Gallery — Math

Préparation for math oral

PDE-ONE DIMENSIONAL PDE-TWO DIMENSIONAL

The ratios of specific heats, γ = (CP/CV), for three gases (air, argon and carbon dioxide) were calculated by measuring the oscillations of different masses in various apparatus. The experiments followed Rüchardt's and Rinkel's methods; a 100ml glass gas syringe was additionally used to extend the investigation as well as a technique to elimination of friction. The approaches and results were compared; the most accurate method (Rüchardt's method alongside compensation for friction) yielded: Air, γ = 1.358 ± 0.0038 Argon, γ = 1.6597 ± 0.0009 Carbon dioxide, γ = 1.2996 ± 0.0087 These differ from the literature value by 3.0%, 0.6% and 1.5% respectively. The reasons for these apparent discrepancies are discussed.

My M.Sc project

We develop 3 term-based models(Naive tf, log tf, and BM25), unigram language model, and Pointwise Online AdaGrad approach to select top 100 documents of each query. We use MIN((TP+FN),100) as denominator when calculating AP. We also perform some methods in preprocessing and running stage to obtain better MAP, as well less running time of the whole program. 2 rounds of scanning are needed in our system.

In this work, we investigate the STO as a detector with in-plane geometry using field modulation Spin Torque ferromagnetic resonance (FM-STFMR), during which microwave signal is injected into the device and output response is measured in terms of RMS voltage across lock-in amplifier. The microwave signal injected externally to STO, efficiently synchronizes signal at two times the frequency of free oscillation of the nanomagnet (f0). The synchronization efficiently enhances signal sensitivity at 2f0 which opens other potential for development of spintronic devices. The effect of synchronization in STO under applied input RF power follows a consistent decrease in sensitivity with increasing power. Better synchronization at 2f0 is noticed above threshold current and shows good agreement with the results of numerical simulations.

Guerilla Section 2 Worksheet

An indoor positioning system relying on time difference of arrival measurements of ultrasonic pings from fixed transmitters. Code available at https://github.com/YingVictor/ultrasonic-positioning

En esta práctica se utilizarán conocimientos de cinemática para encontrar el valor de la aceleración gravitacional, por medio de dos experimentos diferentes, uno que involucra la caída libre y el otro involucra un péndulo, además, se estimará la confianza y validez de los resultados.