
Learn to convert fractions to percentages through four practical examples. Master this essential math skill with clear, step-by-step guidance suitable for beginners and those seeking a quick review.

Explore the concept of "almost Pythagorean" right triangles, uncovering a fascinating mathematical property that extends beyond the classic theorem.

Explore dynamical systems and differential equations through intuitive examples. Learn key concepts like state variables, phase portraits, and limit cycles to understand how systems change over time.

Learn to calculate correlation coefficients using Karl Pearson's product method through practical numerical examples in statistics and advanced mathematics.

Explore Empirical Bayes methods for shrinkage, hypothesis testing, and genomic studies. Learn statistical techniques to estimate and test effects in multiple conditions.

Explore the fascinating prime constant with mathematician Matt Parker, uncovering its unique properties and significance in number theory. Gain insights into this hidden mathematical gem.

Explore recent advancements in domain decomposition methods for solving large-scale mathematical problems efficiently and accurately.

Explore when the resolvent resembles a rank one matrix in this mathematical analysis of linear algebra concepts and applications.

Explore PDEs and stencils in computational science, focusing on efficient numerical methods for solving partial differential equations.

Explore game-enriched categories as an enhanced approach to modeling programming languages, potentially offering greater flexibility in strategy definition.

Explore the first formalization of ∞-category theory's Yoneda lemma using Rzk, a new proof assistant for synthetic ∞-category theory, paving the way for advanced mathematical proofs.

Explore formalization of complete discrete valuation rings and local fields in Lean, covering theory, proofs, and applications to algebraic number theory and geometry.

Explore univalent double categories in category theory, their formalization in Coq, and applications in mathematics and computer science.

Explore the mathematical foundations of Western classical music, from Pythagoras to modern microtonal experiments, examining harmony, tuning systems, and rhythmic innovations through keyboard demonstrations.

Explore graph representation learning, from shallow to deep embedding, for heterogeneous data. Discover algorithms for temporal and dynamic graphs, and few-shot learning techniques for minimally supervised scenarios.

Explore higher-order dynamic graph representation learning with efficient Transformers for improved link prediction in rapidly changing graphs. Learn about HOT model's architecture and performance.

Explore Bayesian inference for causal discovery, examining recent progress, challenges, and assumptions in modeling cause-effect relationships from observational data.

Explore robust and sample-efficient methods for simulation-based inference, addressing model misspecification and computational limitations in scientific and engineering applications.

Explore functional priors for Bayesian deep learning, focusing on imposing Gaussian process priors on neural networks through Wasserstein distance minimization.

Explore techniques for choosing effective prior distributions in Bayesian modeling, including prior elicitation and automatic selection methods for improved statistical inference.

Explore posterior contraction in Bayesian mixture modeling, examining parameter estimation and model interpretability under correct and misspecified conditions. Gain insights into tradeoffs between expressiveness and interpretability.