Jinsi ya kukokotoa Continued Fraction
Continued Fraction ni nini?
Continued fractions express numbers as nested fractions: x = a₀ + 1/(a₁ + 1/(a₂ + ...)); useful for rational approximations.
Mwongozo wa Hatua kwa Hatua
- 1Input decimal or fraction
- 2Generate continued fraction expansion
- 3Calculate convergents (increasingly accurate approximations)
Mifano Iliyotatuliwa
Ingizo
Pi ≈ 3.14159
Matokeo
CF = [3; 7, 15, 1, 292, ...], convergent 355/113 ≈ 3.14159 (extremely accurate)
Makosa ya Kawaida ya Kuepuka
- ✕Terminating before accurate enough
- ✕Confusing with decimal fractions
Maswali yanayoulizwa mara kwa mara
Why continued fractions?
Best rational approximations; pi convergents used in engineering.
Je, uko tayari kukokotoa? Jaribu Kikokotoo kisicholipishwa cha Continued Fraction
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