# Gallery — Math

Gallery Items tagged Math

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Dot Products and Cosines
A simple derivation of the relationship between dot products and cosines. I wrote this reacquaint myself with LaTeX.
Paul Glezen
Automobile Suspension Design
Vibration control is crucially important in ensuring a smooth ride for vehicle passengers. This study sought to design a suspension system for a car such that its mode of vibration would be predominantly bouncing at lower speeds, and primarily pitching at higher speeds. Our study used analytical and numerical methods to choose appropriate springs and dampers for the front and rear suspension. After an initial miscalculation, we succeeded in arriving at appropriate shocks for the vehicle with the desired modes of vibration at the specified frequencies. We then assessed the maximum bouncing and pitching that the vehicle would experience under a specific set of conditions: travel at 40 km/hr over broken, rough terrain. Our testing showed moderate success in our suspension design. We successfully damped the force being transmitted to both the front and rear quarter car somewhat, while ensuring that the modes of vibration fell into the desired shapes at the desired frequency ranges.
Little Ian
Template for SIAM Online-Only Journals
Template for SIAM Online-Only Journals (JUQ, SIADS, SIAGA, SIFIN, and SIIMS), downloaded from SIAM homepage on March 14, 2018.
SIAM
Cour 1 ere AS
Cour 1 ere AS
khaled
Determining the Ratio of Specific Heats of\\ Gases using Adiabatic Oscillations
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.
Pip Armstrong
Coursework template CO343
Template for LaTeX beginners, designed with students taking the Imperial College London CO343: Operations Research course in mind.
Simon
MODELO LOGIT