Last Updated：2025/11/25

Dictionary quizzes to help you remember the meaning

Dictionary quizzes to help you remember the meaning

difference equation

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Source Word

difference equation

Noun

(mathematics) An equation involving an ordered sequence of real numbers (a_nₙ₌₁ ᪲) and some of its differences, where the first difference is defined as 𝛥(a_n)=a_n+1-a_n, and the kᵗʰ difference is defined recursively as 𝛥ᵏ(a_n)=𝛥ᵏ⁻¹(a_n+1)-𝛥ᵏ⁻¹(a_n),.

Japanese Meaning

差分方程式：数列の各項とそれらの間の差（差分）を用いて記述される数学の方程式。特に、初項以降の各項の差が再帰的に定義され、数列の性質や挙動を解析するために用いられる。

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Google Translation / DeepL Translation

その数学者は、実数の数列とその差分を用いて各項が前の項にどのように依存するかをモデル化するために差分方程式を用いた。

Sense（1）

(mathematics) An equation involving an ordered sequence of real numbers (a_nₙ₌₁ ᪲) and some of its differences, where the first difference is defined as 𝛥(a_n)=a_n+1-a_n, and the kᵗʰ difference is defined recursively as 𝛥ᵏ(a_n)=𝛥ᵏ⁻¹(a_n+1)-𝛥ᵏ⁻¹(a_n),.

Sense（2）

(mathematics) more broadly, any recurrence relation

difference equations

（ plural ）

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