Math

Subscribe to our ▶️ YouTube channel 🔴 for the latest videos, updates, and tips. Estimating products by rounding numbers to the nearest ten, hundred, thousand etc., we know how to estimate the sum, difference, etc., to the nearest 10, 100, 1000, etc. …

The notorious Jacobian conjecture can be formulated concretely over the complex numbers as follows. Conjecture 1 (Jacobian Conjecture) Let be a polynomial map in complex variables, whose Jacobian is a non-zero constant. Then is invertible (with polynomial inverse). The condition …

On Thursday 16 July, a team from Mathematics (Owen Pennington, Stanislaw Biber, Jessica Furber and Laura Jones) visited and received a guided tour of the Ion Beam Centre at the University of Surrey. The visit was organised by Laura Jones. …

I am finding the newly revealed capability to code old applet ideas into reality to be very tempting to sink more time into, though I am certainly encountering the common “vibe coding” experience that the process can produce something that …

I believe that the creation of visualization apps to illustrate mathematical or scientific concepts is a particularly favorable use case for modern coding agents, as many of the downside risks attached to other LLM use cases are limited: Not mission-critical. …

Subscribe to our ▶️ YouTube channel 🔴 for the latest videos, updates, and tips. Lattice multiplication is an easy visual method used to multiply large numbers. Instead of using the traditional long multiplication method, students draw a grid (called a lattice) and …

(I am writing here in my capacity as Director of Special Projects at IPAM.) IPAM seeks program proposals from the mathematical, statistical, and scientific communities for long programs, workshops, and summer schools.  Most program proposals are reviewed at IPAM’s Science …

One byproduct of learning how to use coding agents to create visualization apps is that it now becomes straightforward to convert any figure in one’s papers that had already been generated by code (e.g., in Python) into a more interactive, …

Subscribe to our ▶️ YouTube channel 🔴 for the latest videos, updates, and tips. We will learn how to solve the word problems on multiplication by 1-digit number. Here we will apply the same process when we multiply 2-digit number by 1-digit …

With the advent of modern coding agents, many visualization projects that I had proposed in the past, but dropped due to the time and complexity of the coding portion of the task, have now become relatively feasible, in that a …