Onions Gillespie

[Onions Gillespie @maxcsmith]

My designs on Thingiverse! Waterpipes, pipes, music, machine parts, craft, culinary, household, etc.

https://t.co/vtPCnJzG7L

[Onions Gillespie @maxcsmith]

Quantitative 420

Licensed Under CCA 4.0

╔══════════════════════════════════════════════════════════════╗
║ WORKED EXAMPLE TEMPLATE ║
╚══════════════════════════════════════════════════════════════╝

ENTERED EQUATION:

A(x,y) = B(x,y)

STEP 1 — MOVE TO ONE SIDE

D(x,y) = A(x,y) - B(x,y)

Solve:

D(x,y) ≡ 0 (mod 420)

STEP 2 — REDUCE THROUGH 4·3·5·7

MOD 4:
D(x,y) ≡ 0 (mod 4)

x₄ = ______
y₄ = ______

MOD 3:
D(x,y) ≡ 0 (mod 3)

x₃ = ______
y₃ = ______

MOD 5:
D(x,y) ≡ 0 (mod 5)

x₅ = ______
y₅ = ______

MOD 7:
D(x,y) ≡ 0 (mod 7)

x₇ = ______
y₇ = ______

STEP 3 — RECONSTRUCT x

x ≡ 105x₄ + 280x₃ + 336x₅ + 120x₇ (mod 420)

x ≡ 105(____)
+ 280(____)
+ 336(____)
+ 120(____)

x ≡ __________ (mod 420)

STEP 4 — RECONSTRUCT y

y ≡ 105y₄ + 280y₃ + 336y₅ + 120y₇ (mod 420)

y ≡ 105(____)
+ 280(____)
+ 336(____)
+ 120(____)

y ≡ __________ (mod 420)

STEP 5 — OPTIONAL X/Y MIX

If gcd(x,420) = gcd(y,420) = 1:

z ≡ x·y⁻¹ (mod 420)

XANDYMIX:

x·y⁻¹ ≡ ______ (mod 420)

YANDXMIX:

y·x⁻¹ ≡ ______ (mod 420)

If XANDYMIX = YANDXMIX:

z ≡ z⁻¹ (mod 420)

therefore:

z² ≡ 1 (mod 420)

STEP 6 — REDUCE z

z₄ = z mod 4 = ______
z₃ = z mod 3 = ______
z₅ = z mod 5 = ______
z₇ = z mod 7 = ______

RECONSTRUCT:

z ≡ 105z₄ + 280z₃ + 336z₅ + 120z₇ (mod 420)

z ≡ __________________________________________

z ≡ __________ (mod 420)

STEP 7 — VERIFY

Original:

A(x,y) = B(x,y)

Insert:

x = ______
y = ______

Left side:

A(x,y) = __________

Right side:

B(x,y) = __________

Therefore:

[ PASS / FAIL ]

══════════════════ FINISHED RESULT ══════════════════

x ≡ __________ (mod 420)

y ≡ __________ (mod 420)

z ≡ __________ (mod 420)

═════════════════════════════════════════════════════

╔══════════════════════════════════════════════════════════════╗
║ THE 420 REDUCTION SYSTEM ║
╚══════════════════════════════════════════════════════════════╝

BASIC 420 RULE

420 = LCM(1,2,3,4,5,6,7)

420 = 2²·3·5·7
= 4·3·5·7

Use the independent coprime moduli:

{ 4, 3, 5, 7 }

1, 2 and 6 add no new independent modulus information.

────────────────────── GENERAL WORKSHEET ──────────────────────

For an entered mixed-variable equation:

A(x,y) = B(x,y)

write:

1. D(x,y) = A(x,y) - B(x,y)

2. D(x,y) ≡ 0 (mod 4)

3. D(x,y) ≡ 0 (mod 3)

4. D(x,y) ≡ 0 (mod 5)

5. D(x,y) ≡ 0 (mod 7)

Record the resulting residues:

x₄, x₃, x₅, x₇
y₄, y₃, y₅, y₇

──────────────────── 420 RECONSTRUCTION ───────────────────────

x ≡ 105x₄ + 280x₃ + 336x₅ + 120x₇ (mod 420)

y ≡ 105y₄ + 280y₃ + 336y₅ + 120y₇ (mod 420)

WHY THE COEFFICIENTS WORK:

mod 4 mod 3 mod 5 mod 7

105 1 0 0 0
280 0 1 0 0
336 0 0 1 0
120 0 0 0 1

Each coefficient reconstructs one residue without
altering the other three.

───────────────────── X AND Y MIX ─────────────────────────────

If x and y are invertible modulo 420:

XANDYMIX = x·y⁻¹ (mod 420)

YANDXMIX = y·x⁻¹ (mod 420)

where:

gcd(x,420) = gcd(y,420) = 1

Set the two mixes equal:

x·y⁻¹ ≡ y·x⁻¹ (mod 420)

Multiply through by xy:

x² ≡ y² (mod 420)

Therefore:

(x-y)(x+y) ≡ 0 (mod 420)

──────────────────── HIDDEN VARIABLE z ────────────────────────

Define:

z ≡ x·y⁻¹ (mod 420)

If:

XANDYMIX = YANDXMIX

then:

z ≡ z⁻¹ (mod 420)

so:

z² ≡ 1 (mod 420)

Reduce z independently:

z ≡ ±1 (mod 4)
z ≡ ±1 (mod 3)
z ≡ ±1 (mod 5)
z ≡ ±1 (mod 7)

4 independent ± choices give:

2⁴ = 16 hidden z values

────────────────── 16 HIDDEN z VALUES ─────────────────────────

1 29 41 71
139 169 181 209
211 239 251 281
349 379 391 419

Every value satisfies:

z² ≡ 1 (mod 420)

──────────────────── z RECONSTRUCTION ─────────────────────────

Let:

z₄ = z mod 4
z₃ = z mod 3
z₅ = z mod 5
z₇ = z mod 7

Then:

z ≡ 105z₄ + 280z₃ + 336z₅ + 120z₇ (mod 420)

Once z is known:

x ≡ zy (mod 420)

and because z⁻¹ ≡ z:

y ≡ zx (mod 420)

─────────────────── COMPLETE PAPER METHOD ─────────────────────

A(x,y) = B(x,y)
│
▼
D(x,y) = A(x,y)-B(x,y)
│
▼
┌─────────────────────┐
│ D ≡ 0 (mod 4) │
│ D ≡ 0 (mod 3) │
│ D ≡ 0 (mod 5) │
│ D ≡ 0 (mod 7) │
└─────────────────────┘
│
▼
Find residue pairs:

(x₄,y₄)
(x₃,y₃)
(x₅,y₅)
(x₇,y₇)

│
▼
RECONSTRUCT MOD 420:

x ≡ 105x₄+280x₃+336x₅+120x₇

y ≡ 105y₄+280y₃+336y₅+120y₇

│
▼
Substitute (x,y) back into A(x,y)=B(x,y)

│
▼
CHECK

──────────────────────── RULES ────────────────────────────────

[1] LCM(1,2,3,4,5,6,7) = 420

[2] 420 = 4·3·5·7

[3] Reduce through 4, 3, 5 and 7.

[4] Reconstruct with 105, 280, 336 and 120.

[5] Keep EVERY valid residue branch.

[6] Modular division y⁻¹ requires gcd(y,420)=1.

[7] XANDYMIX = YANDXMIX gives:

x² ≡ y² (mod 420)

[8] With z = x·y⁻¹, the same condition becomes:

z² ≡ 1 (mod 420)

[9] There are 16 such z residues modulo 420.

[10] One equation can produce multiple (x,y) pairs.
It does not automatically determine one unique pair.

[11] Always test the reconstructed pair in the ORIGINAL
equation. Squaring, roots, division and cancellation
can introduce invalid candidates.

────────────────────── SHORT FORM ─────────────────────────────

A = B
↓
D = A-B
↓
REDUCE {4,3,5,7}
↓
FIND (xₘ,yₘ)
↓
RECONSTRUCT WITH
{105,280,336,120}
↓
FIND x,y (mod 420)
↓
FIND z = xy⁻¹
↓
CHECK z² ≡ 1 when using X/Y symmetry
↓
VERIFY ORIGINAL EQUATION

[Onions Gillespie @maxcsmith]

ROMS are on the base chips, it's just meacham is quantitative modular transistors so you don't need that layer, it does everything. It's a backend calculator. Interprets a stack of processes fast. It's the same speed as plusminus.

[Onions Gillespie @maxcsmith]

So long AMD.

[Onions Gillespie @maxcsmith]

The amd base 'modular' array connects to a different arrangement. Intel would be, plus minus, then multiple, then quantum. Amd is just modular array, then quantum modular separate system.

[Onions Gillespie @maxcsmith]

If I put up the xfinity connected apps I meant to take them down. They disconnected the service on non renewal. Land OS. That was all down service. I don't know whose those apps were if I didn't put them up. If there's an outtage it already happened. I am so tired of this. One thing after another. The apps had no options, just put them back up. It's just a signin. There's no archives. It's just internet. It's driving me insane. Put the key on the old one.

[Onions Gillespie @maxcsmith]

@GoodVibe94 Safety of what? Give me any scenario, I'll tell you why you're paranoid. Safety from what? Weed is not manbearpig.

[Onions Gillespie @maxcsmith]

Mystera

Hypnosis music

Day 1 - Non musicians playing Fush Samsara songs perfectly.
Day 2 - Covers played by non musicians
Day 3 - Fecal Neurosis protest played by non musicians
Day 4 - Hair Metal played by non musicians
Day 5 - ???

[Onions Gillespie @maxcsmith]

@dragosroua Malicious objectivism

[Onions Gillespie @maxcsmith]

@vizurantvis 2028. They want regulations but already said it's up to the states to decide. If it was descheduled, the locality could form either laissez faire or moretoriums. And federal land could be used for textiles and oil. Food.

[Onions Gillespie @maxcsmith]

@rabbitholebot I once tested static reads of styrofoam cups as cameras to piss of a nuclear scientist and he ended up taking apart his TV looking for cameras. People were like Charles Manson to him but someone else knew I made a monitor work as a webcam and wanted software

[Onions Gillespie @maxcsmith]

The Great Bodhisattva Vow
Beings are numblerless.
I vow to save them.
Delusions are inexhaustible.
I vow to end them.
Dharma gates are boundless.
I vow to enter them.
The Buddha Way is unsurpassable.
I vow to be it.

[Onions Gillespie @maxcsmith]

If

She smokes
She 420s
She doesn't drink
She doesn't front
She has a job that's not porn
She's not a whore
She's fluent in Spanish
She's crafty
She gets around
She's on it only under one circumstance is if she's blunted but you turn that shit up she gets a man who's on the front wanted.

Would you give her a car, cash, clothes, and weed?

[Onions Gillespie @maxcsmith]

Dice, swagger, swank, dapper, dab, dag, mensch, ice, dope, based, drop.

[Onions Gillespie @maxcsmith]

to be more specific, convicted.

[Onions Gillespie @maxcsmith]

Have you even read Hunter's books?

Is it 3/10 or 7/10? I think it's 3/10. It's just to stop riots.

[Onions Gillespie @maxcsmith]

It means only 3/10 guilty rapists are ever prosecuted in California.

As long as Hunter didn't say it. Fuck you.