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authorDuncan Wilkie <antigravityd@gmail.com>2023-11-18 08:17:09 -0600
committerDuncan Wilkie <antigravityd@gmail.com>2023-11-18 08:17:09 -0600
commitd78bf5f3cc91f64ecba897dfa88594ced4b87b72 (patch)
treeec54e02110c4d361a56d7ebb39be93e41676e1d3 /README.org
parent11da511c784eca003deb90c23570f0873954e0de (diff)
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Edc is a =dc=-style RPN calculator program, distinct in its use of exact real arithmetic. It uses IC-Reals, a set of C routines developed at Imperial College that implement a system for performing exact (not arbitrary-precision) computations with real numbers (Edalat and Heckmann 2002). The distinction is subtle, but has significant consequences: try computing the 100th term of the sequence
-$$a_0=\frac{11}{2}$$,
+a₀ = 11/2,
-$$a_1=\frac{61}{11}$$,
+a₁ = 61/11,
-$$a_n = 111 - \frac{1130 - \frac{3000}{a_{n - 2}}}{a_{n−1}}$$
+aₙ = 111 - (1130 - 3000/aₙ₋₂)/aₙ₋₁
in Emacs =calc= at precisions 5, 10, 30, 60, 100, 110, 120, 130, and 140.