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hyperope

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Definitions of hyperope in various dictionaries:

noun - a person with hyperopia

noun - a farsighted person

HYPEROPE - In mathematics, the hyperoperation sequence is an infinite sequence of arithmetic operations (called hyperoperations) that starts with the unary oper...

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Possible Dictionary Clues
A farsighted person, a hyperopic person, a person with hyperopia.
a person with hyperopia a farsighted person

Hyperope might refer to
In mathematics, the hyperoperation sequence is an infinite sequence of arithmetic operations (called hyperoperations) that starts with the unary operation of successor (n = 0), then continues with the binary operations of addition (n = 1), multiplication (n = 2), and exponentiation (n = 3), after which the sequence proceeds with further binary operations extending beyond exponentiation, using right-associativity. For the operations beyond exponentiation, the nth member of this sequence is named by Reuben Goodstein after the Greek prefix of n suffixed with -ation (such as tetration (n = 4), pentation (n = 5), hexation (n = 6), etc.) and can be written as using n − 2 arrows in Knuth's up-arrow notation. * Each hyperoperation may be understood recursively in terms of the previous one by:* * * * a * [ * n * ] * b * = * * * * * a * [ * n * − * 1 * ] * ( * a * [ * n * − * 1 * ] * ( * a * [ * n * − * 1 * ] * ( * ⋯ * [ * n * − * 1 * ] * ( * a * [ * n * − * 1 * ] * ( * a * [ * n * − * 1 * ] * a * ) * ) * ⋯ * ) * ) * ) * * ⏟ * * * * * b * * * copies of * * * a * * * * , * * n * ≥ * 2 * * * {\displaystyle a[n]b=\underbrace {a[n-1](a[n-1](a[n-1](\cdots [n-1](a[n-1](a[n-1]a))\cdots )))} _{\displaystyle b{\mbox{ copies of }}a},\quad n\geq 2} * It may also be defined according to the recursion rule part of the definition, as in Knuth's up-arrow version of the Ackermann function: * * * * * a * [ * n * ] * b * = * a * [ * n * − * 1 * ] * * ( * * a * [ * n * ] * * ( * * b * − * 1 * * ) * * * ) * * , * * n * ≥ * 1 * * * {\displaystyle a[n]b=a[n-1]\left(a[n]\left(b-1\right)\right),\quad n\geq 1} * This can be used to easily show numbers much ...

Hyperope might refer to

In mathematics, the hyperoperation sequence is an infinite sequence of arithmetic operations (called hyperoperations) that starts with the unary operation of successor (n = 0), then continues with the binary operations of addition (n = 1), multiplication (n = 2), and exponentiation (n = 3), after which the sequence proceeds with further binary operations extending beyond exponentiation, using right-associativity. For the operations beyond exponentiation, the nth member of this sequence is named by Reuben Goodstein after the Greek prefix of n suffixed with -ation (such as tetration (n = 4), pentation (n = 5), hexation (n = 6), etc.) and can be written as using n − 2 arrows in Knuth's up-arrow notation.
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* {\displaystyle a[n]b=\underbrace {a[n-1](a[n-1](a[n-1](\cdots [n-1](a[n-1](a[n-1]a))\cdots )))} _{\displaystyle b{\mbox{ copies of }}a},\quad n\geq 2}
* It may also be defined according to the recursion rule part of the definition, as in Knuth's up-arrow version of the Ackermann function:
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* {\displaystyle a[n]b=a[n-1]\left(a[n]\left(b-1\right)\right),\quad n\geq 1}
* This can be used to easily show numbers much ...

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