Further examples of commutative binary operations include addition and multiplication of complex numbers, addition and scalar multiplication of vectors, and intersection and union of sets.
In the analogy that makes intersection the set theoretic counterpart of multiplication and union that of addition, intersection distributes over union, X∩(Y∪Z) = (X∩Y)∪(X∩Z), as for the integers, but unlike the integers union also distributes over intersection: X∪(Y∩Z) = (X∪Y)∩(X∪Z).
Use is made of constitutive rules that are formulated at the fundamental dislocation level to represent dislocation interactions at short-range, including dislocation multiplication and escape at free surfaces, dislocation intersections, and subsequent dynamic source and obstacle creation and destruction.
The main mechanisms underlying the deformation of the crystal are: glide of primary and secondary partial dislocation loops with mixed edge-screw character; intersection of primary and secondary loops to form jogs and junctions; cross-slip; and dislocation multiplication and annihilation.
"Humans are shitty at multiplication and division".
"You were kept after school to review multiplication and division.
Incidentally, a slide rule is largely used for multiplication and division.
Indian mathematicians performed multiplication and algebra, and even ventured toward calculus, a millennium before Europeans.
They should know their basic addition, subtraction, multiplication and division combinations as well as understand them.
Now, students are expected to have a thorough understanding of each concept, like multiplication and division.
