Concept

Windows 10 editions

Related lectures (31)

Norms and Valuations on Fields

Covers the construction of Qp, norms, valuations, and Ostrovski's theorem.

Norm Extension in Finite Fields

Covers the uniqueness of norm extension in finite fields and the construction of norms on finite extensions of Qp.

Curvature Oriented Change of Notes

Explains the curvature oriented change of notes in OneNote for Windows 10.

Complex Manifolds: GAGA Principle

Covers the GAGA principle, stating that any morphism on projective varieties is constant.

Galois Theory of Qp

Explores the Galois theory of Qp, covering algebraic extensions, inertia groups, and cyclic properties.

Algebraic Fields: Transcendence Degree

Explores transcendence degree in algebraic fields and classical analytic functions.

Hensel's Lemma Application

Discusses the application of Hensel's lemma in determining nth roots and elements that are nth powers.

Affine Algebraic Sets

Covers affine algebraic sets, hypersurfaces, elliptic curves, ideals, and Noetherian rings in algebraic geometry.

Hilberts Nullstellensatz and Ideals

Explores ideals with finite sets of points and Hilberts Nullstellensatz in algebraic fields.

Variety Defined as the Closure of VCA

Explores the concept of variety defined as the closure of VCA and its applications in algebraic geometry.

Projective Varieties: An Algebraic Study

Covers the study of projective varieties and their relation to compact manifolds.

Regularity in Higher Dimension

Explores regularity in higher dimensions for scalar problems and discusses weak sense solutions and interior regularity.

Edge loT Sensors: Hardware Platforms and Operating Systems

Explores hardware platforms and operating systems for edge loT sensors.

Algebraic Subsets of A^1

Covers algebraic subsets of A^1 and ideals with a finite set of points.

Isometries in R^n

Explores the standard form of isometries in R^n and the preservation of distances.

Exact Fields, Direct Methods, Sobolev Spaces

Covers Hilbert's theorem, direct methods, and Sobolev spaces, including classical and modern methods.

P-adic Expansion: Unique Representations and Power Series

Explores p-adic expansion, unique representations, and power series for computing p-adic expansions.

Algebraic Varieties in Linear Algebra

Explores algebraic varieties in linear algebra, focusing on their nature, determinants, irreducibility, prime properties, and geometric representation theory.

Oxygen Evolution Catalysts

Explores biological and molecular catalysts for oxygen evolution, focusing on photosystem II, O-O bond formation, and ruthenium complexes.

Ramified Extensions: Eisenstein Polynomials

Explores ramified extensions and Eisenstein polynomials, showcasing their applications in mathematical contexts.