Lectures related to Geometric Means: Simple, Double, and Harmonic

Geometric Means: Ancient Theories and Modern Applications

Delves into ancient geometric means and their modern applications in geometry.

Explores the classification and practical applications of symmetries in 3D space, emphasizing user-driven determination of object symmetries.

Harmonic Mean: Geometric Projective Geometry

Explores the harmonic mean in visual arts and projective geometry, discussing historical context and invariance properties.

Monster Group Construction

Explores the construction of the Fischer-Greiss monster group, emphasizing its key properties and the process involved.

Geometric Meanings: Euclidean Division and Divine Proportion

Explores the historical and mathematical significance of Euclidean Division and the Divine Proportion in geometry and art.

Geometric Operations: Inversion & Orthogonal Circles

Explores geometric operations like inversion, orthogonal circles, and cube duplication, emphasizing historical significance and modern construction methods.

Ellipses and Curves in Geometry

Explores ellipses, curves, and their applications in astronomy and mathematics.

Quadrature & Rectification

Explores the historical problems of quadrature, pi approximation, angle trisection, and the use of conchoid in architecture.

Exploration Bias

Explores regularization, learning algorithms, and subgaussian assumptions in machine learning.

Construction of Solutions by Dirichlet-Laplace

Explores the construction of solutions by Dirichlet-Laplace in general domains.

Geometry II: Modern Geometric Transformations

Explores modern geometric transformations and invariances, focusing on projective geometry and historical developments.

Quadrature & Trisection: Geometric Constructions

Explores the historical and mathematical aspects of quadrature and trisection in geometry, including the challenges faced by ancient mathematicians.

Volume Calculation of Revolution Bodies

Explores volume calculation of revolution bodies using mathematical formulas and inequalities.

Algebraic Geometry: Forms and Maps

Covers the concept of forms in algebraic geometry and the implications of constructing Bloch(A) from glued copies of A.

The 3 Branches: Geometric Means & Constructibility

Delves into ancient geometric means, transformations, and projective geometry's birapports.

Relative Positions in Space

Covers the precise description of the relative positioning of objects in space.

Geometry: Exam Review and Future Topics

Discusses exam results, upcoming exam focus, and transition to advanced geometry concepts.

Project Management in Civil Engineering: Key Phases and Considerations

Provides an overview of project management phases in civil engineering, focusing on SIA 103 standards and stakeholder roles.

Euclidean Geometry: Operations and Constructions

Covers the fundamental operations and constructions in Euclidean geometry, focusing on algebraic interpretations and ruler-and-compass constructions.

Introduction to Precast

Introduces precast concrete structures and advanced design techniques, covering topics like prefabrication, building connections, and construction projects.