Additive Number Theory can be best described as the study of sums of sets of integers. A simple example is given two subsets A and B of a set of integers, what facts can we determine about A + B where A + B := {a + b | a ∈ A and b ∈ B}? We will state a result regarding this example shortly. We note that a very familiar problem in Number Theory, namely Lagrange’s theorem that every nonnegative i...

The livestock sector is a fundamental part of the modern global economy and provides food, clothing, furnishings, various other products. So as to ensure its resilience changes in consumer expectations, cost production, environmental sustainability, must shift circular model. Current strategies recover value from wastes low-value co-products industries yield limited value; hence, new technologi...