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Author

Yuuki Yamagishi

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#small language model Open access Sep 2026

The Wind on a Sail and the Apparent Place of a Star Are One and the Same Formula ── the formula that turns a boat-to-wind ratio into an apparent wind gives an aberration of 20.492653 arcseconds when fed the Earth's beta=9.935118x10^-5 ── the two formulas part at beta=0.5, where they differ by 3.4349 degrees ── [Paper 524]

The apparent wind of a sailing craft and the aberration of starlight are taught as separate matters. What this paper shows is that at low speed they are one and the same function, and that they part only where the rule for composing velocities changes. No new theorem or law is claimed. Scope of this paper (scope note):...

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

理容所と美容所 ── 1店あたり2人、そして高齢化した県ほど理容所が多い

理容所・美容所の数を、衛生行政報告例(令和6年度末、厚生労働省)と経済センサス(令和3年、産業小分類782・783)で数え、都道府県ごとに比べた。 数は合わない。理容所は107,995対86,476(+24.9%)、美容所は277,752対161,280(+72.2%)。衛生行政報告例は許可を受けた施設、経済センサスは事業所である。 1店あたりの従業者は2人前後。理容所は1.80...

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

The Multiplier of a Bollinger Band Changes How Often Price Leaves It, Not Which Way Price Goes: The Count Falls Thirtyfold While the Standard 2.0 Is Best in Only One of Eight Cases [F003]

ボリンジャーバンドには「何σにするか」という選び方がある。倍率を動かすと何が動いて何が動かないのかを、ティックデータで測った。 四銘柄(USDJPY・EURUSD・GBPUSD・XAUUSD)の2019年から2024年までの1時間足で、「上のバンドより上なら買い、下のバンドより下なら売り」を信号にし、一期間ぶん先までの値動きとの符号つきの平均(単位 pips)を...

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

The Wind on a Sail and the Apparent Place of a Star Are One and the Same Formula ── the formula that turns a boat-to-wind ratio into an apparent wind gives an aberration of 20.492653 arcseconds when fed the Earth's beta=9.935118x10^-5 ── the two formulas part at beta=0.5, where they differ by 3.4349 degrees ── [Paper 524]

The apparent wind of a sailing craft and the aberration of starlight are taught as separate matters. What this paper shows is that at low speed they are one and the same function, and that they part only where the rule for composing velocities changes. No new theorem or law is claimed. Scope of this paper (scope note):...

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

The Period a Moving-Average Crossover Finds Is Made by the Ratio of the Two Periods: Holding the Ratio Fixed and Multiplying Both Periods by Eight Moves the Normalised Interval Only from 0.650 to 0.653 [F001]

二本の移動平均のクロスについて「この組み合わせは約N本の波を捉えている」と言われることがある。そのNを決めているのが相場なのか、二本の期間の選び方なのかを、ティックデータで測った。 四銘柄(USDJPY・EURUSD・GBPUSD・XAUUSD)の2019年から2024年までの1時間足で、連続するクロスの間隔の中央値を、三つの族について測った。比を4.0に固...

Yuuki Yamagishi · 0 citations
#edge computing Open access Sep 2026

Adding One Chord Destroys Only the Property That Has a Local Certificate ── Add one chord to a hexagon and 2 vertices acquire odd degree, so the Euler circuit vanishes ── yet the number of Hamiltonian cycles stays at 2 ── [Paper 508]

Tracing every edge and visiting every vertex are taken to be two forms of one problem. This paper shows that adding one and the same edge destroys only one of them──one has a certificate at each vertex and the other has none. No new theorem or law is claimed. Scope of this paper (scope note): No new theorem or law is c...

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

The Blue of the Sky Returns the Same Number With or Without Molecules, and the Formula Without Them Diverges at the Critical Point ── for air at 550 nm, Rayleigh's formula with independent molecules and Einstein's formula written with density fluctuations alone both return an attenuation coefficient of 1.039926×10⁻⁵ per metre, and the formula without molecules returns their number through kT κ_T; in water the two routes split by a factor 0.096418, and at the critical point the fluctuation formula diverges as 4(1+ε)/(9ε) ── the separator is whether what scatters is counted as molecules or as fluctuations ── [Paper 1023]

The sky is blue because air scatters short wavelengths more strongly. Rayleigh (1899) counted this with molecules placed as independent scatterers; Einstein (1910) wrote the same phenomenon without molecules, from density fluctuations and the isothermal compressibility alone. This paper counts that the two formulas ret...

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

The Blue of the Sky Returns the Same Number With or Without Molecules, and the Formula Without Them Diverges at the Critical Point ── for air at 550 nm, Rayleigh's formula with independent molecules and Einstein's formula written with density fluctuations alone both return an attenuation coefficient of 1.039926×10⁻⁵ per metre, and the formula without molecules returns their number through kT κ_T; in water the two routes split by a factor 0.096418, and at the critical point the fluctuation formula diverges as 4(1+ε)/(9ε) ── the separator is whether what scatters is counted as molecules or as fluctuations ── [Paper 1023]

The sky is blue because air scatters short wavelengths more strongly. Rayleigh (1899) counted this with molecules placed as independent scatterers; Einstein (1910) wrote the same phenomenon without molecules, from density fluctuations and the isothermal compressibility alone. This paper counts that the two formulas ret...

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

Inside the Sun Light Advances on a Clock of Length Squared, and Outside on a Clock of Length ── The ratio of the two clocks is how many mean free paths fit in the radius, 3.315810917 times 10 to the 10, and the number of years moves by orders of magnitude with the mean free path while the exponent 2 does not ── the separator is whether the step length is taken fixed or exponentially distributed ── [Paper 1048]

Light crosses the radius of the Sun in 2.3 seconds. Yet to seep out from within takes incomparably longer. This paper counts the two as clocks of different dimension. No new theorem and no new law is claimed. Scope of this paper (scope note): No new theorem and no new law is claimed──the square law of the random walk,...

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

Inside the Sun Light Advances on a Clock of Length Squared, and Outside on a Clock of Length ── The ratio of the two clocks is how many mean free paths fit in the radius, 3.315810917 times 10 to the 10, and the number of years moves by orders of magnitude with the mean free path while the exponent 2 does not ── the separator is whether the step length is taken fixed or exponentially distributed ── [Paper 1048]

Light crosses the radius of the Sun in 2.3 seconds. Yet to seep out from within takes incomparably longer. This paper counts the two as clocks of different dimension. No new theorem and no new law is claimed. Scope of this paper (scope note): No new theorem and no new law is claimed──the square law of the random walk,...

Yuuki Yamagishi · 0 citations
#large language models Open access Sep 2026

Longitudinal and Transverse Belong to the Field; x and y Belong to the Coordinates ── rotating the coordinates leaves the longitudinal share at 0.647222222222 without moving a digit, while the x share moves with every rotation ── both are called "splitting the field in two", and only one of them belongs to the field ── [Paper 517]

There are many ways to split a vector field in two. What this paper shows is that which of them belongs to the field and which to the coordinates can be measured by rotating the coordinates. No new theorem or law is claimed. Scope of this paper (scope note): No new theorem or law is claimed──the Helmholtz decomposition...

Yuuki Yamagishi · 0 citations
#large language models Open access Sep 2026

Light Is Gathered by a Gravitational Lens, Yet the Curvature of the Geometry It Travels In Is Negative ── The deflection is the curvature integrated over the region outside the ray, by the Gauss-Bonnet theorem: tracing the ray gives 4.011823809924e−3 and the outside integral 4.000000000000e−3. Integrating inside diverges ── the separator is whether the region lies inside or outside the ray ── [Paper 1044]

Gravity bends light and gathers it as a lens does. Yet measure the curvature of the very geometry that light travels in, and it is negative. This paper counts that discrepancy as a difference in the region of integration. No new theorem and no new law is claimed. Scope of this paper (scope note): No new theorem and no...

Yuuki Yamagishi · 0 citations

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