RESEARCH BASE
Search 3,721 documents across 34 fields — every claim tier-rated by evidence
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.
443 results for "group theory" — page 14 of 23
ZD_1_16 — Quantum Information Theory
Quantum information theory — the study of how information is encoded, processed, and transmitted using quantum mechanical systems — has emerged as one of the most transformative research fields of the 21st century, unify
ZD_1_03 — Information as Fundamental Reality
Multiple converging lines of evidence suggest information, not matter or energy, may be the most fundamental constituent of reality. From Wheeler's "It from Bit" to the holographic principle (3D reality encoded on 2D bou
ZD_5_03 — Semiotics: Signs, Symbols, and Meaning Theory
Semiotics (also semiology) — the study of signs, symbols, and meaning-making processes — is a foundational discipline that bridges linguistics, philosophy, cultural studies, communication theory, visual arts, and informa
ZD_4_06 — Mathematical Sociology and Network Analysis
Mathematical sociology applies formal mathematical models — graph theory, probability, game theory, dynamical systems, and statistical mechanics — to understand social structures, collective behavior, and institutional d
ZD_4_11 — Social Network Analysis — Granovetter, Small Worlds, Influence
Social network analysis (SNA) — the study of social structures through the use of graph theory and network science, where individuals (or organizations, nations, etc.) are represented as nodes and their relationships (fr
ZD_2_01 — Machine Learning Mathematics
Machine learning — the science of algorithms that improve through experience — rests on a rich mathematical foundation spanning optimization, statistics, linear algebra, probability, and functional analysis. The core mat
L_1_03 — Mitochondrial Eve, Y-Chromosomal Adam & Population Origins
Mitochondrial Eve and Y-chromosomal Adam are the most recent common ancestors of all living humans along strictly maternal and strictly paternal lines. They were not the first woman and man, were not a couple, and do not
L_4_03 — Genetic Clocks and Molecular Dating
The molecular clock — the concept that DNA and protein sequences accumulate mutations at approximately regular rates over time — provides a powerful tool for dating evolutionary divergences independently of the fossil re
L_4_02 — Mendel, Inheritance, and the Rediscovery of Genetics
Gregor Johann Mendel (1822–1884), an Augustinian friar at the St. Thomas Abbey in Brno (then part of the Austrian Empire), conducted the foundational experiments in genetics by systematically crossing garden pea plants (
L_4_08 — Genetic Genealogy and Forensic Genomics
Genetic genealogy — the use of DNA testing for genealogical purposes — has undergone an explosive expansion since the early 2000s, driven by direct-to-consumer (DTC) genetic testing companies (23andMe, AncestryDNA, MyHer
L_4_15 — Y-Chromosome and mtDNA Mismatch Patterns in Human Populations
The Y chromosome (paternally inherited, non-recombining) and mitochondrial DNA (maternally inherited) provide independent genealogical records of male and female lineage histories, respectively. When these two markers te
L_2_02 — Population Genetics and Hardy-Weinberg Equilibrium
Population genetics — the mathematical study of allele frequency change in populations — provides the quantitative framework underlying evolutionary biology. The Hardy-Weinberg principle (1908), independently derived by
L_2_05 — Americas Peopling Genetics
The peopling of the Americas is one of the clearest cases where ancient DNA and archaeology have converged to overturn an older narrative. The core model now favored by genetics is that the main ancestry of Indigenous Am
L_2_04 — Oceanian Genetics and Pacific Migration
The human settlement of Oceania represents the last major expansion of Homo sapiens across the globe, and the most remarkable feat of maritime exploration in human history. It occurred in two major phases separated by ~4
L_2_09 — Genetic History of the Americas: Clovis to Contact
The genetic history of the Americas — from the initial peopling of the New World to the devastating population collapse after European contact — is one of the most intensively studied and rapidly evolving areas of paleog
L_3_16 — Genomic Imprinting & Evolutionary Conflict
Genomic imprinting — the epigenetic phenomenon in which a subset of genes (~100–200 in mammals) are expressed from only one parental allele, with the other allele silenced by DNA methylation and histone modification esta
L_3_04 — Y-Chromosome Phylogeny and Patrilineal Deep History
The Y chromosome, transmitted exclusively from father to son, provides a uniquely informative window into patrilineal human history.
L_3_05 — Blood Type Genetics and the ABO System
Blood group genetics represents one of the earliest and most clinically important applications of Mendelian inheritance in human biology. Karl Landsteiner's discovery of the ABO blood group system (1900–1901) — which ear
Y_5_07 — Phenomenology of Pain and Pain Modulation
Pain — defined by the International Association for the Study of Pain (IASP, revised 2020) as "an unpleasant sensory and emotional experience associated with, or resembling that associated with, actual or potential tissu
Y_2_11 — Déjà Vu and Anomalous Memory Experiences
Déjà vu — from the French "already seen" — is the subjective, compelling sensation that a present experience has been previously encountered, despite the experiencer's knowledge that the situation is objectively novel. F
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