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Author

Yuuki Yamagishi

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321 papers indexed here

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#edge computing Open access Sep 2026

The Edge of the Solar System Is Five Edges, and the Innermost and Outermost Differ by a Factor of 5106 ── From the Kuiper Belt's Outer Rim at 50 AU to a Hill Radius of 255302 AU (1.237738 pc) ── And the Sun's Gravitational Domain Reaches 95.07 Per Cent of the Way to the Nearest Star ── [Paper 337]

A spacecraft is reported to have “left the solar system”. This paper asks which edge it left──the answer is that there are five edges, and it was the second from the inside. No new mathematical theorem and no new law is claimed. Scope of this paper (scope note): No new mathematical theorem and no new law is claimed──th...

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

The Edge of the Solar System Is Five Edges, and the Innermost and Outermost Differ by a Factor of 5106 ── From the Kuiper Belt's Outer Rim at 50 AU to a Hill Radius of 255302 AU (1.237738 pc) ── And the Sun's Gravitational Domain Reaches 95.07 Per Cent of the Way to the Nearest Star ── [Paper 337]

A spacecraft is reported to have “left the solar system”. This paper asks which edge it left──the answer is that there are five edges, and it was the second from the inside. No new mathematical theorem and no new law is claimed. Scope of this paper (scope note): No new mathematical theorem and no new law is claimed──th...

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

A Comet's Tail Is Not One Tail but Two, Pulled by Different Forces ── Radiation Pressure Balances Gravity at a Grain Radius of 0.2296 μm ── The Ion Tail Leans Only 5.7106 Degrees in the Solar Wind, While the Dust Tail Fans Out by Grain Size ── [Paper 339]

A comet trails its tail away from the Sun. This paper asks whether that tail is one thing──the answer is that there are two, and the forces pulling them are different. No new mathematical theorem and no new law is claimed. Scope of this paper (scope note): No new mathematical theorem and no new law is claimed──the rati...

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

One and the Same log_2 Counts a Ratio in One Law and Items in the Other ── Fitts's Law Stays at 4.3219 When D and W Are Scaled Together ── Hick's Law Turns 32 Times the Choices into Only 2.7333 Times the Time ── [Paper 345]

Fitts’s law and Hick’s law both say that time goes as log_2. This paper asks whether they are saying the same thing──the answer is that what is inside the log_2 differs: a dimensionless ratio in one, a count in the other. No new mathematical theorem and no new law is claimed. Scope of this paper (scope note): No new ma...

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

The Size of the Hole Is Not in the Stress Concentration ── Two Elliptical Holes Differing 10000-Fold in Area Carry the Same K_t=21.0 ── What Enters Is the Sharpness a/b Alone: 3.0 for a Circular Hole and 201.0 at a/b=100 ── [Paper 343]

Cut a hole in a plate and the stress rises at its edge. This paper asks what decides how far it rises──the answer is not the size of the hole but only its sharpness. No new mathematical theorem and no new law is claimed. Scope of this paper (scope note): No new mathematical theorem and no new law is claimed──Inglis’s s...

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

Same Atomic Number, Same Charge, Same Electrons: Change Only the Mass and the Rate Moves Sevenfold ── The C--H to C--D frequency ratio is 0.734230, which is not 1/sqrt(2)=0.707107 ── A zero-point difference of 4.7690 kJ/mol makes k_H/k_D=6.8468 at room temperature ── [Paper 341]

Replace hydrogen with deuterium and a reaction rate changes. This paper asks why changing only the mass moves the rate──the answer is that the energy of standing still is set by the mass. No new mathematical theorem and no new law is claimed. Scope of this paper (scope note): No new mathematical theorem and no new law...

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

Strength Is a Function of Volume, Not a Constant of the Material ── Multiply the Volume by 1000 and a Material of Scatter m=2 Falls to 0.0316 of Its Strength ── The Volume Factor That Halves the Strength Is Exactly 2^m: 4 at m=2 and 1048576 at m=20 ── [Paper 344]

The strength of a material appears in handbooks as one number. This paper asks what number that is──the answer is a number that means nothing unless the specimen volume is written beside it. No new mathematical theorem and no new law is claimed. Scope of this paper (scope note): No new mathematical theorem and no new l...

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

That the Condition Number Squares Is an Identity, Not an Approximation ── Half the Significant Digits Are Gone the Moment A^->p A Is Formed ── For the 8x8 Hilbert Matrix the Digits Remaining Are -4.4124, Which Is to Say None ── [Paper 330]

A least-squares problem is often rewritten as A^->p A x=A^->p b before being solved. This paper asks what that rewriting costs──the answer is exactly half the significant digits, and they are lost as an identity rather than as an approximation. No new mathematical theorem and no new law is claimed. Scope of this paper...

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

The Size of the Hole Is Not in the Stress Concentration ── Two Elliptical Holes Differing 10000-Fold in Area Carry the Same K_t=21.0 ── What Enters Is the Sharpness a/b Alone: 3.0 for a Circular Hole and 201.0 at a/b=100 ── [Paper 343]

Cut a hole in a plate and the stress rises at its edge. This paper asks what decides how far it rises──the answer is not the size of the hole but only its sharpness. No new mathematical theorem and no new law is claimed. Scope of this paper (scope note): No new mathematical theorem and no new law is claimed──Inglis’s s...

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

That the Condition Number Squares Is an Identity, Not an Approximation ── Half the Significant Digits Are Gone the Moment A^->p A Is Formed ── For the 8x8 Hilbert Matrix the Digits Remaining Are -4.4124, Which Is to Say None ── [Paper 330]

A least-squares problem is often rewritten as A^->p A x=A^->p b before being solved. This paper asks what that rewriting costs──the answer is exactly half the significant digits, and they are lost as an identity rather than as an approximation. No new mathematical theorem and no new law is claimed. Scope of this paper...

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

One and the Same log_2 Counts a Ratio in One Law and Items in the Other ── Fitts's Law Stays at 4.3219 When D and W Are Scaled Together ── Hick's Law Turns 32 Times the Choices into Only 2.7333 Times the Time ── [Paper 345]

Fitts’s law and Hick’s law both say that time goes as log_2. This paper asks whether they are saying the same thing──the answer is that what is inside the log_2 differs: a dimensionless ratio in one, a count in the other. No new mathematical theorem and no new law is claimed. Scope of this paper (scope note): No new ma...

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

Same Atomic Number, Same Charge, Same Electrons: Change Only the Mass and the Rate Moves Sevenfold ── The C--H to C--D frequency ratio is 0.734230, which is not 1/sqrt(2)=0.707107 ── A zero-point difference of 4.7690 kJ/mol makes k_H/k_D=6.8468 at room temperature ── [Paper 341]

Replace hydrogen with deuterium and a reaction rate changes. This paper asks why changing only the mass moves the rate──the answer is that the energy of standing still is set by the mass. No new mathematical theorem and no new law is claimed. Scope of this paper (scope note): No new mathematical theorem and no new law...

Yuuki Yamagishi · 0 citations

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