RESEARCH BASE

Search 3,721 documents across 34 fields — every claim tier-rated by evidence

3,721 Documents 34 Sections 43,625 Citations 34,852 Keywords Indexed 4 Evidence Tiers

3,633 are the core, quality-scored corpus (34 lettered sections — see How We Work); the remaining 88 are cross-corpus synthesis documents (68 InterDocs, 12 Connections, 8 Theories) also indexed here.

9 results for "polynomial roots"

V_2_15 Verified 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

B_3_10 Verified Beings & Entities

B_3_10 — World Tree Guardians and Cosmic Serpents

The World Tree — a colossal tree (or pillar, mountain, or vine) connecting the layers of the cosmos (typically underworld, earth, and heavens) — is one of the most widespread cosmological concepts in human mythology, app

world tree axis mundi Yggdrasil Níðhöggr Jörmungandr cosmic serpent

ZD_1_05 Verified 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

V_2_02 Verified Mathematics & Information

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

V_2_11 Verified 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 Verified 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 Verified 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

U_1_15 Credible Art, Music & Culture

U_1_15 — Jazz: Improvisation, African Roots, and Cultural Revolution

Jazz — America's most original and influential art form — emerged in the early 20th century from the convergence of African rhythmic and improvisational traditions, African American blues and work songs, European harmony

jazz improvisation blues swing bebop cool jazz

N_3_02 Credible Secret Societies

N_3_02 — Theosophy — Blavatsky, Besant, and the Roots of Modern Esotericism

Theosophy, founded by Helena Petrovna Blavatsky and Henry Steel Olcott in New York City in 1875, was the most influential esoteric movement of the late 19th and early 20th centuries. Through her major works Isis Unveiled

Theosophy Helena Blavatsky Theosophical Society Secret Doctrine root races Mahatmas

BROWSE BY SECTION — 3,721 documents across 34 fields

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 105 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 95 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 108 Docs Z Molecular Biology 112 Docs ZA Physics & Quantum 117 Docs ZB Ecology & Biology 117 Docs ZC Social Science 111 Docs ZD Information & Computation 96 Docs ZE Ethics & Applied Philosophy 99 Docs ZF Oceanography 105 Docs ZG Linguistics & Communication 110 Docs ZH Archaeoastronomy 114 Docs