Articles tagged: Mathematics
Mathematical concepts and theory
Articles
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.