Engineering↗
The Field Laws of Real Number Arithmetic
The commutative, associative, distributive, identity and inverse laws, what each one licenses, and how they justify every step of routine algebraic simplification.
Every page in the KEVOS library tagged identity. 4 pages.
The commutative, associative, distributive, identity and inverse laws, what each one licenses, and how they justify every step of routine algebraic simplification.
Practical introduction to binary operations, transformations, composition, abstract groups, identity, inverses, associativity and commutativity.
Solve linear equations containing variable terms on both sides, including distributive forms and cases with one, no or infinitely many solutions.
Identities, satisfaction, the operators M and Id as a Galois connection, and Birkhoff's HSP theorem identifying varieties with equationally definable classes, with proof.