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| שורה 1: |
שורה 1: |
| '''Archimedes''' was a [[Greek]] [[mathematician]] who is best known for the myriad mathematical
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| [[notation]]s that he invented, most of which are still in use today. His earliest work included
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| devising simple [[inline equation]]s such as <math>\sin x = \cos^2(y+t)</math> and
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| <math>x^2 + y^2 = -e^{-\theta}</math>. He pioneered the use of greek symbols such as
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| <math>\alpha</math> in English writing. While performing complicated calculations such as
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| <math>\sum_{i=1}^3 i^2 = 47</math>, he noticed that despite the baseline of the equation
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| lining up nicely with the surrounding text, the so-called [[displayed equation]]
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| : <math>\displayed\sum_{i=1}^3 i = 46, \qquad \textrm{unless} 46 \not= 47</math>
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| was probably better value. A similar effect occurred for integrals such as
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| <math>\int_0^1 \sin^2 x \, dx</math>. He marked this up using the kludgy "\displayed"
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| command, although he suspected that later and greater thinkers would come up with something
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| better. When he couldn't make up his mind he would write
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| : <math>\displayed F(x) = \begin{cases} \left\uparrow\frac{\partial^2 G}{\partial u \partial v}\right\}
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| & \textrm{if the sky was \bf blue}, \\ A_0 + \cdots + A_k & \textit{if Troy was on the attack.}
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| \end{cases}</math>
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| He also invented the polynomial rings <math>\mathbf{R}[x]</math>,
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| <math>\mathcal{C}[y]</math> and <math>\boldsymbol{\mathcal{C}[z]}</math>, and being
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| fluent in Chinese he was comfortable writing things like
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| :<math>\displayed 钱 = \sqrt{不好},</math>
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| although historians have debated whether his Chinese really was all that good.
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| www.sikumuna.co.il/a.mml
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