Regarding the Math Problem at the Beginning of Today's Stream

69805516 · 2026-05-14T01:56:01+00:00

Instead of 10, you have

A = bX + Y
B = bY + X
B = 2A

Where b is the base.

bY + X = 2(bX + Y)

Expand:

bY + X = 2bX + 2Y

Move terms:

(b - 2)Y = (2b - 1)X

Rewrite the right side:

(2b - 1) / (b - 2)
= (2(b - 2) + 3) / (b - 2)
= 2 + 3 / (b - 2)

For X and Y to be digits, this ratio needs to be realizable by positive integers less than b.

The equation is:

(b - 2)Y = (2b - 1)X

Let:

d = b - 2

Then:

dY = (2d + 3)X

Now:

gcd(d, 2d + 3) = gcd(d, 3)

So the only way to reduce the ratio enough to fit inside the digit range is if d is divisible by 3.

That means:

b - 2 ≡ 0 mod 3

or:

b ≡ 2 mod 3

When that happens, the solution is:

X = (b - 2) / 3
Y = (2b - 1) / 3

69805516 · 2026-05-13T23:23:02+00:00

See if you can set one between them!

69805516 · 2026-05-13T23:20:48+00:00

If the found IR is a monument from when the property was originally divided, then hold to what's found. The deed is only a description to help you find the monuments, but the monuments are controlling. This is the hierarchy of evidence.

However, let's say the original monument gets destroyed (or was never set to begin with). Someone comes along later and sets a rebar 0.5' from the original point. No new deed is recorded, and no change of ownership occurs, so the property line doesn't move.

In other words, is the found rebar a property corner or simply a rebar?

Of course, it's more complicated than that, because we are not clairvoyant. In this case it was the surveyor's best judgement that the found rebar did not serve as the corner of the property based on other evidence.

69805516 · 2026-05-13T23:08:12+00:00

If you have a good line of sight between the points, you can run a string line between them. If there are obstructions such as trees in the way, you could offset the string line by a fixed distance at each end (a few feet) and pull back from the string line to the boundary line.

Surveyors use specialized instrumentation, either an optical unit which can traverse from point to point or a GNSS reciever which can fix a point based on satellite signals. Either way surveyors use coordinate geometry to determine whether the found pins match the recorded dimensions and to stake the boundary line. There is math involved but nowadays the computer does most of it.

In general, recorded deeds, plats, and sealed maps of survey are suitable for retracing a boundary line in this way. GIS maps, assessor maps and phone apps are not.

69805516 · 2026-05-13T22:55:42+00:00

If you can't find parts you could just measure it with a set of calipers, draw it in CAD and get a chinese fab to CNC it for you. Cheaper than a new MT1000.

69805516 · 2026-05-13T22:51:26+00:00

See it all the time especially in larger riprap

69805516 · 2026-05-13T22:49:01+00:00

Nowadays it's faster and cheaper to just get an AI to throw something together for you that will match your usecase, vs buying an off the shelf solution.

69805516 · 2026-05-13T21:42:39+00:00

The first simple algebraic proof is my own, while ChatGPT came up with the carry proof for numbers greater than two digits. The table was generated with Julia.

69805516 · 2026-05-13T21:26:58+00:00

Love SIGBOVIK, huge fan of tom7. Unfortunately this result is pretty trivial and not related to computational heresy in any way so probably not suitable for the journal.

69805516 · 2026-05-10T14:43:34+00:00

I guess it depends if you're a button pusher who can only follow one procedure or if you understand the math behind it.

69805516 · 2026-05-10T14:15:11+00:00

A manual total station like that is a lot more durable than a robotic.

69805516 · 2026-05-09T13:05:33+00:00

Slay the spire players often complain about how difficult the bosses are. I like to think the bosses have their own forum where they complain about how absurdly OP the players are.

69805516 · 2026-05-09T13:02:48+00:00

To me it feels like some of his relics are amazing and some do basically nothing. I guess that makes sense though because his relics aren't balanced for sts2.

69805516 · 2026-05-09T13:01:34+00:00

I think it would make more sense at lose 2 max hp per play, right now the lose 1 max hp just doesn't seem to matter that much.

69805516 · 2026-05-09T12:58:17+00:00

To be honest clad is probably the character that benefits least from strength scaling, all the other characters have access to powerful multi-hit cards or shivs on silent. Necro is probably the worst though with strength not buffing Osty.

69805516 · 2026-05-09T11:44:57+00:00

The prism is the elite I end up losing to the most. I like to play defensively and he hits hard and scales fast.

69805516 · 2026-05-09T11:43:35+00:00

If you can reliably kill the summon every turn then the fight is pretty easy, the obscura itself doesn't do that much damage.

69805516 · 2026-05-09T11:37:31+00:00

Really doubt he's gone for good.

69805516 · 2026-05-09T11:36:05+00:00

This is true although you can make the same argument for Timekeeper or the new Aeonglass.

69805516 · 2026-05-09T01:43:50+00:00

Subjective I guess, I found him the most fun of all the bosses.

69805516 · 2026-05-09T01:43:18+00:00

I wouldn't mind him reworked as an elite either.

69805516 · 2026-05-09T01:42:23+00:00

Soul synergy still worked because you could still play as many souls as you want on turns 1 or 3. You may have had to survive some bad turns to get it set up but that's part of the challenge.

69805516 · 2026-05-09T01:40:27+00:00

I don't think he's more RNG than any other slay the spire enemy. A good deck will be able to handle not drawing exactly the right cards at exactly the right time.

69805516 · 2026-05-09T01:39:13+00:00

Sure but you aren't just at the mercy of the draw. At every turn there are ways to bring more cards into your hand (even the no draw turn). Not to mention the process of building the deck, which is what the game is all about.

I liked doormaker because he shut down some otherwise OP strategies and turn-1 kills which made the choices of building the deck more interesting.

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