Kategoriarkiv: Algebra

Modular arithmetic & the Chinese Rest Theorem

Publicerat den februari 21, 2013 av mattelararen

modular arithmetic (sometimes called clock arithmetic) is a system of arithmetic for integers, where numbers ”wrap around” upon reaching a certain value—the modulus. An example of this is the clock which starts repeating itself when it has reached 12. Therefore it … Fortsätt läsa →

Publicerat i Algebra, Gymnasiematematik(high school math) | Lämna en kommentar

Diophantine equations

Publicerat den november 21, 2012 av mattelararen

A Diophantine equation is an equation in which only integers are allowed as coefficients. Also the solutions must be integers. This can be written as ax + by = c. This is a linear diophantine equation. For non-linar diophantine equations … Fortsätt läsa →

Publicerat i Algebra, Gymnasiematematik(high school math), matematik 1c, Uncategorized | Märkt | Lämna en kommentar

Dimensions and different coordinate sytems

Publicerat den oktober 3, 2012 av mattelararen

The number of figures necessary for specifying the position of a point is called the dimension of the space. For a two dimensional space it is sufficient to use two numbers (x, y) : one specifying the position on a … Fortsätt läsa →

Publicerat i Algebra, Geometri, matematik 1c, Uncategorized | Märkt , | 1 kommentar

Definition of groups

Publicerat den juli 19, 2012 av mattelararen

A group in mathematics has the following properties: There exist a set of elements p, q, r, …  and a binary operation which applied to p, q gives pq. The set is closed under this single-valued operation.  The associative law: … Fortsätt läsa →

Publicerat i Algebra | Lämna en kommentar