All integers more than 0, although 0 is sometimes included in the set.
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Zero is several sorts of numbers. It is actually both. "Real numbers", "Rational numbers", "irrational numbers", "integers", "trancendental numbers", "cardinal numbers" and so forth, all have their own definitions. These definitions define a SET of numbers. A single number can belong to several SETs.Real numbers are numbers that can be written as an infinite decimal expansion. It includes numbers like fractions eg 1/7 and PI. Real numbers can also be split into algebraic and transcendental numbers but the definition is too complicated here. 0 is a member of this SETRational numbers work out to be the same but there is a slightly different definition. 0 is a member of this SETIrrational numbers belong to the set of two dimensional numbers of the vector form a + b x i where i is the square root of -1. 0 = 0 + 0 x i so zero is also a member of this SETIntegers are the set of normal counting numbers both positive, negative and 0.I have not included any more here because they are a part of number theory and not part of a discussion on logic (SETs).No, it is a rational number.
You can define the domain as anything you like and that will determine the range. Or, you can define the range as anything you like and that will determine the domain. For example: domain = {1, 2, 3, 4, ... } then range = {-3, 0, 5, 12, ... } or range = {1, 2, 3, 4, ... } then domain = {sqrt(5), sqrt(6), sqrt(7), sqrt(8), ...}. There is, of course, no need to restrict either set to integers but then it was easier to work out one set from the other.
There are many possible operations. The basic ones are addition, subtraction, multiplication and division. To that you can add reciprocals, exponentiation, logarithms, trigonometric, hyperbolic. In fact, you can define your own operations. For example a ~ b = 3a - 2b2 is an operation.
The noun forms for the verb to define are difinability, definement, and the gerund, defining. Another noun form is definition.
Depends how you define it. For a particular problem, you can arbitrarily define one direction as positive, in this case, the other direction is negative.