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Tropical semiring
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<p>In <a href="/facts/Idempotent_analysis/fxn8W3Ny">idempotent analysis</a>, the tropical semiring is a <a href="/facts/Semiring/7cSvWXVQ">semiring</a> of <a href="/facts/Extended_real_numbers/65Gs7QS0">extended real numbers</a> with the operations of <a href="/facts/Minimum/ADlgnyzV">minimum</a> (or <a href="/facts/Maximum/ADlgnyzV">maximum</a>) and addition replacing the usual ("classical") operations of addition and multiplication, respectively. </p><p>The tropical semiring has various applications (see <a href="/facts/Tropical_analysis/KnohcU5a">tropical analysis</a>), and forms the basis of <a href="/facts/Tropical_geometry/fFy8Evgv">tropical geometry</a>. The name <i>tropical</i> is a reference to the Hungarian-born computer scientist <a href="/facts/Imre_Simon/YuekHvJf">Imre Simon</a>, so named because he lived and worked in Brazil. </p>