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685 results for "normal science" — page 35 of 35

V_4_13 Credible Mathematics & Information

V_4_13 — Mathematics of Voting: Arrow's Theorem, Fairness, and Electoral Systems

The mathematics of voting — a branch of social choice theory — applies rigorous mathematical analysis to the problem of aggregating individual preferences into collective decisions, revealing deep impossibility results t

voting theory social choice Arrow's theorem Condorcet paradox Gibbard-Satterthwaite electoral system
V_4_20 Credible Mathematics & Information

V_4_20 — Hypercomputation & Beyond-Turing Models

Hypercomputation refers to any model of computation that can solve problems beyond the theoretical capabilities of standard Turing machines — the abstract devices defined by Alan Turing in his landmark 1936 paper "On Com

hypercomputation super-Turing oracle machines analog computation Turing limit Church-Turing thesis
V_4_16 Credible Mathematics & Information

V_4_16 — Mathematical Visualization: From Graphs to Virtual Reality

Mathematical visualization — the creation of visual representations of mathematical objects, relationships, and data — serves as both a tool for discovery and a medium for communication, transforming abstract mathematica

mathematical visualization data visualization graph theory fractal topology visualization geometric visualization
V_4_15 Credible Mathematics & Information

V_4_15 — Formal Verification: Proving Programs Correct

Formal verification — the use of rigorous mathematical methods to prove that a software or hardware system satisfies its specification — aims to provide absolute correctness guarantees, going beyond testing (which can re

formal verification program correctness Hoare logic model checking theorem proving type theory
V_2_22 Mathematics & Information

V_2_22 — Imaginary Numbers: From "Truly Imaginary" to Physically Necessary

In 1545, the Italian mathematician Girolamo Cardano encountered expressions involving the square root of a negative number while solving cubic equations in his Ars Magna. He used the expression — computed with it, obtain

imaginary numbers complex numbers √-1 i Cardano Bombelli