The Lebesgue Outer Measure, or more briefly the outer measure, of a set is given by , where the infimum is taken over all finite or countable collections of intervals (where is bounded) such that

G De Barra

While we were thinking about how to construct examples for this definition; a friend came up with this interesting observation:

: We will collect the coverings of set A.Step 1: We will find the summation of the lengths of the elements in each covering.Step 2: We will put all the values what we got inStep 3Step 2in a set.: We will find the inf[imum] for the set we constructed inStep 4Step 3.

I was quite excited by her observation. I thought I’ll give it a cartoon twist, to help them learn the definition better.

Visual ~~queues~~ cues to remember things is very useful trick students can leverage to memorize key facts.

In fact, if you have watched BBC’s Sherlock series, you might have heard a term called “Mind Palace” over and over again – that’s an extension of the use of visual queues to remember facts, but takes a lot of practice and meditation to build mind palaces. Read more about it in Wikipedia >>

Another simpler tool you can use to organize your thoughts is called Mind Maps. This is a tool you can master easily. Read more about it in Wikipedia >>

We used to use mind maps to summarize learning in class – do try it out, and get in touch with us if you need any help!

We had talked about some useful computer-aided mind mapping tools in a recent post (link).

Don’t forget to hit the **like **button below/share this article if you find it interesting! 🙂 If you do like this, do follow the blog for more posts like this!

This cartoon also reminds me of a very good blog I came across many years ago: Math with Bad Drawings (link). Must confess he’s been an inspiration to me! This recent post (link) there might interest – do check it out!

## Recommended Books for Real Analysis

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