My Math

Let R denote the set of real numbers.

• Symmetric upper triangular martices are diagonal
• Matrix multiplication is associative
• Important consequences of the total ordering of R and of the absolute value metric on R
• If a sequence converges, its limit is unique
• Algebra of Convergent Sequences Theorem 1
• Algebra of Convergent Sequences Theorem 2
• Algebra of Convergent Sequences Theorem 3
• Function Limit Theorem
• The square root of 2 is irrational
• The square root of any prime number is irrational
• If the greatest common divisor of a and b is d, then the greatest common divisor of a/d and b/d is 1
• For postive integer n, integers a and c leave the same remainder when divided by n if and only if a-c=nk for some integer k
• The Cartesian Product and Binary Operations
• Rings and Fields
• Groups
• Vector Spaces