This is a tumblelog, kinda like a blog but with short-form, mixed-media posts with stuff I like. Scroll down a bit to start reading, or a bit more to read more about me.
Consider all integer combinations of a^(b) for 2 ≤ a ≤ 5 and 2 ≤ b ≤ 5: 2^(2)=4, 2^(3)=8, 2^(4)=16, 2^(5)=32 3^(2)=9, 3^(3)=27, 3^(4)=81, 3^(5)=243 4^(2)=16, 4^(3)=64, 4^(4)=256, 4^(5)=1024 5^(2)=25, 5^(3)=125, 5^(4)=625, 5^(5)=3125 If they are then placed in numerical order, with any repeats removed, we get the following
sequence of 15 distinct terms: 4, 8, 9, 16, 25, 27, 32, 64, 81, 125, 243, 256, 625, 1024, 3125 How many distinct terms are in the sequence generated by a^(b) for
2 ≤ a ≤ 100 and 2 ≤ b ≤ 100?This is my solution in Haskell (it’s upwards of 100 lines in Java or C++):
length $ nub [a ^ b | a <- [2..100], b <- [2..100]]
in leu of procrastination i’ve compiled twenty-one screenshots of my top twenty-one anna mack tweets, and put them on the RIT CIAS transfer folder. have fun, RIT ESP-finals-week-goers.
i’ve also begun thinking about if i take an essay off the internet about conceptual art, copy and paste it into word, but then cite it properly in MLA format, if it wittily counts as a final paper for conceptual art, about appropriation in conceptual art.
the past decade in 7 min.
word up kiddo
Accidental discovery produces durable new blue pigment for multiple applications
Through much of recorded human history, people around the world have sought inorganic compounds that could be used to paint things blue, often with limited success. Most had environmental or durability issues. Cobalt blue, developed in France in the early 1800s, can be carcinogenic. Prussian blue can release cyanide. Other blue pigments are not stable when exposed to heat or acidic conditions.
But chemists at OSU have discovered new compounds based on manganese that should address all of those concerns. They are safer to produce, much more durable, and should lead to more environmentally benign blue pigments than any being used now or in the past. They can survive at extraordinarily high temperatures and don’t fade after a week in an acid bath.