Homotopy Theory in Care ComplexesExplores the construction of cylinder objects in chain complexes over a field, focusing on left homotopy and interval chain complexes.
Graph Coloring IIExplores advanced graph coloring concepts, including planted coloring, rigidity threshold, and frozen variables in BP fixed points.
Postulates of Quantum MechanicsExplores the postulates of Quantum Mechanics, emphasizing the state of a system as a complex-valued vector in a Hilbert space.
Capacitors and Energy StorageExplores capacitors in circuits, energy storage, and dielectrics, emphasizing charge, voltage, and energy relationships.