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Frank Hecker

Works at Infoblox Federal, Inc.

Lives in Ellicott City, MD 21042, United States

42 followers|22,284 views

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### Frank Hecker

Shared publicly -Here’s another in an intermittent series of posts on articles I found interesting; this one focuses on issues related to wealth, politics, and how they interact in various ways. “Democracy and the ......

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### Frank Hecker

Shared publicly -http://www.dpmms.cam.ac.uk/~wtg10/commutative.html

Elementary school students learn that multiplication is just repeated addition, and they also learn that multiplication is commutative, e.g., that 4 times 3 is the same as 3 times 4. But if you look at an equation like 3 + 3 + 3 + 3 = 4 + 4 + 4 then it’s not necessarily immediately obvious that the left-hand side (4 times 3) is the same as the right-hand side (3 times 4). It’s even less obvious that this would also be true when multiplying any two positive integers (i.e., 1, 2, 3, …) by doing repeated addition. For example, consider multiplying 137 by 229 by adding 137 together 229 times, and then adding 229 together 137 times.Here mathematician Timothy Gowers addresses this question and outlines some proofs, one of them based on the “multiplication as repeated addition” idea. If I ever have time I might simplify this a bit for consumption by the parents of the elementary school students mentioned above; it nicely illustrates the use of induction and the use of the “successor” idea (formalization of “plus one”) to building up the natural numbers.

Elementary school students learn that multiplication is just repeated addition, and they also learn that multiplication is commutative, e.g., that 4 times 3 is the same as 3 times 4. But if you look at an equation like 3 + 3 + 3 + 3 = 4 + 4 + 4 then it’s not necessarily immediately obvious that the left-hand side (4 times 3) is the same as the right-hand side (3 times 4). It’s even less obvious that this would also be true when multiplying any two positive integers (i.e., 1, 2, 3, …) by doing repeated addition. For example, consider multiplying 137 by 229 by adding 137 together 229 times, and then adding 229 together 137 times.Here mathematician Timothy Gowers addresses this question and outlines some proofs, one of them based on the “multiplication as repeated addition” idea. If I ever have time I might simplify this a bit for consumption by the parents of the elementary school students mentioned above; it nicely illustrates the use of induction and the use of the “successor” idea (formalization of “plus one”) to building up the natural numbers.

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### Frank Hecker

Shared publicly -Back in October 2010 pollsters were dueling over their predictions in the Howard County race for county executive, with pollster Patrick Gonzales of Gonzales Research seeing the race between Ken Ul......

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### Frank Hecker

Shared publicly -For those following this blog, note that I've changed the canonical site name from blog.hecker.org to frankhecker.com. Any links and feed URLs referencing the previous domain name will still work f......

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17 people

### Frank Hecker

Shared publicly -Following my review of my 2011 Howard County blogging and related activities it’s time for a look ahead to 2012. I did a similar preview last year and will use it as a guide to what I’...

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### Frank Hecker

Shared publicly -Dear Ken, Thanks for inviting me to your reception last Thursday, an invitation that (after a reminder from Jessie Newburn) I was happy to accept, because I think on balance you've done a good j......

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### Frank Hecker

Shared publicly -In part 19 of this series we saw that in 1996 the voters by referendum adopted a change to the Howard County charter to have a redistricting commission create proposals for council district lines, ......

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### Frank Hecker

Shared publicly -For some time now I've been posting links I find interesting at hecker.tumblr.com. This is mainly for personal reference, but I thought it might be useful to collect those every week or two in case......

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People

In his circles

17 people

Work

Occupation

Provide technical support for information technology sales

Employment

- Infoblox Federal, Inc.System Engineer, 2012 - present
- IronKey, Inc.Sales Engineer, 2009 - 2012

Basic Information

Gender

Male

Story

Tagline

Howard County, Maryland resident and blogger, sales engineer for network automation, information security, and other enterprise software and hardware products

Introduction

I live in the Baltimore MD/Washington DC corridor. I blog on a variety of semi-random topics that I happen to be interested in; past and present topics include Howard County, Maryland (where I live), politics (after a fashion), (re)learning mathematics, Mozilla and open source, life as an eMusic subscriber and my thoughts about music and the music business in general. Current interests include issues of wealth and inequality, personal genomics, libertarian political philosophy (as a friendly skeptic), and how this all plays out over the next hundred years.

Bragging rights

I have a Bacon number of 3.

Places

Currently

Ellicott City, MD 21042, United States

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