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  "body": "\n## Summary\n\nDiscrete calculus studies change and accumulation for functions on discrete sets, such as the integers or the vertices and cells of a grid.\nDifference quotients take the place of derivatives, and finite sums take the place of integrals.\nIts results mirror those of ordinary calculus, often with exact formulas instead of limits, and it includes the [[calculus of finite differences|FT9JQA58KJ]].\nIt is used in difference equations, numerical analysis, combinatorics, and in discrete models of geometry and physics.\n\n## Explanations\n\n### L1 human\n\nOrdinary calculus lets the step size shrink to zero; discrete calculus keeps a fixed step.\nA table of daily prices has no derivative, but it has daily changes, and adding the changes gives the total change.\nFor example, the daily changes of the values $1, 3, 7, 15$ are $2, 4, 8$, and their sum $14$ is the change from $1$ to $15$.\nThis is the discrete form of the fundamental theorem of calculus.\n",
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