Artificial Intelligence (AI) has become one of the most revolutionary technological fields of the 21st century. Behind AI’s ability to understand data, learn from patterns, and make predictions, lies a solid mathematical foundation. Mathematics is the foundation that allows machines to mimic human thinking, involving various branches such as linear algebra, calculus, probability, and statistics. ...
Category: Article
The Strange Phenomenon of Parity Revealing the Wonders of Mathematics
Mathematics is not just about formulas and numbers but is also full of wonders often hidden in simple patterns. One concept that has captured the attention of the mathematical world is parity—the categorization of numbers into even and odd. Beneath this simple concept lies a strange phenomenon that opens up new insights into the world of numbers and patterns. ...
Building Landslide Risk Maps Through International Collaboration
Landslides are one of the natural disasters with significant impacts on human lives, infrastructure, and the environment. To mitigate the risks and damages caused by these disasters, it is crucial to map areas prone to landslides, a process known as landslide susceptibility mapping. However, the methods used in this mapping often vary, and there has been no standard dataset that allows for the comparison of the effectiveness of these methods. Through international collaboration involving 23 institutions from 12 countries, this research has successfully developed the first benchmark dataset for studies in this field. ...
Enhancing the Diversity of Smart Replies for Conversations in Bahasa Indonesia
In the digital era, messaging applications have become an integral part of daily life. One increasingly popular feature is Smart Reply, which enables users to respond to messages quickly without typing. However, this feature faces challenges when the generated responses tend to be repetitive or overly similar, providing little meaningful variety. In the context of Bahasa Indonesia, this challenge becomes more complex due to differences in grammar and cultural nuances that are not always effectively captured by technologies originally designed for other languages. ...
Empirical Approach for Explicit Estimation and Confidence Interval Construction in the SIR Model
The SIR (Susceptible-Infected-Recovered) model is one of the most fundamental mathematical models in epidemiology, designed to understand the spread of infectious diseases. This model categorizes the population into three main groups—Susceptible, Infected, and Recovered. Despite its simplicity, the model plays a crucial role in predicting the patterns of disease spread, although it often faces challenges regarding the accuracy of its parameters, such as infection and recovery rates. ...
Understanding Injective Functions: What Are They and Why Are They Important?
In mathematics, a function is a rule that connects each element of one set (called the domain) to an element in another set (called the codomain). One type of function that frequently appears in various fields is the injective function, often referred to as a one-to-one function. This function has special properties that distinguish it from other types of functions. In this article, we will discuss it simply and comprehensively. ...
Cayley’s Theorem in Group Theory and Semigroup Theory: Elegant Isomorphism
Cayley’s Theorem is one of the fundamental results in abstract algebra, which shows the deep relationship between the structure of groups and semigroups with other mathematical objects, namely permutation groups and transformation semigroups. ...
Cayley Graph: The Beautiful Trail of Mathematics in Group Theory
The Cayley graph is an important concept in mathematics, particularly in the field of group theory and graph theory. Although it sounds technical, its basic idea is simple and very interesting. This graph provides a visual way to represent the algebraic structure of a group, making it an important tool in various fields such as pure mathematics, computer science, and physics. The Cayley graph was first introduced by Arthur Cayley in the 18th century, and was later reintroduced by Max Dehn as a group diagram (gruppenbild) in unpublished lecture notes. ...
Understanding the Differences Between Islamic Insurance and Conventional Insurance
Illustration of Types of Insurance (Source: sarjanaekonomi.co.id)
Insurance is one of the important financial instruments in modern life, serving to protect individuals and businesses from the risk of financial loss. However, there are two types of insurance that are often compared: Islamic insurance and conventional insurance. Each has its own fundamental principles, operational methods, and underlying values, making them different from one another. ...
Pythagoras: The Genius of Geometry Who Changed the Paradigm of Mathematics
Illustration of Pythagoras (Source: pixels.com)
Pythagoras, a Greek mathematician and philosopher who lived around 570–495 BC, is renowned as a legendary figure who not only carved his name in the history of mathematics but also transformed the way we understand the world through numbers and shapes. The theorem that bears his name has become a fundamental pillar in geometry, providing the foundation for many scientific discoveries and techniques that we know today. ...