Fold 3 - Understanding why coefficient 7058 was selected
Tag: FAIRCHILD
Selected Coefficient: 7058
Taxonomy Path: 3.2.1
Taxonomy Name:
Products with this tag: 8
Unique residual values tried: 4
The algorithm tries each unique residual value as a candidate coefficient and selects the one with the lowest total p-adic loss. The selected row is highlighted.
| Candidate Value | Total P-adic Loss | Taxonomy Path | P-adic Expansion | Taxonomy Name | Selected? |
|---|---|---|---|---|---|
| 7058 | 4.000002 | 3.2.1 | 1.2.3 (6889 + 2*83 + 3) | Yes | |
| 1150632 | 4.000005 | 3.2.1.2 | 2.1.2.3 (2*83^3 + 6889 + 2*83 + 3) | No | |
| 0 | 5.000000 | 0 | 0 (0) | No | |
| -13947 | 7.000000 | -3.2.2 | -2.2.3 (-(2*83^2 + 2*83 + 3)) | No |
These are the training products that have the "FAIRCHILD" tag (processing sequence 4533). The residual is the encoded taxonomy value minus all coefficients from previously processed tags.
| Product ID | Title | Residual Before | Taxonomy Before | Tags Already Processed | Residual After | Taxonomy After | Tags Not Yet Processed |
|---|---|---|---|---|---|---|---|
| 4267 | Silicon Wafer with Early Bipolar Transistors - 1 inch, 30mm, Planar, Fairchild? | 1150632 | none | 1143574 | none | ||
| 4184 | Memory Chips - The Early RAM Memory 1-bit to 1-Megabit | 7058 | none | 0 | none | ||
| 4199 | Logic Chips - Ancestors of the Microprocessor | 7058 | none | 0 | none | ||
| 4176 | Game Cartridge Technology - Icons of the 20th Century - Perfect for the Game Room | 7058 | GAMER, GAMING | 0 | none | ||
| 3889 | The Transistor to Computer Chips - Type A, 2N1613, Micrologic, 3101, Intel 4004, TMS1000 | 0 | FIRST OF A KIND | -7058 | none | ||
| 4140 | 1976 Fairchild Channel F Videocart - The First Game Cartridge | 0 | FIRST OF A KIND, GAMER, GAMING | -7058 | none | ||
| 4141 | 1978 Atari 2600 Space War - A Descendant of 1962 Spacewars! | 0 | FIRST OF A KIND, GAMER, GAMING | -7058 | none | ||
| 4271 | Ten of The First Microprocessors - Intel 4004, MOS 6502, AMD 2901, Fairchild F8, etc. | -13947 | 4004, MOS | -21005 | none |