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.

3,719 results for "cytochrome c" — page 153 of 186

V_2_21 Verified Mathematics & Information

V_2_21 — Topology Applications in Science

Topology — the branch of mathematics concerned with properties preserved under continuous deformation (stretching, bending, twisting, but not tearing or gluing) — has transformed from an abstract mathematical discipline

topology topological invariants Euler characteristic knot theory persistent homology topological data analysis
V_2_19 Credible Mathematics & Information

V_2_19 — Category Theory: Abstract Structure, Functors & Topos Theory

Category theory — often called the "mathematics of mathematics" — provides a universal language for describing mathematical structures and the relationships between them, emphasizing morphisms (arrows, maps, transformati

category-theory functor natural-transformation topos-theory saunders-mac-lane samuel-eilenberg
V_2_17 Credible Mathematics & Information

V_2_17 — Homological Algebra: Chain Complexes, Exact Sequences, and Derived Functors

Homological algebra provides a powerful, abstract framework for studying algebraic structures — groups, rings, modules, sheaves — by analyzing chain complexes (sequences of abelian groups or modules connected by homomorp

homological algebra chain complex exact sequence homology cohomology derived functor
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_07 Verified Mathematics & Information

V_2_07 — Formal Logic: Aristotle to Turing

Formal logic — the systematic study of valid inference — spans 2,400 years from Aristotle's syllogistic (c. 350 BCE) to Turing's computation theory (1936). Aristotle's Organon established the syllogism as the fundamental

logic formal logic Aristotle syllogism Boolean algebra Frege
V_2_16 Verified Mathematics & Information

V_2_16 — Analytic Number Theory

Analytic number theory applies the methods of mathematical analysis — complex analysis, Fourier analysis, probability, and asymptotic estimation — to study the distribution and properties of integers, especially prime nu

analytic number theory Riemann zeta function prime number theorem Dirichlet series L-functions Riemann hypothesis
V_2_20 Verified Mathematics & Information

V_2_20 — Gödel's Incompleteness Theorems — Philosophical Implications

Kurt Gödel's incompleteness theorems, published in 1931 in the paper "Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I," constitute one of the most profound results in the history of l

Gödel incompleteness undecidability consistency mathematical truth Hilbert program
V_2_04 Verified Mathematics & Information

V_2_04 — Geometry: Euclid to Non-Euclidean Revolution

Euclid's Elements* (c. 300 BCE, Alexandria) is the most influential textbook in human history — the second most printed book after the Bible — establishing the axiomatic method** (definitions, postulates, common notions

geometry Euclid Elements axiom parallel postulate Lobachevsky
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_05 Verified Mathematics & Information

V_2_05 — Calculus & Infinitesimals: Newton, Leibniz & the Kerala School

Calculus — the mathematics of continuous change — is arguably the most powerful intellectual tool ever created, enabling the scientific revolution, modern physics, engineering, economics, and computation.

calculus Newton Leibniz Kerala school Madhava infinitesimal
V_2_08 Verified Mathematics & Information

V_2_08 — Mathematical Proof: History & Philosophy

Mathematical proof — the definitive demonstration that a statement follows necessarily from accepted axioms — is the distinguishing feature of mathematics as a discipline. The axiomatic-deductive method originated with t

mathematical proof axiomatic method Euclid proof by contradiction reductio ad absurdum Four Color Theorem
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
A_1_18 Verified Foundations

A_1_18 — Sumerian King List: Antediluvian Records and Divine Kingship

The Sumerian King List (SKL) is a cuneiform document cataloguing the rulers of Sumer from the beginning of kingship — which "descended from heaven" — through successive dynasties across multiple city-states. The most com

Sumerian King List antediluvian kings Eridu Kish kingship descended from heaven Alulim
A_4_28 Verified Foundations

A_4_28 — Nihon Shoki: Japan's Chronicle of Gods and Sovereigns

The Nihon Shoki (日本書紀, "Chronicles of Japan," also known as Nihongi) is the second-oldest extant Japanese historical text (after the Kojiki, 712 CE), completed in 720 CE under the supervision of Prince Toneri (舎人親王, 676–

Nihon Shoki Nihongi Japanese mythology Amaterasu imperial genealogy kami
A_3_19 Credible Foundations

A_3_19 — Basque Mythology & Creation Traditions

Basque mythology represents one of Europe's oldest surviving pre-Indo-European belief systems, preserved through the oral traditions of the Basque people (self-named Euskaldunak) of the western Pyrenees (the Basque Count

Basque Euskara Mari Sugaar Jentilak Basajaun
U_5_20 Verified Art, Music & Culture

U_5_20 — Sacred Geography: Landscape, Pilgrimage, and Ritual Space

Sacred geography is the study of how human cultures invest physical landscapes with spiritual, cosmological, and mythological significance — transforming terrain into hierophanic space where the divine intersects the mat

sacred geography sacred landscape pilgrimage ritual space axis mundi hierophany
U_5_21 Verified Art, Music & Culture

U_5_21 — Upper Paleolithic Art: Cave Painting, Portable Art, and Symbolic Cognition

Upper Paleolithic art — spanning approximately 45,000 to 10,000 years ago — represents the earliest unambiguous evidence of complex symbolic cognition in Homo sapiens. The corpus includes parietal (cave wall) art at over

upper paleolithic cave art lascaux chauvet altamira cave painting
U_5_22 Verified Art, Music & Culture

U_5_22 — Cultural Heritage: Preservation, Repatriation, and Living Traditions

Cultural heritage encompasses the tangible and intangible expressions of human civilization — monuments, artifacts, languages, rituals, oral traditions, traditional knowledge systems — that communities identify as inheri

cultural heritage intangible heritage UNESCO repatriation NAGPRA world heritage
U_5_26 Verified Art, Music & Culture

U_5_26 — Sacred Drumming, Rhythm & Percussion Traditions

Drumming is arguably the oldest and most universal musical practice, with archaeological evidence stretching to the Neolithic period and ethnographic documentation across every inhabited continent. From Siberian shamanic

sacred drumming frame drum shamanic drum percussion rhythm trance
U_5_23 Verified Art, Music & Culture

U_5_23 — Music: Origins, Neuroscience, and Cross-Cultural Universals

Music is a universal human behavior — no known culture lacks it — yet its evolutionary origins, neurological basis, and cross-cultural structures remain among the most debated topics in cognitive science, anthropology, a

music origins music cognition neuroscience of music bone flute divje babe music universals