3 papers
math.HO2022
Representation of Geometric Objects by Color
Yusuke Imai
By introducing various actions involving color to geometrical objects, we represent a cube and simplex in four or fewer dimensions, the geometrical net of a cube and simplex in fiv…
math.GM2022
Differential and Integral Calculus of Sequence
Yusuke Imai
We create a sequence version of calculus. First, we define equivalence, some fundamental operations, differential, and integral for sequences. Then, we propose sequence versions of…
cs.SD2021
General Theory of Music by Icosahedron 3: Musical invariant and Melakarta raga
Yusuke Imai
Raga is a central musical concept in South Asia, especially India, and we investigate connections between Western classical music and Melakarta raga that is a raga in Karnatak (sou…