In the mid-noughties, when music by the Killers and Franz Ferdinand blared out of every pub and nightclub I passed, I spent ...

Enterprise AI has spent the last two years fixated on ever more powerful models. But a largely hidden layer is emerging ...

In 2022, global production of construction materials accounted for more than 7% of total carbon emissions. But how many of ...

Reproducing kernel Hilbert space method is utilized in this paper as an efficient approach to solve singular fourth order ...

Blending algebra and geometry courses can give students more room in their schedules to take other courses like data science or statistics, concepts that are very present in people’s everyday lives.

Abstract: This paper develops several new dynamical designs, based on the gradient neural network (GNN), from the perspective of control theory to solve the time-varying Sylvester equation (TVSE). We ...

Mathematicians are challenging the idea that dark energy is responsible for the accelerating expansion of the universe. In a new paper published in Proceedings of the Royal Society A, mathematicians ...

In October 2024 I attended a workshop at Harvard University where mathematicians talked through the uses of artificial intelligence in their field. Most were less worried about the future of math than ...

Using AI chatbots for even just 10 minutes may have a shockingly negative impact on people’s ability to think and problem-solve, according to a new study from researchers at Carnegie Mellon, MIT, ...

The Quarterly Projection Model (QPM) is one of the IMF’s standard frameworks for monetary policy analysis and forms a core component of a forward‑looking Forecasting and Policy Analysis System (FPAS).

Description: 👉 Learn how to use the double angle identities to solve trigonometric equations. When we have equations with a double angle we will apply the identities to create an equation that can ...

👉 Learn how to solve equations using half-angle identities. To do this we will replace every trig function with half angles using the identity. Then we will simplify and solve trigonometric functions ...