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Introduction to Mathematical Thinking
Mechanics of Materials I: Fundamentals of Stress & Strain and Axial Loading
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Explore advanced overlapping Schwarz methods for Maxwell eigensolvers, including improved condition number bounds and a novel two-level preconditioned Helmholtz subspace iterative method for edge element approximations.
Explore threefold divisorial contractions to curves, their classification, and potential higher-dimensional extensions in algebraic geometry.
Explore advanced techniques for predicting Tibetan Plateau climate on decadal scales, focusing on global coupled data assimilation and the impact of regional observations on global climate predictions.
Explore recent findings on hypergraph bipartite Turan problems, including solutions to challenges posed by prominent researchers in the field.
Explore stochastic modeling and statistical inference applications in single-cell biology, including HIV dynamics and preimplantation genetic testing for monogenetic diseases.
Explore alterfold theory for TQFT and topological orders across dimensions. Discover unified framework for representing concepts and generalizing results in intuitive ways.
Explore partial entanglement entropy geometrization in AdS/CFT, examining PEE threads, network formation, and bulk geometry reconstruction using novel approaches.
Explore recent advancements in hyperbolic relaxation problems, covering dissipativeness, modeling, boundary conditions, and control in moment closure systems.
Explore quasi-neutral limit problem in electro-hydrodynamics, examining multi-scaling structure stability, boundary layers, and well-posedness theory for Planck-Nernst-Poisson-Navier-Stokes equations.
Explore the interplay between finite simple groups, combinatorics, and group theory, examining recent developments and introducing algebraic tools for geometric structures.
Explore recent developments in 4d F-theory geometric landscape, including massive spectrum and new base ensemble measures.
Explore intersection theory on super Riemann surface moduli spaces, including recursion formulas, polynomiality, and applications to JT gravity.
Explore giant graviton expansions in gauge-gravity correspondence, uncovering insights into quantum field theory, string theory, and emergent spacetime geometries.
Explore advanced polynomial decomposition techniques, focusing on D-SOS and DC-SOS, to enhance understanding of algebraic structures and tackle complex optimization problems.
Explore the representation principle for symmetry enriched topological orders, covering defects, boundaries, symmetry charges, and generalized gauging in physical systems.
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