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The trichotomy law is essentially the law for ordering. Given any two real numbers, x and y, either
- x < y, or
- x = y, or
- x > y.
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How does comparing numbers help to order numbers?
A "total order" of a set requires certain properties of the ordering function. For any A, B and C: Transitivity: A>B and B>C implies A>C Trichotomy: A>B or B>A or A=B These properties are true of the '>' operator meaning "greater than" when used to compare real numbers. This means that real numbers can be put in order by comparing them in pairs to see which is greater. Side note: without "Trichotomy", we would have a "partial order", where the order of the set would not be unique. For example, if the set were people, and '>' meant "is an ancestor of", then Transitivity would still be true, but Trichotomy would not. And there would be many ways to order a group of people so that descendants always came before ancestors.
Can a square of real number is a real number?
The square of a real number is always a real number.
Is zero a real number?
Yes, zero is a real number. It is not a counting number, but it is an integer, a rational number, and a real number.
Can a number with a square root be a real number?
Of course, not only can it be a real number but it is a real number. When you take the square root times itself, the result is a number that is real.
Are there real number that are not rational number?
A real number dosen't have to be a rational number as a real number can be rational or irrational i.e the root of 2 is irrational and real. So is (pi).
Does trichotomy axiom hold true for complex numbers?
I think so. In x+iy, x and y are real numbers and have to be <0,0 or >0.
What is a trichotomy?
Division into three parts or elements or a system based on three parts or elements.
How does comparing numbers help order numbers?
A "total order" of a set requires certain properties of the ordering function. For any A, B and C: Transitivity: A>B and B>C implies A>C Trichotomy: A>B or B>A or A=B These properties are true of the '>' operator meaning "greater than" when used to compare real numbers. This means that real numbers can be put in order by comparing them in pairs to see which is greater. Side note: without "Trichotomy", we would have a "partial order", where the order of the set would not be unique. For example, if the set were people, and '>' meant "is an ancestor of", then Transitivity would still be true, but Trichotomy would not. And there would be many ways to order a group of people so that descendants always came before ancestors.
How does comparing numbers help to order numbers?
A "total order" of a set requires certain properties of the ordering function. For any A, B and C: Transitivity: A>B and B>C implies A>C Trichotomy: A>B or B>A or A=B These properties are true of the '>' operator meaning "greater than" when used to compare real numbers. This means that real numbers can be put in order by comparing them in pairs to see which is greater. Side note: without "Trichotomy", we would have a "partial order", where the order of the set would not be unique. For example, if the set were people, and '>' meant "is an ancestor of", then Transitivity would still be true, but Trichotomy would not. And there would be many ways to order a group of people so that descendants always came before ancestors.
In eastenders what is peters real name?
His real name is Thomas Law
Can a square of real number is a real number?
The square of a real number is always a real number.
What is special about the Law posters?
Law posters are special because they often have real laws written on them. They can also have pictures inspired from real trials of the past and real historical events relating to law.
What is the real number in 101.7?
The real number in '101.7' is 101. A real number is a positive whole number.
Is zero a real number?
Yes, zero is a real number. It is not a counting number, but it is an integer, a rational number, and a real number.
Is 8 is an real number?
Nearly any number you can think of is a Real Number. So 8 is a real number.
What are the other real number?
The other real number is 3/pi. I will bet that was not the real number you had in mind and so is an "other" real number.
Is 4.5 a real number?
It is a real number, but it is not a whole number
