[1] It has been defined as "that branch of mathematics that concerns itself ultimately with the codification and transmission of insights within the mathematical community through the use of experimental (in either the Galilean, Baconian, Aristotelian or Kantian sense) exploration of conjectures and more informal beliefs and a careful analysis of the data acquired in this pursuit.
However, modern mathematics, beginning in the 17th century, developed a tradition of publishing results in a final, formal and abstract presentation.
Experimental mathematics as a separate area of study re-emerged in the twentieth century, when the invention of the electronic computer vastly increased the range of feasible calculations, with a speed and precision far greater than anything available to previous generations of mathematicians.
Working with high precision values reduces the possibility of mistaking a mathematical coincidence for a true relation.
Applications and examples of experimental mathematics include: Some plausible relations hold to a high degree of accuracy, but are still not true.