We investigate the Josephson effects in the junction formed by the indirect coupling between DIII-class topological and s-wave superconductors via an embedded quantum dot. Due to the presence of two kinds of superconductors, three dot-superconductor coupling manners are considered, respectively. As a result, the Josephson current is found to oscillate in period 2π. More importantly, the presenc...

In [1] Andrews and Lewis conjecture that the sign of the number of partitions of n with crank congruent to 0 mod 3, minus the number of partitions of n with crank congruent to 1 mod 3 is determined by the congruence class of n mod 3 apart from a finite number of specific exceptions. We prove this by using the “Circle Method” to approximate the value of this difference to great enough accuracy t...

We derive, via fourth order perturbation theory, an expression for the Josephson current through a gated interacting quantum dot. We analyze our expression for two different models of the superconductor-dot-superconductor (SDS) system. When the matrix elements connecting dot and leads are featureless constants, we compute the Josephson coupling Jc as a function of the gate voltage and Coulomb i...

1. Please complete the Face Sheet and sign the consent for treatment/care at the bottom of the page. 2. Read and Sign the Client Rights/Grievance/Confidentiality Policy form. 3. Print your full name, Initial all lines at ‘x’s, Write in your attorney’s name and sign the Authorization to Release form. 4. Complete the Medical History/Self-Questionnaire as best as possible. If you don’t understand ...

This paper describes a hardware oriented algorithm and its conceptual implementation for real-time traffic signs detection system on automotive oriented FPGA. The speed limit sign area on a grayscale video frame is detected through a two-stage simple computation process. Rectangle Pattern Matching roughly detects global luminosity sharing feature between rectangle and circle for Region of Inter...

This paper gives n-dimensional analogues of the Apollonian circle packings in parts I and II. Those papers considered circle packings described in terms of their Descartes configurations, which are sets of four mutually touching circles. They studied packings that had integrality properties in terms of the curvatures and centers of the circles. Here we consider collections of n-dimensional Desc...

We have developed a quantum dot-based microRNA nanosensor for point mutation assays using primer generation-mediated rolling circle amplification. The proposed method exhibits high sensitivity with a detection limit of as low as 50.9 aM and a large dynamic range of 7 orders of magnitude from 0.1 fM to 1 nM. Importantly, this method can be further applied to analyze the point mutation of mir-196...

In this article we consider the problem related to positional synthesis and controllability function method more precisely admissible maximum principle. Unlike common approach principle gives discontinuous solutions problem. Let us canonical system of linear equations $\dot{x}_i=x_{i+1}, i=\overline{1,n-1}, \dot{x}_n=u$ with constraints $|u| \le d$. The for an arbitrary $\dot{x} = A x + b u$ ca...