Details About PVS Analysis Library
The PVS dump file contains the following theories:
top_limits -- Limit of a functions [T -> real] at a point
operations that preserve convergence,
limits of operations on functions,
general convergence of functions
limit of composition of functions
top_sequence -- Limits and operations on sequences of reals
Bolzano-Weierstrass theorem,
completeness of the reals,
convergence of sequence,
point of accumulation,
cauchy criterion,
convergent sequence,
limit of a sequence,
top_continuity -- Continuous functions [ T -> real]
definition of continuity
continuous functions on a closed interval
Intermediate value theorem
top_derivative -- Differential Calculus
definition of derivable (differentiable),
properties of derivatives,
Derivative at max and minimum of f
Mean value theorem
Chain rule of Differential Calculus
top_integral -- Integral Calculus
Riemann Integral
Fundamental Theorem
fundamental_theorem,
table_of_integrals,
integral_chg_var,
integral_diff_doms,
integral_mean_value,
integration_by_parts,
indefinite_integral
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Curator and Responsible NASA Official:
Ricky W. Butler
larc privacy statement
last modified: 30 June 2001