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Cayley Graph: The Beautiful Trail of Mathematics in Group Theory

Cayley Graph

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by Arthur Cayley in the 18th century, and was later reintroduced by Max Dehn as a group diagram (gruppenbild) in unpublished lecture notes. ... 

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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. ... 

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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. ... 

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Euclid: The Pioneer of Geometry Who Shaped the History of Mathematics

Illustration Photo of Euclid (Photo: ts2.tech)

Euclid, a Greek mathematician who lived around 300 BC, is recognized as the “Father of Geometry” due to his extraordinary contributions to the development of geometry. His most famous work, Elements, is a book that systematically and logically lays out the fundamental principles of geometry. This book has not only served as a guide for mathematicians and scientists in his time but also remains relevant to this day. ... 

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Graphs: Mathematical Bridges to Understanding World Complexity

Illustration of Graph (Photo: mathcyber1997.com

Graphs are one of the fundamental concepts in mathematics and computer science that represent relationships between objects. The structure of a graph consists of vertices (nodes) and edges that connect these vertices. With its ability to model various types of relationships and interactions, graphs have become an invaluable tool in many fields, ranging from mathematics and computer science to biology and social sciences. ... 

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Golden Ratio (φ): The Mathematical Wonder Adorning Art and Nature

Illustration of the Golden Ratio (Photo: knowledge.depositphotos.com)

The Golden Ratio, denoted by the symbol φ (phi), is a ratio that is considered highly aesthetic and has many applications in art, architecture, and nature. The value of φ, approximately 1.618, has existed since ancient times and has attracted the attention of many artists, scientists, and mathematicians throughout history. This concept symbolizes beauty and perfect proportion often found in various contexts. ... 

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Exploring the Wonders of Pi (π): From Ancient Numbers to Modern Calculations

Illustration of the Pi Symbol (Photo: clipart-library.com)

The value of pi (π) is one of the most famous and influential mathematical constants, representing the ratio between the circumference of a circle and its diameter. Pi is an irrational number, meaning it cannot be expressed as a fraction of two integers, and its decimal representation never ends or forms a repeating pattern. In everyday practice, the ratio 22/7 is often used as an approximation for pi, although it is not entirely accurate. ... 

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Utilization of GPT in Official Correspondence: Enhanced Efficiency and Quality

Illustration of ChatGPT (Photo: Special)

With the rapid advancement of artificial intelligence (AI) technology, generative language models such as GPT (Generative Pre-trained Transformer) are increasingly relied upon to support various administrative activities, including official correspondence. This technology can produce high-quality drafts of formal letters and speed up the writing process, providing convenience for professionals to handle correspondence more efficiently. ... 

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Agricultural Insurance: Protection Amid Climate Change and Contributions to Achieving the SDGs

Illustration of Agriculture in Indonesia (Photo: mediatani.co)

Global climate change is increasingly worsening the conditions in the agricultural sector in many countries, including Indonesia. Unpredictable weather patterns—such as floods, droughts, and storms—often lead to crop failure, directly affecting food security. In facing this challenge, agricultural insurance has become a critical solution, especially for smallholder farmers who are most vulnerable to these risks. This innovation plays a significant role in protecting farmers from losses caused by natural factors while also supporting the achievement of several Sustainable Development Goals (SDGs), particularly SDG 1 (No Poverty) and SDG 2 (Zero Hunger). ... 

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Prime Numbers and Cryptography

Prime numbers are integers greater than 1 that can only be divided by 1 and themselves. Examples of prime numbers include 2, 3, 5, 7, 11, and so on. This property makes prime numbers unique and highly significant in mathematics, particularly in cryptography. The use of prime numbers in cryptography is applied in encryption algorithms that are used to safeguard data security. ... 

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