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Dedekind Cut

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350px-Dedekind_cut_sqrt_2.svg.png Brown Sharpie » Archive » Dedekind Cut File:Dedekind cut sqrt 2.svg - Wikipedia, the free encyclopedia Mathematicians

Original articles from our library related to the Dedekind Cut. See Table of Contents for further available material (downloadable resources) on Dedekind Cut.

Survivalists' Guide for the New Millennium: Chapter 4
THE TRANSFORMATION OF CATERPILLAR TO BUTTERFLY It is not difficult to see that the whole Agenda behind owning a bigger home, a newer car and more land is one of ego. This is an orientation toward the building of an empire of material wealth, in a vain...
Philosophy >> Survivalists Guide for the New Millennium
King James Bible: Leviticus, Chapter 20
Chapter 20 20:1 And the LORD spake unto Moses, saying, 20:2 Again, thou shalt say to the children of Israel, Whosoever he be of the children of Israel, or of the strangers that sojourn in Israel, that giveth any of his seed unto Molech; he shall surely be put...
Old Testament >> Leviticus
Apple Divination
We have all heard and used the expression "An apple a day keeps the doctor away." This expression is based on a very old superstition and is one of many associated with apples. I am quite sure that you have all held an apple in one hand and twisted...
Psychic Abilities >> Divination
The healing heat of Ginger
My first amazing experience with the healing power of Ginger was during a fasting week I assisted as a student. A bit nervous I applied slices of fresh cut Ginger on the lower back area of my teacher-naturopath, since she was suffering from back-ache since...
Herbalism >> Herbs dictionary G
King James Bible: Leviticus, Chapter 7
Chapter 7 7:1 Likewise this is the law of the trespass offering: it is most holy. 7:2 In the place where they kill the burnt offering shall they kill the trespass offering: and the blood thereof shall he sprinkle round about upon the altar. 7:3 And he shall...
Old Testament >> Leviticus
King James Bible: Leviticus, Chapter 17
Chapter 17 17:1 And the LORD spake unto Moses, saying, 17:2 Speak unto Aaron, and unto his sons, and unto all the children of Israel, and say unto them; This is the thing which the LORD hath commanded, saying, 17:3 What man soever there be of the house of...
Old Testament >> Leviticus
Ostara - The Vernal Equimox
ABOUT OSTARA | RITUAL | FOODS | REFERENCES ABOUT OSTARA Ostara (pronounced Oh-star-ah) is also called Eostre, Easter, Vernal Equinox, Spring Equinox, and the First Day of Spring. This is the time of year when day & night are equal, and heralds the return of...
Holidays >> Ostara

Dedekind Cut is described in multiple online sources, as addition to our editors' articles, see section below for printable documents, Dedekind Cut books and related discussion.

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Dedekind cut
Dedekind cut. 1 System of algebraic number. 2 Definition on irrational number before Dedekind.
The Real numbers: Dedekind cuts DEFINITION. A (Dedekind) cut γ
The Real numbers: Dedekind cuts. DEFINITION. A (Dedekind) cut γ is a set of rational numbers with the following properties: 1.
Dedekind cuts in polynomially bounded, O-minimal expansions of
A Dedekind cut p ('cut' for short) of a real closed field M is a pair (pL,pR) of subsets. pL,pR (the Left, Right options of p) of M such that pL < pR and M = pL ∪ pR.
AB2.17: Dedekind Cut
AB2.17: Dedekind Cut. Set of real numbers.
Definition of multiplicative inverse of a Dedekind cut If A > 0 is a
From now on write a for the rational cut Aa if a ∈ Q. Definition For the moment a real number is a Dedekind cut. A rational number is a rational Dedekind cut.

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The only thing I can think of is that you're thinking of the decimal representation of a number (or the Dedekind cut?) as the number. But it isn't; the number is a point; the representation in a decimal system is just a representation.

Suggested Web Resources

Dedekind cut - Wikipedia, the free encyclopedia
PlanetMath: Dedekind cuts
The purpose of Dedekind cuts is to provide a sound logical foundation for the real number system.
Dedekind Cut -- from Wolfram MathWorld
5 days ago Dedekind Cuts." §2.2.
Math Forum - Ask Dr. Math
What is a Dedekind cut?
Dedekind cuts
Dedekind cuts. The first construction of the Real numbers from the Rationals is due to the German mathematician Richard Dedekind (1831 - 1916).

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