This is a textbook for an introductory combinatorics course that can take up one or two semesters. An extensive list of problems, ranging from routine exercises to research questions, is included. In ...

For the relays, four of the women’s provisional cuts got quicker, with only the 400 medley relay remaining the same, while on the men’s side, the 200 free relay was the only one that didn’t improve.

After spinning a web of lies, Seth Ridley finally got his comeuppance. Returning on Tuesday night, ABC aired another episode of The Rookie, which left fans divided. Titled 'Chaos Agent', the latest ...

Abstract: We generalize recent linear lower bounds for Polynomial Calculus based on binomial ideals. We produce a general hardness criterion (that we call immunity) which is satisfied by a random ...

In this manuscript, we show new binomial identities in iterated rascal triangles, revealing a connection between the Vandermonde convolution and iterated rascal numbers. We also present ...

Jason I. Brown, Karl Dilcher, and Dante V. Manna, On a sequence of sparse binomial-type polynomials. J. Math. Anal. Appl. 398 (2013), no. 1, 128-137. Takashi Agoh and Karl Dilcher, Convolution and ...

This textbook gives a fresh approach to an introductory course in signal processing. Its unique feature is to alternate chapters on continuous-time (analog) and discrete-time (digital) signal ...

Differentiation is process of finding the derivative, or rate of change, of a function. Derivative itself is defined by the limit of function's change divided by the function's argument change as ...

We will continue hosting mathematics competitions. If the online option is available for the contest, we will opt for that. For in-person competitions, we expect a minimum of 5 participants to host ...

remove-circle Internet Archive's in-browser bookreader "theater" requires JavaScript to be enabled. It appears your browser does not have it turned on. Please see ...

If you divide a square into some fixed number of similar rectangles, what proportions can these rectangles have? We’ve been having fun thinking about this on Mathstodon, and here is a progress report.