Translation guide
The English word "infinitesimal" describes something extremely small, often so small it is close to zero or immeasurable. In Japanese, this concept is expressed through specific adjectives, adverbs, and technical terms, depending on whether the context is everyday, scientific, or mathematical.
To describe a quantity, difference, or change that is so tiny it is almost negligible or imperceptible.
A common adjective/noun meaning 'minute' or 'very small'. Used in both everyday and technical contexts to describe size, amount, or degree.
その差は微小だ。
The difference is infinitesimal.
微小な変化しか見られなかった。
Only an infinitesimal change was observed.
Means 'extremely small' or 'minimal'. Often used for physical size or scale, but can also describe abstract quantities.
極小の粒子を観測する。
Observe infinitesimal particles.
Means 'minute' or 'fine'. Often used for details, structures, or particles that are extremely small.
微細な傷がついている。
There is an infinitesimal scratch.
A common adverbial phrase meaning 'a very small amount' or 'slightly'. Used in everyday speech to emphasize how tiny something is.
ごくわずかな違いしかない。
There is only an infinitesimal difference.
ごくわずかに動いた。
It moved an infinitesimal amount.
A casual phrase meaning 'just a little bit'. Less formal than ごくわずか, but conveys a very small quantity.
ほんの少しだけ塩を入れてください。
Add just an infinitesimal amount of salt.
To refer to the mathematical concept of an infinitesimally small quantity, often in calculus or physics.
The direct mathematical term for 'infinitesimal'. Used in calculus and analysis to describe quantities approaching zero.
無限小の概念は微分積分学の基礎です。
The concept of the infinitesimal is fundamental to calculus.
Similar to 微小, but often used in scientific contexts to mean 'very small' or 'minute'. Can be used for quantities, but 無限小 is more precise for the mathematical concept.
To emphasize that something is so small it can be considered zero or has no practical effect.
Literally 'small enough to ignore'. A natural way to express that something is infinitesimal in practical terms.
その影響は無視できるほど小さい。
The effect is infinitesimal (negligible).
Means 'almost zero'. A straightforward, slightly informal way to say something is infinitesimal.
可能性はほとんどゼロだ。
The probability is infinitesimal.
微小 (びしょう) is the most general term for 'very small' and can be used for abstract quantities. 極小 (ごくしょう) emphasizes 'extremely small' and is often used for physical size. 微細 (びさい) implies 'fine' or 'minute' and is common for details or textures.
English 'infinitesimal' is often used hyperbolically. In Japanese, directly translating it as 無限小 may sound overly technical outside of math. Use 微小 or ごくわずか for everyday exaggeration.
Infinitesimal errors can be ignored.