to replace x with y

USAGE SUMMARY

The phrase "to replace x with y" is correct and can be used in written English.
You can use the phrase when you want to express that something is being exchanged, substituted, or replaced with something else. For example, "We decided to replace the faulty part with a new one."

✓ Grammatically correct

Science

Wiki

Academia

Human-verified similar examples from authoritative sources

Similar Expressions

60 human-written examples

If f y) < f(x) then replace the agent in the population with the improved candidate solution, that is, replace x with y in the population.

Journal of Industrial Engineering International

For all populations x in the current solution and for all y outside the solution, replace x with y, if the change reduces the error.

BMC Genomics

So, when you want to replace x and y by some variables, u and v, given by some formulas in terms of x and y.

Massachusetts Institute of Technology

Replace x with y and vice versa.

WikiHow

In the second equation, replace x with "2 - ½y": 5(2 - ½y) + 3y = 9.

WikiHow

Using relation (37) and by replacing x with x / A 2 relation (30) becomes: y = ∫ 0 x x 2 2 A 2 1 − x 4 4 A 4 dx = ∫ 0 x f x dx (38 where the equation: f x = ∑ i = 0 n b i (39 with coefficients b i of the form: b i = b i − 1 2 i − 1 2 i x 4 4 A 4, b 0 = x 2 2 A 2 (40).

European Transport Research Review

Replacing x with ξ and y with (E[xi ]), we obtain f xi -fbigl(E[xi]bigr)ge kcdotbigl(xi-E[xi]bigr). Taking the expected values on both sides, we have Ebigl[f xi -fbiglfbigl(E[xi]bigr ge kcdotbigl xi-E[xi]bigrigr)=0.

Journal of Inequalities and Applications

By applying the Fourier transformation F ′ in problem (28 - 29) with respect to x ′ ( x ′ → ξ ′ ), supposing that f = 0, and by replacing x n with y, we get the problem on the half-line A ( ξ ′, − i d d y, q ) v ( y ) = 0, y > 0, (32).

Journal of Inequalities and Applications

Replacing X with P X), the assumption becomes T∐Y 0|P X).

IZA Journal of Labor Policy

If we replace x and y in (13) with (2^{n} x) and (2^{n} y), respectively, and divide by (2^{2n}) the resulting inequality, then we have biglVert f_{i} bigl(mu x, y) bigr)- nu bigl(f_{i}(x), f_{i} y) bigr) bigrVert _{mathcal{L}'} leq2^{-2n} psibigl(2^{n}x, 2^{n}ybigr)leq q^{n} psi x, y) (15) for all (x, y inmathcal{L}_{bar{0}} cupmathcal{L}_{bar{1}}), (i inmathbb{Z}_{2}) and (n inmathbb{N}).

Fixed Point Theory and Applications

Then, by replacing x, y with in Equation 2.5, we obtain the following identities: for any solution g : V1 → V2 of the Equation (2.5), and (2.14).

Journal of Inequalities and Applications

Expert writing Tips

Best practice

When writing instructions or procedures, use "to replace x with y" for clarity. For example, "To update the software, replace the old file with the new version."

Common error

Avoid using incorrect prepositions such as "to replace x by y" or "to replace x for y". The correct form is "to replace x with y".

Linguistic Context

The phrase "to replace x with y" functions as a verb phrase indicating the action of substituting one entity (x) for another (y). It is used to describe a process of exchange or substitution, as confirmed by Ludwig.

Expression frequency: Uncommon

Frequent in

Science

50%

Wiki

25%

Academia

25%

Less common in

News & Media

0%

Formal & Business

0%

Encyclopedias

0%

Ludwig's WRAP-UP

In summary, the phrase "to replace x with y" is a grammatically sound and commonly used expression for indicating substitution. As confirmed by Ludwig, it serves to instruct, inform, or describe a process where one item is exchanged for another. While it appears most frequently in scientific and technical contexts, its neutral register makes it appropriate for a wide range of writing situations. Remember to use the correct preposition, "with", and consider alternatives like "substitute x for y" for a more formal tone.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

substitute x for y

Changes the preposition and verb order while maintaining the core meaning of substitution.

substitute y for x

Reverses the order of substitution, making y the primary focus.

exchange x with y

Uses "exchange" instead of "replace", highlighting the reciprocal nature of the swap.

use y in place of x

Shifts the focus to the item being used as a substitute, rather than the action of replacement.

supplant x with y

Implies a more forceful or complete replacement, where x is entirely displaced.

swap x for y

A more informal way of saying to exchange one thing for another.

change x to y

This alternative implies a transformation of x into y, rather than a direct substitution.

convert x into y

Suggests a more significant transformation process than a simple replacement.

transform x to y

Similar to 'convert', emphasizing a change in form or nature.

make x into y

This alternative focuses on transformation or conversion. This means it does not fit well in contexts where simple substitution is preferred

FAQs

How do I use "to replace x with y" in a sentence?

Use "to replace x with y" when you want to indicate that you are substituting one item or value (x) for another (y). For example, "I need to "replace the old tires with new ones"."

What's a more formal way to say "to replace x with y"?

A more formal alternative could be "to substitute y for x". For example, instead of "replace the damaged component with a new one" you might say, "substitute a new component for the damaged one".

Is it correct to say "replace x by y" instead of "to replace x with y"?

While "replace x by y" might be understood, it's less common and can sound awkward. "To replace x with y" is generally the preferred and more grammatically accepted form.

What's the difference between "to replace x with y" and "to substitute x for y"?

Both phrases indicate a substitution, but they differ in focus. "To replace x with y" focuses on what's being put in place, while "to substitute x for y" emphasizes what's being removed. They are often interchangeable, but the nuance can subtly shift the meaning.