Takanori Nishikawa his name was a play on Nishikawa's pseudonym with that band (Haine). [Heine's first name is written as in katakana.] The surnames of both Nishikawa and Westenfluss mean "west river" in Japanese (西川) and German (Westenfluß), respectively. "Ignited"'s title is closely similar to the mobile suit (GOUF Ignited) that Nishikawa's "GSD" character piloted. "Vertical infinity" was released on January 26, 2005 by Epic and exactly six months later by Tofu Records. The infinity symbol (∞), when facing vertically or turned sideways, looks like the number 8. That is also the number of original studio albums Nishikawa has released to date
Hilbert symbol reciprocity law follows from the Artin reciprocity law and the definition of the Hilbert symbol in terms of the Artin symbol. If "K" is a number field containing the "n"th roots of unity, "p" is a prime ideal not dividing "n", π is a prime element of the local field of "p", and "a" is coprime to "p", then the power residue symbol () is related to the Hilbert symbol by The power residue symbol is extended to fractional ideals by multiplicativity, and defined for elements of the number field by putting ()=() where ("b") is the principal ideal generated