## The New Encyclopędia Britannica, Volume 30Encyclopędia Britannica, 1992 - Encyclopedias and dictionaries |

### From inside the book

Results 1-3 of 74

Page 29

-1 + -3 and w - ω Pell equations ery imaginary quadratic

number of u = 1 , or ( u - 1 ) ( u ? + u + 1 ) = 0 . units , all of which are roots of unity

, that is , solutions of the equation xo = 1 for some n . For example , the units in

The ...

-1 + -3 and w - ω Pell equations ery imaginary quadratic

**field**has only a finitenumber of u = 1 , or ( u - 1 ) ( u ? + u + 1 ) = 0 . units , all of which are roots of unity

, that is , solutions of the equation xo = 1 for some n . For example , the units in

The ...

Page 30

But in a

restore unique factorization . ... algebraic number

taking all products aß of an element a in A with an element ß in B , together with ...

But in a

**field**where the unique factorization property fails , ideals can be used torestore unique factorization . ... algebraic number

**field**K is the ideal obtained bytaking all products aß of an element a in A with an element ß in B , together with ...

Page 451

The increase in the strength of this

accelerates the electrons . If the average magnetic

twice as strong as the magnetic

The increase in the strength of this

**field**with time produces an electric**field**thataccelerates the electrons . If the average magnetic

**field**inside the orbit is alwaystwice as strong as the magnetic

**field**on the orbit , the radius of the orbit remains ...### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

NUMBER GAMES and Other Mathematical Recreations | 1 |

NUMBER THEORY | 14 |

NUMERICAL ANALYSIS | 38 |

Copyright | |

53 other sections not shown

### Other editions - View all

### Common terms and phrases

acid animals appear approximation basins become body called carved cause centre century coast colour common contains continental continued culture currents decorated depth early east eastern effect energy equation European example factors field Figure French function given Guinea Gulf human important increased integers islands Italy kilometres known land less light linear magic major margins Marianas material method metres natural North northern object occur ocean organisms original Pacific painting patterns percent period Polynesian population positive practice prime problem produced reefs region relatively represent result ridges rise salinity sediments societies solution South square style surface temperature theory tion traditional Truk types United usually vitamin waves western wind