Used and loved by millions
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com
translation formula
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "translation formula" is correct and usable in written English.
It can be used in contexts where you are discussing a method or equation used to convert text or data from one language to another. Example: "In our language course, we learned a translation formula that helps us accurately convert phrases from English to Spanish."
✓ Grammatically correct
Science
Encyclopedias
News & Media
Alternative expressions(2)
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Human-verified examples from authoritative sources
Exact Expressions
1 human-written examples
Comparing (46) and (47) one finds immediately the translation formula ϒ n m ( x + y ) = ∑ k = 0 n ∑ l = − k k ϒ k l ( x ) ϒ n − k m − l ( y ).
Human-verified similar examples from authoritative sources
Similar Expressions
59 human-written examples
Multicenter electron-repulsion integrals are calculated using auxiliary functions and two kinds of translation formulas for Slater-type orbitals (STOs) obtained from the expansion of STOs, in terms of exponential-type orbitals at a displaced center, that form complete orthonormal sets and are represented by linear combinations of STOs.
The second reason why the proposed lumping approach is advantageous is that it provides an analytical back-translation formula for the mapping of the states and parameters in the reduced model to those of the original model.
Science
In other words, the QSS values, upon which the back-translation formulas are based, is zero.
Science
We now turn to the problem B above: deriving back-translation formulas.
Science
We then calculate the back-translation formulas (Step B) using Eqs.
Science
(19 - 21 19 - 21k-trasslation formulae to compute the trajectories of the original state variables A, B, and C.
Science
(11) and (13) can in principle be used to calculate back-translation formulae, as is demonstrated with the small example model in the next section.
Science
The method is based on lumping of states, and includes a general and formal algorithm for both determining appropriate lumps, and for calculating the analytical back-translation formulas.
Science
All in all, we believe that the main contribution of this paper is the introduction of the concept of back-translation, and the demonstration that it is possible to derive back-translation formulas in an automatic manner.
Science
In particular, the method should A Automatically identify lumps in a model B Deliver analytical formulas for back-translation In this section we focus on step A, which we will sub-divide in several sub-steps, and in the next section we turn to the calculation of back-translation formulas.
Science
Expert writing Tips
Best practice
When using the phrase "translation formula", ensure the context clearly indicates what is being translated and the domain in which the translation is occurring.
Common error
Avoid using "translation formula" in contexts where a more specific term like "algorithm" or "equation" would be more accurate. The term implies a direct mapping or conversion, which may not always be the case.
Source & Trust
78%
Authority and reliability
4.1/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "translation formula" functions as a noun phrase, typically serving as the subject or object of a sentence. It refers to a specific method, equation, or algorithm used to convert information from one form to another. As Ludwig AI pointed out, it can be used in contexts where you are discussing a method or equation used to convert text or data from one language to another.
Frequent in
Science
65%
Encyclopedias
15%
News & Media
10%
Less common in
Formal & Business
5%
Reference
3%
Social Media
2%
Ludwig's WRAP-UP
In summary, "translation formula" is a noun phrase referring to a specific method or equation used to convert information. As Ludwig AI confirms, the phrase is correct and usable in written English. While grammatically sound, it is relatively rare in general usage and is primarily found in scientific and technical contexts. Alternative terms like "conversion method" or "translational equation" may be more appropriate depending on the specific context. When using "translation formula", clarity is crucial to specify the nature of the translation being performed.
More alternative expressions(6)
Phrases that express similar concepts, ordered by semantic similarity:
conversion method
Focuses on the process of converting one form to another, emphasizing the transformation itself.
translational equation
Highlights the mathematical aspect of the formula used in translation.
mapping function
Emphasizes the mathematical function that maps elements from one set to another.
interpretation key
Suggests a key or code used for interpreting one system in terms of another.
code translation
Specific to the conversion of code or programming languages.
transformation rule
Indicates a rule set for transforming data or information.
conversion algorithm
Emphasizes the algorithmic process of converting one form to another.
decoding scheme
Refers to a specific scheme used for decoding or translating information.
transcription protocol
Applicable when converting spoken or written language.
rewriting system
Focuses on a system that rewrites expressions or formulas.
FAQs
How can I use "translation formula" in a sentence?
You can use "translation formula" to describe a specific method or equation used to convert text or data from one language or system to another. For example, "The software utilizes a complex "translation formula" to convert code from Python to C++."
What is an alternative to "translation formula"?
Alternatives include "conversion method", "translational equation", or "mapping function", depending on the specific context and the nature of the translation process.
Is "translation formula" the same as "conversion algorithm"?
While related, ""translation formula"" often implies a direct mapping, whereas "conversion algorithm" suggests a more complex process involving multiple steps or conditions.
What does "back-translation formula" mean in systems biology?
In systems biology, a "back-translation formula" refers to a method for mapping states and parameters from a reduced model back to the original, more complex model after a simplification process known as lumping.
Editing plus AI, all in one place.
Stop switching between tools. Your AI writing partner for everything—polishing proposals, crafting emails, finding the right tone.
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Source & Trust
78%
Authority and reliability
4.1/5
Expert rating
Real-world application tested