Implicit Function Theorem
Guarantees existence of implicit functions. Crucial in multivariable calculus.
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Similar Mathematical Theorem
Fundamental Theorem of Calculus
Connects differential and integral calculus. Enables calculation of areas and rates.
Stokes' Theorem
Generalizes fundamental theorem of calculus. Differential forms.
Liouville's Theorem
Complex analysis fundamental. No non-constant bounded entire functions.
Fundamental Theorem of Algebra
Guarantees polynomial equations solvable in complex numbers.
Mean Value Theorem
Connects function values to derivative. Fundamental in analysis.
Taylor's Theorem
Approximates functions with polynomials. Remainder term.
Intermediate Value Theorem
Intuitive but powerful. Guarantees roots exist.
Brouwer Fixed Point Theorem
Every continuous function from ball to itself has fixed point.
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Academic functional language. Pure functions and powerful type system. Monads solve IO problem.
Descartes' Latin formulation of existence
Descartes' Latin formulation of existence
The Fold
Leibnizian-Deleuzian concept of infinite folding as nature's operation. Matter folds infinitely inward; soul unfolds infinitely …
Newton's Second Law
Quantifies force and motion relationship. Predictive power for all classical systems.
Descartes' foundational statement of existence through thought
Descartes' foundational statement of existence through thought
Schrödinger Equation
Fundamental equation of quantum mechanics. Predicts probability distributions.
Bernoulli's Principle
Explains airplane lift. Venturi effect. Energy conservation in fluids.
OCaml
French functional language. Powerful type system and inference. Jane Street's trading language.
Delphic maxim on self-knowledge
Delphic maxim on self-knowledge