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2. Classical Hamiltonian quaternions - Wikipedia

   en.wikipedia.org/wiki/Classical_Hamiltonian...

   Multiplication of two real numbers, two imaginary numbers or a real number by an imaginary number in the classical notation system was the same operation. Multiplication of a scalar and a vector was accomplished with the same single multiplication operator; multiplication of two vectors of quaternions used this same operation as did ...

3. History of quaternions - Wikipedia

   en.wikipedia.org/wiki/History_of_quaternions

   Here as he walked by on the 16th of October 1843 Sir William Rowan Hamilton in a flash of genius discovered the fundamental formula for quaternion multiplication. i2 = j2 = k2 = ijk = −1. & cut it on a stone of this bridge. In mathematics, quaternions are a non- commutative number system that extends the complex numbers.

4. Order of operations - Wikipedia

   en.wikipedia.org/wiki/Order_of_operations

   Order of operations. In mathematics and computer programming, the order of operations is a collection of rules that reflect conventions about which operations to perform first in order to evaluate a given mathematical expression. These rules are formalized with a ranking of the operations. The rank of an operation is called its precedence, and ...

5. Trachtenberg system - Wikipedia

   en.wikipedia.org/wiki/Trachtenberg_system

   Trachtenberg system. The Trachtenberg system is a system of rapid mental calculation. The system consists of a number of readily memorized operations that allow one to perform arithmetic computations very quickly. It was developed by the Russian engineer Jakow Trachtenberg in order to keep his mind occupied while being in a Nazi concentration camp.

6. Multiplication table - Wikipedia

   en.wikipedia.org/wiki/Multiplication_table

   Multiplication table. In mathematics, a multiplication table (sometimes, less formally, a times table) is a mathematical table used to define a multiplication operation for an algebraic system. The decimal multiplication table was traditionally taught as an essential part of elementary arithmetic around the world, as it lays the foundation for ...

7. Matrix (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Matrix_(mathematics)

   Matrix (mathematics) An m × n matrix: the m rows are horizontal and the n columns are vertical. Each element of a matrix is often denoted by a variable with two subscripts. For example, a2,1 represents the element at the second row and first column of the matrix. In mathematics, a matrix (pl.: matrices) is a rectangular array or table of ...