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@calc_ulus

Math and Life go on. Try to integrate of reading and to get a news via differentiation by using Twitter API : Application Program Interface. By @273sn

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I am thrilled to announce that rewrite math program is released. I hope that it helps to work a guide to touch math from triangle, trigonometry and Taylor series. 三角形、円周角、三角関数、微分、テイラー展開と続く数学山2を制作しました!tobea.sakura.ne.jp/X/mountains200…

calc_ulus's tweet image. I am thrilled to announce that rewrite math program is released. I hope  that it helps to work a guide to touch math from triangle, trigonometry  and Taylor series.  三角形、円周角、三角関数、微分、テイラー展開と続く数学山2を制作しました!tobea.sakura.ne.jp/X/mountains200…
calc_ulus's tweet image. I am thrilled to announce that rewrite math program is released. I hope  that it helps to work a guide to touch math from triangle, trigonometry  and Taylor series.  三角形、円周角、三角関数、微分、テイラー展開と続く数学山2を制作しました!tobea.sakura.ne.jp/X/mountains200…
calc_ulus's tweet image. I am thrilled to announce that rewrite math program is released. I hope  that it helps to work a guide to touch math from triangle, trigonometry  and Taylor series.  三角形、円周角、三角関数、微分、テイラー展開と続く数学山2を制作しました!tobea.sakura.ne.jp/X/mountains200…
calc_ulus's tweet image. I am thrilled to announce that rewrite math program is released. I hope  that it helps to work a guide to touch math from triangle, trigonometry  and Taylor series.  三角形、円周角、三角関数、微分、テイラー展開と続く数学山2を制作しました!tobea.sakura.ne.jp/X/mountains200…

Ummm, concept of M-Dimensional geometrical distance (Sleep Distance) is interesting. N x M x T. N: number of channels, M: number of features, T: total number of epochs. The image of hole to fall into looks like our sleep process. So what is M features?

calc_ulus's tweet image. Ummm, concept of M-Dimensional geometrical distance (Sleep Distance) is interesting.  N x M x T.  N: number of channels, M: number of features, T: total number of epochs.

The image of hole to fall into looks like our sleep process.  So what is M features?

Both on nature neuroscience “Falling asleep follows a predictable bifurcation dynamic” Published: Oct 2025 nature.com/articles/s4159… “A ubiquitous spectrolaminar motif of local field potential power across the primate cortex” Published: Jan 2024 nature.com/articles/s4159…

calc_ulus's tweet image. Both on nature neuroscience

“Falling asleep follows a predictable bifurcation dynamic” Published: Oct 2025  nature.com/articles/s4159…

“A ubiquitous spectrolaminar motif of local field potential power across the primate cortex” Published: Jan 2024 nature.com/articles/s4159…
calc_ulus's tweet image. Both on nature neuroscience

“Falling asleep follows a predictable bifurcation dynamic” Published: Oct 2025  nature.com/articles/s4159…

“A ubiquitous spectrolaminar motif of local field potential power across the primate cortex” Published: Jan 2024 nature.com/articles/s4159…


"We show that the timeseries of the so-called sleep distance displays a bifurcation dynamic during the falling asleep process, independent of sleep latency, age or gender, supporting previous theoretical observations."

What is s.d. : sleeping distance with m-dimension geometrical space of Euclidean?

calc_ulus's tweet image. What is s.d.  :  sleeping distance with m-dimension geometrical space of Euclidean?
calc_ulus's tweet image. What is s.d.  :  sleeping distance with m-dimension geometrical space of Euclidean?


"Understanding the dynamics of brain activity during the process of falling asleep has profound implications for human health"

What is s.d. : sleeping distance with m-dimension geometrical space of Euclidean?

calc_ulus's tweet image. What is s.d.  :  sleeping distance with m-dimension geometrical space of Euclidean?
calc_ulus's tweet image. What is s.d.  :  sleeping distance with m-dimension geometrical space of Euclidean?


What is s.d. : sleeping distance with m-dimension geometrical space of Euclidean?

calc_ulus's tweet image. What is s.d.  :  sleeping distance with m-dimension geometrical space of Euclidean?
calc_ulus's tweet image. What is s.d.  :  sleeping distance with m-dimension geometrical space of Euclidean?

Both on nature neuroscience “Falling asleep follows a predictable bifurcation dynamic” Published: Oct 2025 nature.com/articles/s4159… “A ubiquitous spectrolaminar motif of local field potential power across the primate cortex” Published: Jan 2024 nature.com/articles/s4159…

calc_ulus's tweet image. Both on nature neuroscience

“Falling asleep follows a predictable bifurcation dynamic” Published: Oct 2025  nature.com/articles/s4159…

“A ubiquitous spectrolaminar motif of local field potential power across the primate cortex” Published: Jan 2024 nature.com/articles/s4159…
calc_ulus's tweet image. Both on nature neuroscience

“Falling asleep follows a predictable bifurcation dynamic” Published: Oct 2025  nature.com/articles/s4159…

“A ubiquitous spectrolaminar motif of local field potential power across the primate cortex” Published: Jan 2024 nature.com/articles/s4159…


Both on nature neuroscience “Falling asleep follows a predictable bifurcation dynamic” Published: Oct 2025 nature.com/articles/s4159… “A ubiquitous spectrolaminar motif of local field potential power across the primate cortex” Published: Jan 2024 nature.com/articles/s4159…

calc_ulus's tweet image. Both on nature neuroscience

“Falling asleep follows a predictable bifurcation dynamic” Published: Oct 2025  nature.com/articles/s4159…

“A ubiquitous spectrolaminar motif of local field potential power across the primate cortex” Published: Jan 2024 nature.com/articles/s4159…
calc_ulus's tweet image. Both on nature neuroscience

“Falling asleep follows a predictable bifurcation dynamic” Published: Oct 2025  nature.com/articles/s4159…

“A ubiquitous spectrolaminar motif of local field potential power across the primate cortex” Published: Jan 2024 nature.com/articles/s4159…

After dramatical changes from 2019, now we are in a new era with chatGPT and so on. The mathematical or logical structure of the Transformer has huge power. Thinking about Agent to Agent(A2A) and End to End(E2E), there would be analogous computation of from birth to death: life

calc_ulus's tweet image. After dramatical changes from 2019, now we are in a new era with chatGPT and so on.  The mathematical or logical structure of the Transformer has huge power.  Thinking about Agent to Agent(A2A) and End to End(E2E), there would be analogous computation of from birth to death: life

Logic merely sanctions the conquests of the intuition. Jacques Hadamard


The past is behind, learn from it. The future is ahead, prepare for it. The present is here, live it. Thomas S. Monson


One can always reason with reason. Heri Bergson


God created everything by number, weight and measure. Isaac Newton


The invention of logarithms, by shortening the labors, double the life of the astronomer. Pierre-Simon Laplace (1749-1827)


Logic merely sanctions the conquests of the intuition. Jacques Hadamard


We must know, we will know. David Hilbert


Nothing new had been done in Logic since Aristotle! Kurt Godel


God created the natural number, and all the rest is the work of man. Leopold Kronecker


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