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Mike DeHaan’s article in Decoded Science

Beyond the Bounds of Natural Numbers at Decoded Science

Can we explore beyond the borders of natural numbers?

Exploding the Boundaries of Natural Numbers

This week “A Guide from Natural to Imaginary and Infinite Numbers” built on last week’s Decoded Science article, “A Quick Reference Guide to the Set of Natural Numbers“.

"My Imaginary Friend" by stallio with border by Mike DeHaan
“My Imaginary Friend” by stallio with border by Mike DeHaan

The article explains how different arithmetic operations, even one so simple as subtraction, lead to the necessity to expand numbers from Natural (the counting numbers from zero and up), to Integers (to include negative numbers). The division operation leads to rational numbers (fractions). The desire for square roots leads to our imaginary friend in the above picture.

Well, I won’t spoil your surprise here; read the article!
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As always, I also promoted this article in my Blog of Writing, and added a writing tip: see “Creating New Sets of Numbers at Decoded Science“.

Professional Writing by DeHaan Services

DeHaan Services writes web site or advertising copy for clients. Our skills are demonstrated in articles in Decoded Science, and other web sites. That’s why we highlight articles on this blog page.

To only see our Toronto events or fitness, please click on the appropriate category in the “Categories” section at the bottom of the left-hand margin.

Thank you for reading about the boundaries of natural numbers.

Introducing Natural Numbers at Decoded Science

I keep wishing that mathematicians had also invented “unnatural numbers” for contrast with “natural” numbers.

Starting a Series on Numbers, Naturally, at Decoded Science

My latest Decoded Science article, “A Quick Reference Guide to the Set of Natural Numbers“, introduces the “counting numbers” with some help from Peano’s Axioms.

"Counting Change" by °Florian
“Counting Change” by °Florian

My goal is to start a short series of “Quick Reference Guides” to various topics in mathematics at that site. These should be helpful for educators, parents trying to help their teens with math homework, and anyone trying to keep concepts straight.

By the way, the above image was dropped by the editor and might not return; but I like it a lot.
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As always, the promotional article in my Blog of Writing, “With Reference to Natural Numbers at Decoded Science“, includes a writing tip for online authors.

Professional Writing by DeHaan Services

DeHaan Services writes web site or advertising copy for clients. Our skills are demonstrated in articles in Decoded Science, and other web sites. That’s why we highlight articles on this blog page.

To only see our Toronto events or fitness, please click on the appropriate category in the “Categories” section at the bottom of the left-hand margin.

Thank you for reading about natural numbers.

Quick Math Problems for a Speeding Neutrino

The OPERA experiment at CERN reported speeding neutrinos. What is the math behind this claim?

Do Neutrinos Break the Cosmic Speed Limit?

Stop the presses, because you just can’t stop a neutrino from breaking the cosmic speed limit.

At least, that is the news behind my latest Decoded Science article, “Lightning Fast Math for Neutrinos versus the Speed of Light“.

"Albert Michelson" uploaded by Bunzil via Wikimedia Commons and released by AstroLab
“Albert Michelson” uploaded by Bunzil via Wikimedia Commons and released by AstroLab

My article takes a quick look at the news, the simplest math implications, enough background that you can understand what the fuss is about, and finally presents three suggestions for scientists to follow up on this remarkable observation.
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As always, I also promote my article in my Blog of Writing. “Preview of the Math of Speeding Neutrinos” includes two writing tips.

Professional Writing by DeHaan Services

DeHaan Services writes web site content or advertising copy for clients. Our skills are demonstrated in articles in Decoded Science, and other online sites. That’s why we highlight articles on this blog page.

To only see our Toronto events or fitness, please click on the appropriate category in the “Categories” section at the bottom of the left-hand margin.

Thank you for reading about the neutrinos speeding from CERN to OPERA.