Category Archives: STEM

5-Day Math Course

Five-Day Math Class This post is preliminary thoughts in response to a Google Thread [Math Future]. Audience: “An adult switching to a new career and drawing on math remembered from high school to get up to speed. If they don’t … Continue reading
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RepliCount Programmed in Scheme

This post describes the implementation of the HyperOpreation Function, aka Ackermann’s Function, which I call RepliCount, in the Scheme Programming Language. RepliCount is a recursive function that performs arithmetic operations on natural numbers by reducing the operation by stages to … Continue reading
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RepliCount Function Example: 2^3

In a previous post I discussed the HyperOperation function H(m,n,k) which is a Recursive Functions reducing arithmetic operations on natural numbers to Peano Successor. Here I give an example of a complete computation, evaluating 2^3. Operator Notation: ^ k=3 Exponentiation … Continue reading
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RepliCount: A Recursive Function for Natural Number Arithmetic

ABSTRACT: We demonstrate a single recursive function, a variation of Ackermann’s Function, that represents the operations of natural number arithmetic–addition, multiplication, power, and even higher-order operations such as “tower”–in terms of only the elementary concepts of the Peano Postulates, including … Continue reading
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What is Multiplication?

Is multiplication a “closed” mathematical operation? If not, what is it? QUIZ: Question 1. What is 3 apples plus 2 apples? Answer 1: 5 apples? Question 2: What is 3 apples plus 2 oranges? Answer 2: You can’t add apples … Continue reading
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