and Applied Analysis 3 effectively larger than that of the ordinary conemetric spaces. That is, every cone metric space is a cone b-metric space, but the converse need not be true. The following examples show the above remarks. Example 7. Let X = {−1, 0, 1}, E = R, andP = {(x, y) : x ≥ 0, y ≥ 0}. Define d : X × X → P by d(x, y) = d(y, x) for all x, y ∈ X, d(x, x) = θ, x ∈ X, and d(−1, 0) = (3, ...

Employing the light-cone sum rule approach in QCD, we relate the B-meson distribution amplitude to the B → π form factor at zero momentum transfer. In leading order, the sum rule is converted into a simple expression for the inverse moment λB of the distribution amplitude φ+. Using as an input the B → π form factor calculated from the light-cone sum rule in terms of pion distribution amplitudes...

We investigate the complexity of isomorphisms of computable structures on cones in the Turing degrees. We show that, on a cone, every structure has a strong degree of categoricity, and that degree of categoricity is ∆α-complete for some α. To prove this, we extend Montalbán’s η-system framework to deal with limit ordinals in a more general way. We also show that, for any fixed computable struct...

Response properties of rod and cone systems were assessed in a patient with an acquired form of night blindness associated with a metastatic cutaneous malignant melanoma. The night blindness, a sensation of shimmering lights, and selective reductions in the amplitudes of both rod and cone electroretinographic (ERG) b-waves were present before and after chemotherapy, confirming that this disorde...

We calculate the branching ratios of B → K1γ at next-to-leading order (NLO) of αs where K1 is the orbitally excited axial vector meson. The NLO decay amplitude is divided into the vertex correction and the hard spectator interaction part. The one is proportional to the weak form factor of B → K1 transition while the other is a convolution between light-cone distribution amplitudes and hard scat...

Acetylcholine is present in and released from starburst amacrine cells in the inner plexiform layer (IPL), but its role in retinal function except, perhaps, in early development, is unclear. Nicotinic acetylcholine receptors are thought to be present on ganglion, amacrine, and bipolar cell processes in the IPL, and it is known that acetylcholine increases the spontaneous and light-evoked respon...

Rod amplitudes as a function of retinal illuminance were analyzed by determining the parameters of the best fit Naka-Rushton function for 15 normal subjects, 25 patients with rod-cone degeneration, and 10 patients with cone-rod degeneration. Rod b-wave implicit times were analyzed by determining the best linear fit to log retinal illuminance. Retinal illuminances necessary for a criterion b-wav...

We compare orbits in the nilpotent cone of type Bn, that of type Cn, and Kato’s exotic nilpotent cone. We prove that the number of Fq-points in each nilpotent orbit of type Bn or Cn equals that in a corresponding union of orbits, called a type-B or type-C piece, in the exotic nilpotent cone. This is a finer version of Lusztig’s result that corresponding special pieces in types Bn and Cn have th...

The massless fermions of a Weyl semimetal come in two species of opposite chirality, in two cones of the band structure. As a consequence, the current j induced in one Weyl cone by a magnetic field B [the chiral magnetic effect (CME)] is canceled in equilibrium by an opposite current in the other cone. Here, we show that superconductivity offers a way to avoid this cancellation, by means of a f...

We have analyzed the B → π and Bs → K semileptonic form factors and B → V γ(V = K, ρ, ω) processes in the light-cone QCD sum rules. In order to enhance the predictivity and reliability of numerical results the chiral-current correlator is employed and the twist-3 light-cone wavefunction can be effectively eliminated from the sum rules. Presented by T. Huang, email address: [email protected]....