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Search 3,717 documents across 34 fields — every claim tier-rated by evidence

3,717 documents 34 sections 47,686 citations 34,596+ keywords indexed 4 evidence tiers

9 results for "Jones polynomial"

V_2_02 — Topology & Knot Theory: Celtic Knots to DNA

Topology — the study of properties preserved under continuous deformation (stretching, bending, but not tearing or gluing) — originated with Euler's solution to the Königsberg bridge problem (1736) and evolved into one o

topology knot theory Euler Königsberg bridges Celtic knotwork DNA topology

ZH_1_07 Verified Archaeoastronomy

ZH_1_07 — Antikythera Mechanism: World's First Astronomical Computer

The Antikythera mechanism is a corroded mass of bronze gears and inscribed plates recovered in 1901 from an ancient shipwreck off the Greek island of Antikythera, dated to approximately 60–70 BCE (though the mechanism it

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ZC_1_02 Social Science

ZC_1_02 — Cult Psychology — Manipulation, Totalism, and Recovery

Cult psychology examines how high-demand groups employ systematic influence techniques to recruit, retain, and control members. Key frameworks include Robert Jay Lifton's eight criteria of thought reform, Steven Hassan's

cult social-science thought reform brainwashing Robert Jay Lifton Steven Hassan BITE model

ZD_1_05 Information & Computation

ZD_1_05 — Computational Complexity: P vs NP and the Limits of Efficient Computation

Computational complexity theory classifies problems not by whether they can be solved, but by how efficiently they can be solved — and its central open question, P vs NP, is one of the seven Clay Millennium Prize Problem

computational complexity P vs NP NP-completeness complexity classes polynomial time Turing machines

N_4_10 Verified Secret Societies

N_4_10 — Aum Shinrikyo and Destructive Cults

Destructive cults — organizations that combine charismatic authoritarian leadership, coercive psychological control, and totalistic ideology in ways that cause measurable harm to members and/or the public — represent the

Aum Shinrikyo Shoko Asahara sarin Tokyo subway attack destructive cults millenarianism

V_2_15 Mathematics & Information

V_2_15 — Galois Theory and Field Extensions

Galois theory, developed by Évariste Galois (1811-1832) in the last years of his tragically short life, is one of the great triumphs of abstract algebra — a theory connecting field extensions to group theory that definit

Galois theory field extension polynomial roots solvability by radicals quintic equation group theory

V_2_11 Mathematics & Information

V_2_11 — Abstract Algebra: Groups, Rings, and Fields

Abstract algebra is the study of algebraic structures — sets equipped with operations satisfying specific axioms — that generalize familiar arithmetic operations to reveal deep structural patterns across mathematics and

abstract algebra group theory ring theory field theory symmetry Galois theory

V_2_03 Mathematics & Information

V_2_03 — History of Algebra: Al-Khwarizmi to Group Theory

Algebra — the generalization of arithmetic to unknown quantities and their relationships — has a 4,000-year documented history, from Babylonian equation-solving tablets (c. 1800 BCE) through Brahmagupta's Indian treatise

algebra Al-Khwarizmi equation quadratic cubic Brahmagupta

V_2_12 Mathematics & Information

V_2_12 — Algebraic Geometry

Algebraic geometry — the study of geometric objects defined by polynomial equations — is one of the most central and technically demanding branches of modern mathematics, connecting algebra, geometry, topology, and numbe

algebraic geometry variety scheme polynomial equation projective space elliptic curve

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A Foundations 112 docs B Beings & Entities 114 docs C Global Traditions 116 docs D Sites & Artifacts 116 docs E Cataclysms & Chronology 109 docs F Lost Connections 111 docs G Modern Frameworks 99 docs H Suppression & Thesis 95 docs I UAP Disclosure 87 docs J Ancient Technology 103 docs K Consciousness 100 docs L Genetics & Origins 92 docs M Forbidden Archaeology 103 docs N Secret Societies 87 docs O Earth Anomalies 108 docs P Philosophy & Meaning 104 docs Q Cosmology & Physics 100 docs R Biology & Evolution 94 docs S Future Technology 100 docs T Psychology & Social 112 docs U Art, Music & Culture 122 docs V Mathematics & Information 87 docs W World Civilizations 140 docs X Medicine & Healing 126 docs Y Altered States 113 docs Z Molecular Biology 112 docs ZA Physics & Quantum 117 docs ZB Ecology & Biology 118 docs ZC Social Science 111 docs ZD Information & Computation 95 docs ZE Ethics & Applied Philosophy 99 docs ZF Oceanography 105 docs ZG Linguistics & Communication 110 docs ZH Archaeoastronomy 114 docs