equivalent up to

USAGE SUMMARY

The phrase "equivalent up to" is correct and usable in written English.
It is typically used in mathematical or technical contexts to indicate that two things are the same in a certain respect or under specific conditions. Example: "The two equations are equivalent up to a constant factor, meaning they yield the same results when multiplied by that factor."

✓ Grammatically correct

Science

News & Media

Formal & Business

Human-verified examples from authoritative sources

Exact Expressions

12 human-written examples

According to our experts, a self-made explosive device equivalent up to 1 kg of TNT was set off on board, which explains why the fragments of the aircraft were scattered over a large area.

Independent

Most of the big banks and building societies have gone down a "restricted advice" route in which they can only sell a limited range of products, but will still charge you a fee equivalent up to 3% of your initial investment plus 0.5% a year, plus fund management fees on top.

The Guardian - Money

In the set (iv), all the controllers are equivalent up to the phase shift.

EPJ Quantum Technology

The approximability of these two problems is equivalent up to a factor 2−ε[2].

Theoretical Computer Science

I N is the identity matrix and ∝ operator means that two terms are equivalent up to irrelevant additive and multiplicative values.

EURASIP Journal on Wireless Communications and Networking

These are equivalent (up to a scaling factor) under a constant illuminant.

Plosone

Human-verified similar examples from authoritative sources

Similar Expressions

48 human-written examples

No equivalent, up-to-date book exists in Egypt that would allow locals to learn about migrants, start to watch them and then build a larger community of local birders and bird-conservationists.

The Guardian

The hole, had it been bored to its full, 87km circumference, would have housed a machine called the Superconducting Super Collider (SSC), which would have been the world's biggest particle accelerator.Accelerators use electric and magnetic fields to whip electrically charged sub-atomic particles (electrons, protons and their antimatter equivalents) up to speeds near that of light.

The Economist

The results (Table 1) showed mycobacterial copies in extracts ranging from a few hundred genome equivalents up to over 2 million.

BMC Veterinary Research

Its Swiss equivalent allows up to five years," Carbonnier explains.

The Guardian

It would, the company said, achieve the equivalent of up to 112 m.p.g.

The New York Times

Expert writing Tips

Best practice

When using "equivalent up to", clearly specify the parameter or condition under which the equivalence holds true to avoid ambiguity. For instance, "the results are equivalent up to a scaling factor".

Common error

Avoid using "equivalent up to" without specifying what aspect or condition makes them equivalent. Simply stating "these values are equivalent up to" leaves the reader wondering under what circumstances this is true.

Linguistic Context

The phrase "equivalent up to" functions as a prepositional phrase that modifies a noun or clause, indicating a qualified equivalence. Ludwig indicates that it's used to express similarity or comparability within specific limitations, such as a scaling factor or a margin of error.

Expression frequency: Rare

Frequent in

Science

60%

News & Media

30%

Formal & Business

10%

Less common in

Wiki

0%

Encyclopedias

0%

Reference

0%

Ludwig's WRAP-UP

In summary, the phrase "equivalent up to" is a prepositional phrase used to express a qualified similarity between two or more things. It is most frequently found in scientific and technical contexts, where precision is important but some level of approximation is acceptable. As Ludwig confirms, this phrase is grammatically correct and serves to indicate that the equivalence holds under specific conditions or within certain limits. When using this phrase, ensure that the context of equivalence is clearly stated to avoid ambiguity.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

almost the same as

Directly states that two things are very close but not perfectly identical.

virtually identical to

Implies that two things are so close in similarity that any differences are insignificant.

approximately equal to

This phrase implies a degree of similarity that is not exact, but close enough for practical purposes.

roughly equivalent to

Similar to "approximately equal to", it emphasizes that the equivalence is not precise.

substantially similar to

This phrase suggests a significant degree of likeness, though not necessarily identical.

analogous to

Indicates a similarity between two things that allows for comparison, often in terms of function or structure.

comparable to

Indicates that two things can be reasonably compared and have similar characteristics or values.

tantamount to

Implies that something is virtually the same as something else, especially in effect or value.

on par with

This phrase denotes equality in status or quality.

in the same ballpark as

An informal expression suggesting that two values are within a similar range.

FAQs

What does "equivalent up to" mean?

The phrase "equivalent up to" signifies that two things are nearly equal or comparable within a specified limit, condition, or factor. The exact meaning depends on the context, such as "equivalent up to a scaling factor" or "equivalent up to a constant".

How can I use "equivalent up to" in a sentence?

You can use "equivalent up to" to show that two things are similar in a certain respect, such as "These solutions are equivalent up to a phase shift" or "The energy saving was "equivalent up to 8 years" of operational energy use".

What is a good alternative to "equivalent up to"?

Depending on the context, suitable alternatives to "equivalent up to" include "approximately equal to", "roughly equivalent to", or "substantially similar to".

When is it appropriate to use "equivalent up to" in writing?

It is appropriate to use "equivalent up to" in technical or scientific writing when you want to express that two entities are similar in some important way but not necessarily identical. For example, you might say that two mathematical expressions are "equivalent up to a factor" if they produce the same results after multiplying one of them by a constant.