In mathematics, when a mathematical phenomenon runs counter to some intuition, then the phenomenon is sometimes called pathological. On the other hand...

theory Defined and undefined Degeneracy (mathematics) Hyperbolic growth Movable singularity Pathological (mathematics) Regular singularity Singular solution...

system. Degeneracy (graph theory) Degenerate form Trivial (mathematics) Pathological (mathematics) Vacuous truth Weisstein, Eric W. "Degenerate". mathworld...

non-differentiable continuous functions pathological. rigor (rigour) The act of establishing a mathematical result using indisputable logic, rather than...

Mathematical logic is the study of formal logic within mathematics. Major subareas include model theory, proof theory, set theory, and recursion theory...

Foundations of mathematics are the logical and mathematical framework that allows the development of mathematics without generating self-contradictory...

Analysis is the branch of mathematics dealing with continuous functions, limits, and related theories, such as differentiation, integration, measure,...

§ Well-definedness under an equivalence relation Definitionism Existence Pathological (mathematics) Uniqueness Uniqueness quantification Undefined Well-formed formula...

non-trivial. Degeneracy Initial and terminal objects List of mathematical jargon Pathological Trivialism Trivial measure Trivial representation Trivial topology...

In mathematics, a ring is an algebraic structure consisting of a set with two binary operations called addition and multiplication, which obey the same...

of such problems include certain mathematical functions, the analysis of some puzzles and games, and some pathological examples which can be modelled as...

the formulation of clinical biochemistry problems in mathematical formulations of pathological, biochemical changes of interest to Physiology, Clinical...

capture the original topos. But, far from being pathological, these topoi can be of great mathematical interest. For instance, Grothendieck's theory of...

In mathematical analysis, the staircase paradox is a pathological example showing that limits of curves do not necessarily preserve their length. It consists...

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...

orthogonal group. This result depends on the axiom of choice. Pathological (mathematics) Wagon, Stan; Tomkowicz, Grzegorz (2016). The Banach–Tarski Paradox...

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...

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...

Pseudomathematics, or mathematical crankery, is a mathematics-like activity that does not adhere to the framework of rigor of formal mathematical practice. Common...

In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point. More precisely, an n {\displaystyle n} -dimensional...

functions) Standard probability space, a non-pathological probability space This disambiguation page lists mathematics articles associated with the same title...

reversal of handedness in helical curves Pathological (mathematics), a particularly "badly-behaved" mathematical object Perverse incentives Perverse voting...

In mathematics, a topos (US: /ˈtɒpɒs/, UK: /ˈtoʊpoʊs, ˈtoʊpɒs/; plural topoi /ˈtɒpɔɪ/ or /ˈtoʊpɔɪ/, or toposes) is a category that behaves like the category...

airing on TNT Behavior (disambiguation) Good (disambiguation) Pathological (mathematics) Bad Behaviour (disambiguation) This disambiguation page lists...

clinical pathology. Pathological (mathematics), any mathematical phenomenon considered atypically bad or counterintuitive Pathological science, a process...

theory is an interdisciplinary area of scientific study and branch of mathematics. It focuses on underlying patterns and deterministic laws of dynamical...

curve. The Weierstrass function has historically served the role of a pathological function, being the first published example (1872) specifically concocted...

functions with discontinuities arising in many applications that are pathological from the perspective of the Riemann integral. The Lebesgue integral also...

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...

for any program f that might determine whether programs halt, that a "pathological" program g exists for which f makes an incorrect determination. Specifically...