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Exploring Collatz-Like Functions: The Power of 3n – 1

The mathematician, carried along on his flood of symbols, dealing apparently with purely formal truths, may still reach results of endless importance for our description of the physical universe. Karl Pearson Be careful! Do not attempt to solve this math problem – it’s very tempting, but it leads to never-ending cycles. Here’s how it works: Start with a positive integer. If it’s even, divide it…

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The Number 786

Without mathematics, there’s nothing you can do. Everything around you is mathematics. Everything around you is numbers. Shakuntala Devi Welcome to the blog Math1089 – Mathematics for All. There are many numbers known to us that are significant from both a mathematical and cultural perspective. One such number is 786. In this post, let’s explore the mathematical beauty of the number 786.…

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40 Captivating Facts that will make Mathematics Amusing!

Fact 1 The root of the term mathematics is in the Greek word Mathema (μάθημα), which was used quite generally in early writings to indicate any subject of instruction or study. Fact 2 A baker’s dozen is a group of 13. Fact 3 Johann Rahn introduced the division symbol, known as the obelus, in 1659. This symbol took the form of a horizontal line with a dot above and below it (÷) and was…

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Several Proofs of the Angle Sum Property: the sum of the angles of a Triangle is 180°

The birth of a True Equilateral Triangle from Isosceles parents is the subject of rejoicing in our country from many furlongs around.Edwin Abbott Welcome to the blog Math1089 – Mathematics for All. There exist several types of triangles, each characterized by three angles. While the specific angles may vary, there is a consistent relationship among them. This is encapsulated in the Angle Sum…

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Exploring Mathematical Beauties of the Number 108

In mathematical philosophy, formalism is the position that regards mathematics as the study of formal deductive systems. Mathematical truth is simply provability in the system, and there is and can be no ultimate meaning to mathematics other than the operation of naked symbols according to fixed rules.Philip J. Davis & Reuben Hersh Welcome to the blog Math1089 – Mathematics for All. Numbers are…

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Mathematical Beauties of the Happy New Year 2024

Mathematics is on the artistic side a creation of new rhythms, orders, designs, harmonies, and on theknowledge side, is a systematic study of various rhythms, orders, designs and harmonies.William L. Schaaf Welcome to the blog Math1089 – Mathematics for All. 2023 is about to pass, and 2024 is coming. This is the moment to leave the old and welcome the new. Let’s hope that 2024 will add the…

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Unveiling the World of Magic Bi-Deci Cards

The mathematician does not study pure mathematics because it is useful; he studies it because he delights in it and he delights in it because it is beautiful. Henri Poincare A binary number is a number expressed in the base-2 numeral system, using only two symbols: 0 (zero) and 1 (one). The base-2 numeral system is a positional notation with a radix of 2, and each digit is referred to as a…

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Mathematical Beauties of the Number 142587

There are some mysteries that the human mind will never penetrate. To convince ourselves we have only to cast a glance at tables of primes and we should perceive that there reigns neither order nor rule.Leonhard Euler Welcome to the blog Math1089 – Mathematics for All. I’m glad you came by. I wanted to let you know I appreciate your spending time here on the blog very much. I do appreciate your…

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Calculate Your Age in Seconds - A Mathematical Trick

Algebra serves as a remarkable tool for determining the unknown age of an individual through a series of mathematical operations. This intriguing process unfolds like magic, enabling anyone to deduce their age without disclosing the information to others. By engaging in specific algebraic calculations, participants in this game can arrive at a final result. With this conclusive value in hand, I,…

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The Power of Algebra in Finding the Missing Digit – Part 2

One cannot escape the feeling that these mathematical formulas have an independent existence and anintelligence of their own, that they are wiser than we are, wiser even than their discoverers, that we get moreout of them than was originally put into them.Heinrich Hertz Algebra, often perceived as a daunting challenge, possesses incredible potential to solve complex real-world problems. In this…

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The Power of Algebra in Finding the Missing Digit – Part 1

In mathematics he was greater than Tycho Brahe or Erra Pater.For he, by geometric scale, could take the size of pots of ale.Resolve, by sines and tangents straight, if bread or butter wanted weight;And wisely tell what hour of the day the clock does strike, by Algebra.Samuel Butler Algebra is a branch of mathematics that deals with symbols and the rules for manipulating these symbols to solve…

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Clock Arithmetic: Understanding Modular Arithmetic with Timepieces

In the presence of so many beautiful creations of his thought the mathematician lives long and lives young: he rejoices in the grandeur of the height to which his controlled imagination attains.Robert D. Carmichael A clock is a device used to measure and indicate time. Normally, it displays the time in hours, minutes, and often seconds during a 12- or 24-hour period. In this blog post, we will…

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Tell Me Your Shoe Size, and I will Estimate Your Age!

I had better say something here about this question of age, since it is particularly important for mathematicians. . . . To take a simple illustration at a comparatively humble level, the average age of election to the Royal Society is lowest in mathematics. We can naturally find much more striking illustrations. We may consider, for example, the career of a man who was certainly one of the…

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40 Quirky and Fascinating Facts about Mathematics

Mathematicians have tried in vain to this day to discover some order in the sequence of prime numbers, and we have reason to believe that it is a mystery into which the human mind will never penetrate. Leonhard Euler Glad you came by. I wanted to let you know I appreciate your spending time here at the blog very much. I do appreciate your taking time out of your busy schedule to check…

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Exploring Mathematical Wonders of the Number 666

Mathematics is the science of the functional laws and transformations which enable us to convert figured extension and rated motion into number.G. H. Howison Numbers are integral to mathematical discussions and play a major role in our lives, allowing us to quantify and create order. However, numbers can also be appreciated for their own sake, as they may possess unusual properties, exhibit…

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A Mathematical Study of How Fast Rumours Spread

Much of the best mathematical inspiration comes from experience. It is hardly possible to believe in the existence of an absolute immutable concept of mathematical rigor dissociated form all human experience.John von Neumann Greetings to all visitors of Math1089 – Mathematics for All. I’m thrilled you’re here. I wanted to express my gratitude for your valuable time spent on Math1089. Your visit…