English Dictionary

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),.

The difference equation is used to model the behavior of a system over time.

意味（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),.

意味（2）

(mathematics) more broadly, any recurrence relation