epsilon

epsilon — 名詞

1. In the Greek writing system, the character that appears fifth in the set is epsi

1.名詞B1
釋義

艾普西隆

希臘字母表的第五個字母

In the Greek writing system, the character that appears fifth in the set is epsilon, written as Ε (uppercase) or ε (lowercase) and widely used as a symbol in mathematics and science.

例句

Professor Andrei wrote a lowercase epsilon on the board during the calculus lecture.

Andrei 教授在微積分課堂上，在黑板上寫了一個小寫的艾普西隆。

lowercase/uppercase epsilon

The symbol ε often appears in formulas for limits and series in advanced math textbooks.

在高等數學課本中，符號 ε 經常出現在極限與數列的公式裡。

同義詞
  • ε

    the actual Greek letter symbol, used in place of the word in mathematical writing

  • fifth letter

    descriptive phrase naming its position in the Greek alphabet

文法句型

an epsilon

lowercase/uppercase epsilon

epsilon + noun (epsilon-delta proof)

用法筆記

Countable noun; the plural is 'epsilons'. In mathematical writing, the lowercase form ε is far more common than the uppercase Ε. Learners in STEM fields will encounter epsilon most often as a symbol for an arbitrarily small positive quantity, especially in limit proofs (epsilon-delta definition). Outside technical contexts, epsilon appears in the names of fraternities, sororities, and academic honour societies.

常見錯誤

❌The value of epsilon is equal to 5%.
✅The value of ε is equal to 5%.
💡In mathematical writing the Greek letter symbol is preferred over spelling out the word.
❌Write a capital epsilon at the start of the equation.
✅Write a lowercase epsilon for the small quantity.
💡The uppercase Ε looks like a capital E and is rarely used in formulas; lowercase ε is the symbol for small values.