Monthly Archives: June 2009

Quantity – Different Kinds of Numbers: Notations

When you think of operations as having a front office component and a back office component, where the front office component provides the public face and the back office component provides the implementation, as we first introduced in the post … Continue reading

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Quantity – Different Kinds of Numbers: Classes

Let me recap what this series of blog posts has been about.  I’ve been looking at different kinds of quantities, different kinds of numbers.  I started with observations like: it’s meaningless to add 1951 AD to 2009 AD but completely … Continue reading

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Quantity – Different Kinds of Numbers: Vectors

Sometimes, when you assign a number to a quantity, a single number really isn’t enough.  Take blue jeans sizes, as a simple example.  Jeans sizes aren’t expressed with a single number, from small to large, like shoes.  Since at least … Continue reading

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Quantity – Different Kinds of Numbers: Scalars

We’re used to representing quantities by numbers.  In this series we’ve been looking at different kinds of quantities, and how certain actions on the numbers are meaningful for some kinds of quantities and meaningless for other kinds of quantities.  It … Continue reading

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Quantity – Different Kinds of Numbers: Intervals

It is useful to look closely at this graph taken from a Wikipedia article on misleading graphs: The reason given for the graph being misleading is familiar to most of us: the labels on the vertical axis don’t start at … Continue reading

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Quantity – Different Kinds of Numbers: Keys

I introduced this series by noting that there are different kinds of numbers – more precisely, different kinds of quantities represented by numbers – and that each allows you to draw different kinds of conclusions. The most basic kind of … Continue reading

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Quantity – Different Kinds of Numbers

We’re very used to representing quantities by numbers.   The cash register will tell us how much we have to pay, and the pump at the gas station will tell us how much gasoline we poured into our tank, and the … Continue reading

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