Tze Heng

本頁 10 篇

• Removing Half, Just to Reduce by 1%

  • #maths

  The Initial Problem

  2026/8/3 08:00https://blog.ttheng.com/blog/removing-half-just-to-reduce-by-one-percent

  

• How often do coprime numbers appear?

  • #maths

  Coprime numbers, also known as relatively prime numbers, are integers that do not share any prime factors, or equivalently having a greatest common divisor (GCD) of 1. Although the definition of coprime integers are originally for a pair_ of integers, it can be extended to any number of integers due to its associativity.

  2024/10/28 08:00https://blog.ttheng.com/blog/coprime-probability

  

• Coprimality in Lowest Common Multiple

  • #maths

  Suppose that we select arbitrarily a number of, say, $ n $ integers, denoted by $ a1, \ldots, an $. If we obtain their lowest common multiple (LCM), and label it as $ M all the numbers $ ki $ are coprime, i.e. $ \gcd(k1,\ldots,k_n)=1 $.

  2024/10/28 08:00https://blog.ttheng.com/blog/lcm-coprime

  

• How often do invertible matrices appear?

  • #maths

  Introduction

  2024/10/3 08:00https://blog.ttheng.com/blog/invertible-matrix-probability

  

• Continuity of a Vector Norm Mapping

  • #maths

  The Context

  2024/9/16 08:00https://blog.ttheng.com/blog/vector-norm-continuity

  

• Generalising the Geometric Series

  • #maths

  This article was submitted to the Summer of Math Exposition (SoME) 2024 and ranked 17 among all 44 valid non-video entries in the contest.

  2024/7/26 08:00https://blog.ttheng.com/blog/generalising-geometric-series

  

• Prime Numbers and Harmonic Series

  • #maths

  The Statement

  2024/5/5 08:00https://blog.ttheng.com/blog/prime-numbers-and-harmonic-series

  

• Attempting Challenge of Wits 2023

  • #Code

  An attempt of the second challenge of Challenge of Wits 2023.

  2024/2/6 08:00https://blog.ttheng.com/blog/challenge-of-wits-2023-submission

  

• Higher-order Functions and Set Theory

  • #maths
  • #Code

  How a concept in set theory is applied in computer science.

  2024/2/6 08:00https://blog.ttheng.com/blog/hof-set-theory

  

• What is the Curve whose Tangent Segment is Bisected by its Own Tangent Point?

  • #maths

  A seemingly innocent maths question that introduces the concept of differential equations.

  2023/8/10 08:00https://blog.ttheng.com/blog/curve-bisect-tangent-point