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Distributed Forces: Calculations and Analysis
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Distributed forces: integrals and resultant forces
Covers the calculation of beams with distributed loads and resultant forces.
Functions xr, r>0, on 10,1
Covers the properties of functions xr, r>0, on 10,1, including limits and integrals.
Comparison Series and Integrals
Explores the relationship between series and integrals, highlighting convergence criteria and function examples.
Introduction to Structural Mechanics
Covers beams with distributed and concentrated forces, bending moment, shear force, and internal load diagrams.
Improper Integrals: Convergence and Comparison
Explores improper integrals, convergence criteria, comparison theorems, and solid revolution.
Analytic Continuation: Residue Theorem
Covers the concept of analytic continuation and the application of the Residue Theorem to solve for functions.
Residue Theorem: Calculating Integrals on Closed Curves
Covers the application of the residue theorem in calculating integrals on closed curves in complex analysis.
Two-loop Computations: External Legs and Internal Propagators
Covers the computation of two-loop diagrams with external legs and internal propagators.
Generalized Integrals: Convergence and Divergence
Explores the convergence and divergence of generalized integrals using comparison methods and variable transformations.
Unclosed Curves Integrals
Covers the calculation of integrals over unclosed curves, focusing on essential singularities and residue calculation.