Someone in JCafe put up the translation of inset page from vol 4 which explained three of his magic:
Spoiler:
Quote:
Mist Dispersion:
A magic that by interfering with the information structure of matter a material is broken down to its elemental level of molecules or ions. It is magic of the highest difficulty that directly interferes with the structure of information bodies. (used in LN V2 ch11 on the terrorist's weapons and then focused into a straight line and used on there bodies.)
(the translation below is courtesy of a previous post by aespire)
The dispersal of Magic Sequences (Gram Dispersion). (counter-magic decomposition magic skill)
A magic to disperse the psion used in a unformed "body" of magic, the magic sequence. Magic sequences being of a nature that when used to change the information of a targeted body(eidos), expose their information make-up, and so there is no way to prevent interruptions. On the other hand, to disperse a magic construct one would have to recognize it's make up. In the present day where modern magic is cast in 0.x seconds, there is a need for special information processing ability to be able to "decode" a magic just by "looking", before casting is completed. In an experimental setting where the magic is known beforehand this is possible, but it is generally accepted that it is impossible in actual combat. (they have yet to be introduced to the awesomeness that is Tatsuya. used in LN V2 ch11 on the Magic Evil Eye. )
The demolition of Magic Sequences (Gram Demolition). (counter-magic skill. used in LN V4 ch10)
A non systematic magic that demolishes the record of magic (Gram) without going through the Idea, but by forcibly blowing away all accompanying activation and magic sequences. Although it is referred to as magic, it is not restricted by Data Fortification or Wide Area Interference as it is a collection of psion shells that does not have a magic sequence used to modify an event. In addition, the shells' own pressure would reject any caster's interference (aka Cast Jamming). Since there's no actual physical effect, physical obstructions have no effect.
Google translations expect for the 2nd listed magic.
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I could give you a simple explanation of some of the other magic though:
Flash cast : Casting a magic instantly without the need of CAD as long as it's limited to a single activation sequence(?).
Elemental Eyes : ..simply put, it's the ability to understand the information of surrounding area. It's like sixth sense when you feel someone walking far behind you but more powerful since he could identify every eidos around him.