Speakur

Word Pronunciation & Dictionary

goat grazing problem

Word Rarity Rare

Frequency: Zipf frequency 3.37 in modern English

Syllables
goat -graz-ing prob-lem
IPA
36
Scrabble Score
18
Letters
4
Syllables
13
Unique Chars

Meaning

noun

The problem: given a field of radius 1, and a goat tied to a point on the edge of said field; how long a rope should the goat be tied to, so that the goat has access to exactly half of the field? Equivalently: given a unit circle C and a point P on the rim of C, what is the value of r such that exactly half of the area within C, is within distance r of point P?

noun

The same problem generalized to any number of dimensions: given a unit n-sphere (n-dimensional hypersphere) S, and a point P on the edge of S, what is r such that exactly one-half of the space (content) within S, is within distance r of P?

Inflected Forms

goat grazing problems (plural)

Synonyms

goat problem

Questions

What does goat grazing problem mean?
The problem: given a field of radius 1, and a goat tied to a point on the edge of said field; how long a rope should the goat be tied to, so that the goat has access to exactly half of the field? Equivalently: given a unit circle C and a point P on the rim of C, what is the value of r such that exactly half of the area within C, is within distance r of point P?

How to pronounce goat grazing problem

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