In general, no. There is a difference between the terms "Dark Magician" and "a Dark Magician monster". The first means a card called, and only called, "Dark Magician", while the second means any monster with 'Dark Magician' in the name, including 'Dark Magician Girl'. That means 'Dark Magician Girl', or 'Skilled Dark Magician', etc, are unable to use most Dark Magician support cards - you can't summon them using Dark Magic Curtain, they won't let you activate 'Dark Magic Attack', etc.
You probably mean prestidigitator? It means "magician."
Mage.
No. There's a difference between saying 'Dark Magician' and a 'Dark Magician card'. The former wording means a card called, and only called "Dark Magician". The latter means any card with "Dark Magician" in the name. You'll see the latter wording on cards that support various archetypes, such as 'Elemental HERO' or 'Six Samurai'. But the former wording tends to apply to the Dark Magician support cards - only the Lv7 Normal Monster called Dark Magician will satisfy those activation conditions, cards like Skilled Dark Magician and Dark Magician Girl do not.
No, it says "Dark Magician" and not a "Dark Magician monster". The latter would mean 'any monster with Dark Magician in the name', similar to things that look for 'Six Samurai monsters'. Without saying card/monster, it means it is looking for a card called, and only called "Dark Magician", ie, the Lv7 Normal Monster. No other variant counts, so she will not get a power boost from a Skilled Dark Magician.
That is the proper spelling (uncapitalized) of the word magician.
It means presto or in other word a term a magician would use.
Souvik is a Bengali male first name which means magician or wizard.
A single word for female magician is not available in English. You can write 'lady magician' or 'woman magician' instead.
It means to call up or to make appear. The magician conjured up a rabbit from his hat.
jasper bird tetbury ------------------------ It means you are a magician- talented in the art of prestidigitation.
The plural for magician is magicians