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small language model

3,468 papers

#small language model Open access Sep 2026

A Tsunami Slows as the Water Shallows, and Its Height Grows as the Inverse Fourth Root of the Depth ── A tsunami travelling at 198.057062 m/s (713 km/h) over 4000 m of water slows to 9.902853 m/s in 10 m ── solving the linear shallow-water equations numerically agrees on the slope to within 1.6 per cent ── [Paper 616]

How the speed of an ocean wave is set changes according to whether its wavelength is much longer or much shorter than the depth. The speed of a tsunami and the growth of its height in shallow water are obtained by two routes, formula and numerical computation. No new theorem or law is claimed. Scope of this paper (scop...

Yuuki Yamagishi · 0 citations
#small language model Open access Sep 2026

c as the Ball of Velocity Space ── 2nd ed.: This Was a Result About c, Not About 4 pi (the Yamagishi Patch and Thomas Precession) ── [Paper 60]

c as the Ball of Velocity Space — second edition: this was a result about c, not about four pi. In special relativity the set of admissible velocities is a ball of radius c, and under the metric induced by the velocity-addition law it is hyperbolic space of curvature minus one over c squared (Varicak 1910). Here the re...

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

Topological and Geometric Native Coding for Higher Dimensional Programming

Abstract This record contains the comprehensive monograph, "Topological and Geometric Native Coding for Higher Dimensional Programming" by Elias Oulad Brahim (September 2026). The research introduces ToposLang and the novel paradigm of Geometric Native Coding (GNC), which challenges the structural limitations of the cl...

Elias Oulad Brahim · 0 citations
#small language model Review Open access Sep 2026

Comparative Evaluation of Large Language Models in Responding to Common Misconceptions Regarding Periodontal Disease and Oral Hygiene

emporary LLMs provide uniformly accurate and clinically safe responses to patient-focused periodontal misconceptions, with scores consistently concentrated at the ceiling, however, absolute readability metrics demonstrate that AI-generated outputs consistently exceed standard public health literacy comprehension levels...

İsmail Gül, Resül Çolak, Merve Küçükoğlu Çolak et al. · 0 citations
#small language model Open access Sep 2026

What a Power System's Inertia Sets Is How Deep the Frequency Sinks, Not Where It Settles ── quadrupling inertia makes the frequency nadir only 1.745117 times shallower, and all cases settle at -0.238095 Hz, set only by governor droop and load frequency sensitivity ── the separator is whether one asks about the nadir on the way or the settling point ── [Paper 789]

It is said that the smaller a power system's inertia (the weight of its spinning generators), the further the frequency drops when generation trips. With a simple one-area model, the initial fall, the nadir on the way and the settling point after a trip are counted while inertia is varied. No new theorem or law is clai...

Yuuki Yamagishi · 0 citations
#small language model Open access Sep 2026

Firing Shrinkage Has Two Values Depending on the Denominator, and Volume Shrinkage Is Not Three Times the Linear ── linear shrinkage is 0.150868 on the green size and 0.177674 on the fired size, and a 100 mm fired part needs a 117.767361 mm mould ── the separator is whether shrinkage is measured against the green size or the fired size ── [Paper 754]

Ceramics shrink on firing, and the shrinkage is often quoted as a single "shrinkage" figure. What that figure is divided by, how volume and length differ, and how density scatter appears in size are counted. No new theorem or law is claimed. Scope of this paper (scope note): No new theorem or law is claimed──that sinte...

Yuuki Yamagishi · 0 citations
#small language model Open access Sep 2026

Radar Range Resolution Comes from Bandwidth, Velocity Resolution from Time, and a One-Wrap Velocity Error Shifts Range One Cell ── with 1 GHz of bandwidth the range resolution is c/2B=0.149896 m, and 30 m/s wrapping to -8.935373 m/s shifts the corrected range by 1.000033 range resolutions ── the separator is whether the velocity has been mistaken by one wrap ── [Paper 802]

A continuous-wave radar that sweeps its frequency measures a target's range and velocity with one device. What sets the range resolution, the velocity resolution and the velocity limit is laid out, and it is counted how range and velocity mix within one chirp and what happens to the range reading when the velocity exce...

Yuuki Yamagishi · 0 citations
#small language model Open access Sep 2026

The Earliest Sunset Comes Half a Month Before the Winter Solstice: the Gap Between Sundial and Clock Is the Sum of Two Causes ── the equation of time is the sum of an eccentricity part (amplitude 7.6550 minutes) and an obliquity part (amplitude 9.8664 minutes) ── changing by 0.4975 minutes a day around the winter solstice, it brings the earliest sunset at latitude 35.7 degrees north 15.61 days before the solstice ── [Paper 596]

The earliest sunset of the year is easily taken to fall on the winter solstice, the shortest day. What this paper shows is that the gap between sundial and clock (the equation of time) is the sum of two causes, the eccentricity of the orbit and the tilt of the ecliptic, and that around the solstice it changes by about...

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

Condensation Happens Without Any Attraction: What Decides Is the Wavelength Overtaking the Spacing ── the condensation temperature of an ideal Bose gas contains only constants, the mass and the number density, with no interparticle potential at all ── the separator is whether switching off the interaction makes it disappear ── [Paper 663]

It is natural to think that a phase changes because particles attract one another. But the condensation of bosons happens without any attraction at all. The condensation temperature of an ideal Bose gas is computed in three cases, and what fixes that temperature is examined. No new theorem or law is claimed. Scope of t...

Yuuki Yamagishi · 0 citations
#small language model Open access Sep 2026

Errors Not Yet Found Can Be Counted from Two Readers' Overlap, but Come Out Too Few If Both Miss the Same Ones ── If two readers find 20 and 25 errors with 10 in common, the total is estimated at 50.000000 and the errors not yet found at 15.000000 ── if the readers' blind spots are opposite, 27 are reported as 155.571429 ── [Paper 585]

One way to estimate how many errors remain in a manuscript is to have two people read it separately and use the overlap of what they found. What this paper shows is that the estimate is right only when the two readers' misses are unrelated; if they miss the same errors it comes out too few, if they miss opposite ones t...

Yuuki Yamagishi · 0 citations
#small language model Dataset Open access Sep 2026

A convergence model of bioelectric, gap-junctional, and Hippo-YAP signalling in oral cancer stem cell maintenance knowledge graph: evidence-tiered snapshot and pipeline (2026-09-28)

Evidence-tiered knowledge graph of the proposed convergence between bioelectric signalling, gap-junctional communication and Hippo-YAP signalling in oral cancer stem cells, together with the pipeline that builds it and the complete validation record. WHAT THIS IS A narrative review proposes a mechanistic model. A model...

Surendra Kumar Acharya, Yee Fan Choon, Yee Wen Choon · 0 citations
#small language model Open access Sep 2026

The Number of Ways to Place Non-Attacking Queens Does Not Always Grow with the Board ── Place n queens on an nx n board so that none attacks another along a row, column or diagonal ── 12x12 has 14200 ── [Paper 624]

A chess queen moves any distance along rows, columns and diagonals. The ways to place n queens on an nx n board with no two attacking each other are counted (the n-queens problem). No new theorem or law is claimed. Scope of this paper (scope note): No new theorem or law is claimed──the 92 placements of eight queens and...

Yuuki Yamagishi · 0 citations

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