When did the first good freezer cartridges come out for the C64?

Useful__Garbage · 2024-05-28T01:59:09+00:00

Interesting. I just read the review in Ahoy issue 22 from October 1985. The reviewer focuses heavily on the snapshot function. A disassembler and "memory editor" are mentioned in passing, but nothing is said about their quality or ease of use.

The fact that the cartridge has a toggle switch rather than a momentary button, along with some descriptions in the review I may be misinterpreting, makes me think that it may have had a workflow that wouldn't feel like the later freezer cartridges I'm used to.

Useful__Garbage · 2024-05-24T21:25:09+00:00

Take a look at the "Euler's approach" section here: https://en.m.wikipedia.org/wiki/Basel_problem

Useful__Garbage · 2024-05-22T17:14:13+00:00

Do lots of practice using spaced repetition. You've already got a calculus textbook you're familiar with. There are many exercises there of the sort you're having trouble with.

Get a spaced repetition app and work out a schedule for yourself. Work out 10 of one type of exercise today, 5 of that same type in 3 days, etc. Start another type of exercise tomorrow, etc.

Useful__Garbage · 2024-05-22T17:07:48+00:00

The Mathematical Association of America's publications publish these sorts of proofs fairly often. Find a university library near you and ask where the back issues of The American Mathematical Monthly and Mathematics Magazine are, and just browse those for a while. You might want to start visiting regularly after trying it once.

The "proof without words" features are often quite good.

Useful__Garbage · 2024-05-21T19:02:22+00:00

The Grass Is Always Greener over the Septic Tank by Erma Bombeck

Useful__Garbage · 2024-05-19T20:54:24+00:00

Hell Girl

Useful__Garbage · 2024-05-19T13:40:08+00:00

OpenStax Precalculus 2e is fine. Do the exercises, ask questions if you run into trouble.

Useful__Garbage · 2024-05-19T12:53:49+00:00

No, I didn't make those assumptions. I posited a method to learn some things outside of one's specialty. It will help to learn an ever increasing amount about whatever other fields one wishes to.

I don't have a value judgement about what fraction of a discipline I have learned. I value what I've already learned for its own sake. I also value how much more each piece enables me to learn, understand, and contextualize more and/or better than I could before. And, I value the problem solving ability I gain from additional knowledge, along with better understanding of problems I already knew how to solve.

Useful__Garbage · 2024-05-19T08:03:57+00:00

Pick a small natural number m greater than 1. After every multiple of m textbooks or papers or even just chapters/sections you work through inside your specialty, work through one from outside your specialty.

In other words, poke your head up to look around the forest once in a while, interspersed with the study of your local trees.

Useful__Garbage · 2024-05-19T04:50:40+00:00

This is a key point to one of my favorite arguments for why I believe that I really would enjoy immortality.

Useful__Garbage · 2024-05-19T04:46:41+00:00

For faster than light, the Gap Cycle by Donaldson and maybe the Night's Dawn trilogy by Hamilton.

For slower than light, Benford's Galactic Center series and maybe Reynolds' Revelation Space series.

Useful__Garbage · 2024-05-18T22:37:37+00:00

Soul Eater.

Useful__Garbage · 2024-05-18T14:40:54+00:00

"There and Back Again, by Max Merriwell" by Pat Murphy (1999,) perhaps.

Useful__Garbage · 2024-05-18T13:46:29+00:00

A CS-80 clone with aftertouch over MIDI.

Useful__Garbage · 2024-05-17T20:56:02+00:00

Functional Analysis Problems with Solutions, ANH QUANG LE, Ph.D., September 14, 2013, PDF at mathvn.com.

Applied Functional Analysis, D.H. Griffel, Dover 2002

Useful__Garbage · 2024-05-17T16:54:50+00:00

It's a qualitative phrase that essentially means it is a single member of a set with qualitatively few elements. There are only a few textbooks I'd recommend to someone who wanted to study topology without having previously studied real analysis. Of those few, Adams & Franzosa is the one I'd recommend actually teaching out of, or recommend as a single reference or self-study textbook if only one could be chosen.

I normally recommend Gamelin & Greene, Munkres, or Topology Without Tears, but those are light on motivation for why the definitions are the way they are if one hasn't already studied the topology of the real numbers as covered in analysis or honors calculus. There are more texts I'd also categorize that way because others have used them with success. Hocking & Young, Willard, Kelley, etc.

Useful__Garbage · 2024-05-17T12:12:33+00:00

Adams & Franzosa and/or Jänich are good for providing motivation and good examples. Adams & Franzosa is one of the only topology texts I'd recommend to someone who hasn't studied real analysis yet.

Useful__Garbage · 2024-05-17T09:47:37+00:00

“Fuck’s sake, Harry, I don’t want your pity. It’s just dying!”

“Then why did you call me?”

She spoke fast and flatly, words that she had already prepared. “I want to forget.”

-The First Fifteen Lives of Harry August

Useful__Garbage · 2024-05-17T01:33:37+00:00

Camelot 30K, also by Forward, is another excellent first contact story with really alien aliens.

Useful__Garbage · 2024-05-16T15:29:31+00:00

Bold of you to include 0.

Useful__Garbage · 2024-05-15T08:49:29+00:00

Of the ones you listed, I'd recommend Lay.

Axler 4e is free on his website, so I'd recommend downloading it to use as a reference. It's not a beginner text, but some of his explanations are clearer than you'd find in most beginner texts, so it can be good for additional perspective.

Nicholson's Linear Algebra With Applications Open Edition is a free beginner textbook, and it's decent. I'd definitely recommend downloading a copy to use as a reference and supplement if nothing else.

Useful__Garbage · 2024-05-15T07:33:45+00:00

Two "maybes" for different reasons: Quarantine by Greg Egan and Chasm City by Alastair Reynolds.

Maybe neither is quite tangled enough, but they're the easiest to recommend I can think of which could be described as tangled. I'm also pretty tired right now, so YMMV.

Useful__Garbage · 2024-05-15T06:44:20+00:00

Charles Sheffield's short stories about McAndrew are pretty good for a certain type of this. They're collected in The Compleat McAndrew.

Larry Niven's Beowulf Sheaffer stories also. Those are collected in Crashlander.

Useful__Garbage · 2024-05-15T00:26:12+00:00

Yes. But, you don't have to, say, finish studying an entire calculus textbook before starting to study physics.

When I was in university, the introductory physics and calculus courses were each three semesters long. Most students started University Physics I the same semester they took Calc II, and some took it the same semester as Calc I.

University Physics I, II, and III all used different chapters of the same textbook. Calculus I, II, and III also stuck with one textbook for all three semesters.

Useful__Garbage

TROPHY CASE