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2. Word problem for groups - Wikipedia

   en.wikipedia.org/wiki/Word_problem_for_groups

   Word problem for groups. In mathematics, especially in the area of abstract algebra known as combinatorial group theory, the word problem for a finitely generated group is the algorithmic problem of deciding whether two words in the generators represent the same element. The word problem is a well-known example of an undecidable problem .

3. Word (group theory) - Wikipedia

   en.wikipedia.org/wiki/Word_(group_theory)

   In group theory, a word is any written product of group elements and their inverses. For example, if x, y and z are elements of a group G, then xy, z−1xzz and y−1zxx−1yz−1 are words in the set { x , y , z }. Two different words may evaluate to the same value in G, [1] or even in every group. [2] Words play an important role in the ...

4. 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 ...

5. Order (group theory) - Wikipedia

   en.wikipedia.org/wiki/Order_(group_theory)

   In mathematics, the order of a finite group is the number of its elements. If a group is not finite, one says that its order is infinite. The order of an element of a group (also called period length or period) is the order of the subgroup generated by the element. If the group operation is denoted as a multiplication, the order of an element a ...

6. Order of approximation - Wikipedia

   en.wikipedia.org/wiki/Order_of_approximation

   In the zeroth-order example above, the quantity "a few" was given, but in the first-order example, the number "4" is given. A first-order approximation of a function (that is, mathematically determining a formula to fit multiple data points) will be a linear approximation, straight line with a slope: a polynomial of degree 1. For example:

7. Multiple representations (mathematics education) - Wikipedia

   en.wikipedia.org/wiki/Multiple_representations...

   In mathematics education, a representation is a way of encoding an idea or a relationship, and can be both internal (e.g., mental construct) and external (e.g., graph). Thus multiple representations are ways to symbolize, to describe and to refer to the same mathematical entity. They are used to understand, to develop, and to communicate ...