We construct a class of real-valued nonnegative binary functions on a set of jointly distributed random variables, which satisfy the triangle inequality and vanish at identical arguments (pseudo-quasi-metrics). We apply these functions to the problem of selective probabilistic causality encountered in behavioral sciences and in quantum physics. The problem reduces to that of ascertaining the ex...

A numerical algorithm is presented for solving one nonlinear equation in one real variable. Given Fx with brackets A and B, i.e., sign(T^) = -sign^g) * 0, the algorithm finds a zero of F, A < X < B. Alternately, a crossover pair is found, i.e., (X, Y): sign(Fx) = signify) * 0 where there is no floating-point number in the system between X and Y. This feature allows full use of machine precision...

where f = f(x), g = g(x), h = h(x), A = A(u) and B = B(u) are arbitrary smooth functions of their variables, f(x)g(x)A(u) 6=0. Our aim is not to give a physical interpretation of the solution of diffusion equations (that is too huge and cannot be reached in the scope of a short paper), but to list the already known exact solutions of equations from the class under consideration. However, in som...

The production of forward jets of transverse momentum p T (j) Q and large momentum fraction x jet x probes the onset of BFKL dynamics at HERA. A full O(2 s) calculation of the inclusive forward jet cross section is presented and compared to the expected BFKL cross section. The kinematical region populated by these events and the scale dependence of the xed order perturbative QCD cross sections ...

A 1.6MeV X-Band traveling wave linear accelerator is being developed in our Lab. in view of X-band Linac R&D and industrial purposes. One section of accelerator structure has been fabricated successfully. In this paper, the RF coupler computer simulation, the constant powerloss collinear load study and the accelerator section development are described in detail. The manufacture technology and s...

where n≥ 2, t1 < t2 < ··· < tn−1 < tn, λ is a real parameter, and x = x(t) is a desired solution. The arguments are similar to those used in [9, 13]. In the third section we obtain multiplicity results for this problem with λ = 1. In the fourth section existence, nonexistence, and multiplicity results are given for the eigenvalue problem. To understand this so-called dynamic equation (1.1) on a...

mass showing “cellular components with mucoid material consistent with pleomorphic adenoma.” The gland was removed, revealing a 2.9 x 2.4 x 2.0 cm well circumscribed tan-grey opaque mass with a myxoid appearance on cut surface (Figure 1). The frozen section slides demonstrated mixed epithelial and myxoid areas. The extensive myxoid stroma contained characteristic red to pink crystalloid deposit...

where the constant a is non-zero. However, (1.1) can be reduced to the standard evolution equation (3.4) in an appropriate space because the operator I − a∂2 x which acts on ∂tu(x, t) can be inverted. Thus, (1.1) is an example of a regular equation; we study such problems in Section 2. Section 3 is concerned with those regular equations of a special form suggested by (1.1). Another example whic...

A possible SU(15) process at HERA is investigated. The process that we consider is eP → ν̄eμ μ + anything through the exchange of new heavy gauge bosons X and X which are predicted in SU(15). This process produces two easily observable likesign muons in the final state. The cross section of this process is calculated by using HELAS and VEGAS programs, and PDF-library functions. The cross section...