Abstract: We have proposed and experimentally validated an integrated scheme of in-band spectrum polarization sensing and standard coherent communication via fraction-division non orthogonal multiple ...

What if a machine could think as deeply as a human mathematician, solving problems so intricate they stump even the brightest minds? Enter Gemini Deep Think, an advanced AI model that has not only ...

ProPublica is a nonprofit newsroom that investigates abuses of power. Sign up to receive our biggest stories as soon as they’re published. With a mass email sharing what it called “difficult news,” ...

Microsoft Word provides several ways to create fractions, whether you need them for mathematical documents, academic work, or professional reports. You can type fractions manually, use the built-in ...

Abstract: Students tend to struggle in understanding fraction problems even after understanding the whole number concept. This research addresses this challenge by developing a web-based mathematic ...

Let 𝐾 be a number field with algebraic closure K¯, and let 𝑆 be a finite set of places of 𝐾 containing all the infinite ones. Let Γ₀ be a finitely generated subgroup of Gm(K¯), and let Γ⊂Gm(K¯) be ...

1 Shanghai Key Laboratory of Brain Functional Genomics, Affiliated Mental Health Center (ECNU), School of Psychology and Cognitive Science, East China Normal University, Shanghai, China 2 Shanghai ...

When it comes to ruling the NFL, winning a division title is no small feat—let alone doing it year after year. But some teams have managed to turn division dominance into an art form, stacking ...