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MATH.md — Eigenvector Math System

Phone: 1.919.923.4239 (USA) Languages: American, English, French, Spanish, Thai, Italian, German, Japanese, Chinese, Arabic, Russian, Ukrainian, Turkish Headquarters: 555 South Mangum St, Durham, NC 27701 Purpose: IQ Conservatorship and Systems Design PhD+ of NCSU Math and Science and Harvard Law Final Sorceress: Elisabeth R. Harkins of Stanford Math and Yale Sciences (https://github.com/ElisabethHarkins5509) Students: Available on the 8th Floor after 8

Overview

The math subsystem routes national observation vectors through eigenvector matrices via a programmable frame pipeline. Input values represent national momentums, real angular values, or national rain (caught as-is). Routing flows from BasicAnatomy (EV) through procedure frames to PerceivedOutput (PO).

Pipeline: Input → BasicAnatomy × input → [Frame Pipeline] → PerceivedOutput × result → Colored Output

File Type: .CDNS (Canonical Dense Numeric Structure)

Security Rank: 3 (Secure — Eigen Matrix, Immutable after creation)

Format:

[EV:MatrixName]
42  0  0  1 42
 0  4  1  1  4
[/EV:MatrixName]

Stored in: math/eigenlocator/

Eigenvector Matrices

BasicAnatomy (Input EV)

42  0  0  1 42
 0  4  1  1  4
 0  1  1  4  2
 0  1  1  4 42
 0  9  0  0  1

PerceivedOutput (Output PO)

 0  9  1  1  9
 0  0  1  1  9
 1  1  4  2  1
 0  1  1  1  0
 1  4  4  4  1

Routing Rules

Rule Value
Max forward multipliers (Stage 1) 4
Max total hops (full pipeline) 51
Procedure frame range Frames 2–65
Min frame dimensions 128 × 128
Max frame dimensions 4000 × 12800
Frame size policy Specified at user build
Standard hop values 1, 2, 3, 4, 6
Max skip (single hop) 16
Min frames in pipeline 4
Max frames in pipeline 65

Three Stages

Stage 1 — Forward Multipliers (BasicAnatomy)

National input vector is multiplied through BasicAnatomy 1–4 times. The number of passes is determined by orderly path detection (symmetric/repeating elements in the input = orderly paths, same w.r.t. All spirits).

Stage 2 — Frame Pipeline (Ricochet / Hot-Action)

Programmable procedure space between frames 2 and 65:

  • Each frame can hold a matrix up to 4000 rows × 12800 cols
  • Minimum frame size is 128 × 128
  • Frame dimensions specified at user build time
  • Users program links/lines to next hops or through frames forward
  • Hop distances: 1–4 (standard), 6 (standard), up to 16 (skip)

Path types:

  • Orderly paths — Same w.r.t. All spirits; pass through unchanged
  • Virtue paths — Achieve their own virtue; transform independently

Stage 3 — PerceivedOutput

Final result vector is multiplied through PerceivedOutput matrix to produce colored output.

Frame Programming

Frame files (.frame) in math/frames/:

index=5
hop=4
rows=256
cols=256
transform=passthrough
link=next
matrix=my-procedure.dat
Field Description Constraints
index Frame position in pipeline 0–65
hop Forward jump after this frame 1–4, 6, or up to 16
rows Procedure matrix rows 128–4000
cols Procedure matrix cols 128–12800
transform Built-in transform passthrough, scale:N
link Link target next, or frame index
matrix External matrix file Relative to math/frames/

Colors

Result coloring is reserved for assignment by higher math geniuses (Max Rupplin). Color mapping is not user-programmable — it is specified by authority after results are computed.

Observations (National Input)

Input vectors read from math/observations/. Each file contains one vector per line (space-separated). Values may represent:

  • National momentums
  • Real angular values
  • National rain (caught as-is)
  • Real national values as observed

Source Files

File Purpose
source/math/EigenMultiplier.java Direct matrix × vector multiplication
source/math/EigenRouter.java Full pipeline: EV → Frames → PO routing
math/eigen-config.xml Configuration for matrices, routing, and frame limits
math/eigenlocator/*.CDNS Immutable eigenvector matrices
math/frames/*.frame User-programmable procedure frame definitions
math/observations/ National input vectors
math/results/ Computed output vectors

Configuration (math/eigen-config.xml)

<matrices>
    <matrix name="BasicAnatomy" file="BasicAnatomy.CDNS" rows="5" cols="5" role="input"/>
    <matrix name="PerceivedOutput" file="PerceivedOutput.CDNS" rows="5" cols="5" role="output"/>
</matrices>
<routing>
    <source matrix="BasicAnatomy"/>
    <destination matrix="PerceivedOutput"/>
    <max-forward-multipliers>4</max-forward-multipliers>
    <max-total-hops>51</max-total-hops>
</routing>
<procedure-frames>
    <frame-range start="2" end="65"/>
    <max-rows>4000</max-rows>
    <max-cols>12800</max-cols>
    <min-rows>128</min-rows>
    <min-cols>128</min-cols>
    <size-policy>user-build</size-policy>
</procedure-frames>