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In set theory, a mouse is a small model of (a fragment of) Zermelo–Fraenkel set theory with desirable properties. The exact definition depends on the context. In most cases, there is a technical definition of "premouse" and an added condition of iterability (referring to the existence of wellfounded iterated ultrapowers): a mouse is then an iterable premouse.
The notion of a Morse function can be generalized to consider functions that have nondegenerate manifolds of critical points. A Morse–Bott function is a smooth function on a manifold whose critical set is a closed submanifold and whose Hessian is non-degenerate in the normal direction. (Equivalently, the kernel of the Hessian at a critical ...
Theory of functions of a complex variable, the historical name for complex analysis, the branch of mathematical analysis that investigates functions of complex numbers; Constructive function theory, the study of the connection between the smoothness of a function and its degree of approximation
Chinese zodiac pendant with 5 rats climbing ruyi, bat at top of pendant Two mice, Vietnam Museum of Ethnology - Hanoi Chuột rước đèn (The mouse carries the lamp), Vietnamese Đông Hồ painting. The rat (sometimes referred to as a mouse) is the first of the twelve animals of the Chinese zodiac. People born in this year are expected to ...
"The Mouse", a common nickname for the Walt Disney Company, after the company mascot Mickey Mouse; Mouse (bull), or Ratón (2001–2013), a Spanish fighting bull; Mouse, a 2012 Sri Lankan film; Mouse (G.I. Joe), a character in the short-lived Sgt. Savage and his Screaming Eagles toy line; Mouse, also adapted into an anime series
The function () = | {, …,} |, assigning densities to sufficiently well-behaved subsets {,,, …}, is a set function. A probability measure assigns a probability to each set in a σ-algebra . Specifically, the probability of the empty set is zero and the probability of the sample space is 1 , {\displaystyle 1,} with other sets given ...
Dog pregnancies are typically divided into three stages: 1-3 Weeks: Small changes take place with a female dog’s body and behavior. It’s often hard to tell that they are pregnant this early ...
In mathematics, specifically category theory, a functor is a mapping between categories.Functors were first considered in algebraic topology, where algebraic objects (such as the fundamental group) are associated to topological spaces, and maps between these algebraic objects are associated to continuous maps between spaces.