– We report here the atomic masses of H and He determined by using the Penning trap mass spectrometer Smiletrap. The measurements are based on cyclotron frequency determinations of H and He using H+2 ions as mass reference. The mass values for H and He are 3.016 049 278 7(25) u and 3.016 029 321 7(26) u, respectively. From these masses a new Q-value of the tritium β-decay was derived resulting ...

In this paper, we investigate the existence of nontrivial solutions to the nonlinear q-fractional boundary value problem (D q y)(x) = −f(x, y(x)), 0 < x < 1, y(0) = 0 = y(1), by applying a fixed point theorem in cones.

We propose a method of calculating the corneal asphericity (Q) and analyze the characteristics of the anterior corneal shape using the tangential radius. Fifty-eight right eyes of 58 subjects were evaluated using the Orbscan II corneal topographer. The Q-values of the flat principal semi-meridians calculated by the sagittal radius were compared to those by the tangential radius. Variation in th...

Shaping has proven to be a powerful but precarious means of improving reinforcement learning performance. Ng, Harada, and Russell (1999) proposed the potential-based shaping algorithm for adding shaping rewards in a way that guarantees the learner will learn optimal behavior. In this note, we prove certain similarities between this shaping algorithm and the initialization step required for seve...

in this paper, we prove the existence of the solution for boundary value prob-lem(bvp) of fractional dierential equations of order q 2 (2; 3]. the kras-noselskii&apos;s xed point theorem is applied to establish the results. in addition,we give an detailed example to demonstrate the main result.

In this paper, we deal with value distribution for q-shift polynomials of transcendental meromorphic functions with zero order and obtain some results which improve the previous theorems given by Liu and Qi [18]. In addition, we investigate value sharing for q-shift polynomials of transcendental entire functions with zero order and obtain some results which extend the recent theorem given by Li...

In nonextensive statistical mechanics, two kinds of definitions have been considered for expectation value of a physical quantity: one is the ordinary definition and the other is the normalized q-expectation value employing the escort distribution. Since both of them lead to the maximum-Tsallis-entropy distributions of a similar type, it is of crucial importance to determine which the correct p...

We derived the equation of density operator for generalized entropy and expectation value with quantum analysis when conserved quantities exist. The is simplified conventional employed. also commutation relations, $[\hat{\rho}, \hat{H}]$ \hat{Q}^{[a]}]$, are functions $\hat{\rho}$, where $\hat{H}$ Hamiltonian, $\hat{Q}^{[a]}$ quantity. operators von Neumann entropy, Tsallis R\'enyi in case valu...

Let CA/Q be the curve y = x + A, and let L(s, JA) denote the L-series of its Jacobian. Under the assumption that the sign in the functional equation for L(s, JA) is +1, we evaluate the critical value L(1, JA) in terms of the value of a theta series for Q( √ 5) depending on A at a CM point coming from Q(ζ5).

A simple method for measuring the Q (quality factor) value of an NMR sample coil based on an impedance matching principle is described. This method has the advantage of utilizing a signal generator and reflection coefficient bridge rather than an expensive high-frequency Q meter and offers an alternative means of measuring the Q value of an NMR sample coil or any other radio frequency coil.