Brand New Key - Briley the One Girl Band

The date is October 23rd, 1593. The governor of the Philippines had just been assassinated a few days after setting off on our journey from Manila. His ship and crew were overthrown by Chinese pirates on board. When the news of his assassination reached t…

We’re told that Roberto and Jocelyn decide to roll a pair of fair six-sided dice to determine who has to dust their apartment. If the sum is seven, then Roberto will dust. If the sum is 10 or 11, then Jocelyn will dust. If the sum is anything else, they’l…

I really like making my own yogurt. I have a quart of milk, and I have some already made yogurt in this bowl, and I have a pot. So the first step is to take your quart of milk and put it into a pot. I’m going to take this milk, and you’re going to warm i…

Look, nobody’s had a perfect run through life, right? Mistakes are bound to happen multiple times. But smart people will make sure to never make these mistakes twice. Welcome to ALUX. First, stop misjudging character. Smart people are keen observers, alw…

Let F of T be ( e^{2T} - 2T^2 ) and H of T be ( 4 - 5T^2 ). The graphs of Y = F(T) and Y = H(T) are shown below. So, Y = F(T) is here in green, so this is really ( Y = e^{2T} - 2T^2 ). We see F(T) right over there, and Y = H(T) is shown in yellow. Alrigh…

Mathematics began as a way to quantify our world, to measure land, predict the motions of planets, and keep track of commerce. Then came a problem considered impossible. The secret to solving it was to separate math from the real world, to split algebra f…