User:GX, May 1971/Math

Foreword & Introduction

Joshua King came to Cambridge from Hawkshead Grammar School. It was soon evident that the
school had produced someone of importance. He became Senior Wrangler, and his reputation in
Cambridge was immense. It was believed that nothing less than a Second Newton had appeared.
They expected his work as a mathematician to make an epoch in the science. At an early age he
became President of Queens’; later, he was Lucasian Professor. He published nothing; in fact,
he did no mathematical work. But as long as he kept his health, he was an active and prominent
figure in Cambridge, and he maintained his enormous reputation. When he died, it was felt that
the memory of such an extraordinary man should not be permitted to die out, and that his papers
should be published. So his papers were examined, and nothing whatever worth publishing was
found.

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Arithmetic

$\mathbb {N} \ \subset \ \mathbb {Z} \ \subset \ \mathbb {Q} \ \subset \ \mathbb {R} \ \subset \ \mathbb {C} \qquad \qquad \qquad \pi \ >\ e\ >\ \varphi \ >\ {\sqrt {2}}$

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Algebra

$x\ =\ -\,{\frac {b}{a}}\qquad \qquad \qquad \qquad \qquad \qquad \quad \ x\ =\ {\frac {-\,b\ \pm \ {\sqrt {b^{2}\ -\ 4ac}}}{2a}}$

$x\ =\ {\sqrt[{3\,}]{-\ {\frac {q}{2}}\ +\ {\sqrt {\left({\frac {q}{2}}\right)^{2}\ +\ \left({\frac {p}{3}}\right)^{3}}}}}\ +\ {\sqrt[{3\,}]{-\ {\frac {q}{2}}\ -\ {\sqrt {\left({\frac {q}{2}}\right)^{2}\ +\ \left({\frac {p}{3}}\right)^{3}}}}}$

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Analysis

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Geometry

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Apsara Tahimata

$\mathbf {{_{^{\times }}}1}$

$\mathbf {{_{^{+}}}12}$

$\mathbf {{_{^{\times }}}12}$

$\mathbf {{_{^{\times }}}12^{2}}$

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$\scriptstyle \mathbf {1.}$	$\scriptstyle \mathbf {mlen}$	$\scriptstyle \mathbf {upa{\underset {^{,}}{t}}ven}$	$\scriptstyle \mathbf {{\underset {^{,}}{t}}ven}$	$\scriptstyle \mathbf {{\underset {^{,}}{t}}vendi}$
$\scriptstyle \mathbf {2.}$	$\scriptstyle \mathbf {dren}$	$\scriptstyle \mathbf {dren{\underset {^{,}}{t}}ven}$	$\scriptstyle \mathbf {vdezda}$	$\scriptstyle \mathbf {drendovo}$
$\scriptstyle \mathbf {3.}$	$\scriptstyle \mathbf {gafen}$	$\scriptstyle \mathbf {gfen{\underset {^{,}}{t}}ven}$	$\scriptstyle \mathbf {gfendi}$	$\scriptstyle \mathbf {gfendovo}$
$\scriptstyle \mathbf {4.}$	$\scriptstyle \mathbf {{\check {c}}feu}$	$\scriptstyle \mathbf {{\check {c}}feu{\underset {^{,}}{t}}ven}$	$\scriptstyle \mathbf {{\check {c}}fendi}$	$\scriptstyle \mathbf {{\check {g}}vendovo}$
$\scriptstyle \mathbf {5.}$	$\scriptstyle \mathbf {hator}$	$\scriptstyle \mathbf {hator{\underset {^{,}}{t}}ven}$	$\scriptstyle \mathbf {hatordi}$	$\scriptstyle \mathbf {hatordvo}$
$\scriptstyle \mathbf {6.}$	$\scriptstyle \mathbf {{\check {c}}al{\check {s}}}$	$\scriptstyle \mathbf {{\check {c}}la{\check {s}}{\underset {^{,}}{t}}ven}$	$\scriptstyle \mathbf {{\check {c}}la{\check {s}}di}$	$\scriptstyle \mathbf {{\check {c}}la{\check {s}}dovo}$
$\scriptstyle \mathbf {7.}$	$\scriptstyle \mathbf {meglan}$	$\scriptstyle \mathbf {meglan{\underset {^{,}}{t}}ven}$	$\scriptstyle \mathbf {meglandi}$	$\scriptstyle \mathbf {meglandvo}$
$\scriptstyle \mathbf {8.}$	$\eth \scriptstyle \mathbf {rat}$	$\eth \scriptstyle \mathbf {rat{\underset {^{,}}{t}}ven}$	$\eth \scriptstyle \mathbf {rattvi}$	$\eth \scriptstyle \mathbf {rattovo}$
$\scriptstyle \mathbf {9.}$	$\scriptstyle \mathbf {mraven}$	$\scriptstyle \mathbf {mraven{\underset {^{,}}{t}}ven}$	$\scriptstyle \mathbf {mravdi}$	$\scriptstyle \mathbf {mravdovo}$
$\scriptstyle \mathbf {10.}$	$\scriptstyle \mathbf {bezd}$	$\scriptstyle \mathbf {bezd{\underset {^{,}}{t}}ven}$	$\scriptstyle \mathbf {bezdvi}$	$\scriptstyle \mathbf {bezdovo}$
$\scriptstyle \mathbf {11.}$	$\scriptstyle \mathbf {b\!\!\!^{-}\,ater}$	$\scriptstyle \mathbf {b\!\!\!^{-}\,ater{\underset {^{,}}{t}}ven}$	$\scriptstyle \mathbf {b\!\!\!^{-}\,aterdi}$	$\scriptstyle \mathbf {b\!\!\!^{-}\,aterdvo}$
$\scriptstyle \mathbf {12.}$	$\scriptstyle \mathbf {{\underset {^{,}}{t}}ven}$	$\scriptstyle \mathbf {vdezda}$	$\scriptstyle \mathbf {{\underset {^{,}}{t}}vendi}$	$\scriptstyle \mathbf {{\underset {^{,}}{t}}vendovo}$

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$\mathbf {{_{^{\times }}}12^{3}}$

$\mathbf {{_{^{\times }}}12^{4}}$

$\mathbf {{_{^{\times }}}12^{5}}$

$\mathbf {{_{^{\times }}}12^{6}}$

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$\scriptstyle \mathbf {1.}$	$\scriptstyle \mathbf {{\underset {^{,}}{t}}vendovo}$	$\scriptstyle \mathbf {{\underset {^{,}}{t}}vendver}$	$\scriptstyle \mathbf {{\underset {^{,}}{t}}venderdi}$	$\scriptstyle \mathbf {{\underset {^{,}}{t}}venderdvo}$
$\scriptstyle \mathbf {2.}$	$\scriptstyle \mathbf {drendver}$	$\scriptstyle \mathbf {drenderdi}$	$\scriptstyle \mathbf {drenderdvo}$	$\scriptstyle \mathbf {drenderdver}$
$\scriptstyle \mathbf {3.}$	$\scriptstyle \mathbf {gfendver}$	$\scriptstyle \mathbf {gfenderdi}$	$\scriptstyle \mathbf {gfenderdvo}$	$\scriptstyle \mathbf {gfenderdver}$
$\scriptstyle \mathbf {4.}$	$\scriptstyle \mathbf {{\check {g}}vendver}$	$\scriptstyle \mathbf {{\check {g}}venderdi}$	$\scriptstyle \mathbf {{\check {g}}venderdvo}$	$\scriptstyle \mathbf {{\check {g}}venderdver}$
$\scriptstyle \mathbf {5.}$	$\scriptstyle \mathbf {hatordver}$	$\scriptstyle \mathbf {htorderdi}$	$\scriptstyle \mathbf {htorderdvo}$	$\scriptstyle \mathbf {htorderdver}$
$\scriptstyle \mathbf {6.}$	$\scriptstyle \mathbf {{\check {c}}la{\check {s}}dver}$	$\scriptstyle \mathbf {{\check {c}}la{\check {s}}derdi}$	$\scriptstyle \mathbf {{\check {c}}la{\check {s}}derdvo}$	$\scriptstyle \mathbf {{\check {c}}la{\check {s}}derdver}$
$\scriptstyle \mathbf {7.}$	$\scriptstyle \mathbf {meglandver}$	$\scriptstyle \mathbf {mlegderdi}$	$\scriptstyle \mathbf {mlegderdvo}$	$\scriptstyle \mathbf {mlegderdver}$
$\scriptstyle \mathbf {8.}$	$\eth \scriptstyle \mathbf {rattver}$	$\eth \scriptstyle \mathbf {ratterdi}$	$\eth \scriptstyle \mathbf {ratterdvo}$	$\eth \scriptstyle \mathbf {ratterdver}$
$\scriptstyle \mathbf {9.}$	$\scriptstyle \mathbf {mravdver}$	$\scriptstyle \mathbf {mravderdi}$	$\scriptstyle \mathbf {mravderdvo}$	$\scriptstyle \mathbf {mravderdver}$
$\scriptstyle \mathbf {10.}$	$\scriptstyle \mathbf {bezdver}$	$\scriptstyle \mathbf {bezderdi}$	$\scriptstyle \mathbf {bezderdvo}$	$\scriptstyle \mathbf {bezderdver}$
$\scriptstyle \mathbf {11.}$	$\scriptstyle \mathbf {b\!\!\!^{-}\,aterdver}$	$\scriptstyle \mathbf {b\!\!\!^{-}\,terderdi}$	$\scriptstyle \mathbf {b\!\!\!^{-}\,terderdvo}$	$\scriptstyle \mathbf {b\!\!\!^{-}\,terderdver}$
$\scriptstyle \mathbf {12.}$	$\scriptstyle \mathbf {{\underset {^{,}}{t}}vendver}$	$\scriptstyle \mathbf {{\underset {^{,}}{t}}venderdi}$	$\scriptstyle \mathbf {{\underset {^{,}}{t}}venderdvo}$	$\scriptstyle \mathbf {{\underset {^{,}}{t}}venderdver}$

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