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<blockquote data-quote="prosfilaes" data-source="post: 5896704" data-attributes="member: 40166"><p>This isn't theoretical math. It's just notation, and undirected notation isn't terribly interested. 1d4d4 could mean a lot of things, but it doesn't matter unless you want to use those things.</p><p></p><p>I did find that the mathematical notation APL (A Programming Language, but historically a mathematical notation first) does support this. 1 ? 6 would return a random integer between 1 and 6 inclusive. 5 ? 6 would return 5 such integers</p><p>[*]; if you wanted the sum, you'd use the summation operator +/. </p><p></p><p>+/ 3 ? +/ 4 ? 6 would basically be 3d(4d6).</p><p></p><p>The catch is, "4 * 5 + 3" would be 32, since APL has no precedence and always goes right to left. That's why this is so uninteresting; because it doesn't matter what precedence d has if used as an operator, except in that you and your readers need to be on the same track. APL says "4 * 5 + 3"; Forth says "5 3 + 4 *"; most people say "4 * (5 + 3)"; it's all the same, as long as everyone is on the same page.</p><p></p><p>* A beautiful picture, spoiled by an ugly fact; ? returns distinct integers for x ? y if x is less than or equal to y. "+/ 6 ? 6" is always 21. I'm sure an APL fan could show you a quick way around that problem, but I have at best the most passing knowledge with the language.</p></blockquote><p></p>
[QUOTE="prosfilaes, post: 5896704, member: 40166"] This isn't theoretical math. It's just notation, and undirected notation isn't terribly interested. 1d4d4 could mean a lot of things, but it doesn't matter unless you want to use those things. I did find that the mathematical notation APL (A Programming Language, but historically a mathematical notation first) does support this. 1 ? 6 would return a random integer between 1 and 6 inclusive. 5 ? 6 would return 5 such integers [*]; if you wanted the sum, you'd use the summation operator +/. +/ 3 ? +/ 4 ? 6 would basically be 3d(4d6). The catch is, "4 * 5 + 3" would be 32, since APL has no precedence and always goes right to left. That's why this is so uninteresting; because it doesn't matter what precedence d has if used as an operator, except in that you and your readers need to be on the same track. APL says "4 * 5 + 3"; Forth says "5 3 + 4 *"; most people say "4 * (5 + 3)"; it's all the same, as long as everyone is on the same page. * A beautiful picture, spoiled by an ugly fact; ? returns distinct integers for x ? y if x is less than or equal to y. "+/ 6 ? 6" is always 21. I'm sure an APL fan could show you a quick way around that problem, but I have at best the most passing knowledge with the language. [/QUOTE]
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