Difference between revisions of "Template:Continued fraction examples"
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imported>Cedar101 m (footer) |
imported>Colonies Chris m (minor fixes) |
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|- style="font-weight:bold;" | |- style="font-weight:bold;" | ||
| − | | rowspan="2"|''ϕ'' =<br /> {{sfrac|{{ | + | | rowspan="2"|''ϕ'' =<br /> {{sfrac|{{radic|5}} + 1|2}} |
! ''a<sub>r</sub>'' | ! ''a<sub>r</sub>'' | ||
| 1 || 1 || 1 || 1 || 1 || 1 || 1 || 1 || 1 || 1 || 1 | | 1 || 1 || 1 || 1 || 1 || 1 || 1 || 1 || 1 || 1 || 1 | ||
| Line 43: | Line 43: | ||
|- | |- | ||
|- style="font-weight:bold;" | |- style="font-weight:bold;" | ||
| − | | rowspan="2"|−''ϕ'' =<br /> −{{sfrac|{{ | + | | rowspan="2"|−''ϕ'' =<br /> −{{sfrac|{{radic|5}} + 1|2}} |
! ''a<sub>r</sub>'' | ! ''a<sub>r</sub>'' | ||
| −2 || 2 || 1 || 1 || 1 || 1 || 1 || 1 || 1 || 1 || 1 | | −2 || 2 || 1 || 1 || 1 || 1 || 1 || 1 || 1 || 1 || 1 | ||
| Line 51: | Line 51: | ||
|- | |- | ||
|- style="font-weight:bold;" | |- style="font-weight:bold;" | ||
| − | | rowspan="2"|{{ | + | | rowspan="2"|{{radic|2}} |
! ''a<sub>r</sub>'' | ! ''a<sub>r</sub>'' | ||
| 1 || 2 || 2 || 2 || 2 || 2 || 2 || 2 || 2 || 2 || 2 | | 1 || 2 || 2 || 2 || 2 || 2 || 2 || 2 || 2 || 2 || 2 | ||
| Line 59: | Line 59: | ||
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|- style="font-weight:bold;" | |- style="font-weight:bold;" | ||
| − | | rowspan="2"|{{frac|1|{{ | + | | rowspan="2"|{{frac|1|{{radic|2}}}} |
! ''a<sub>r</sub>'' | ! ''a<sub>r</sub>'' | ||
| 0 || 1 || 2 || 2 || 2 || 2 || 2 || 2 || 2 || 2 || 2 | | 0 || 1 || 2 || 2 || 2 || 2 || 2 || 2 || 2 || 2 || 2 | ||
| Line 67: | Line 67: | ||
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|- style="font-weight:bold;" | |- style="font-weight:bold;" | ||
| − | | rowspan="2"|{{ | + | | rowspan="2"|{{radic|3}} |
! ''a<sub>r</sub>'' | ! ''a<sub>r</sub>'' | ||
| 1 || 1 || 2 || 1 || 2 || 1 || 2 || 1 || 2 || 1 || 2 | | 1 || 1 || 2 || 1 || 2 || 1 || 2 || 1 || 2 || 1 || 2 | ||
| Line 75: | Line 75: | ||
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|- style="font-weight:bold;" | |- style="font-weight:bold;" | ||
| − | | rowspan="2"|{{frac|1|{{ | + | | rowspan="2"|{{frac|1|{{radic|3}}}} |
! ''a<sub>r</sub>'' | ! ''a<sub>r</sub>'' | ||
| 0 || 1 || 1 || 2 || 1 || 2 || 1 || 2 || 1 || 2 || 1 | | 0 || 1 || 1 || 2 || 1 || 2 || 1 || 2 || 1 || 2 || 1 | ||
| Line 83: | Line 83: | ||
|- | |- | ||
|- style="font-weight:bold;" | |- style="font-weight:bold;" | ||
| − | | rowspan="2"|{{frac|{{ | + | | rowspan="2"|{{frac|{{radic|3}}|2}} |
! ''a<sub>r</sub>'' | ! ''a<sub>r</sub>'' | ||
| 0 || 1 || 6 || 2 || 6 || 2 || 6 || 2 || 6 || 2 || 6 | | 0 || 1 || 6 || 2 || 6 || 2 || 6 || 2 || 6 || 2 || 6 | ||
Latest revision as of 15:09, 31 August 2020
ra: rational approximant obtained by expanding continued fraction up to ar