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.

3,665 results for "P vs NP" — page 176 of 184

ZA_5_00 Physics & Quantum

ZA_5_00 — Quantum Technology Applications: Subfolder Summary

ZA_0_00 Physics & Quantum

ZA_0_00 — Physics & Quantum Mechanics: Section Summary

ZA_3_13 Verified Physics & Quantum

ZA_3_13 — Higgs Boson: The Origin of Mass and the Standard Model's Final Piece

The Higgs boson — discovered on July 4, 2012, by the ATLAS and CMS experiments at CERN's Large Hadron Collider (LHC) — is the quantum excitation of the Higgs field, a scalar field that permeates all of space and gives ma

Higgs boson Higgs field Higgs mechanism electroweak symmetry breaking LHC ATLAS
ZA_3_00 Physics & Quantum

ZA_3_00 — Particle Nuclear Physics: Subfolder Summary

I_0_00 UAP Disclosure

I_0_00 — UAP Disclosure: Section Summary

I_2_00 UAP Disclosure

I_2_00 — Government Programs Policy: Subfolder Summary

I_1_11 Credible UAP Disclosure

I_1_11 — Foo Fighters & Ghost Rockets

The "foo fighters" of World War II (1944–1945) and the "ghost rockets" of Scandinavia (1946) represent the earliest well-documented waves of anomalous aerial phenomena reported by trained military observers — predating t

foo fighters ghost rockets World War II UFO history 415th Night Fighter Squadron Scandinavia
I_1_12 Speculative UAP Disclosure

I_1_12 — Classic Abduction Cases — Hill & Walton

The alien abduction phenomenon — accounts by individuals who claim to have been taken against their will by non-human entities, subjected to physical examinations, and returned with partial or no memory of the event — is

abduction Betty Hill Barney Hill Travis Walton alien encounter hypnotic regression
I_1_00 UAP Disclosure

I_1_00 — Core Concepts Classification: Subfolder Summary

I_5_00 UAP Disclosure

I_5_00 — Cultural Psychological Phenomena: Subfolder Summary

V_1_05 Verified Mathematics & Information

V_1_05 — Ancient Number Systems & Gematria

Every literate civilization developed a number system, and the diversity of these systems reveals both universal mathematical needs and culturally specific solutions.

number systems gematria Babylonian base-60 sexagesimal Egyptian fractions Rhind Papyrus
V_1_14 Verified Mathematics & Information

V_1_14 — Mathematical Constants: e, φ, √2, and Beyond

Mathematical constants are fixed numerical values that arise naturally from mathematical structures — appearing independently across diverse areas from geometry and analysis to probability and physics. The most famous, $

mathematical constants pi Euler number golden ratio phi square root two
V_1_10 Verified Mathematics & Information

V_1_10 — Ancient Greek Mathematics

Ancient Greek mathematics (c. 600 BCE – 500 CE) transformed mathematics from a collection of empirical recipes into a deductive science built on axioms, definitions, and rigorous proof. Thales of Miletus (c. 624–546 BCE)

Greek mathematics Euclid Elements Pythagoras Archimedes Thales
V_1_15 Credible Mathematics & Information

V_1_15 — Indian Mathematics: Zero, Infinity, and the Decimal System

Indian mathematics represents one of the most profound and consequential mathematical traditions in human history — contributing foundational innovations that shaped the course of global mathematics, most notably the dec

Indian mathematics zero decimal Aryabhata Brahmagupta Bhaskara
V_1_16 Credible Mathematics & Information

V_1_16 — History of Mathematical Notation: Symbols, Conventions, and Communication

The history of mathematical notation reveals that mathematics is not merely a body of truths but also a system of communication whose power depends critically on the symbols used to express it. Good notation does not mer

mathematical notation mathematical symbols history of mathematics numeral systems algebra notation calculus notation
V_1_11 Verified Mathematics & Information

V_1_11 — Islamic Golden Age Mathematics

Islamic Golden Age mathematics (c. 750–1500 CE) preserved, synthesized, and dramatically extended the mathematical traditions of Greece, India, Persia, and Mesopotamia, creating entirely new fields and transmitting the r

Islamic mathematics al-Khwarizmi algebra algorithm Omar Khayyam cubic equations
V_1_18 Credible Mathematics & Information

V_1_18 — Ethnomathematics: Mathematics Across Cultures

Ethnomathematics — the study of mathematical ideas, methods, and practices developed by cultural groups outside the Western academic tradition — was formalized as a field by Ubiratan D'Ambrosio (Brazil, 1985), who argued

ethnomathematics indigenous-mathematics quipu ishango-bone sand-drawing sona
V_1_06 Verified Mathematics & Information

V_1_06 — Mathematics of Music: Harmonic Ratios & Tuning Systems

The relationship between mathematics and music is among the oldest in intellectual history. Pythagoras (c. 570–495 BCE) is traditionally credited with discovering that consonant musical intervals correspond to simple num

music theory mathematics Pythagorean tuning harmonic ratios equal temperament Fourier analysis
V_1_12 Verified Mathematics & Information

V_1_12 — Chinese Mathematics History

Chinese mathematics developed independently over at least 3,000 years, producing remarkable achievements often centuries before their European counterparts. The Jiuzhang Suanshu (Nine Chapters on the Mathematical Art, co

Chinese mathematics Nine Chapters rod calculus counting rods Liu Hui Zu Chongzhi
V_4_00 Mathematics & Information

V_4_00 — Computational Modern: Subfolder Summary