Fold 2 - Understanding why coefficient -10227 was selected
Tag: TEXAS INSTRUMENTS
Selected Coefficient: -10227
Taxonomy Path: -3.2.2
Taxonomy Name:
Products with this tag: 10
Unique residual values tried: 8
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? |
|---|---|---|---|---|---|
| 383488 | 8.000000 | 17.5.5.1 | 1.5.5.17 (357911 + 5*71^2 + 5*71 + 17) | No | |
| -10227 | 8.000000 | -3.2.2 | -2.2.3 (-(2*71^2 + 2*71 + 3)) | Yes | |
| 0 | 8.000198 | 0 | 0 (0) | No | |
| -5041 | 8.000198 | -0.0.1 | -1.0.0 (-(5041)) | No | |
| 721035 | 9.000000 | 30.2.1.2 | 2.1.2.30 (2*71^3 + 5041 + 2*71 + 30) | No | |
| 5186 | 9.000000 | 3.2.1 | 1.2.3 (5041 + 2*71 + 3) | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | No |
| 352815 | 9.000000 | 16.70.69 | 69.70.16 (69*71^2 + 70*71 + 16) | No | |
| 388674 | 9.000000 | 20.7.6.1 | 1.6.7.20 (357911 + 6*71^2 + 7*71 + 20) | No |
These are the training products that have the "TEXAS INSTRUMENTS" tag (processing sequence 2232). 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 |
|---|---|---|---|---|---|---|---|
| 4257 | Item020: Silicon Wafer Earrings - Silver, Purple, Rainbow Colors | 721035 | EARRINGS, MICROPROCESSOR, SILICON WAFER, MICROCOMPUTER, RAM | 731262 | none | ||
| 3878 | The Texas Instruments TMS1000 - The First Computer on a Chip | 388674 | MICROPROCESSOR, MICROCOMPUTER | 398901 | none | ||
| 4271 | Ten of The First Microprocessors - Intel 4004, MOS 6502, AMD 2901, Fairchild F8, etc. | 383488 | MICROPROCESSOR, FAIRCHILD, AMD, 4004, MICROCOMPUTER | 393715 | none | ||
| 3889 | The Transistor to Computer Chips - Type A, 2N1613, Micrologic, 3101, Intel 4004, TMS1000 | 383488 | MICROPROCESSOR, FAIRCHILD, GIFT, MICROCOMPUTER, P4004 | 393715 | none | ||
| 4256 | Item017: Silicon Wafer Microprocessor Pendant - Silver & Rainbow Colors, Texas Instruments | 352815 | PENDANT, MICROPROCESSOR, SILICON WAFER, GIFT, MICROCOMPUTER, RAM | 363042 | none | ||
| 3892 | Memory Chips - Different Types - RAM, ROM, Bubble, CCD, Fash, EPROM | 5186 | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | none | 15413 | Business & Industrial > Construction > Raw Structural Components | none |
| 4184 | Memory Chips - The Early RAM Memory 1-bit to 1-Megabit | 0 | FAIRCHILD | 10227 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | MOTOROLA | |
| 3879 | Texas Instruments TMS9900 - First True 16-bit Microprocessor | -5041 | MICROPROCESSOR | 5186 | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | none | |
| 4199 | Logic Chips - Ancestors of the Microprocessor | -10227 | MICROPROCESSOR, FAIRCHILD | 0 | MOTOROLA | ||
| 4268 | Silicon Wafer with Rockwell Microprocessor Chips - 4 inch - Aloha | -10227 | MICROPROCESSOR, SILICON WAFER, PROCESSOR WAFER | 0 | none |