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2. Order of operations - Wikipedia

   en.wikipedia.org/wiki/Order_of_operations

   Order of operations. In mathematics and computer programming, the order of operations is a collection of rules that reflect conventions about which operations to perform first in order to evaluate a given mathematical expression . These rules are formalized with a ranking of the operations. The rank of an operation is called its precedence, and ...

3. List of mnemonics - Wikipedia

   en.wikipedia.org/wiki/List_of_mnemonics

   The order of flats is B♭, E♭, A♭, D♭, G♭, C♭, and F♭ (reverse order of sharps), which can be remembered using the phrase: Battle Ends And Down Goes Charles' Father; Blanket Exploded And Dad Got Cold Feet. Before Eating A Doughnut Get Coffee First. To remember the difference between the whole rest and the half rest:

4. 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.

5. Lattice (order) - Wikipedia

   en.wikipedia.org/wiki/Lattice_(order)

   e. A lattice is an abstract structure studied in the mathematical subdisciplines of order theory and abstract algebra. It consists of a partially ordered set in which every pair of elements has a unique supremum (also called a least upper bound or join) and a unique infimum (also called a greatest lower bound or meet ).

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. Lexicographic order - Wikipedia

   en.wikipedia.org/wiki/Lexicographic_order

   In mathematics, the lexicographic or lexicographical order (also known as lexical order, or dictionary order) is a generalization of the alphabetical order of the dictionaries to sequences of ordered symbols or, more generally, of elements of a totally ordered set . There are several variants and generalizations of the lexicographical ordering.

9. Complete lattice - Wikipedia

   en.wikipedia.org/wiki/Complete_lattice

   Complete lattice. In mathematics, a complete lattice is a partially ordered set in which all subsets have both a supremum (join) and an infimum (meet). A conditionally complete lattice is one that satisfies at least one of these properties for bounded subsets. For comparison, in a general lattice, only pairs of elements need to have a supremum ...