Applied Mathematics

Problems related to numerical analysis, optimization, mathematical modeling, etc.

Problems in this category

The problem asks to determine the reaction at the support of a given structure using Castigliano's t...

Structural MechanicsCastigliano's TheoremContinuous BeamBending MomentStaticsStructural Analysis
2025/7/10

The problem asks to determine the reactions at the supports of a continuous beam using Castigliano's...

Structural MechanicsCastigliano's TheoremBeam AnalysisBending MomentDeflectionStrain Energy
2025/7/10

The problem is to match violations of OLS assumptions to their consequences on the standard errors a...

Regression AnalysisStatisticsEconometricsOLSHeteroskedasticityAutocorrelationMulticollinearityNon-normalityStandard ErrorsCoefficientsBiasEfficiencyInconsistency
2025/7/9

The problem describes consequences of violating Ordinary Least Squares (OLS) assumptions such as het...

StatisticsRegression AnalysisOrdinary Least SquaresHeteroskedasticityAutocorrelationMulticollinearityNon-normalityStandard ErrorsCoefficient Estimates
2025/7/9

The problem asks us to determine the reactions at the supports of a given structure using Castiglian...

Structural AnalysisCastigliano's TheoremBeamStaticsIndeterminate StructuresBending MomentStrain Energy
2025/7/9

The problem asks to determine the reactions at the supports of a given structure using Castigliano's...

Structural AnalysisCastigliano's TheoremStaticsBeam AnalysisStrain EnergyDeflectionEngineering Mechanics
2025/7/9

The problem asks us to determine the reactions at the supports of a given structure using Castiglian...

Structural MechanicsCastigliano's TheoremBeam AnalysisStrain EnergyBending MomentStaticsIndeterminate Structures
2025/7/9

The problem asks to determine the reaction at the supports of a given structure using Castigliano's ...

Structural MechanicsCastigliano's TheoremBeam AnalysisStaticsStrain Energy
2025/7/9

The problem asks to determine the reactions at the supports of a given structure using Castigliano's...

Structural MechanicsCastigliano's TheoremBeam AnalysisBending MomentStrain Energy
2025/7/9

The problem asks us to determine the reactions at the supports of a given structure using Castiglian...

Structural AnalysisCastigliano's TheoremBeamBending MomentStaticsStrain Energy
2025/7/9