In mathematics, when a mathematical phenomenon runs counter to some intuition, then the phenomenon is sometimes called pathological. On the other hand...
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theory Defined and undefined Degeneracy (mathematics) Hyperbolic growth Movable singularity Pathological (mathematics) Regular singularity Singular solution...
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system. Degeneracy (graph theory) Degenerate form Trivial (mathematics) Pathological (mathematics) Vacuous truth Weisstein, Eric W. "Degenerate". mathworld...
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non-differentiable continuous functions pathological. rigor (rigour) The act of establishing a mathematical result using indisputable logic, rather than...
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Mathematical logic is the study of formal logic within mathematics. Major subareas include model theory, proof theory, set theory, and recursion theory...
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Foundations of mathematics are the logical and mathematical framework that allows the development of mathematics without generating self-contradictory...
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In mathematics, a ring is an algebraic structure consisting of a set with two binary operations called addition and multiplication, which obey the same...
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non-trivial. Degeneracy Initial and terminal objects List of mathematical jargon Pathological Trivialism Trivial measure Trivial representation Trivial topology...
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Analysis is the branch of mathematics dealing with continuous functions, limits, and related theories, such as differentiation, integration, measure,...
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Well-defined expression (category Mathematical terminology)
§ Well-definedness under an equivalence relation Definitionism Existence Pathological (mathematics) Uniqueness Uniqueness quantification Undefined Well-formed formula...
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the formulation of clinical biochemistry problems in mathematical formulations of pathological, biochemical changes of interest to Physiology, Clinical...
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Staircase paradox (category Limits (mathematics))
In mathematical analysis, the staircase paradox is a pathological example showing that limits of curves do not necessarily preserve their length. It consists...
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capture the original topos. But, far from being pathological, these topoi can be of great mathematical interest. For instance, Grothendieck's theory of...
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Combinatorial explosion (redirect from Combinatorial explosion (mathematics))
of such problems include certain mathematical functions, the analysis of some puzzles and games, and some pathological examples which can be modelled as...
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orthogonal group. This result depends on the axiom of choice. Pathological (mathematics) Wagon, Stan; Tomkowicz, Grzegorz (2016). The Banach–Tarski Paradox...
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Look up sheaf in Wiktionary, the free dictionary. In mathematics, a sheaf (pl.: sheaves) is a tool for systematically tracking data (such as sets, abelian...
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In mathematics, a knot is an embedding of the circle (S1) into three-dimensional Euclidean space, R3 (also known as E3). Often two knots are considered...
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Manifold (redirect from Manifold (mathematics))
In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point. More precisely, an n {\displaystyle n} -dimensional...
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Calculus (redirect from Calculus (mathematics))
Calculus is the mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations...
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Pseudomathematics (redirect from Pseudo-mathematics)
Pseudomathematics, or mathematical crankery, is a mathematics-like activity that does not adhere to the framework of rigor of formal mathematical practice. Common...
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reversal of handedness in helical curves Pathological (mathematics), a particularly "badly-behaved" mathematical object Perverse incentives Perverse voting...
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Lebesgue space (category Mathematics disambiguation pages)
functions) Standard probability space, a non-pathological probability space This disambiguation page lists mathematics articles associated with the same title...
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Topos (redirect from Topos (mathematics))
In mathematics, a topos (US: /ˈtɒpɒs/, UK: /ˈtoʊpoʊs, ˈtoʊpɒs/; plural topoi /ˈtɒpɔɪ/ or /ˈtoʊpɔɪ/, or toposes) is a category that behaves like the category...
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airing on TNT Behavior (disambiguation) Good (disambiguation) Pathological (mathematics) Bad Behaviour (disambiguation) This disambiguation page lists...
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curve. The Weierstrass function has historically served the role of a pathological function, being the first published example (1872) specifically concocted...
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Lebesgue integral (category Definitions of mathematical integration)
functions with discontinuities arising in many applications that are pathological from the perspective of the Riemann integral. The Lebesgue integral also...
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Halting problem (category Mathematical problems)
for any program f that might determine whether programs halt, that a "pathological" program g exists for which f makes an incorrect determination. Specifically...
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The Alexander horned sphere is a pathological object in topology discovered by J. W. Alexander (1924). It is a particular topological embedding of a two-dimensional...
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Chaos theory (redirect from Chaos (Mathematics))
theory is an interdisciplinary area of scientific study and branch of mathematics. It focuses on underlying patterns and deterministic laws of dynamical...
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clinical pathology. Pathological (mathematics), any mathematical phenomenon considered atypically bad or counterintuitive Pathological science, a process...
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