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  2. Diffeology - Wikipedia

    en.wikipedia.org/wiki/Diffeology

    Recall that a topological manifold is a topological space which is locally homeomorphic to . Differentiable manifolds (also called smooth manifolds) generalize the notion of smoothness on in the following sense: a differentiable manifold is a topological manifold with a differentiable atlas, i.e. a collection of maps from open subsets of to the manifold which are used to "pull back" the ...

  3. Subset - Wikipedia

    en.wikipedia.org/wiki/Subset

    In mathematics, a set A is a subset of a set B if all elements of A are also elements of B; B is then a superset of A. It is possible for A and B to be equal; if they are unequal, then A is a proper subset of B. The relationship of one set being a subset of another is called inclusion (or sometimes containment).

  4. Torus knot - Wikipedia

    en.wikipedia.org/wiki/Torus_knot

    36 7 8 48 7 9 54 8 9 63 g-torus knot. A g-torus knot is a closed curve drawn on a g-torus. ... If a link is a subset of a genus two handlebody, ...

  5. Multiplicatively closed set - Wikipedia

    en.wikipedia.org/wiki/Multiplicatively_closed_set

    A subset S is both saturated and multiplicatively closed if and only if S is the complement of a union of prime ideals. [4] In particular, the complement of a prime ideal is both saturated and multiplicatively closed. The intersection of a family of multiplicative sets is a multiplicative set. The intersection of a family of saturated sets is ...

  6. Regular open set - Wikipedia

    en.wikipedia.org/wiki/Regular_open_set

    The interior of a closed subset of is a regular open subset of and likewise, the closure of an open subset of is a regular closed subset of . [2] The intersection (but not necessarily the union) of two regular open sets is a regular open set. Similarly, the union (but not necessarily the intersection) of two regular closed sets is a regular ...

  7. 49 Times Crows Were Seen Doing Scarily Smart Things - AOL

    www.aol.com/49-surprising-posts-prove-just...

    Captive New Caledonian Crows Have Even Made Hooked Tools From Wire To Obtain Food Despite Never Having Seen Wire Before Image credits: AGreatWind #41 Crow Engaging In A Phenomenon Called “Anting”.

  8. Powerset construction - Wikipedia

    en.wikipedia.org/wiki/Powerset_construction

    [8] [9] A simple example requiring nearly this many states is the language of strings over the alphabet {0,1} in which there are at least n characters, the n th from last of which is 1. It can be represented by an ( n + 1) -state NFA, but it requires 2 n DFA states, one for each n -character suffix of the input; cf. picture for n =4 .

  9. Quasi-delay-insensitive circuit - Wikipedia

    en.wikipedia.org/wiki/Quasi-delay-insensitive...

    A quasi-delay-insensitive circuit (QDI circuit) is an asynchronous circuit design methodology employed in digital logic design.Developed in response to the performance challenges of building sub-micron, multi-core architectures with conventional synchronous designs, QDI circuits exhibit lower power consumption, extremely fine-grain pipelining, high circuit robustness against process–voltage ...