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Sponsored AI Networking Cookbook: Practical recipes for AI-assisted network automation and development AI Networking Cookbook: Practical recipes for AI-assisted network automation and development

Author

Yuuki Yamagishi

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#edge computing Open access Sep 2026

There Are Two Kinds of Exactness: One Is Set by the Units, the Other Is Unmoved by Continuous Deformation ── The quantum Hall resistance is the product of the two, and the fine-structure constant can be neither, so it runs ── the separator is whether a quantity has a dimension, is an integer, or is neither ── [Paper 1058]

Paper 1056 and Paper 1057 measured that the fine-structure constant does not move with the units but moves with energy, and why it stops at low energy. Why, then, is there a quantity built from the same charge and the same Planck constant that does not move at all? This paper answers that. No new theorem or law is clai...

Yuuki Yamagishi · 0 citations
#explainable ai Open access Sep 2026

One Word, "Resonance", Names Both the Places That Expel Bodies and the Places That Protect Them ── against Jupiter the 3:1, 5:2, 7:3 and 2:1 orbits are all empty gaps, yet 3:2 holds the Hilda group and 1:1 the Trojans ── the separator is whether a protecting mechanism operates ── [Paper 687]

Gaps are explained by resonance. The protection of bodies is explained by resonance too. That one commensurability carries opposite consequences is set out here in distances. No new theorem or law is claimed. Scope of this paper (scope note): No new theorem or law is claimed──the Kirkwood gaps, the Hilda and Trojan gro...

Yuuki Yamagishi · 0 citations
#explainable ai Open access Sep 2026

A Number That Barely Moves Across Three Decades of Reynolds Number Sets the Frequency ── the Strouhal number moves by only 1.268766 across a thousandfold change in Reynolds number, so the shedding frequency follows U/D ── yet at one and the same Reynolds number of 6667 the frequency is 200.00 Hz in one case and 2.00 Hz in another ── [Paper 543]

The shedding frequency behind a cylinder follows from flow speed and diameter. What this paper shows is that the dimensionless combination of the two barely moves across three decades of Reynolds number, and that this is what makes the formula for frequency simple. No new theorem or law is claimed. Scope of this paper...

Yuuki Yamagishi · 0 citations
#explainable ai Open access Sep 2026

The Card People Pick Second Most Often Carries Exactly Zero Information ── Taking the rule "if p then q" with a prior of 0.5, the two cards that can falsify it (p and not-q) carry 0.311278 bits each, while the other two (q and not-p) carry exactly 0.000000000 ── the separator is whether a card can falsify the rule ── [Paper 699]

In the Wason selection task the second card people turn is the consequent of the rule itself. Whatever is on its back, it cannot contradict the rule. What each chosen card carries is counted here in bits. No new theorem or law is claimed. Scope of this paper (scope note): No new theorem or law is claimed──the Wason sel...

Yuuki Yamagishi · 0 citations
#explainable ai Open access Sep 2026

The Speed of Light Is Near Three Hundred Million Because Length Is Decimal and Time Is Sexagesimal ── Perfecting the survey moves c further from three hundred million, and decimal time destroys the nearness ── the separator is whether the digits move when the units are changed ── [Paper 1055]

The speed of light is 299792458 m/s. This paper asks what is recorded by a figure that falls 207542 short of 3x10^8. No new theorem and no new law is claimed. Scope of this paper (scope note): No new theorem and no new law is claimed──that the metre was designed from the meridian, that the speed of light has been a def...

Yuuki Yamagishi · 0 citations
#explainable ai Open access Sep 2026

The Fine-Structure Constant Does Not Move with the Units, but It Moves with Energy ── A factor of 4π sits in its formula and leaves no trace in the value, and whether a formula in π gives 137 is decided by how loose a tolerance is allowed ── the separator is whether the number moves when the units change or when the energy changes ── [Paper 1056]

Paper 1055 divided numbers by whether they move when the units are changed──those that move record the history of the units, and those that do not record the world. This paper measures that the fine-structure constant falls into neither box. No new theorem and no new law is claimed. Scope of this paper (scope note): No...

Yuuki Yamagishi · 0 citations
#diffusion models Open access Sep 2026

Hearing Shape from Spectrum ── Connes' Non-Commutative Geometry, Kac's Inverse Spectral Problem, and the Highway Linking Geometry and Inverse Problems ── [Paper 102]

Two lineages run through the corpus ── the geometric mainstream (Riemann → … → Hopf, Paper 91) and the integral-brain / inverse problem (reading the cause from the effect, Papers 89 and 99). This paper links the two, for the first time, by a single road. The key is the question "can shape be heard from the spectrum (th...

Yuuki Yamagishi · 0 citations
#diffusion models Open access Sep 2026

Under the One Word Dyeing Live an Expression with a Ceiling and One Without, Indistinguishable When Dilute ── In the site-filling kind the number of sites is a ceiling, so even at a concentration of 1000 the occupancy is 0.999500 and never exceeds one ── the separator is whether the dye's destination is a finite set of sites or a volume ── [Paper 721]

A dye entering a fibre and settling there is called dyeing. Beneath that word lie two mechanisms: one that saturates and one that takes in as much as offered. That the two diverge at high concentration and coincide at low is shown in numbers. No new theorem or law is claimed. Scope of this paper (scope note): No new th...

Yuuki Yamagishi · 0 citations
#diffusion models Open access Sep 2026

A Load That Cannot Break a Part Breaks It Given Time: the Temperature of Creep Is Measured Against the Melting Point ── at high temperature, a load below the threshold keeps stretching a part over time until it breaks (creep) ── the separator is not whether a threshold was crossed but whether time has accumulated, and not the temperature itself but the temperature divided by the melting point ── [Paper 659]

The strength of a part is usually stated as a threshold: "it will not break below this stress". Time does not enter it. But at high temperature, even under a load below the threshold, a part keeps stretching slowly and eventually breaks. This is called creep. How time, temperature and stress act in creep is counted. No...

Yuuki Yamagishi · 0 citations
#diffusion models Open access Sep 2026

Tempering Can Trade Time for Temperature, but Quenching Cannot: Only Changes That Need Diffusion Can Make the Trade ── By the Hollomon--Jaffe equation, tempering steel at 500 °C for 1 hour can be replaced by 477.4060 °C for 4 hours (22.5940 °C lower) ── the separator is whether the change needs diffusion ── [Paper 658]

Steel is hardened by cooling it suddenly from high temperature (quenching), then reheated at a moderate temperature to restore toughness (tempering). In the workshop it is said that "if you lower the temperature, just take longer", but that holds only for tempering. The relation between time and temperature is counted...

Yuuki Yamagishi · 0 citations
#diffusion models Open access Sep 2026

The Same Stripes, Cut by a Clock and a Front in Somites and by Diffusion in Turing Patterns ── Turing stripes become 2.000000 times wider when diffusion is made 4 times faster, but only 1.001460 times wider when the front is made 2 times faster and 1.083212 times when 4 times faster ── the separator is what must be moved to move the width of the stripes ── [Paper 648]

Living bodies carry stripes that repeat at the same width: the somites that become the backbone, and the patterns on animal skins. Two models of how stripes form are known. In one, a front receding along the body copies the time kept by a clock inside each cell onto a width in space (the clock-and-wavefront model); in...

Yuuki Yamagishi · 0 citations
#diffusion models Open access Sep 2026

Hearing Shape from Spectrum ── Connes' Non-Commutative Geometry, Kac's Inverse Spectral Problem, and the Highway Linking Geometry and Inverse Problems ── [Paper 102]

Two lineages run through the corpus ── the geometric mainstream (Riemann → … → Hopf, Paper 91) and the integral-brain / inverse problem (reading the cause from the effect, Papers 89 and 99). This paper links the two, for the first time, by a single road. The key is the question "can shape be heard from the spectrum (th...

Yuuki Yamagishi · 0 citations

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