Top Mathematics discussions
NishMath
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A-Maths@Maths on Medium - 60d
A series of Medium articles offer accessible explanations of diverse mathematical concepts and their real-world applications. Topics covered include solving various types of equations, from basic algebraic problems to more advanced exponential equations relevant to data science. One article provides a step-by-step guide to understanding and solving equations, emphasizing the importance of this skill across numerous fields like finance and programming. Another article tackles the frequency illusion, also known as the Baader-Meinhof phenomenon, explaining the cognitive bias behind why we notice things more frequently after becoming newly aware of them.
Furthermore, the collection explores the significant relationship between mathematics and coding, illustrating how mathematical principles underpin fundamental concepts in computer science such as algorithms, data structures, and computational complexity. The articles also include practical applications, like using exponential equations in data science and demonstrating the use of linear regression in predictive analytics. A selection of math puzzles with answers is also provided, offering engaging challenges for readers to test and hone their problem-solving skills.
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Nigel Chaffey@Plant Cuttings - 45d
Recent research highlights the mathematical principles underlying natural phenomena, including the spiral patterns observed in plant growth. A new book, "Do plants know math?", delves into the fascinating world of phyllotaxis, which is the arrangement of leaves on a plant stem. The book explores the connection between the positioning of leaves, scales on cones, and the patterning of flower heads with mathematical concepts like the Fibonacci sequence and divergence angles. These concepts are explained alongside other essential phyllotaxis terminology within the book, showcasing the technical nature of the subject.
In other mathematical developments, mathematicians are using quaternions to analyze spherical trigonometry. This involves an extension of complex numbers which are non-commutative. Quaternions have properties like associative multiplication and the existence of multiplicative inverses. The exploration of these mathematical constructs provide insights into rotations and relationships in space, adding another dimension to mathematical analysis. Additionally, basic mathematical concepts, such as place value and face value, are also being explored. Place value refers to the value of a digit based on its position in a number, while face value is simply the digit itself.
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