# Tag Archives: extending patterns

## Operators, Functions, and Properties – part 26

In the previous post in this series, we linked two state machines together, weakly, by arranging to press their Start buttons at the same time and to press their Next buttons at the same time.  As a result, we got … Continue reading

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## Operators, Functions, and Properties – part 25

In this series, we’ve looked at operators in various ways.  Recently, we’ve looked at state machines that invoke the same operator repeatedly, and generate a sequence of numbers in doing so.  Conversely, sequences of numbers can often be modeled as … Continue reading

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## 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

## Operators, Functions, and Properties – part 22

In this series, we’ve lately been modeling a four-function calculator as a state machine.  A state machine moves from state to state based on operators that are invoked through button presses.  Operators  take their input, do something with it, and … Continue reading

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## Operators, Functions, and Properties – part 21

In this series we’ve been looking at operators, which we have visualized as boxes with a value (or multiple values) going in, and a single value coming out.  We pictured these boxes as little machines, which sit there waiting for … Continue reading

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## Operators, Functions, and Properties – part 20

In this series, we started out by looking at operators as little boxes that have a value going in and a value coming out, and that can be chained together in interesting ways, ways that allow us to illustrate key … Continue reading

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## Operators, Functions, and Properties – part 19

In this series, we have been playing with the notion of a state machine: a machine that changes states depending on what buttons are pressed, and this has led us to look at the mathematics of operators in an interesting … Continue reading

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## Operators, Functions, and Properties – part 18

In the latest post in this series, we looked at modeling a simple four-function calculator as a state machine where key presses invoke operators that operate on the current state of the machine, producing a new state. Missing from this … Continue reading

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## Operators, Functions, and Properties – part 17

In this series we’ve been looking at machines with buttons, where a button press will invoke an action which we’ve called an operator.  The operator operates on the state of the machine.  It should be interesting to analyze the workings … Continue reading

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