Matrix factorization is an essential technique in linear algebra, which involves decomposing a given matrix into the product of two or more matrices. This technique has numerous applications across various fields, including data analysis, signal processing, machine learning, and computer graphics. Matrix factorization can be understood as a process of...
I would like to share a list of valuable mathematics books that I found helpful, hoping that someone else may also find them useful. 📚 • “The Princeton Companion to Mathematics” by Timothy Gowers: This book is a comprehensive reference guide to mathematics, covering a wide range of topics from...
Before the invention of the clock, people relied on various methods to measure time. One of the most common tools used in the past was the alarm candle, a special type of candle designed to burn for a set amount of time before extinguishing itself, thus signalling the passage of...
Taylor’s series theorem is a powerful mathematical tool that allows us to represent many different functions as an infinite sum of simpler functions. This theorem has many practical applications in science, engineering, and finance, among other fields. The theorem is named after the British mathematician Brook Taylor, who first discovered...
Plants are often thought of as passive organisms, simply rooted to the ground and waiting to be acted upon by their environment. However, recent research has revealed that plants are far more complex than we previously thought, possessing a range of sensory and perceptive abilities that enable them to sense...
Quantum entanglement is a phenomenon in quantum mechanics where two or more particles become correlated in a way that their properties become dependent on each other, even when they are separated by large distances. This phenomenon has been the subject of intense study in both physics and computer science due...
Linear algebra is a branch of mathematics that deals with linear equations, linear transformations, and vector spaces. It plays an important role in various fields, including physics, engineering, computer science, and economics. At its core, linear algebra studies the properties of linear equations and linear systems of equations, which are...
Six possible galaxies that emerged so early in the history of the universe and are so massive that according to the most recent cosmological theory, they should not be possible have been found by an international team of astrophysicists working together on a new research project. These mysterious objects were...
The enterprise as a whole is responsible for making an increasing number of decisions on a daily basis, the majority of which are made by algorithms housed within AI systems. It is possible for humans to make decisions while unconsciously harboring biases; therefore, we need to take precautions to ensure...
The gas giant Jupiter. How many layers it has, how dense those layers are, and what its core looks like are all mysteries that scientists can only speculate on. A needle travelling at the speed of light would explode like a balloon if it were to hit Jupiter, sending it...
