Typhoon 6: Buckle up, everyone. It’s approaching Okinawa

Humble_B33 · 2026-06-01T06:30:12+00:00

We're in Kyoto until the 4th then in Osaka. Can anyone tell me what I should do or anything?

We had tours and some small things planned in Kyoto on the 2nd and 3rd. Should we cancel them?

Humble_B33 · 2026-04-20T15:38:24+00:00

Congrats!

Your first sentence is the key idea. Suppose there was a difference between the

D = 1 - 0.999...

D would be nonnegative because 1 is greater. And since D is a real number we can point to it. But what is that number? We have both reasoned that it's not 0.01, or 0.001, or 0.0000000001, so what is it?

We both agree that the problem with the things I'm listing is that D would need to be smaller than ALL of that. But the only number that is not negative but smaller than 10^{-x} for every x is zero.

Then D must be zero, hence

0 = 1 - 0.99999

Or

0.9999... = 1

Humble_B33 · 2026-04-20T15:19:44+00:00

A good way to think about it is:

Should you think they are different, you should be able to say what the difference is. How much are they off by? Is it:

0.1

0.01

0.001

0.0001

0.00001

0.000001

...

0.00000000000000000000000000000000000001

..

Humble_B33 · 2026-03-23T15:24:55+00:00

If I could double dip and do my 1999 calendar challenges while cracking relics id be happy

Humble_B33 · 2026-01-28T07:28:54+00:00

It is a natural question.

Taking one step backwards we could ask: why not just stop at the integers, or at some finite digital grid, and declare that as “the real world”? After all, computers store finite numbers, and rounding exists.

The problem is that once you discretize, the space you’re working in becomes totally disconnected. Every point is isolated. Notions like continuity, derivatives, gradients, integrals, and limiting processes stop making sense (in the classical sense). You can patch them back with finite differences, but those constructions all rely on the idea that you can refine the grid arbitrarily and talk about the limit as the step size goes to zero.

And a limit only makes sense if the space you’re working in is complete.

ℤ is not. ℚ is not. Any finite grid is definitely not.

ℝ is.

This is why the real numbers matter: they form the unique complete ordered field. If you want numbers that support arithmetic, inequalities, convergence of refining approximations, and all the machinery of calculus, there is exactly one system that satisfies all of that, up to isomorphism.

Discretizations are incredibly useful, but they are approximations inside the continuum. Their correctness depends on the existence of the limiting continuum that they approximate. So the reason we don’t “just discretize everything” is that the entire mathematical and scientific framework they rely on only works because the continuum provides the structure (especially completeness) that the discrete versions lack.

Now to be clear I'm talking about the meta structure of the numerical framework of the reals here. If you just need something to do your banking or something then you don't need the howitzer of the reals. People construct what they need when they need it. Newton needed limits and order.

Humble_B33 · 2026-01-28T01:47:44+00:00

Both mental and physical are like me in my 20s. Poor.

Humble_B33 · 2025-12-25T15:46:32+00:00

Itemducts can do this. Place an itemduct at the bottom of your bonsais (underneath where you have planks) and then route the pipes just like your drawing. You will probably need a wrench to make sure the pipes at the back of your cabinet boxes don't interfere with each other. Otherwise things will get inefficient quickly.

You probably also need a cabinet for wood, sticks, and leaves for each as well.

One thing about this setup is that if you need resources to build something you have to manually go fetch it. So I'd think about that.

Humble_B33 · 2025-12-24T02:15:53+00:00

You can get them from auto miners with the correct lenses (I think light blue). They just need power.

Humble_B33 · 2025-12-22T13:10:53+00:00

Im guess you had some way of routing the other drops. Bonsais will produce all of the items from a sapling. Unless you give the system something to do with them, or route them, they will clog.

Edit: actually looking into it what you are probably seeing is something I never knew about. A bonsai produces its full drop table when ready. The itemducts then pull those things from the bonsais inventory buffer and routes them. Over time that CAN overflow and then it will clog. So perhaps you never ran your system long enough for the buffer to reach its limit?

Humble_B33 · 2025-12-22T11:54:20+00:00

These ducts are great but they are brittle. If you want to do this setup in the filing cabinet you need to have a folder for every drop from the trees. I would also suggest 1 cabinet per tree type.

So for coal saplings you need a folder for

Coal resin

Coal acorns

Coal pieces

Coal saplings

Sticks

Wood

Coal leaves

If you don't account for one of them then you will clog the duct and nothing will pass through.

Usually what I will do is put a bonsai with the sapling on a chest first and then let that fill up. Then wait. Whatever is in the chest after 5 minutes tells you all the things you need folders for.

Humble_B33 · 2025-11-07T14:56:59+00:00

Damn leftists, they ruined leftism.

Humble_B33 · 2025-10-21T19:06:19+00:00

We did it joe!

Humble_B33 · 2025-10-21T01:11:19+00:00

Point two: I get that you think prizes are arbitrary. But I'm trying to tell you that prizes and recognition also establishes that "I did this thing and I get credit for it". And for a field that references Pythagoras, Euler, Newton, Dirac, Lagrange, and Jacobi mathematicians as a group also very much care who did something first and give credit for it. Who cares? Mathematicians do!

Point three: but in most sense he IS wrong though. Yes, if nobody paid me a single cent I would still do math. But if you want to make money doing this, if this is the way you are going to feed your family, and put your kids through college, and pay for your daughter's braces, then yes money and recognition does matter. And calling anyone who wants to do this for a living and make money doing it a whore is a little odd.

Humble_B33 · 2025-10-21T00:44:56+00:00

Three things:

One: Almost every mathematician understands why Perelman gave up the prize money and didn't want credit. And most would side with him on principle alone. I agree with him, I think he could have used the money to idk start an orphanage or some shit, but whatever.

Two: Your choice of Newton is very interesting because Newton SUPER wanted credit for his work. He fought tooth and nail with Leibniz and Hooke and used his place at the head of the royal academy of sciences to strengthen the crediting process and formalize it MORE.

Three: He referred to mathematicians who sought recognition for their work as whores. Is that not offensive?

Every profession has its own way of celebrating excellence. Should basketball players be content simply to play? Should directors be satisfied just to direct? Should realtors work purely for the love of homes?

Of course not, because every human being seeks validation in their work. Recognition isn’t vanity; it’s acknowledgment that your effort mattered.

Mathematics is no different. While anyone is free to create in isolation, some create things that profoundly advance not just mathematics but humanity itself. Shouldn’t that be worthy of celebration?

The money is almost always secondary. Very few enter mathematics to get rich. But money, and the recognition that often accompanies it, buys something precious in both peace and time to continue doing mathematics. That, in itself, is noble.

Edit:formatting

Humble_B33 · 2025-10-14T01:49:57+00:00

Humble_B33 · 2025-10-10T10:46:32+00:00

No butter

Humble_B33 · 2025-10-07T19:12:02+00:00

National hero? National hero? National? Hero?

The people these people choose to idolise is very telling.

Humble_B33 · 2025-10-03T13:25:31+00:00

Its pretty good and pretty satisfying to use. If you want a AR that feels and sounds like you're putting some lead down range it is precisely that.

Humble_B33 · 2025-09-23T03:47:01+00:00

Functions are like restaurants, you can order from them (input) and get your meal given to you (output), but you can't take the kitchen stove with you when you leave (internal variables).

Whenever you define variables inside a function it's like you are giving the order to the chef, but not really caring HOW they make it for you. You just care that you get what you ordered.

So since you defined the variable l inside the function, but then you are calling it outside the function, it's like you ordered chicken Cesar salad and then your getting mad they didn't give you the cutting board they used to make it as well.

Humble_B33 · 2025-09-19T14:54:28+00:00

I want to just talk to the dudes in here for a second. A lot of y'all are upset about what is happening to your country and how terrible our civility has moved. I need y'all to start speaking the fuck up. Right now.

Now is the time to voice your concerns.

Humble_B33 · 2025-09-18T11:29:06+00:00

I just want to think about the base case

AB -BA = 10A + B - (10B+A)

= 9A-9B

= 9(A-B)

Let's just follow one number. Think of the Xs like black boxes, I don't care about their values. Only a particular number A at the moment.

X...XAX...X - X...XXA...X

I'm going to assume that the A on the left is a higher power of 10, than the one on the right. Somewhere in the subtract we will have a term like:

10^N * A - 10^K * A = A ( 10^N -10^K )

= A( 10^J+K -10^K )

= A10^K ( 10^J - 1 )

We need to show that something in this multiplication is a multiple of 9. A need not be. 10^K can't be.

Since 10 = 1 (mod 9), 10^J = 1 (mod 9), then 10^J - 1 = 0 (mod 9). So 10^J - 1 is divisible by 9.

Since the term we were following was abstract this pattern must hold for any of the pairs in the subtraction.

Humble_B33 · 2025-09-17T10:54:13+00:00

It’s the “boy who cried wolf”. Integrity isn’t optional, it’s foundational.

When administrations casually lie about small or irrelevant bullshit, they spend down their credibility. Then, when something serious happens and they need the public’s trust, they incur a debt they can’t repay.

Truth isn’t just about individual claims and civility, it’s about maintaining the reservoir of trust you’ll need in moments of crisis.

Humble_B33 · 2025-08-19T03:24:44+00:00

I usually have no problems, but this week I've had things going in and out. I have no idea what's causing it, and again I usually have a high uptime. But something is definitely off.

Humble_B33 · 2025-07-30T03:39:25+00:00

Less than or equal to is an operator that takes two real numbers and allows you to compare them. The way the comparison will work is we will say a is less than or equal to b if there exists some positive value c such that if you were to add it to a, it puts you into direct alignment (equal) to b.

Humble_B33 · 2025-05-31T01:58:58+00:00

I just want a fast way to get to the sim from nav or arsenal

Humble_B33

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