The Ink-Stained Hand https://inkstainedhand.com Welcome to the Ink-Stained Hand, the blog of M. M. T. Tsiu. © Matsepe Tsiu Mon, 06 Nov 2023 04:26:53 +0000 en-ZA hourly 1 https://wordpress.org/?v=6.5.2 https://i0.wp.com/inkstainedhand.com/wp-content/uploads/2021/08/cropped-Color-logo-with-background-1.png?fit=32%2C32&ssl=1 The Ink-Stained Hand https://inkstainedhand.com 32 32 195720330 The Number of Factors an Integer Has https://inkstainedhand.com/the-number-of-factors-an-integer-has/ https://inkstainedhand.com/the-number-of-factors-an-integer-has/#respond Sat, 15 Jul 2023 08:57:36 +0000 https://inkstainedhand.com/?p=2353 What you will read below is a brief exercise I completed in 2017 to resolve a point of curiosity in my mind. As I recall, at the time I had just begun working on a side project: building a geometric model of stock price progressions to use as a base for discrete-probability option pricing. While...

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]]> https://inkstainedhand.com/the-number-of-factors-an-integer-has/feed/ 0 2353 The Number of Q-Length Factorisations A Natural Number Has https://inkstainedhand.com/q-length-factorisations-of-natural-numbers/ https://inkstainedhand.com/q-length-factorisations-of-natural-numbers/#respond Wed, 02 Nov 2022 07:10:51 +0000 https://inkstainedhand.com/?p=1139 In this blog post, I present the outcome of a larger exercise I completed in 2017. This exercise was meant to answer a question that had arisen in an even bigger personal project. Though I ultimately changed direction in the bigger project, I still have an answer to the question that brought me here: in how many ways can I write a number as the product of a given number of its divisors?

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]]> https://inkstainedhand.com/q-length-factorisations-of-natural-numbers/feed/ 0 1139 The Number of Digits a Product of Two Numbers Will Have https://inkstainedhand.com/number-of-digits-of-product-of-two-numbers/ https://inkstainedhand.com/number-of-digits-of-product-of-two-numbers/#respond Sun, 25 Sep 2022 06:21:19 +0000 https://inkstainedhand.com/?p=1141 In this very brief blog post, I present the outcome of an exercise I undertook earlier, to find the rule that determines how many digits the product of two numbers will have, in any number system.

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]]> https://inkstainedhand.com/number-of-digits-of-product-of-two-numbers/feed/ 0 1967 How to Tell If a Fraction’s Decimal Expansion Terminates, in Any Number System https://inkstainedhand.com/are-the-decimals-finite-or-infinite/ https://inkstainedhand.com/are-the-decimals-finite-or-infinite/#respond Wed, 14 Sep 2022 18:15:52 +0000 https://inkstainedhand.com/?p=1116 In this brief blog post, I provide the conditions under which the decimal expansion of a fraction - in any number system - will and will not terminate.

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