Applied Mathematics
Problems related to numerical analysis, optimization, mathematical modeling, etc.
Problems in this category
The problem provides the expected returns and risk (standard deviation) for two funds, A and B. It ...
Portfolio OptimizationFinancial MathematicsExpected ReturnStandard DeviationCorrelation CoefficientVarianceMinimum Variance Portfolio
2025/7/10
The problem presents a series of questions related to portfolio construction and risk assessment. We...
Portfolio ConstructionRisk AssessmentBetaVarianceNon-Systematic RiskFinancial Mathematics
2025/7/10
The problem provides the index models for Amazon and Meta stocks: $R_{Amazon} = 0.032 + 0.9R_M + e_{...
Financial ModelingStatisticsCovarianceStandard DeviationCorrelation CoefficientLinear Regression
2025/7/10
The problem asks us to determine the reactions at the supports of a continuous beam using Castiglian...
Structural MechanicsCastigliano's TheoremBeam AnalysisStaticsDeflectionReactions
2025/7/10
The problem asks to determine the reactions at the supports of the given structure using Castigliano...
Structural MechanicsCastigliano's TheoremBeam AnalysisStrain EnergyBending MomentDeflection
2025/7/10
The problem asks to determine the reactions at the supports of a given structure using Castigliano's...
Structural AnalysisCastigliano's TheoremBeam AnalysisStaticsEngineering Mechanics
2025/7/10
The problem asks us to determine the reactions at the supports of a given structure using Castiglian...
Structural EngineeringCastigliano's TheoremBeam AnalysisStaticsStrain EnergyBending Moment
2025/7/10
The problem asks to determine the reactions at the supports of a given structure using Castigliano's...
Structural MechanicsCastigliano's TheoremBeam AnalysisStaticsStrain Energy
2025/7/10
The problem asks to determine the reactions at the supports of a continuous beam using Castigliano's...
Structural MechanicsCastigliano's TheoremContinuous BeamStaticsStrain EnergyDeflectionBeam Analysis
2025/7/10
The problem asks us to determine the reactions at the supports of the given structure using Castigli...
Structural MechanicsCastigliano's TheoremBeam AnalysisStaticsStrain Energy
2025/7/10