Theory of computation

Self-reference

Self-reference occurs in natural or formal languages when a sentence, idea or formula refers to itself. The reference may be expressed either directly—through some intermediate sentence or formula—or by means of some encoding. In philosophy, it also refers to the ability of a subject to speak of or refer to itself, that is, to have the kind of thought expressed by the first person nominative singular pronoun "I" in English. Self-reference is studied and has applications in mathematics, philosophy, computer programming, second-order cybernetics, and linguistics, as well as in humor. Self-referential statements are sometimes paradoxical, and can also be considered recursive. (Wikipedia).

Self-reference
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Learning to find the reference angle by using coterminal angle

👉 Learn how to find the reference angle of a given angle. The reference angle is the acute angle formed by the terminal side of an angle and the x-axis. To find the reference angle, we determine the quadrant on which the given angle lies and use the reference angle formula for the quadrant

From playlist Find the Reference Angle

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How to determine the reference angle of an angle in degrees

👉 Learn how to find the reference angle of a given angle. The reference angle is the acute angle formed by the terminal side of an angle and the x-axis. To find the reference angle, we determine the quadrant on which the given angle lies and use the reference angle formula for the quadrant

From playlist Find the Reference Angle

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Finding the reference angle of an angle in quadrant two

👉 Learn how to find the reference angle of a given angle. The reference angle is the acute angle formed by the terminal side of an angle and the x-axis. To find the reference angle, we determine the quadrant on which the given angle lies and use the reference angle formula for the quadrant

From playlist Find the Reference Angle

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How to find the reference angle of an angle larger than 2pi

👉 Learn how to find the reference angle of a given angle. The reference angle is the acute angle formed by the terminal side of an angle and the x-axis. To find the reference angle, we determine the quadrant on which the given angle lies and use the reference angle formula for the quadrant

From playlist Find the Reference Angle

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Evaluate for sine cosine and tangent using reference angles

👉 Learn how to find the reference angle of a given angle. The reference angle is the acute angle formed by the terminal side of an angle and the x-axis. To find the reference angle, we determine the quadrant on which the given angle lies and use the reference angle formula for the quadrant

From playlist Find the Reference Angle

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Evaluate for sine cosine and tangent using reference angles

👉 Learn how to find the reference angle of a given angle. The reference angle is the acute angle formed by the terminal side of an angle and the x-axis. To find the reference angle, we determine the quadrant on which the given angle lies and use the reference angle formula for the quadrant

From playlist Find the Reference Angle

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Learn how to determine the reference angle of an angle in terms of pi

👉 Learn how to find the reference angle of a given angle. The reference angle is the acute angle formed by the terminal side of an angle and the x-axis. To find the reference angle, we determine the quadrant on which the given angle lies and use the reference angle formula for the quadrant

From playlist Find the Reference Angle

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Learn to find the reference angle of a negative angle in terms of pi

👉 Learn how to find the reference angle of a given angle. The reference angle is the acute angle formed by the terminal side of an angle and the x-axis. To find the reference angle, we determine the quadrant on which the given angle lies and use the reference angle formula for the quadrant

From playlist Find the Reference Angle

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Find the reference angle of a angle larger than 2pi

👉 Learn how to find the reference angle of a given angle. The reference angle is the acute angle formed by the terminal side of an angle and the x-axis. To find the reference angle, we determine the quadrant on which the given angle lies and use the reference angle formula for the quadrant

From playlist Find the Reference Angle

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Writing an OS in Rust - Part 12b - Async/Await

This is my version of Philipp Oppermann's "BlogOS". It's a baremetal operating system that can boot off of a USB stick on any BIOS-compatible machine, which is pretty amazing. I'm going to be following the whole blog, one video at a time, and running the OS using QEMU instead of booting a

From playlist Rust OS

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The Why, What, and How of Pinning in Rust

With the Future trait stabilized and async/await coming soon, many more people are being exposed to the Pin type and its sibling trait Unpin. In this video, we dive deep into what these types are, why they are needed, how they work, and how to use them. We also dig into the connection to F

From playlist Advanced topics in Rust

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Crust of Rust: Lifetime Annotations

In the 2019 Rust Survey, a lot of people were asking for video content covering intermediate Rust content. So in this first video (possibly of many), we're going to investigate a case where you need multiple explicit lifetime annotations. We explore why they are needed, and why we need mor

From playlist Crust of Rust

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Crust of Rust: Functions, Closures, and Their Traits

In this episode, we go over the differences between function items, function pointers, and closures, as well as how they interact with the Fn* traits. We also touch upon dynamically dispatched Fns and experimental const Fn bounds. I've spliced out some audio issues that occurred on the li

From playlist Crust of Rust

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RefCell - The Rust Book (part 56) chapter 14

I'm streaming every weekday morning on Twitch at https://www.twitch.tv/brookzerker. Please feel free to stop by and say hi! Links Rust book: https://doc.rust-lang.org/book/second-edition/ My code: https://github.com/BrooksPatton/learning-rust The Learning Wiki: https://github.com/BrooksP

From playlist Rust Book

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Game Programming Patterns part 5.2 - (Rust) Command

We continue to work on implementing the Command pattern into the Rust infinite runner Links code - [https://github.com/brooks-builds/learning_game_design_patterns](https://github.com/brooks-builds/learning_game_design_patterns) twitter - [https://twitter.com/brooks_patton](https:/

From playlist Game Programming Patterns Book

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Game programming patterns part 5.1 - (Rust) Command

I begin implementing the Command pattern into the Rust infinite runner Links code - [https://github.com/brooks-builds/learning_game_design_patterns](https://github.com/brooks-builds/learning_game_design_patterns) twitter - [https://twitter.com/brooks_patton](https://twitter.com/br

From playlist Game Programming Patterns Book

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Game Programming Patterns 7.5 - (Rust) Observer Pattern

We try to implement the observer pattern into the Rust infinite runner. However we run into a bunch of problems mainly involving how to store references to the structs, or callbacks as an observer. Links code - https://github.com/brooks-builds/learning_game_design_patterns twitter - http

From playlist Game Programming Patterns Book

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Game Programming Patterns part 10.5 - (Rust + GGEZ) State Pattern

I begin refactoring the Rust + GGEZ infinite runner to use the state pattern, however we run into problems where we need to make a lot of changes to make the compiler happy. Not much progress on the pattern today. Links code - https://github.com/brooks-builds/learning_game_design_pattern

From playlist Game Programming Patterns Book

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Find the reference angle of a negative angle

👉 Learn how to find the reference angle of a given angle. The reference angle is the acute angle formed by the terminal side of an angle and the x-axis. To find the reference angle, we determine the quadrant on which the given angle lies and use the reference angle formula for the quadrant

From playlist Find the Reference Angle

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Game Programming Patterns part 16.2 - (Rust) Component Pattern

In this live stream I turned the example code in the Component Pattern chapter of the Game Programming Patterns book into working Rust code. Links code - https://github.com/brooks-builds/learning_game_design_patterns twitter - https://twitter.com/brooks_patton book - http://gameprogrammi

From playlist Game Programming Patterns Book

Related pages

Droste effect | Flip-flop (electronics) | DNA | Semantics encoding | Gödel's incompleteness theorems | Jorge Luis Borges | Conway's Game of Life | Tupper's self-referential formula | Use–mention distinction | Well-formed formula | Game theory | Formal language | Raymond Smullyan | Self-replication | Impredicativity | Mathematics | Recurrence relation | Computability theory | Consistency | Russell's paradox | Recursion