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
Legendre symbol alternative expressions for the Legendre symbol were devised in order to produce various proofs of the quadratic reciprocity law. The above properties, including the law of quadratic reciprocity, can be used to evaluate any Legendre symbol. For example: Or using a more efficient computation: The article Jacobi symbol has more examples of Legendre symbol manipulation. Legendre symbol In number theory, the Legendre symbol is a multiplicative function with values 1, −1, 0 that is a quadratic character modulo an odd prime number "p": its value on a (nonzero) quadratic residue mod "p" is 1 and on a non-quadratic residue ("non-residue")