In set theory, a relation that is reflexive, symmetric, & transitive on a set X is called an equivalence relation on X. SImply put as a graph, reflexive me ans there is a loop, symetric means for every directed edge from v to w, there is also a directed edge from w to v, and transitive means for a directed edge x to y, and y to z, there is also an edge from x to z. |
Category: Mathematics
Mathematics uses many concepts in threes. The first structure mathematically is a triangle. There are acute, right, and obtuse angles. Trigonometry is the study of the relationship of the sides of a triangle. Have your heard of Pascal's Triangle?
fraction 1/3
The fraction 1/3 is equal to 0.3333333333333…
The Matrix
The Matrix
By Fredrick@pentapublishing.com
More than 22 centuries ago, Aristosthenes gave the world his delivery on the prime numbers. Many have wondered about the nature of prime numbers, and many deliveries have been written about prime numbers since. In my book "In Search of a Cyclops" (published in 2000 as "The Proof of Nothing," with both versions available at pentapublishing.com), I take a different look at prime numbers. I use their sequencing as the explanatory basis for all numbers, and through the prime numbers I was able to discover a special matrix of all numbers. It is a delivery that does not give the number 3 the most important position. But the intriguing and controversial matrix does explain the numerous occurrences of threes we find all around us.