Homepage
Open in app
Sign in
Get started
The Breakthrough
Pour that knowledge
Editorial Choices
Become Author
Follow
Featured
10 Facts That Prove Space is Totally Gross
10 Facts That Prove Space is Totally Gross
Lots of kids want to be astronauts when they grow up, and why wouldn’t they? Space is exciting and cool, full of new discoveries waiting to…
jenn
Sep 8
Intuition behind Maxwell’s Equations
Intuition behind Maxwell’s Equations
In the last couple of centuries, there has been a tremendous development in the field of Physics. From Electrodynamics and Relativity to…
Panos Michelakis
Sep 2
Are You Smart Enough For A Scholarship?
Are You Smart Enough For A Scholarship?
An Algebra Problem from Eton College
Barry - The Lion
Aug 26
Latest
Maths Club: An Alternative
Maths Club: An Alternative
20th September, 2021 was the second maths meeting. One of our teachers gave us a few Eulerian cycles to draw, and we came to the conclusion…
Barry - The Lion
Sep 20
What qualifies a reliable study?
What qualifies a reliable study?
Are the results even reliable?
Joshua Reingold
Sep 18
The Intuition Behind Phasors and Their Applications
The Intuition Behind Phasors and Their Applications
Lies aside, Mathematics is inherently difficult. They require abstract thinking and the ability to manipulate mathematical symbols with…
Panos Michelakis
Sep 18
Maths Club: A Simple Proof
Maths Club: A Simple Proof
13th September, 2021 was the first maths club meeting. We delved into a few warm up questions involving basic algebra, similar triangles…
Barry - The Lion
Sep 14
The Intuition Behind the Schrödinger Equation and the Wavefunction
The Intuition Behind the Schrödinger Equation and the Wavefunction
Quantum Mechanics is everywhere. From the smallest corners of our planet to the sun’s nuclear fusion, this fundamental theory of physics…
Panos Michelakis
Sep 12
Intuition behind Complex Numbers
Intuition behind Complex Numbers
Complex numbers are everywhere. From signal processing and circuit analysis all the way to quantum mechanics and fluid dynamics, the…
Panos Michelakis
Sep 9
C++ vs Java: A Comparative Analysis
C++ vs Java: A Comparative Analysis
Two of the top programming languages currently in the field today are C++ (the child of Bjarne Stroustrup) and Java (inspired by C++ and…
Joshua Reingold
Sep 7
Landauer’s Principle: The Thermodynamics Of Bitcoin Mining
Landauer’s Principle: The Thermodynamics Of Bitcoin Mining
How much energy does bitcoin mining consume? A hell lot.
Daryl Tng
Sep 4
The Physics of Vortex Cannons
The Physics of Vortex Cannons
A Deep-dive into the Principles of Fluid Dynamics
Valkyrie Holmes
Sep 1
Is Data Science For Everyone?
Is Data Science For Everyone?
Among many other subfields in the field of Computer Science, Data Science is considered to be an especially important field (this is…
Joshua Reingold
Aug 31
Topological Sort with Kahn’s Algorithm
Topological Sort with Kahn’s Algorithm
You may have come across the term ‘Topological Sorting or Ordering’ when dealing with problems related to dependency resolutions, task…
Satya Deep Maheshwari
Aug 29
The Most Important Thing Not Taught In School
The Most Important Thing Not Taught In School
Public schooling is able to teach an individual a great deal of valuable lessons. The teachings of Mathematics and English are more or less…
Joshua Reingold
Aug 26
Exploring Amazon AI services
Exploring Amazon AI services
“What Can I do With AWS?”― Amazon Web Services
Monodeep .J.Mukherjee
Aug 26
My Problem with Python
My Problem with Python
Since its release in 1991, Python has become one of the most popular and used programming languages in academia or industry today. Its…
Joshua Reingold
Aug 24
Difference between Covariance and Correlation
Difference between Covariance and Correlation
Covariance VS correlation
Shari Nair
Aug 18
Kadane’s Algorithm — In plain english
Kadane’s Algorithm — In plain english
Let’s understand Kadane’s algorithm which is an elegant way of solving the maximum subarray problem. Before looking at Kadane’s algorithm…
Satya Deep Maheshwari
Aug 16
Lockdown Geometry: Rotation Minimizing Frames
Lockdown Geometry: Rotation Minimizing Frames
A simple C# implementation of the double reflection method to generate rotation minimizing frames along space curves.
Guido Maciocci
Aug 15
Deep dive into Functions — with proofs
Deep dive into Functions — with proofs
Functions are much more than what you may perceive. Have you ever wondered how great mathematicians come up with beautiful and ingenious…
Augusto Gonzalezbonorino
Aug 15
Fundamental of Calculus: Zeno’s Paradox
Fundamental of Calculus: Zeno’s Paradox
Learn how Zeno the Snail reaches the other end of the path
Barry - The Lion
Aug 14
Relationships, but the mathy kind
Relationships, but the mathy kind
Just like humans, mathematical objects have relationships. Less messy and less drama. Rules and boundaries are well defined. Very strong…
Augusto Gonzalezbonorino
Aug 13
The Basis Of The Many Worlds Interpretation Of Quantum Mechanics
The Basis Of The Many Worlds Interpretation Of Quantum Mechanics
Parallel worlds, branching timelines, alternate realities
Daryl Tng
Aug 13
Random Variables and its Types
Random Variables and its Types
What is a random variable?
Shari Nair
Aug 9
The Science Of Repulsors: Photon Momentum in Special Relativity
The Science Of Repulsors: Photon Momentum in Special Relativity
The momentum of light
Daryl Tng
Aug 9
Central Limit Theorem
Central Limit Theorem
Central limit theorem says that if you have a population with mean µ and standard deviation σ, and you are taking n number of random…
Shari Nair
Aug 9
A Basic Proof of Vieta’s Formula For Quadratics
A Basic Proof of Vieta’s Formula For Quadratics
Definition
Barry - The Lion
Aug 8
About The Breakthrough
Latest Stories
Archive
About Medium
Terms
Privacy