Topics from the Friday 7/31/20 live stream

How many zeroes are there from all the integers from \(1\) to \(25\) in binary?

Let \(S\) be the set of points determined by \( \left| |x|-2 \right| + \left| |y|-1 \right| = 1.\) If a model of \(S\) were built from wire of negligible thickness, then what is the total length of wire required?

\(G\) is an \(8 \times 8\) grid with a \(1\) written in each of its unit squares. An operation consists of multiplying all entries in a row or column by \(-1.\) How many distinct grids can be obtained by applying this operation to \(G\) a finite number of times?

Is it possible that geometry can be proved by algebra?

What is your chess rating?

How hard it is to get into Carnegie Mellon University?

What majors does Carnegie Mellon specialize in?

Can you get your channel certified? Like get that check mark next to your channel name?