Difference between revisions of "Template:AotD"

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===[[Cauchy-Schwarz inequality]]===
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===[[Fibonacci sequence]]===
The Cauchy-Schwarz Inequality (which is known by other names, including Cauchy's Inequality, Schwarz's Inequality, and the Cauchy-Bunyakovsky-Schwarz Inequality) is a well-known inequality with many elegant applications... [[Cauchy-Schwarz inequality|[more]]]
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The '''Fibonacci sequence''' is a [[sequence]] of [[integer]]s in which the first and second terms are both equal to 1 and each subsequent term is the sum of the two preceding it.  The first few terms are <math>1, 1, 2, 3, 5, 8, 13, 21, 34, 55,...</math>.
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The Fibonacci sequence can be written [[recursion|recursively]] as <math>F_1 = F_2 = 1</math> and <math>F_n=F_{n-1}+F_{n-2}</math> for <math>n \geq 3</math>.  This is the simplest nontrivial... [[Fibonacci sequence|[more]]]
 
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Revision as of 13:34, 16 December 2007

Fibonacci sequence

The Fibonacci sequence is a sequence of integers in which the first and second terms are both equal to 1 and each subsequent term is the sum of the two preceding it. The first few terms are $1, 1, 2, 3, 5, 8, 13, 21, 34, 55,...$.

The Fibonacci sequence can be written recursively as $F_1 = F_2 = 1$ and $F_n=F_{n-1}+F_{n-2}$ for $n \geq 3$. This is the simplest nontrivial... [more]