We give new proofs of some sum–to–product identities due to Blecksmith, Brillhart and Gerst, as well as some other such identities found recently by us. 1. INTRODUCTION AND STATEMENT OF RESULTS In the first two of a sequence of papers, Blecksmith, Brillhart and Gerst [2,3] give ...
Case 1: Considering the Square of Sum of the Numbers According to algebraic identities, it is evident that the Square of the Sum of any two Numbers is equal to the Sum of the Squares of the two Numbers added to twice the product of the Numbers. So, the Sum of the Squares of two Nu...
(D5), for the two experiments, we have the identities A ≡ w j A(z j ) = A(1) + A(2). j (D10) Applying these identities to yz and z2 in Eq. (D4), we obtain μˆ 4 = yz z2 = yz(1) + yz(2) z2(1) + z2(2) = αμˆ (41) + (1 − α)μˆ (...
This kernel is convoluted with the vacuum-to-pion matrix element of the operator formed by a product of the u¯ and d quark fields at a near-light-cone separation, with a generic Dirac structure Γ. The term with S˜0 corresponds to a low-virtuality gluon emitted at a light-cone ...