Definition
A magma is a set matched with an operation "" that sends any two elements to another element . The symbol "" is a general placeholder for a properly defined operation. To qualify as a magma, the set and operation must satisfy the following requirement (known as the magma axiom):
- For all, in, the result of the operation is also in .
And in mathematical notation:
Read more about this topic: Magma (algebra)
Famous quotes containing the word definition:
“... we all know the wag’s definition of a philanthropist: a man whose charity increases directly as the square of the distance.”
—George Eliot [Mary Ann (or Marian)
“Scientific method is the way to truth, but it affords, even in
principle, no unique definition of truth. Any so-called pragmatic
definition of truth is doomed to failure equally.”
—Willard Van Orman Quine (b. 1908)
“Beauty, like all other qualities presented to human experience, is relative; and the definition of it becomes unmeaning and useless in proportion to its abstractness. To define beauty not in the most abstract, but in the most concrete terms possible, not to find a universal formula for it, but the formula which expresses most adequately this or that special manifestation of it, is the aim of the true student of aesthetics.”
—Walter Pater (1839–1894)