Keep in mind that what you consider solid proof that the officer is lying may not appear that way to the judge. Even if your PD had done what you wanted him to do, the impact might have been much less dramatic than you believe. I see little point in making a complaint against your PD.
Algebra is a part of mathematics (often called math in the United States and maths in the United Kingdom ). It uses variables to represent a value that is not yet known. When an equals sign (=) is used, this is called an equation.
Abstract algebra is a major area in advanced mathematics, studied primarily by professional mathematicians. Elementary algebra differs from arithmetic in the use of abstractions, such as using letters to stand for numbers that are either unknown or allowed to take on many values.