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.

8 results for "bounded operator"

V_3_15 Credible Mathematics & Information

V_3_15 — Functional Analysis: Infinite-Dimensional Spaces and Operators

Functional analysis — the study of infinite-dimensional vector spaces (function spaces) and the linear operators acting on them — is one of the great unifying frameworks of 20th-century mathematics. It provides the rigor

functional analysis Banach space Hilbert space operator theory spectral theory normed space
ZB_1_17 Credible Ecology & Biology

ZB_1_17 — Cognitive Ecology and Animal Decision-Making

Cognitive ecology — the study of how animals' cognitive abilities (perception, learning, memory, decision-making) have been shaped by the ecological challenges they face — bridges behavioral ecology, comparative psycholo

cognitive-ecology animal-decision-making optimal-foraging bounded-rationality heuristics brain-size
ZC_1_07 Verified Social Science

ZC_1_07 — Behavioral Economics — Nudge Theory & Decision-Making

Behavioral economics integrates psychological insights into economic models of human decision-making, challenging the neoclassical assumption of perfectly rational "Homo economicus" and documenting systematic deviations

behavioral economics nudge theory prospect theory Thaler Sunstein Kahneman
T_4_08 Verified Psychology & Social

T_4_08 — Behavioral Economics and Nudge Theory

Behavioral economics integrates psychology into economic models, challenging the rational agent (homo economicus) assumption of classical economics. The field was established by Daniel Kahneman and Amos Tversky's Prospec

behavioral economics nudge theory prospect theory Kahneman Tversky Thaler
T_3_06 Verified Psychology & Social

T_3_06 — Psychology of Decision Making

The psychology of decision making — transformed by Kahneman & Tversky's heuristics and biases program (1970s) and formalized in prospect theory (1979, Nobel Prize in Economics 2002) — demonstrates that human judgment and

decision making judgment heuristics biases Kahneman Tversky
T_3_01 Verified Psychology & Social

T_3_01 — Cognitive Biases & Heuristics

Cognitive biases are systematic deviations from rational judgment that arise from the brain's use of mental shortcuts (heuristics) to process complex information under uncertainty.

cognitive bias heuristic Kahneman Tversky confirmation bias anchoring
T_5_22 Verified Psychology & Social

T_5_22 — Heuristics & Cognitive Biases: Systematic Errors in Human Judgment

Heuristics are mental shortcuts that enable fast, efficient decision-making under conditions of uncertainty — and cognitive biases are the systematic errors that result when those shortcuts misfire. The heuristics-and-bi

cognitive bias heuristics kahneman tversky prospect theory availability heuristic
ZA_1_02 Verified Physics & Quantum

ZA_1_02 — Quantum Field Theory: Foundations of Modern Physics

Quantum Field Theory (QFT) is the theoretical framework that combines quantum mechanics with special relativity, treating particles not as fundamental objects but as excitations — "ripples" — in underlying quantum fields

quantum field theory QFT second quantization Feynman diagrams renormalization virtual particles