Mathematics
Bessel's Correction
When attempting to estimate the population variance using samples, n-1 is used instead of n. Why is this the case? This article looks into the proof of Bessel's Correction and demonstrates its effects using data.
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Physics
Beyond Earth: the exciting future of space exploration
Space: the final frontier. If conquered, it offers unimaginable wealth, sci-fi tech, and the key to humanities survival in the next millennia; read more to understand the challenges and possible solutions to beating humanities final foe.
Problem of the Week
Problem Of the Week: 4th March 2024
There are 25 red balls and 25 blue balls in a bag. Alice and Bob take turns drawing balls from the bag without replacement, with Alice going first. Interestingly, they notice that whenever a red ball was drawn, the next ball drawn (by any person) was never red. Suppose Bob drew m red balls. Given th
Biology
Prime Numbers in Nature: Cyclical Cicadas
To many, prime numbers are a useless concept studied in maths and soon forgotten about, having no impact on the rest of our lives. While they do have some applications in computing and encryption, primes never seem to crop up in day-to-day life, remaining as “special numbers” that aren’t all that sp
Problem of the Week
Problem Of the Week: 12th February 2024
Hundreds of years ago, scientists believed that air was a pure substance which, alongside earth, wind and fire, made up all matter on Earth. Nowadays, we know that air is a mixture of gases. 1 mole of air contains: 0.78 moles of nitrogen 0.21 moles of oxygen 0.01 moles of argon
Physics
Black Holes
Black holes. Existences that defy the imaginations of homo sapiens sapiens. Despite being widely known as catastrophic existences that allow not even light to escape their grasp, most people know very little about these enigmatic celestial bodies.
Engineering
A Review on Efficient Passenger Aircraft Technology
The world’s first commercial jet aircraft, the de Havilland Comet, took its first flight in 1949, marking the beginning of the jet age for air travel. Today, over 4.5 billion passengers annually enjoy fast, convenient and relatively affordable travel in the 25000 aircraft flying in the global commer
Engineering
Nanotechnology: The Tiny Wonders Transforming Engineering
Nanotechnology involves the precise manipulation of matter at the nanoscale, enabling the creation of new materials that push the boundaries of engineering. This capability opens avenues for groundbreaking advancements in material science, offering unprecedented possibilities for engineering applica
Computer Science
Signal Processing In The Analog vs Digital Domain
Throughout recent years, the music industry has shifted how people listen to and create music. The move has been away from analog - using circuitry alongside a variety of other physical techniques - to using a fully digital approach, from recording to storage. The vinyl record and cassette tape have
Engineering
Failure in Engineering
In Oliver Wendell Holmes’s poem “The Deacon’s Masterpiece”, a New England deacon aspires to construct an indestructible “one-hoss shay” (i.e., one-horse chaise) with all its components logically designed and of equal strength. The poem’s central irony lies in the fact that despite the deacon’s metic
Engineering
Tidal Turbines
Global energy generation continues to be heavily reliant on fossil fuels - a fact which, for the sake of humanity, cannot afford to be true for much longer. When burnt, fossil fuels emit the greenhouse gas...
Problem of the Week
Problem Of the Week: 29th January 2024
One of the CCF's guns is designed such that it can launch a projectile of mass 10 kg at a speed of 200 m/s. The gun is placed close to a straight, horizontal railway line and aligned such that the projectile will land further down the line. A small rail car of mass 200 kg travelling at a speed of 10