What's the simplest way to write a function that outputs the sequence: {1, 0, -1, 0, 1, 0, -1, 0, ...} ... without using any trig functions? I was ab...

I've found a solution to the title here https://static1.squarespace.com/static/5aff705c5ffd207cc87a512d/t/5c950a447817f75bd2262096/1553271370324/Topo...

I was thinking about planes and things, and suddenly wondered why quadrants are defined the way they are, the first on the top-right, and so on. I wonder ...

I keep looking and writing out the problem, but I don't know where $(y^2 + 1)$ comes from. I get $y^2(y-3)$ as the numerator instead, but I can'...

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So it's known that there's no product rule and quotient rule for integration. But is there a reason why they don't exist, and the rules exi...

I have the following question: We draw one card at a time without replacement from the top of a shuffled standard poker deck and stop when we draw an ace....

I know that through the Abel Ruffini Theorem the general solution to a polynomial of degree five or more cannot be found explicitly. But are there are any...

I have a system of ODEs whose time courses I'd like to numerically integrate. One of these should have a continuous strictly decreasing term and a di...

I am studying for my linear algebra final and it was suggested to me that I learn how to derive the normal equation used in solving least squares problems...