Tag Archives: representations

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

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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

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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

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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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