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Q: What does anti-midian mean for Hellsings Victoria Seras signature weapon Harkonnen? 
Hellsing ARMS Anti-Midian Cannon Harkonnen.

What does Anti-Midian mean?

A: A long time ago there was a movie called Nightbreed directed by Clive Barker. Clive Barker is the guy who made the Hellraiser series. This was one of his earlier works and oddly enough had a young David Cronenberg of The Fly fame play as the antagonist. In the movie Nightbreed monsters are trying to make an utopian city for their kind away from humans called Midian. In the movie, the human protagonist Boone must choose between becoming a monster or keeping his humanity for the love of a human girl. So it ties in with the overall Hellsing motif of humanity. 
But in general anti-midian probably refers to any creatures that are against humanity, and Hellsings objective to stop monsters from populating the Earth. Bam! Overanalysis of a mindless action anime!
Bonus Info! In the manga Hellsing when the Nazi Vampires surround Integra in the burning visages of London, one of them tells Integra Throw in the towel human, there is no place in this city left for you to run and hide. Youre no longer in London, this is now Midian the city of death.

A: As I remember from the series, the vampires were referred to as midians, as you can also check here. So anti-midian would be anti-vampire
Why did they choose it, I dont know and I dont seem to be the only one.

A: In hellsing midian is used as a term to describe non-human, dangerous enteties such as vampires, werewolfes (and possibly anything else that can exist in the hellsing universe). anti-midian could be understood as anti-monster weapon 

A: If we are to talk about the term midian, its very likely its inspired by the Bible. According to it, the Midianites were an Arabic tribe that worshiped multiple deities, hence being considered sinners. They had oppressed Israel and because of that, God ordered war on them.
From what I read, they were brutally slaughtered by Moses:

In Numbers 31:15-18, after his soldiers had killed all of the men
  among the Midianites, Moses ordered his army officers to kill all of
  the male children, kill all of the nonvirgin females but to save alive
  all of the virgin girls for his troops.

Im assuming these atrocities were taken into consideration by the mangaka. In the anime series, Alucarad is revealed to be in fact 

Judas

Based on the same reasoning and with the rather similar backgrounds, he might have considered the midians as a source of inspiration for the vampires in the series.

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The text includes 179 "a"s in total.
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