Gallery — Essay

A non-rigorous proof of the Lorentz factor and transformation in Special relativity using inertial frames of reference.

The future of alternative energy storage for vehicles is bright because the use of hydrogen in the economy provides various solutions to environmental situations. Hydrogen is as flexible as electricity in that it can be produced in both renewable and non-renewable sources of energy. However, the literature written focuses on the conditions that are needed to be accounted for when it comes to switching to hydrogen as an alternative energy storage using statistical analysis. By taking an economic and environmental investigation, hydrogen has the best air pollution emissions in comparison to conventional, hybrid and electric vehicles. It is also found that hydrogen fuel cell vehicles are simpler in design which accounts for its weight that is much lighter than most vehicles. Ergo, hydrogen is the preferred fuel for fuel cell vehicles because of efficiency that can increase the potential for a sustainable climate.

A simple report template I like to use for my PhD. Simply add your details, university logo and bibliography to start writing.

A simple article template based on revtex4-1

I made this template based off my successful Goldwater Scholarship research essay in 2019. If nothing about the formatting has changed since then, it should be good to go.

A note on gradient-based optimization.

Short biography of mathematician Emmy Noether

In this paper, we talk about Euler's famous solution to the Basel problem and his advantage over other mathematicians of the time.

A proof of the value for Riemann's zeta function of two using integration of a summation, and product and series expansions of the sine function.