is replaced as follows

USAGE SUMMARY

The phrase "is replaced as follows" is correct and usable in written English.
It can be used when you want to indicate that something will be substituted or changed in a specific manner, often followed by a description of the replacement. Example: "The term 'old policy' is replaced as follows: 'new policy' will be used in all future documents."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

2 human-written examples

Let all the hypotheses of Theorem 3.1 hold, wherein the definition of ε n is replaced as follows: ε n = d ( y n + 1, p n ), p n ∈ T y n, n = 0, 1, 2.... Then.

Fixed Point Theory and Applications

As such, if the pitch adjustment decision for the decision variable (h^{j}_{text {new}}) is Yes, then (h^{j}_{text {new}}) is replaced as follows: h^{j}_{text{new}} leftarrow h^{j}_{mathrm{new }} + delta_{j}tau, (13).

EURASIP Journal on Image and Video Processing

Human-verified similar examples from authoritative sources

Similar Expressions

58 human-written examples

In addition, a sentence in the paper needs to be replaced as follows.

Earth, Planets and Space

Because the autocorrelation of the ideal PRS signal shows the impulse characteristic in the time domain, the expectation terms in Equation 12 can be replaced as follows in Equation 13: E P first _ arrived t × P first _ arrived t + δ = δ t (13).

EURASIP Journal on Advances in Signal Processing

The flooring has been replaced as needed.

Wikipedia

He has since been replaced as charge.

The New York Times

These households were replaced as described above.

BMC Nephrology

The above M-step is replaced by two CM-steps, as follows.

BMC Genomics

Step 4: A new gain coefficient factor C i is replaced by C R by computing as follows, C i = Φ K Ψ R T X i Φ K Ψ R T Φ K Ψ R (18).

EURASIP Journal on Advances in Signal Processing

The ( NC_{text{e}} B_{text{oi}} ) is replaced with K. Formula (2) is transformed as follows: {text{IPR = }} K times frac{{{{{text{d}}left( {Delta p} right)} mathord{left/ {vphantom {{{text{d}}left( {Delta p} right)} {{text{d}}t}}} right.

Journal of Petroleum Exploration and Production Technology

Following a plan is replaced by adapting to changes.

Journal of the Brazilian Computer Society

Expert writing Tips

Best practice

When using "is replaced as follows", ensure the subsequent explanation is clear and directly relates to the term or element being replaced. Provide specific details about the replacement to avoid ambiguity.

Common error

Avoid using "is replaced as follows" without providing a clear and detailed description of the replacement. A vague or incomplete explanation can confuse the reader and undermine the purpose of the statement.

Linguistic Context

The phrase "is replaced as follows" functions as an introductory signal, primarily used in technical, scientific, and instructional contexts. It alerts the reader that a substitution or alteration is about to be explained in detail. Ludwig AI confirms its function by providing examples of its usage in real-world contexts.

Expression frequency: Rare

Frequent in

Science

67%

News & Media

17%

Wiki

16%

Less common in

Formal & Business

0%

Encyclopedias

0%

Reference

0%

Ludwig's WRAP-UP

In summary, the phrase "is replaced as follows" is a grammatically sound and technically oriented expression, which functions as an introductory signal that indicates a substitution or change with a detailed explanation to follow. While Ludwig AI confirms its correctness, its usage is relatively rare and predominantly found in scientific, technical, and formal writing contexts. To ensure effective communication, be precise and thorough when detailing the replacement process, and prefer other expressions when the context is not about Science or Engineering.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

is substituted in the following manner

Changes the verb from "replaced" to "substituted" while maintaining the overall structure and meaning.

is altered as described below

Replaces "replaced" with "altered" and "follows" with "described below", indicating a subsequent explanation.

is changed according to the following

Substitutes "replaced" with "changed" and restructures the sentence to emphasize the rule or method of alteration.

is modified as shown below

Uses "modified" instead of "replaced", implying a change rather than a complete substitution, and uses "shown below" to indicate a visual aid or further explanation.

is updated in the way described

Employs "updated" to suggest a more modern change, and uses "in the way described" to point to the specifics of the modification.

is superseded by the process below

Highlights that something is being overtaken by something else that follows, implies that the replacement is more efficient or correct.

undergoes the following transformation

Uses "transformation" to indicate a change in form or nature, suitable in scientific or technical contexts.

is rendered according to the method below

Replaces the original entity by a new or updated representation based on the actions mentioned in the followings.

is exchanged in compliance with the proceeding description

Exchange highlights that there is a biunivocal action of taking an entity and change it.

adopts the following modification

Indicates that a modification will be applied to something and that a process is executed as a consequence.

FAQs

How can I use "is replaced as follows" in a sentence?

The phrase "is replaced as follows" is used to introduce a substitution or change that will be described immediately afterward. For example, "The old method is replaced as follows: a new algorithm will be implemented."

What's a more formal alternative to "is replaced as follows"?

In formal writing, consider using phrases like "is substituted in the following manner" or "is amended according to the subsequent procedure". These alternatives maintain a professional tone while conveying the same meaning.

Is it correct to say "is replaced by" instead of "is replaced as follows"?

While "is replaced by" indicates a substitution, it doesn't necessarily imply a detailed explanation will follow. Use "is replaced as follows" when you intend to provide a specific description of the replacement process, and use "is replaced by" when you don't want to mention further actions to be done.

What is the difference between "is replaced as follows" and "is changed as follows"?

Both phrases indicate a modification, but "is replaced as follows" suggests a complete substitution, whereas "is changed as follows" implies an alteration. The choice depends on whether the original element is being entirely swapped out or simply modified.