something at its core or basic level, possesses the qualities being described.

it is essentially

Highlights the core or most important aspect of something.

FAQs

How can I use "it simplifies to" in a sentence?

Use "it simplifies to" when you want to show how a complex equation, idea, or situation can be reduced to a more basic form. For example, "After applying several algebraic manipulations, the equation "it simplifies to" a more manageable expression".

What are some alternatives to "it simplifies to"?

Depending on the specific nuance you want to convey, you could use alternatives like "it reduces to", "it boils down to", or "it can be expressed as".

Is it correct to say "it simplifies as" instead of "it simplifies to"?

While "it simplifies as" might be understood, "it simplifies to" is the more common and grammatically standard phrasing. "Simplifies to" clearly indicates a result or outcome, which is usually the intended meaning.

In what contexts is "it simplifies to" most appropriate?

"It simplifies to" is particularly well-suited for technical, scientific, and mathematical contexts where complex expressions or processes are being reduced for clarity or application. It helps break down complexity into manageable forms.