Voltron characters as algebraic expressions/distributions:
PIDGE: the binomial distribution
Binomial distributions display probabilities for a set number of binary trials (only two choices) within an experiment. I feel like this represents her because of her experimental nature as well as the two choices she was faced with in s1: saving the universe or leaving to save matt and her dad.
LANCE: sine function
IT'S ALL ABOUT THE WAVES!! Bro is smooth and bro swings both ways. Also, a sine wave is a periodic function, meaning it repeats the same pattern again and again. This can represent how while Lance is moving forward, he feels like is isn't growing or isn't more, but is rather stuck, bouncing between highs and lows.
KEITH: cosecant function
cosecant functions are the reciprocals of sin function (csc=1/sin), so this shows how Keith "reflects" or mirrors Lance. Additionally, the periods of csc functions start at positive or negative infinity and then stray towards the origin, but never quite reach it. This represents how Keith is so far away, and how everytime he comes back he leaves again, and how "home" always feels out of reach for him (csc function approaches horizontal asymptote but never truly gets there)
ALLURA: exponential function
The exponential function starts at an infintessimally small value that is nearly zero, and then rises drastically. The "flatter" values of the graph represent her comatose, and the sudden increase of values reflect her increased power, fight, and drive. It continues to increase forever, which I think can represent her death in canon. She transcends a barrier that the others cannot reach.
CORAN: uniform distribution
MY BOY Coran is the most unwavering support ever. The key aspect of a uniform distribution is that it is always the same value wherever it exists. It doesn't change or shift, just like how Coran has always, ALWAYS been able to constantly be there for the team and the universe.
HUNK: step function
While canon does him dirty, Hunk rises in both confidence and skill throughout the show. He's very methodic and is also a backbone to the team, which is why I gave him a function that's broken so evenly and is still rising. He is the type of character who climbs up. Also, I first used step functions in an engineering class!
SHIRO: hyperbolic function
OMG YALL ALR KNOW!! Not all hyperbolic functions map this way fyi, but THESE particular ones are sooooo Shiro. There is two parts of the graph, one positive and one negative. They never touch but they mirror each other identically and they're mapped by the same function. This represents Kuron and Shiro. They're both made from the same DNA, appear identical, but they have different minds and goals (the same way both parts of this function approach different values as x approaches infinity!)
