We demonstrate that the unbounded fan-out gate is very powerful. Constant-depth polynomial-size quantum circuits with bounded fan-in and unbounded fan-out over a fixed basis (denoted by QNCf ) can approximate with polynomially small error the following gates: parity, mod[q], And, Or, majority, threshold[t], exact[q], and counting. Classically, we need logarithmic depth even if we can use unboun...

A k-fan in the plane is a point x ∈R2 and k halflines starting from x. There are k angular sectors σ1, . . . , σk between consecutive halflines. The k-fan is convex if every sector is convex. A (nice) probability measure μ is equipartitioned by the k-fan if μ(σi) = 1/k for every sector. One of our results: Given a nice probability measure μ and a continuous function f defined on sectors, there ...

This paper addresses Object-Oriented (OO) system complexity at the application, object, method, and variable levels. At each level measures are proposed to account for the cohesion and coupling aspects of the system. OO system complexity at each level is presented as a function of the measurable characteristics such as fan-in, fan-out, number of I/O variables, fan-up, fan-down, and polymorphism...

This article uses longevity fan charts to represent the uncertainty in projections of future life expectancy. These fan charts are based on a mortality model calibrated on mortality data for English and Welsh males. The fan charts indicate strong upward sloping trends in future life expectancy. Their widths indicate the extent of uncertainty in these projections, and this uncertainty increases ...

As this research is aimed at solving the problem of fan creations in China, it is necessary to first have a deeper understanding of fans and their behavior in the digital era, the opportunities and challenges thereof. For that purpose, the historical and functional aspects of the fan movement and the interconnections between them, and the major changes to the legal system brought by the Interne...

In order to improve outcomes after breast cancer treatment, it is essential to understand the mechanisms of action of potential therapeutic agents. The effect of fangchinoline (FAN) on migration and apoptosis of human breast cancer MDA-MB-231 cells and its underlying mechanisms were investigated. MDA-MB-231 cells were treated with different concentrations of FAN, growth inhibition rates were me...

Supersonic commercial aircraft noise predictions have frequently considered only exhaust noise from the jet engines. Meeting the stringent noise requirements that apply to the subsonic fleet will require reducing jet exhaust noise to the point that fan noise may also require reduction. This report discusses the prediction of fan noise for a supersonic commercial aircraft using existing empirica...

On the basis of small axial fan with five blades, 6 types of small axial flow fans with different chord lengths splitter blades were designed. Numerical simulation of 6 fan models with splitter blades and prototype fan were done by using Fluent. Based on the obtained simulation results, internal flow characteristics and aerodynamic noise were analyzed and compared. It indicates that: splitter b...

This paper discusses some notes on the vibration design for the piezoelectric cooling fan. After reviewing the fundamental formulas of the cantilever Euler beam, it is not easy to find the optimal design of the piezoelectric fan. The experiments also show the complicated results of the vibration behavior and air flow. Keywords—Piezoelectric cooling fan, vibration, cantilever Euler beam, air flow.

Aptamers can be chemically modified to enhance nuclease resistance and increase target affinity. In this study, we performed chemical modification of 2'-deoxyinosine in AS1411, an anti-proliferative G-rich oligodeoxynucleotide aptamer, which binds selectively to the nucleolin protein. Its function was augmented when 2'-deoxyinosine was incorporated at positions 12, 13, 15, and 24 of AS1411, res...