equivalently

USAGE SUMMARY

The phrase "equivalently" is correct and usable in written English.
It can be used to indicate that two statements or expressions have the same meaning or value. Example: "The equation can be simplified; equivalently, we can express it in a different form."

✓ Grammatically correct

Science

News & Media

Wiki

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

Sine and Cosine This relationship is expressed by the two most fundamental equations of trigonometry: x = r × cos θ y = r × sin θ Or, equivalently: cos θ = x/r sin θ = y/r Sin (sine) is the ratio of the vertical side (the side opposite the corner we're looking at) to the hypotenuse.

WikiHow

Mr Piketty argues there is no reason to think that capitalism will "naturally" reverse rising inequality.The centrepiece of Mr Piketty's analysis is the ratio of an economy's capital (or equivalently, its wealth) to its annual output.

The Economist

Equivalently, you could regard this as receiving the $800 PRA annuity in full, while the Social Security benefit becomes $700.The important point is that you receive $1,500 while the net cost to the Social Security pay-as-you-go financing is only $700, since $800 comes from the PRA annuity.

The Economist

The hope is that the smaller quantity of long-term Treasury bonds outstanding (outside of the Fed) will tend to raise their price or, equivalently, lower the long-term yield.

The Economist

GDP is of critical economic importance; thousands of economists use estimates of the total amount spent or (equivalently) earned each year in their research.

The Economist

The IFS adds thatWithout oil and gas revenues or, equivalently, assigning them on a population basis, there has been a bigger gap between spending and tax receipts in Scotland in recent years than in the UK as a whole.

The Economist

The theory is that everyone in the experiment was acting on something that economists call "loss aversion"—a trait, which most people have in varying degrees, which causes us to worry more about losses than equivalently sized gains.

The Economist

Even without excluding the don't knows, a clear majority favours treating the drug equivalently to tobacco and alcohol.The data (see chart) reveal some interesting patterns.

The Economist

(or, equivalently, the other way around).

SEP

Such a consequence relation can equivalently be expressed semantically in terms of a preferential semantics (see Section Selection semantics).

SEP

Boolean algebra is the algebra of two-valued logic with only sentential connectives, or equivalently of algebras of sets under union and complementation.

SEP

Expert writing Tips

Best practice

Use "equivalently" to show that two mathematical expressions or logical statements are interchangeable. For example: "x + y = 5; equivalently, y = 5 - x."

Common error

Avoid using "equivalently" when a simpler word like "also" or "too" would suffice. "Equivalently" is best suited for situations where a formal equivalence is being established.

Linguistic Context

The adverb "equivalently" functions as a conjunctive adverb, linking two statements or expressions by indicating that they are logically interchangeable. This is supported by Ludwig's examples, which show its use in mathematical, scientific, and philosophical contexts.

Expression frequency: Very common

Frequent in

Science

50%

News & Media

30%

Wiki

20%

Less common in

Formal & Business

0%

Encyclopedias

0%

Reference

0%

Ludwig's WRAP-UP

In summary, "equivalently" functions as a conjunctive adverb that indicates two statements are logically interchangeable. Ludwig AI validates its correct and frequent usage, noting its prominence in science, news, and wiki contexts. Use "equivalently" to clarify or rephrase complex ideas but avoid overuse in simpler explanations. Alternatives include "in other words" and "similarly", depending on the desired degree of equivalence. Remember, "equivalently" implies a strict logical or mathematical identity.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

in other words

This alternative rephrases the statement for better understanding or clarity.

which is the same as

This explicitly equates the following statement with the previous one.

put differently

This suggests expressing the same idea using different wording or perspective.

that is to say

This alternative introduces a more detailed explanation of the preceding statement.

stated alternatively

This indicates a different way of formulating the same information.

similarly

This suggests a parallel or analogous situation to the original statement.

to phrase it another way

This indicates that the subsequent information is an expression using varied structures.

by the same token

This indicates that the following statement is true for the same reasons as the previous one.

in like manner

This shows that the subsequent statement is being compared with previous one.

by way of explanation

This phrase signals that the following information will further elaborate on what has just been said.

FAQs

How can I use "equivalently" in a sentence?

Use "equivalently" to show that two different statements or expressions have the same meaning or result. For instance, "The two conditions are equivalently defined".

What phrases can I use instead of "equivalently"?

You can use alternatives like "in other words", "similarly", or "that is to say" depending on the context.

When is it appropriate to use "equivalently" in writing?

It is appropriate when you want to indicate that two statements, methods, or expressions are interchangeable or yield the same result. It's often used in mathematical or logical contexts.

What's the difference between "equivalently" and "similarly"?

"Equivalently" implies a strict logical or mathematical equivalence, meaning the two things are exactly the same. "Similarly" suggests a resemblance or analogy but doesn't necessarily imply exact equivalence.