ν = q · P M = E − E′ is the lepton’s energy loss in the nucleon rest frame (in earlier literature sometimes ν = q · P ). Here, E and E′ are the initial and final lepton energies in the nucleon rest frame. Q2 = −q2 = 2(EE′−−→k · −→k ′)−m2 −m2 ′ where m (m ′) is the initial (final) lepton mass. If EE′ sin2(θ/2) m2 , m2 ′ , then ≈ 4EE′ sin2(θ/2), where θ is the lepton’s scattering angle with respe...

We discuss the cosmological inflation in context of $f(Q)$ non-metric gravity, where $Q$ is scalar. After introducing conformal transformations for we first focus on potential-slow-roll by studying corresponding potentials different forms function Einstein frame. Secondly, investigate Hubble-slow-roll three classes inflationary considered specific form $f(Q)\propto Q^{2}$, Jordan compare result...

We study the q–deformed fuzzy sphere, which is related to D-branes on SU(2) WZW models, for both real q and q a root of unity. We construct for both cases a differential calculus which is compatible with the star structure, study the integral, and find a canonical frame of one–forms. We then consider actions for scalar field theory, as well as for Yang–Mills and Chern–Simons–type gauge theories...

Deep inelastic electron-proton scattering is analyzed in the target rest frame using a theoretical approach suitable to describe many-body systems of bound constituents subject to interactions. At large three-momentum transfer |q|, this approach predicts the onset of scaling in the variable ỹ = ν-|q|, where ν denotes the energy transfer. The present analysis shows that the data, plotted at cons...

where detξ denotes the determinant of ξ, and (C4) W (PξQ) = W (ξ) for all ξ ∈ M and all P,Q ∈ SO(3) for N = 3, with SO(3) := {Q ∈ M : QQ = QQ = I3 and detQ = 1}, where I3 denotes the identity matrix in M 3×3 and Q is the transposed matrix of Q. (In fact, (C4) is an additional condition which is not related to (2). However, it means that W is frame-indifferent, i.e., W (Pξ) = W (ξ) for all ξ ∈ M...

The subset X0 = [sequence: see text] of 20 trinucleotides has a preferential occurrence in frame 0 (a reading frame established by the ATG start trinucleotide) of protein (coding) genes of both prokaryotes and eukaryotes. This subset X0++ has the rarity property (6 x 10(-8)) to be a complementary maximal circular code with two permutated maximal circular codes X1 and X2 in frames 1 and 2 respec...

this paper is a continuation of [uniformities and covering properties for partial frames (i)], in which we make use of the notion of a partial frame, which is a meet-semilattice in which certain designated subsets are required to have joins, and finite meets distribute over these. after presenting there our axiomatization of partial frames, which we call $sels$-frames, we added structure, in th...

where detξ denotes the determinant of ξ, and (C4) W (PξQ) = W (ξ) for all ξ ∈ M and all P,Q ∈ SO(3) for N = 3, with SO(3) := {Q ∈ M : QQ = QQ = I3 and detQ = 1}, where I3 denotes the identity matrix in M 3×3 and Q is the transposed matrix of Q. (In fact, (C4) is an additional condition which is not related to (2). However, it means that W is frame-indifferent, i.e., W (Pξ) = W (ξ) for all ξ ∈ M...

where detξ denotes the determinant of ξ, and (C4) W (PξQ) = W (ξ) for all ξ ∈ M and all P,Q ∈ SO(3) for N = 3, with SO(3) := {Q ∈ M : QQ = QQ = I3 and detQ = 1}, where I3 denotes the identity matrix in M 3×3 and Q is the transposed matrix of Q. (In fact, (C4) is an additional condition which is not related to (2). However, it means that W is frame-indifferent, i.e., W (Pξ) = W (ξ) for all ξ ∈ M...

In the framework of pertubative QCD it is argued that in the elastic edscattering at Q ∼ few (GeV/c) the light-cone-frame helicity-flip amplitudes could not be omitted. The obtained B A ratio of Rosenbluth structure functions is shown to be in a good agreement with experimental data. The high Q behavior of T20 is discussed. In a recent paper, Brodsky and Hiller [1] have made a general analysis ...