CSI Bloody Calculus Controversy

Another day, another body.
Do you know who this is?
No
should I?
Mr. Woodroffe showed us a picture of him in Math class, he's a famous German
mathematician.
Are you 100% sure? Because you know, with me
when Mr. Woodroffe is talking, I don't always understand what he's saying so
I just usually nod my head and that works for me.
Wait a second...
It's a bloody
switchblade.
No Sir, that's a compass.
Arjun
we're gonna get this guy. We're gonna make sure
that he doesn't kill anybody else.
YAAAAAAAAAAH!





Ow! Eureka!


Arjun!
What's the staus on the Leibniz case? Do we know anyone who'd have motive, anyone
who'd want to kill Leibniz?
Well, according to Wikipedia
Well, according to Wikipedia
We can't use Wikipedia, it's not a viable
source.
But we're the Wikipedia generation.
I know Arjun. Let's go, we have to go to the library.
Sir, sir! Look here!
According to "Great Feuds in Mathematics," Leibniz was the
mathematician who discovered calculus.
Discovered, what?
Calculus is used in every branch of science, computers, engineering, economics,
medicine and in many other fields. Basically, wherever a problem
can be mathematically modelled, calculus allows an optimal solution to be discovered.
Physics, particularily makes good use of calculus - including computations
involving velocity and acceleration, the slope of a curve, optimization,
electricity and magnetic flux. Calculus can be used
electricity and magnetic flux. Calculus can be used
to compute the trajectory of a shuttle docking at a space station, the amount of snow
in a driveway and even plays a part in ensuring that your refrigerator works.

So it's a big deal.
Yah yah, but, look here.
What? Does it say who killed him?
Perhaps the most infamous and interesting controversy in mathematics history
was the one between Isaac Newton and Gottfried Leibniz.
So that's how you do fluctional calculus. That makes sense.
No it's this way.
Now look look, wo wo wo, what are you just doing there?
It's wrong.
What's up - it's not wrong, I've been working on it for 20 years.
Hey don't go walking away from me! Hey, don't publish this first, I mean common,
the heck.
I'm so confused.
Leibniz claimed that he'd invented calculus and had first published his account of calculus
in 1684. Newton, on the other hand, did not publish his findings until
1687, but later denounced Leibniz's findings as being the product
of plagiarism.
Ah, God, hit, calculator to the face.

German
bastard.
So let me get this straight here. Newton blames Leibniz
for having stolen his idea of calculus?
Yah, that's basically it.
So, wouldn't that make him a little, derivative?
YAAAAAAAAAAAAH!
So really, if this guy Newton thought he had invented calculus -
He might have killed Leibniz out of anger or jealousy.
Exactly! Sounds like motive to me.
Let's bring him in.

So. Did you kill Leibniz?
Wait, Gottfried Leibniz was my friend
I'd never kill him.
Listen, it's understandable that you'd be mad
about the whole calculus thing -
Oh that's what this is about -
Just maybe you were upset
that he stole your idea. You were going over to visit "your buddy,"
he was acting really smug about the whole thing and, since you happened to
have a switchblade, you stuck him?
Ah, look, look
the calculus thing is so overblown. I never even wanted to fight about
it. He actually came up with a better notation for it than I did. Look, the newspapers
made up quotes. They blew the whole thing out of proportion. You know how this stuff can be, right?
I'm completely stumped. Usually,
when I accuse them, they just break down, but,
maybe I should put my sunglasses on.
I think we need more evidence.
Nonsense.
So,
now did you kill Gottfried Leibniz?
No.
Damn it Arjun! All right, let's go.
What can I do for you both?
What's the status on the math murder?
We have to stop this switchblade-wielding assassin as soon as we can.
Now this is interesting...
I've done a blood spatter analysis and I've discovered a few things. A drop of
blood that drops perfectly vertical, or at a 90 degree angle will create
a round blood stain. As the angle of impact increases, the
drop of blood gets longer and develops a tail. This tail points
in the direction that the drop traveled.
Being upright, resulted in the blood droplet
falling at 90 degrees. In this way, I was able to determine that
Leibniz was murdered while standing.
So that would mean
that Leibniz was killed from behind, right?
Yup.
Furthermore, through the
measurement of specific blood droplets, a trigonometric calculation
can be used to determine from where the blood came. The measurements of the blood
stain become the sides of a right triangle. The length of the stain is the triangle's
hypotenuse and it's width is the side opposite the angle that we're trying to
find. A simple inverse sine of the width divided by the length
will give you the angle of impact.
Inverse sine? What's
that?
Arc sine, cosecant or sine to the power of negative 1,
is the inverse of sine. You would use this function when both the opposite and
adjacent lengths are given, but the theta value is not. Basically,
when sine x equals opposite over adjacent, x equals arc sine
multiplied by opposite over adjacent.
I found the angle of impact of over 20
drops and determined that Leibniz was killed while looking out the window
of the classroom.

What happens if Newton was really telling the truth? What if he and Leibniz had really been friends?
But, no. People lie all the time.
Well, Leibniz was killed
from behind. If Leibniz and Newton had been friends -
Of course!
If Leibniz and Newton had been friends, Leibniz would never have expected that
Newton would kill him. Why would a friend kill another friend? And, and we have Newton's
motive. That's it! Let's go!
Ow.

Did you, or did you not kill

Got Fried Leibniz?
I said Gottfried Leibniz.
Whatever,
the question still stands.
Look I, look, I had absolutely
nothing -
Listen, enough of you lies! Enough of your lies! We know you had
the motivation to kill him - he could have stolen you're calculus idea - we know
that you were his friend - he didn't expect to be killed, he was killed from behind.
You had everything - you are the murderer!
You have no actual evidence that I -
I don't need evidence! I don't need evidence! You're under arrest!

Yes Sashwat?
Ah, sorry to interrupt you guys, I
did some work and I found out that the guy that killed Leibniz was
Australian.
How'd you find that out?
Yah, how did you find that out?
Um, kangaroo
DNA in his blood. All Australians have it.
Look, I'm not Australian. You know that right?
All right. Scrap the case. We're going back to the drawing board.





Arjun.
We failed.
Yah... I have to go now. If I'm late
for Mr. Woodroffe's class again, he's going to roast me on a rotisserie.
Mr. Woodroffe?
Did you say Mr. Woodroffe?
But, but, didn't you say that Mr. Woodroffe was talking about Leibniz and Newton and about
their controversy and about their argument? Wasn't he teaching the class about that?
Yah, so what?
So, isn't it possible that he was putting ideas
in your head?
Yah! I came out of that class thinking that Newton wanted to kill
Leibniz, from behind, with a compass.
He's
brainwashing you Arjun! God! Don't you think it's at all
possible that he was doing this to mask his own guilt?
Mr. Woodroffe
would kill someone? Well, I wouldn't put it past him, but,
what was his motive?
Jealousy,
Arjun, jealousy.
Yah! It makes sense!
Leibniz and calculus became more famous Woodroffe and his Woodrow Method. This
definitely would have sent him over the edge. He does not handle adversity very well.
Yah,
but what do we do now?
Shouldn't we arrest him?
Do you want another 2 in Math?
Actually Sir, I
have -
Listen Arjun! I have to tell you something.
No! I beg you!
Not another one-liner!