Articles tagged: Mathematics
Mathematical concepts and theory
Articles
Representation of Sets: Set Builder Notation and Venn Diagrams
Free chapter from Set Theory for Beginners. Learn roster form, set builder notation, and Venn diagrams with clear, practical examples for developers.
What Are Sets? An Introduction to Set Theory
Free chapter from Set Theory for Beginners. Learn what sets are, why uniqueness and order matter, and how set theory helps everyday programming.
Probability of Real Roots in a Quadratic Equation with Uniform(α,β) Coefficients
We derive a general formula for the probability of real roots when quadratic coefficients are U(α,β), extending our symmetric case result.
Implications of Agricultural Practices on Vegetation and Terrestrial Invertebrates in Riparian Zones
A nonlinear mathematical model shows how unchecked agricultural expansion into riparian zones threatens vegetation and invertebrate populations. Stability analysis reveals the conditions for coexistence.
Probability of Real Roots in a Quadratic Equation with Uniform(-θ,θ) Coefficients
What's the chance a quadratic has real roots when coefficients are random? We find it's 62.7% using probability theory and Monte Carlo simulation.