# Tag Archives: whole vs. parts

## Operators, Functions, and Properties – part 43

In the last several posts in this series, we’ve looked at cyclical patterns of behavior of numbers and operators.  For example, in the previous post we saw that when counting up, the last digit of a number consistently repeats after … Continue reading

## Operators, Functions, and Properties – part 37

In this series we’ve looked at boxes that take certain inputs and then produce an output.  We’ve called such boxes operators, and we’ve thought of them in many different ways.  In some cases, the boxes perform arithmetic; in other cases, … Continue reading

## Operators, Functions, and Properties – part 33

In this series we have looked at various examples of operators, and most of our attention has been on operators where what comes out is a number, and what comes in is one or two numbers.  Some examples of two-numbers … Continue reading

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## Operators, Functions, and Properties – part 31

In the prior post in this series, we looked at the kind of operators typically encountered in school (K-12), whether or not they are called operators.  Many of them are single number input – single number output, but not all.  … Continue reading

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## Operators, Functions, and Properties – part 30

In many of the posts in this series we’ve shown operators that work on a single number coming in and that produce a single number coming out.  This is a hugely important subcategory of operators, but single-in single-out operators aren’t … Continue reading

## Operators, Functions, and Properties – part 24

In the previous post in this series, we started to model recurrence relationships with state machines: The idea is that we have a device with two buttons and a screen; after we press the Start button, we can press the … Continue reading

## Operators, Functions, and Properties – part 23

In this series, we’ve been looking at operators as something that modifies the state of some machine or device, usually triggered by the pushing of a button.  We’ve looked quite a bit at operators that operate on numbers, for example … Continue reading

## Groupings, Shopping Lists, and Vectors: The Series

This is a series on vector algebra, but it hasn’t wrapped up yet.  Here are the installments as of now: Quantity – Different Kinds of Numbers: Vectors – it really all started with this post.  But I didn’t know it … Continue reading

## Operators, Functions, and Properties – part 11

In the prior post of this series, we looked at pairs of operators in which one of the pair cancels out the effect of the other.  We call one of these the inverse operator of the other one.  For example, … Continue reading

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## Operators, Functions, and Properties: The Series

This series of posts introduces the notion of an operator as something that changes the state of some machine or device.  Often, an operator is invoked at the press of a button.  A special case of an operator is one … Continue reading