Lectures related to Windows 10 Mobile

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.

Complex Manifolds: GAGA Principle

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

Algebraic Fields: Transcendence Degree

Explores transcendence degree in algebraic fields and classical analytic functions.

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.

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.

Ramified Extensions: Eisenstein Polynomials

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

Gamification: Introduction and Techniques

Introduces the history and techniques of gamification in various contexts.

Mathematical Analysis: Factorial Generalization and Absorption

Covers the generalization of factorials, mathematical behavior, and absorption phenomena.

Excessive Permissions: Mobile Apps Security

Explores the risks of mobile apps with exaggerated permissions and defense strategies.

IoT Commercial Product: Sensor Tag Technology

Explores the design and components of the Texas Instruments Sensor Tag IoT commercial product.

Analytical Geometry: Midpoint, Equations, Projections

Explores midpoint, equations, angles, and projections in analytical geometry.

Bezier Curves: Control Points and Regularity

Explores Bezier curves, emphasizing control points and curve regularity.