The equation $x' \equiv xd - dx = b$

THE EQUATION x'mXd-dx**b

for all #, y in 31 and all a in $. The constants relative to such a derivation are the elements of 3t that commute with d. We shall call an element b a d-integral if b~a for some element a in 31, that is, if the equation x' ~xd—dx*=b has a solution in 31. Clearly if a is a solution of this equation then the totality of solutions is the set {a+c} where c ranges over the set of d-constants. In a ...

The Inclusive Decays B → DX and B → D ∗ X

We report new measurements of the differential and total branching ratios for inclusive B decay to D, D and D and the first measurement of the same quantities for inclusive B decay to D. Here B is the mixture of Bd and Bu from Υ(4S) decay. Furthermore, since more than one charm particle (or antiparticle) of the same kind can be produced in B decay, here “inclusive B branching ratio” is used to ...

On the Diierential Equation Dx Dt = X; K(x )] Where K Is a Toeplitz Annihilator

The di erential equation dX dt = [X; k(X)] where k is a Toeplitz annihilator has been suggested as a means to solve the inverse Toeplitz eigenvalue problem. Starting with the diagonal matrix whose entries are the same as the given eigenvalues, the solution ow has been observed numerically to always converge a symmetric Toeplitz matrix as t ! 1. This paper is an attempt to understand the dynamic...

On the equiponderate equation xa+xb+x=xc+xd+1 and a representation of weight quadruplets

(x,t)dx (1)

Abstract It is suggested that the falloff in Q of the P → ∆ magnetic form factor G∗M is related to the recently observed falloff of the elastic electric form factor GEp/GMp. Calculation is carried out in the framework of a two-body GPD mechanism. The P → ∆(1232) form factor G∗M exhibits a more rapid decrease with respect to Q2 than is typically observed in other baryons [1, 2], such as GMp in e...