## Here some Function History

**History of Linear Functions:**

The history of modern algebra dates back to the early 1840's. In 1843, William Hamilton introduced quaternion, describing mechanics three dimensional space. Arthur Cayley introduced matrices, one of the most fundamental linear algebraic ideas in 1857. Despite these early developments, linear developments has primarily developed in the twentieth century.

Babylon people had the knowledge to solve a 2x2 system of linear equations with two unknowns. "Nine Chapters of Mathematical Art," was published around 200 BC by the Chinese. This was to demonstrate a way to solve a 3x3 system of equations. The simple equation of ax+b=0 is an ancient question worked on by people from

all walks of life. Linear algebra did not flourish until the late 17th century.

The influence of Linear Algebra in the mathematical realm is spread wide because it contains an important center to many practices. Linear Algebra can be used solve systems of linear format. Solving systems of a linear format, find a least-square that best fit lines to predict future outcomes or find trends, and the use of the Fourier series expansion as a means to solving partial differential equations. More broad topics that it is used for are to solve questions of energy in Quantum

mechanics. It is also used to create simple games like Sudoku. These practical applications that Linear Algebra has advanced extremely. "The key, however, is to understand that the history

of linear algebra provides the basis for these applications."

**History of the "m" in the Slope Equation:**

The symbol "m" doesn't have a clear origin. Some textbooks describe the reason for m is unknown but is interesting that the French word for "to climb" is "monter". However there is no evidence of there being any connection between the two. The earliest known example of the symbol appeared in print by O'Brien in 1844. Salmon subsequently uses the symbol in the function to give the slope intercept form of a line, y=m x + b, today.