Weeds compete with crops for water, nutrients, and light consequently, have adverse effects on the crop yield overall productivity. Mechanical weeding is most common non-chemical method weed control, which applied in organic farming, cultivator implement mechanical weeding. This study aimed to design develop an innovative active tool optimize cultivation depth, can avoid damage roots improve ke...

For N?2, an N-qubit doily is a living in the symplectic polar space. These doilies are related to operator-based proofs of quantum contextuality. Following and extending strategy Saniga et al. (Mathematics 9 (2021) 2272) that focused exclusively on three-qubit doilies, we first bring forth several formulas giving number both linear quadratic for any N>2. Then present effective algorithm generat...

We extend the concept of amenability of a Banach algebra A to the case that there is an extra A -module structure on A, and show that when S is an inverse semigroup with subsemigroup E of idempotents, then A = l(S) as a Banach module over A= l(E) is module amenable iff S is amenable. When S is a discrete group, l(E) = C and this is just the celebrated Johnson’s theorem.

We prove that the almost-entropic region of order four is not semialgebraic, we get as a corollary Matus’ Theorem, which asserts that the almost-entropic regions of order larger than four are not polyhedral. We discuss the algorithmic consequences of our result.