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See Also [[Maths - Series]]S [[Further Maths - Series]]S Flashcards What is a recurrence relation?? A definition of a sequence that depends on the previous terms. If you specify $$U_{k+1} = U_k + 7$$ what must you also specify for it to define a sequence?? $$ U_1 = … $$ What does it mean for a recurrence relation to be decreasing in terms of $U_{n + 1}$ and $U_n$?? $$ U_{n + 1} < U_n $$

Flashcards What is a parametric equation?? An equation where $x$ and $y$ are defined in terms of a parameter $t$. How do you work out points for a parametric curve?? Plug in a value for $t$ and see what co-ordinate $(x, y)$ it generates. How can you convert a parametric curve to a Cartesian one?? Rearrange $x$ or $y$ to $t = …$ and then substitute. Backlinks [[Maths - Syllabus]]S Metadata date: 2021-10-05 18:04 tags: - '@?

From Replacing Guilt, “Failing with Abandon”: … @?todo Metadata date: 2021-10-05 16:37 tags: - '@?notes' - '@?rationality' - '@?public' - '@?safe-to-post-online' title: Failing with Abandon

Flashcards Backlinks [[Further Maths - Syllabus]]S Metadata date: 2021-10-05 16:31 tags: - '@?public' - '@?school' - '@?further-maths' - '@?inequalities' - '@?further-pure-1' - '@?safe-to-post-online' title: Further Maths - Inequalities

Metadata date: 2021-10-01 21:14 finished: false rating: -1 tags: - '@?notes' - '@?book' - '@?public' - '@?island' - '@?safe-to-post-online' title: Island

Man chooses if he is good or bad? This took me a while to finish because I stopped reading for about 2 months halfway through. I thought it was good, the description of the setting and atmosphere was amazing. Reading that first chapter as Steinbeck describes the Salinas Valley was great. Backlinks [[Book Notes]]N Metadata date: 2021-10-01 21:13 finished: true rating: 7 tags: - '@?notes' - '@?book' - '@?east-of-eden' - '@?

Man builds an AGI and then either destroys all of humanity or colonises $4\times 10^{20}$ stars. This book was really, really good. I’ve been interested in the idea of AI safety for a while now after reading LessWrong and this book was just full of so much good information and new perspectives. Flashcards Past developments and present capabilities Growth models and big history A few hundred thousand years ago, it took on the order of a million years to increase civilisations ability to support an extra one million citizens living at subsistence level.

From Replacing Guilt, “Have no excuses”: Resolve to refuse to excuse your own failures in the even that you do fail, even if it was understandable. Don’t try to excuse bad luck; think of it more like it was a bet worth taking ( [[The Scout Mindset]]N). The difference is it means you own the choice. Admitting failure is and feeling pressure on yourself is “precisely the impetus to learn and adapt”. “Stop generating reasons why you never could have won, and play to win”.

From Replacing Guilt, “The value of a life”: If you have money and want to save lives, you had better put a price on life. Lives should be treated as priceless, but it’s instrumentally rational to assign a value to a life in order to effectively do the most good. The gap between the value and the price is a measure of the difference between the universe that is, and the universe that should be.

Inspired by Luke Meulhlhauser’s quarterly updates on his favourite media (music, movies/TV and books), here are my favourite things! There is definitely a lot that I’ve forgotten. Who cares? Nobody, really. This is more for me than for anyone else. It’s like when someone asks you what your favourite book is and you forget straight away, it’s nice to be able to have a list. But consider anything on here a recommendation from me. Music Albums The links aren’t too the album as a whole but to a good part of each album.

⚠️ This post still needs writing. ⚠️ Backlinks [[Using the reMarkable 2 as an A-level Student]]B [[Blog Posts]]B [[Projects]]B [[A-Level Notes]]S [[How to get around]]M Metadata date: 2021-09-29 15:22 tags: - '@?blog' - '@?public' - '@?safe-to-post-online' - '@?todo' title: Sergeant, applying spaced application to A-levels

⚠️ This post still needs writing. ⚠️ Backlinks [[Blog Posts]]B [[Projects]]B [[AI: A Modern Approach]]N [[A-Level Notes]]S [[The Scout Mindset]]N [[How to get around]]M [[Book Notes]]N Metadata date: 2021-09-29 15:21 tags: - '@?public' - '@?safe-to-post-online' - '@?blog' title: Albatross, how I take notes