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Simon's Problem
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Basis Sets II: Types and Accuracy
Explores different types of basis sets, polarization functions, and accuracy challenges in computational chemistry.
Independence and Products
Covers independence between random variables and product measures in probability theory.
Quantum circuit model of computation
Explores the quantum circuit model of computation, focusing on unitary gates and multi-controlled gates.
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Measure Spaces: O-Finite and Probability Measures
Explores o-finite and finite measure spaces, probability measures, and inequalities, concluding with LP space completeness.
Advanced Physics I: Introduction to Mechanics
Introduces the basics of physics, including mechanics and making predictions based on observations and hypotheses.
Coulomb Gas and Spin Chain: Quantum Group Applications
Explores the relationship between Coulomb gas models and spin chains in quantum groups.
Bases: Linear Combinations and Function Spaces
Explores bases in vector spaces, including linear combinations, orthogonal bases, and basis transformations using rotation matrices.
Measure Spaces: Integration and Inequalities
Covers measure spaces, integration, Radon-Nikodym property, and inequalities like Jensen, Hölder, and Minkowski.
AutoCAD 3D Modeling Basics
Introduces the fundamentals of 3D modeling in AutoCAD, covering commands for creating and manipulating objects.