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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
Posted in Uncategorized
Tagged black box, equivalence, extending patterns, invariants, recurrence relationship, representations
1 Comment
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 22
In this series, we’ve lately been modeling a fourfunction 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
Posted in Uncategorized
Tagged black box, equivalence, extending patterns, models, representations, reverse engineering
2 Comments
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
Posted in Uncategorized
Tagged black box, equivalence, extending patterns, models, representations, reverse engineering
2 Comments
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
Posted in Uncategorized
Tagged black box, deferred computation, equivalence, extending patterns, models, representations, reverse engineering
2 Comments
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
Posted in Uncategorized
Tagged black box, deferred computation, extending patterns, models, representations, reverse engineering
1 Comment
Operators, Functions, and Properties – part 18
In the latest post in this series, we looked at modeling a simple fourfunction 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
Posted in Uncategorized
Tagged black box, deferred computation, denominations, extending patterns, models, representations, reverse engineering
3 Comments
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
Posted in Uncategorized
Tagged black box, deferred computation, extending patterns, models, representations, reverse engineering
2 Comments