How to pronounce “difference equation”

Meaning

• [Noun]
• (mathematics) An equation involving an ordered sequence of real numbers (
• {
• a
• n
• }
• n
• =
• 1
• ∞
• {\displaystyle \left\{a_{n}\right\}_{n=1}^{\infty }}
• ) and some of its differences, where the first difference is defined as
• Δ
• (
• a
• n
• )
• =
• a
• n
• +
• 1
• −
• a
• n
• {\displaystyle \Delta (a_{n})=a_{n+1}-a_{n}\,}
• and the kth difference is defined recursively as
• Δ
• k
• (
• a
• n
• )
• =
• Δ
• k
• −
• 1
• (
• a
• n
• +
• 1
• )
• −
• Δ
• k
• −
• 1
• (
• a
• n
• )
• {\displaystyle \Delta ^{k}(a_{n})=\Delta ^{k-1}(a_{n+1})-\Delta ^{k-1}(a_{n})\,}
• .
• (mathematics) more broadly, any recurrence relation

Practice Nearby Words

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Similar Sounds

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