Lectures related to Period 4 element

Thermodynamics and Energetics I

Explores fundamental thermodynamics concepts, laws, energy transfer, and system analysis.

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Linear Algebra: Unitary Operators

Delves into unitary operators, self-adjoint properties, and spectral theorems in linear algebra.

Functions: Parametric, Integrals, Multi-variable

Covers parametric functions, integrals, and the origin of plasticity in metals.

Machine Learning for Solving PDEs: Random Feature Method

Explores the Random Feature Method for solving PDEs using machine learning algorithms to approximate high-dimensional functions efficiently.

Eigenvalues and Eigenvectors

Covers eigenvalues and eigenvectors in linear algebra.

Quantum Statistics: Canonical & Grand Canonical Ensembles

Explores quantum statistics in canonical and grand canonical ensembles, discussing distinguishability, microstates, and the Pauli exclusion principle.

Periodic Table Elements and Assyr Abdulle's Contributions

Explores the periodic table of elements and Assyr Abdulle's significant contributions to numerical analysis.

High Order PDE-Convergence: ADI-Type Integrators

Covers the convergence of high-order PDEs using ADI-type integrators for parabolic problems.

Computational Molecular Design: Mathematical Theory, High Performance Computing, In Vivo Experiments

Explores Computational Molecular Design, emphasizing Mathematical Theory, High Performance Computing, and In Vivo Experiments.

Quantum Mechanics: 1D Crystals

Covers the quantum mechanics of 1D crystals with periodic boundary conditions.

Sampling Algorithms for Constrained Systems

Explores sampling algorithms for constrained systems, emphasizing the work of Benedict Leimkuhler from the University of Edinburgh.

Stochastic Differential Equations: Mean-Field Inference

Explores inference for stochastic differential equations, focusing on numerical methods and convergence analysis.

Linear Algebra: Subspaces and Transformations

Explores subspaces in linear algebra and transformations, including kernels and images of linear transformations.

Linear Algebra: Subspaces and Combinations

Explores subspaces and linear combinations in linear algebra.

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Computational Molecular Design

Explores Computational Molecular Design, focusing on Mathematical Theory, High Performance Computing, and In Vivo Experiments, with an emphasis on quantum chemistry and electron dynamics.

Atomic Structure: Chemistry and Energy of Life

Explores atomic structure, chemistry, and energy in biology, covering chemical bonds, periodic table, and hierarchical organization of matter.

Lattices: More on Hermite's Theorem

Explores Hermite's Theorem in lattices, including Minkowski's first theorem and properties of centrally symmetric lattices.