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  2. Partition of unity - Wikipedia

    en.wikipedia.org/wiki/Partition_of_unity

    In mathematics, a partition of unity of a topological space ⁠ ⁠ is a set ⁠ ⁠ of continuous functions from ⁠ ⁠ to the unit interval [0,1] such that for every point : there is a neighbourhood of ⁠ x {\displaystyle x} ⁠ where all but a finite number of the functions of ⁠ R {\displaystyle R} ⁠ are 0, and

  3. Change of variables - Wikipedia

    en.wikipedia.org/wiki/Change_of_variables

    A very simple example of a useful variable change can be seen in the problem of finding the roots of the sixth-degree polynomial: x 6 − 9 x 3 + 8 = 0. {\displaystyle x^{6}-9x^{3}+8=0.} Sixth-degree polynomial equations are generally impossible to solve in terms of radicals (see Abel–Ruffini theorem ).

  4. Unity (game engine) - Wikipedia

    en.wikipedia.org/wiki/Unity_(game_engine)

    These included removing any fees for uses of Unity Personal for projects funded up to $200,000 (an increase from the previous $100,000 threshold), fees would only apply to games developed with Unity 2024 and beyond without any retroactive fees, and the fee would be based on the lesser of 2.5% of monthly revenue or a calculated value based on ...

  5. Unity (user interface) - Wikipedia

    en.wikipedia.org/wiki/Unity_(user_interface)

    It was initially designed to make more efficient use of space given the limited screen size of netbooks, including, for example, a vertical application switcher called the launcher, and a space-saving horizontal multipurpose top menu bar. [7] [8] Unlike GNOME, KDE Plasma, Xfce, or LXDE, Unity is not a collection of applications. It is designed ...

  6. XY problem - Wikipedia

    en.wikipedia.org/wiki/XY_problem

    The XY problem is a communication problem encountered in help desk, technical support, software engineering, or customer service situations where the question is about an end user's attempted solution (X) rather than the root problem itself (Y or Why?). [1] The XY problem obscures the real issues and may even introduce secondary problems that ...

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  8. Integration by substitution - Wikipedia

    en.wikipedia.org/wiki/Integration_by_substitution

    Of course, if Y has probability density p Y, then the answer is: = (), but this is not really useful because we do not know p Y; it is what we are trying to find. We can make progress by considering the problem in the variable X .

  9. Explicit substitution - Wikipedia

    en.wikipedia.org/wiki/Explicit_substitution

    Once substitution has been made explicit, however, the basic properties of substitution change from being semantic to syntactic properties. One most important example is the "substitution lemma", which with the notation of λx becomes (M x:=N ) y:=P = (M y:=P ) x:=(N y:=P ) (where xy and x not free in P)