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This page collects helpful resources — Web sites, books, journals, and so on — to assist in writing good mathematics articles. To follow the scientific citation guidelines adopted by WikiProject Mathematics, every article should cite high quality sources where readers can learn more about the topic.
In less formal terms, the group consists of words in the generators and their inverses, subject only to canceling a generator with an adjacent occurrence of its inverse. If G is any group, and S is a generating subset of G, then every element of G is also of the above form; but in general, these products will not uniquely describe an element of G.
{} for references to general websites {} for newspapers and news websites {} for references to books {{cite journal}} for magazines, academic journals, and papers; A template window then pops up, where you fill in as much information as possible about the source, and give a unique name for it in the "Ref name" field.
The Math Video Challenge program allowed students in teams of 4 to create a video that explained the solution to a problem from the Mathcounts School Handbook in a real-world scenario. The program was discontinued in 2023, but a similar video project opportunity is offered through the National Math Club.
It is critical that students learn math concepts using a variety of tools. For example, as students learn to make patterns, they should be able to create patterns using all three of these tools. Seeing the same concept represented in multiple ways as well as using a variety of concrete models will expand students’ understandings.
In abstract algebra, group theory studies the algebraic structures known as groups. The concept of a group is central to abstract algebra: other well-known algebraic structures, such as rings, fields, and vector spaces, can all be seen as groups endowed with additional operations and axioms. Groups recur throughout mathematics, and the methods ...
An example would be if the students in the school had numbers attached to their names ranging from 0001 to 1000, and we chose a random starting point, e.g. 0533, and then picked every 10th name thereafter to give us our sample of 100 (starting over with 0003 after reaching 0993).
In 2004, the program was expanded to include approximately thirty of the highest-scoring American freshmen and sophomores each year, the "red" group; this was later split into two, forming the "green" group, which consists of approximately fifteen of the highest-scoring freshmen and sophomores who have qualified through the USAMO, and the "red ...
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