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2. Partially ordered set - Wikipedia

   en.wikipedia.org/wiki/Partially_ordered_set

   In mathematics, especially order theory, a partial order on a set is an arrangement such that, for certain pairs of elements, one precedes the other. The word partial is used to indicate that not every pair of elements needs to be comparable; that is, there may be pairs for which neither element precedes the other.

3. Order of magnitude - Wikipedia

   en.wikipedia.org/wiki/Order_of_magnitude

   For example, the nearest order of magnitude for 1.7 × 10 8 is 8, whereas the nearest order of magnitude for 3.7 × 10 8 is 9. An order-of-magnitude estimate is sometimes also called a zeroth order approximation. Order of magnitude difference. An order-of-magnitude difference between two values is a factor of 10. Non-decimal orders of magnitude

4. Set (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Set_(mathematics)

   In mathematics, a set is a collection of different [1] things; [2] [3] [4] these things are called elements or members of the set and are typically mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets. [5] A set may have a finite number of elements or be an infinite set.

5. Degree of a polynomial - Wikipedia

   en.wikipedia.org/wiki/Degree_of_a_polynomial

   In mathematics, the degree of a polynomial is the highest of the degrees of the polynomial's monomials (individual terms) with non-zero coefficients. The degree of a term is the sum of the exponents of the variables that appear in it, and thus is a non-negative integer. For a univariate polynomial, the degree of the polynomial is simply the ...

6. Ordinal number - Wikipedia

   en.wikipedia.org/wiki/Ordinal_number

   In set theory, an ordinal number, or ordinal, is a generalization of ordinal numerals (first, second, n th, etc.) aimed to extend enumeration to infinite sets. [1] A finite set can be enumerated by successively labeling each element with the least natural number that has not been previously used.

7. Class (set theory) - Wikipedia

   en.wikipedia.org/wiki/Class_(set_theory)

   Class (set theory) In set theory and its applications throughout mathematics, a class is a collection of sets (or sometimes other mathematical objects) that can be unambiguously defined by a property that all its members share. Classes act as a way to have set-like collections while differing from sets so as to avoid paradoxes, especially ...

8. Commutative property - Wikipedia

   en.wikipedia.org/wiki/Commutative_property

   In mathematics, a binary operation is commutative if changing the order of the operands does not change the result. It is a fundamental property of many binary operations, and many mathematical proofs depend on it. Perhaps most familiar as a property of arithmetic, e.g. "3 + 4 = 4 + 3" or "2 × 5 = 5 × 2", the property can also be used in more ...

9. Canonical form - Wikipedia

   en.wikipedia.org/wiki/Canonical_form

   In mathematics and computer science, a canonical, normal, or standard form of a mathematical object is a standard way of presenting that object as a mathematical expression. Often, it is one which provides the simplest representation of an object and allows it to be identified in a unique way. The distinction between "canonical" and "normal ...