Fold 1 - Understanding why coefficient 13947 was selected
Tag: MICROPROCESSOR
Selected Coefficient: 13947
Taxonomy Path: 3.2.2
Taxonomy Name:
Products with this tag: 58
Unique residual values tried: 12
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? |
|---|---|---|---|---|---|
| 13947 | 29.001308 | 3.2.2 | 2.2.3 (2*83^2 + 2*83 + 3) | Yes | |
| 585734 | 29.001340 | 3.2.2.1 | 1.2.2.3 (571787 + 2*83^2 + 2*83 + 3) | Arts & Entertainment > Hobbies & Creative Arts > Collectibles > Autographs | No |
| 7058 | 29.002903 | 3.2.1 | 1.2.3 (6889 + 2*83 + 3) | No | |
| 0 | 37.000290 | 0 | 0 (0) | No | |
| 6889 | 37.002903 | 0.0.1 | 1.0.0 (6889) | No | |
| -6889 | 37.002903 | -0.0.1 | -1.0.0 (-(6889)) | No | |
| 34944 | 54.000290 | 1.6.5 | 5.6.1 (5*83^2 + 6*83 + 1) | Apparel & Accessories > Jewelry > Charms & Pendants | No |
| 55611 | 54.000290 | 1.6.8 | 8.6.1 (8*83^2 + 6*83 + 1) | No | |
| -4402334 | 57.000000 | -14.3.58.7 | -7.58.3.14 (-(7*83^3 + 58*83^2 + 3*83 + 14)) | No | |
| 423 | 57.000000 | 8.5 | 5.8 (5*83 + 8) | No | |
| -13947 | 57.000000 | -3.2.2 | -2.2.3 (-(2*83^2 + 2*83 + 3)) | No | |
| -34944 | 57.000000 | -1.6.5 | -5.6.1 (-(5*83^2 + 6*83 + 1)) | No |
These are the training products that have the "MICROPROCESSOR" tag (processing sequence 4048). 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 |
|---|---|---|---|---|---|---|---|
| 3846 | The Intel 186 - The Lost Generation, The Lost Microprocessor | 585734 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles > Autographs | none | 571787 | none | |
| 4142 | Item005: AMD Athlon Microprocessor Necklace - Bronze, Gold, Pink Brown | 55611 | none | 41664 | none | ||
| 4144 | Item006: Apple Microprocessor Pendant - PowerPC, Motorola, PowerMac, PPC750 | 55611 | none | 41664 | none | ||
| 4089 | Item038: Silicon Wafer 6502 Microprocessor Pendant - WDC, Mensch | 34944 | Apparel & Accessories > Jewelry > Charms & Pendants | none | 20997 | none | |
| 4086 | Item034: Apple Microprocessor Pendant - PowerPC, IBM, Canada, PPC750 | 34944 | Apparel & Accessories > Jewelry > Charms & Pendants | none | 20997 | none | |
| 4232 | Intel's Other Microprocessors - 3002, 8048, 8051, 80196, i960, i860, StrongARM, XScale | 13947 | none | 0 | none | ||
| 4239 | MOS 6502 Microprocessor - The Hobbyist's Microprocessor - Atari, Apple | 13947 | none | 0 | none | ||
| 3843 | The Intel 8080 - General Purpose Microcomputing | 13947 | none | 0 | none | ||
| 4263 | Silicon Wafer with 6502 Microprocessor Chips - 4 inch, Rockwell, MOS | 13947 | none | 0 | none | ||
| 4245 | Rockwell PPS-4 - Gaming Goes Digital - Gotteib, Pinball, Dragon, 11660EC | 13947 | none | 0 | none | ||
| 4208 | IBM PowerPC 601 Microprocessor - PPC601 | 13947 | none | 0 | none | ||
| 3817 | The Intel 286 - A Virtually Perfect Microprocessor | 13947 | none | 0 | none | ||
| 3870 | Signetics 2650 - The Mini Microprocessor - Powered Early Video Consoles | 13947 | none | 0 | none | ||
| 4227 | Intel Generations - The Fourth Generation, Core i5 to Xeon E | 13947 | none | 0 | none | ||
| 4229 | Intel Mobile Pentium Microprocessor | 13947 | none | 0 | PENTIUM | ||
| 3844 | The Intel 8085 - The Chip That Built a Family | 13947 | none | 0 | none | ||
| 4146 | Leadership, The Components of - Intel 4004, IBM System/360, Pong, and More Great Gift or Award | 13947 | none | 0 | IBM | ||
| 3845 | The Intel 8086/8 - The x86 Dynasty Begins | 13947 | none | 0 | none | ||
| 3858 | The Motorola 14500B Industrial Control Unit - A 1-bit Microprocessor | 13947 | none | 0 | none | ||
| 4272 | The AMD Athlon XP - A Challenger to the Throne | 13947 | none | 0 | none | ||
| 3859 | Motorola 6800 - Microprocessor Robotics - Motorola's First CPU | 13947 | none | 0 | none | ||
| 3815 | The Inmos Transputer Microprocessor - A Design for Parallel Computing | 13947 | none | 0 | none | ||
| 4190 | Microprocessors - 1-bit to 64-bit Generations | 13947 | none | 0 | none | ||
| 4204 | Hybrid Logic Chip | 13947 | none | 0 | none | ||
| 4225 | Intel Generations - The Next Generation - Pentium II to Itanium | 7058 | none | -6889 | PENTIUM | ||
| 4199 | Logic Chips - Ancestors of the Microprocessor | 7058 | none | -6889 | TEXAS INSTRUMENTS | ||
| 3879 | Texas Instruments TMS9900 - First True 16-bit Microprocessor | 7058 | none | -6889 | TEXAS INSTRUMENTS | ||
| 4177 | Intel 4004 - The World's First Microprocessor with Chipset 4001, 4002, 4003 | 7058 | none | -6889 | none | ||
| 3850 | The Microprocessor - Chip Artwork With a Real Computer Chip - Motorola 6808 | 7058 | none | -6889 | CHIP DIE | ||
| 4238 | MOS 6502 Microprocessor | 7058 | none | -6889 | none | ||
| 4270 | Sun SPARC Microprocessor - Scalable Processor ARChitecture | 7058 | none | -6889 | none | ||
| 4228 | Intel Generations - The Third Generation, Xeon MP to i7 | 7058 | none | -6889 | none | ||
| 3868 | The Pong Chip - General Instruments Ball and Paddle AY-3-8500 | 7058 | none | -6889 | none | ||
| 4251 | Silicon Wafer - Computer Chip Art - Star Trek, USS Enterprise, Hitchcock, Microprocessor, Rockwell, 4 Inch | 6889 | MAKING COMPUTER CHIPS | -7058 | none | ||
| 4188 | Rare Collection of Four 6502 Family Silicon Wafers - 6502 CPU, 6521 PIA, 6549 CVDG, 6551 ACIA/UART - 4",MOS,Rockwell | 423 | none | -13524 | none | ||
| 4219 | Intel 4004 - The World's First Microprocessor - P4004, Portrait | 0 | FIRST OF A KIND | -13947 | none | ||
| 3865 | The National Semiconductor 4004 - First Microprocessor Clone | 0 | FIRST OF A KIND | -13947 | none | ||
| 3869 | The RCA 1802 - Microprocessors in Space | 0 | FIRST OF A KIND | -13947 | none | ||
| 3878 | The Texas Instruments TMS1000 - The First Computer on a Chip | 0 | FIRST OF A KIND | -13947 | TEXAS INSTRUMENTS | ||
| 3889 | The Transistor to Computer Chips - Type A, 2N1613, Micrologic, 3101, Intel 4004, TMS1000 | 0 | FIRST OF A KIND | -13947 | TEXAS INSTRUMENTS | ||
| 4149 | IBM System/360 Processor Card | 0 | FIRST OF A KIND | -13947 | IBM | ||
| 4152 | ChipScapes Set #12: Art with Chips, Series 2 (3 Ornaments) | 0 | ORNAMENT | -13947 | SAMSUNG | ||
| 4153 | ChipScapes Set #1: Art with Computer Chips (3 Ornaments) | 0 | ORNAMENT | -13947 | none | ||
| 4154 | ChipScapes Set #2: Flip Chips - AMD, IBM, and S3 (3 Ornaments) | 0 | ORNAMENT | -13947 | IBM | ||
| 4175 | Intel 4004 - The World's First Microprocessor - ChipScape Artwork - 50th Anniversary | 0 | FIRST OF A KIND | -13947 | none | ||
| 4185 | Microprocessors - The Early MPUs - 4004, 6502, 6800, Z80, TMS1000, 1802, and 2901 | 0 | FIRST OF A KIND | -13947 | TEXAS INSTRUMENTS | ||
| 4215 | Intel 4004 - The World's First Microprocessor | 0 | FIRST OF A KIND | -13947 | none | ||
| 3814 | The IBM PowerPC - IBM's Microprocessor Revolution | 0 | FIRST OF A KIND | -13947 | IBM | ||
| 4224 | Intel 8087 - The X86 Floating Point Processor | 0 | FIRST OF A KIND | -13947 | none | ||
| 4240 | NEC µPD751 - The 4th Microprocessor, Japan's 1st - 751, D751C, uPD751C | 0 | FIRST OF A KIND | -13947 | none | ||
| 4255 | Silicon Wafer with Microprocessor Chips - 6 inch | 0 | 150MM | -13947 | TEXAS INSTRUMENTS | ||
| 4266 | Silicon Wafer with DS83C950 Security Processors - 6 inch, Cyptographic, Java Ring, iButton, DS1954 | 0 | 150MM | -13947 | none | ||
| 4268 | Silicon Wafer with Rockwell Microprocessor Chips - 4 inch - Aloha | 0 | 150MM | -13947 | TEXAS INSTRUMENTS | ||
| 4271 | Ten of The First Microprocessors - Intel 4004, MOS 6502, AMD 2901, Fairchild F8, etc. | 0 | 4004 | -13947 | TEXAS INSTRUMENTS | ||
| 4241 | NEC µPD751 - The 4th Microprocessor, Japan's 1st - 751, D751D, uPD751D | -6889 | FIRST OF A KIND | -20836 | none | ||
| 4231 | Intel's First Chips - Chips that Changed the World - The 4004, 8008, 8080, 3101 & 1702 | -13947 | FIRST OF A KIND, 4004 | -27894 | none | ||
| 4257 | Item020: Silicon Wafer Earrings - Silver, Purple, Rainbow Colors | -34944 | EARRINGS, ROM | -48891 | TEXAS INSTRUMENTS | ||
| 4159 | ChipScapes Set #7: Mixed Types - Silicon Wafer Computer Chips (3 Ornaments) | -4402334 | CRYPTO, ORNAMENT | -4416281 | none |