chain-frac-1.adp
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<html>
<head>
<title>Chain Fraction</title>
</head>
<body>
<h2>Chain Fraction</h2>
<h3>Natural <var>e</var></h3>
<p>
@e@ =
@e0@ + 1/(
@e1@ + 1/(
@e2@ + 1/(
@e3@ + 1/(
@e4@ + 1/(
@e5@ + 1/(
@e6@ + 1/(
@e7@ + 1/(
@e8@ + 1/(
@e9@ + 1/(
@e10@ + 1/(
@e11@ + 1/(
@e12@ + 1/(
@e13@ + 1/(
@e14@ + 1/(
@e15@ + 1/(
@e16@ + 1/(
@e17@ + 1/(
@e18@ + 1/(
@e19@ + ...
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
</p>
<h3>Golden Ratio</h3>
<p>
@g@ =
@g0@ + 1/(
@g1@ + 1/(
@g2@ + 1/(
@g3@ + 1/(
@g4@ + 1/(
@g5@ + 1/(
@g6@ + 1/(
@g7@ + 1/(
@g8@ + 1/(
@g9@ + 1/(
@g10@ + 1/(
@g11@ + 1/(
@g12@ + 1/(
@g13@ + 1/(
@g14@ + 1/(
@g15@ + 1/(
@g16@ + 1/(
@g17@ + 1/(
@g18@ + 1/(
@g19@ + ...
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
</p>
<h3>Square root of 3</h3>
<p>
@r@ =
@r0@ + 1/(
@r1@ + 1/(
@r2@ + 1/(
@r3@ + 1/(
@r4@ + 1/(
@r5@ + 1/(
@r6@ + 1/(
@r7@ + 1/(
@r8@ + 1/(
@r9@ + 1/(
@r10@ + 1/(
@r11@ + 1/(
@r12@ + 1/(
@r13@ + 1/(
@r14@ + 1/(
@r15@ + 1/(
@r16@ + 1/(
@r17@ + 1/(
@r18@ + 1/(
@r19@ + ...
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
</p>
<h3>Your <var>x</var></h3>
<p>
@x@ =
@n0@ + 1/(
@n1@ + 1/(
@n2@ + 1/(
@n3@ + 1/(
@n4@ + 1/(
@n5@ + 1/(
@n6@ + 1/(
@n7@ + 1/(
@n8@ + 1/(
@n9@ + 1/(
@n10@ + 1/(
@n11@ + 1/(
@n12@ + 1/(
@n13@ + 1/(
@n14@ + 1/(
@n15@ + 1/(
@n16@ + 1/(
@n17@ + 1/(
@n18@ + 1/(
@n19@ + ...
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
</p>
</body>
</html>
