Disclaimer: These notes have not been subjected to the usual scrutiny reserved for formal publications. In this lecture we describe applications of low rank approximation in optimization. Firstly, let us give a short overview of the last lecture. We defined the operator norm of a matrix ‖.‖2 and the Frobenius norm ‖.‖F and we showed that the best rank k approximation of a given matrix M is the ...

We study the mechanical unfolding pathways of the FnIII(10) domain of fibronectin by means of an Ising-like model, using both constant force and constant velocity protocols. At high forces and high velocities our results are consistent with experiments and previous computational studies. Moreover, the simplicity of the model allows us to probe the biologically relevant low force regime, where w...

PRODUCT DESCRIPTION The AD561 is an integrated circuit 10-bit digital-to-analog converter combined with a high stability voltage reference fabricated on a single monolithic chip. Using ten precision highspeed current-steering switches, a control amplifier, voltage reference, and laser-trimmed thin-film SiCr resistor network, the device produces a fast, accurate analog output current. Laser trim...

A new Successive-Approximation ADC (Analog-toDigital Converter) was designed which not only consumes little power, but also requires a small chip area. To achieve those goals, both comparator and internal DAC (Digital-to-Analog Converter) have been improved. The ADC was designed in a 1.2 μm CMOS double-poly double-metal n-well process. It performs 10-bit conversion with 67 dB SFDR. Power consum...

Vulvovaginal atrophy [VVA] is defined as inflammation of the vaginal epithelium due to atrophy secondary to decreased levels of circulating estrogen. There is currently only one approved method for the treatment of VVA, and that is the administration of exogenous estrogens. Overall, the ideal VVA treatment must have benefits, minimize risks, and enhance compliance in the patient while optimizin...

Laparoscopy is a procedure that ultimately reduces hospital stay time and speeds up post-operative recovery. It mainly performed in high-income countries but its implementation many low- middle-income (LMICs) increasing. However, no aggregate data exist regarding the outcomes of this resource-limited settings. We retrospectively reviewed all cases laparoscopy recorded from January 2007 to March...