When translating the Methods section, I didn’t change a single symbol in the equations
The first time I translated a Methods section, I “translated” the equations too: I replaced English variable names with Chinese and changed units to Chinese forms.
As a result, my advisor looked at two lines and said, “With equations like this, no one can match them to the original.”
Don’t translate equations; translate only “what they say”
Equations themselves are language-independent, and symbols are international conventions. Translating them amounts to creating a second notation system.
I now set three red lines for myself:
1. Do not change symbols: If the original uses σ, ε, λ, the translation still uses σ, ε, λ.
2. Do not change subscripts or superscripts: Whether the subscript is 0 or t, its position must not change.
3. Keep units in their original form: Copy MPa, ℃, and wt.% as they are; do not change them to “megapascal” or “degrees Celsius.”
Beyond these three rules is what actually needs translating: what the equation describes, under what conditions it holds, and which quantity is the independent variable.
Explain variable names when they first appear
Leave the symbols unchanged, but explain them.
When σ first appears, I write a sentence: “σ is stress (notation as in the original), in MPa.”
I put this sentence below the equation rather than cramming it into the equation.
Readers don’t need a “Chinese equation”; they need a “symbol list they can understand.”
Which sentences must match word for word
In the Methods section, there are three types of sentences I translate most carefully:
| Sentence type | Why be careful | Example |
| Conditional sentences | If the condition changes, the conclusion no longer holds | “at a strain rate of 0.1 s⁻¹” |
| Negative sentences | Missing a “not” reverses the meaning | “not significantly different” |
| Comparative sentences | Which is compared with which—the direction must not be reversed | “A is about 12% higher than B” |
After translating these three types of sentences, I go back and compare them with the original—using MuchSci’s paragraph-level comparison, with one line of Chinese and one line of the original, without looking at the Chinese.
An example of a translation fail
The original says “samples were tested at strain rates ranging from 10⁻³ to 10³ s⁻¹”.
My first version translated it as “samples were tested at strain rates of 10⁻³ to 10³,” missing “ranging from...to,” so it read as if there were three fixed values.
Only by adding the word “range” was it correct. This kind of omission can only be caught by going back to the original.
How to translate paragraphs with many equations
My approach is to split sentences first: divide a paragraph into three parts—“condition—operation—result”—translate each part, and then combine them.
After splitting and recombining, the Chinese order is often different from the English—English tends to put conditions later, while Chinese tends to put them earlier.
The tool approach I use
Upload the entire PDF and use paragraph-level comparison: original on the left, translation on the right, with equations in corresponding positions, so I can revise directly against the original sentence.
MuchSci’s paper translation preserves equations and symbols, so after translation I don’t need to re-typeset the equations—this is especially important for the Methods section, because once equations get messed up, all the surrounding text has to be realigned.
A checking method
After translating the Methods section, I do a “symbol inventory”: list all symbols that appear in the original, then find them in the translation; only when the counts match am I done.
This step takes five minutes and can prevent most careless errors.
A few reflections
When translating the Methods section, the point is not “smooth translation” but “matching the original.”
Leaving equations and symbols unchanged is so others can use your translation to reproduce the experiment; being meticulous with conditional and negative sentences is to keep the meaning from drifting.
If these two things are done, even less polished writing is still usable; if they are not done, no matter how good the writing is, it is a wasted draft. MuchSci’s paper translation “saves manual work” in this part, but judging which sentences must not be wrong is still up to me to watch.