Let $D$ be a linear partial differential operator between vector bundles on a differentiable manifold $X$ of dimension $n$. Let $\mathcal{D}$ be the sheaf of germs of ...

The prospective candidates of the GATE 2026 Physics (PH) exam must familiarise themselves with the GATE Physics syllabus. The ...

Let Ω ⊂ ℝp, p ϵ ℕ* be a nonempty subset and B(Ω) be the Branch lattice of all bounded real functions on a Ω, equipped with sup norm. Let 𝑋 ⊂ 𝐵(Ω) be a linear sublattice of 𝐵(Ω) and 𝐴: 𝑋 → 𝑋 be a ...

Linear operators form the cornerstone of analysis in Banach spaces, offering a framework in which one can rigorously study continuity, spectral properties and stability. Banach space theory, with its ...

NCERT Solutions for Class 10 Maths Chapter 3, Pair of Linear Equations in Two Variables: Practicing NCERT questions will help students build their understanding and problem-solving skills. These ...