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  2. Path of Exile 2 - Wikipedia

    en.wikipedia.org/wiki/Path_of_Exile_2

    Like its predecessor, Path of Exile 2 is an isometric action role-playing dungeon crawling video game. It introduces a new skill system with 240 active skill gems and 200 support gems. There will be twelve character classes that have three ascendancy classes each. New weapons will be introduced such as spears, crossbows and flail, as well as ...

  3. Path of Exile - Wikipedia

    en.wikipedia.org/wiki/Path_of_Exile

    2.2 Ascendancy: 4 March 2016 The expansion included more than the usual new items and new skills adding 19 ascendancy classes. [56] This expansion was also timed to be made live at the same time as the Perandus challenge leagues. The ascendancy classes are each tied to one of the base classes, with three ascendancy classes for each base class ...

  4. Kolmogorov equations - Wikipedia

    en.wikipedia.org/wiki/Kolmogorov_equations

    [2] William Feller, in 1949, used the names "forward equation" and "backward equation" for his more general version of the Kolmogorov's pair, in both jump and diffusion processes. [1] Much later, in 1956, he referred to the equations for the jump process as "Kolmogorov forward equations" and "Kolmogorov backward equations". [3]

  5. Differential-algebraic system of equations - Wikipedia

    en.wikipedia.org/wiki/Differential-algebraic...

    In mathematics, a differential-algebraic system of equations (DAE) is a system of equations that either contains differential equations and algebraic equations, or is equivalent to such a system. The set of the solutions of such a system is a differential algebraic variety , and corresponds to an ideal in a differential algebra of differential ...

  6. System of differential equations - Wikipedia

    en.wikipedia.org/wiki/System_of_differential...

    For an arbitrary system of ODEs, a set of solutions (), …, are said to be linearly-independent if: + … + = is satisfied only for = … = =.A second-order differential equation ¨ = (,, ˙) may be converted into a system of first order linear differential equations by defining = ˙, which gives us the first-order system:

  7. System of equations - Wikipedia

    en.wikipedia.org/wiki/System_of_equations

    In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought. An equation system is usually classified in the same manner as single equations, namely as a: System of linear equations, System of nonlinear equations,

  8. Ascendency - Wikipedia

    en.wikipedia.org/wiki/Ascendency

    Ascendency or ascendancy is a quantitative attribute of an ecosystem, defined as a function of the ecosystem's trophic network. Ascendency is derived using mathematical tools from information theory .

  9. Forcing function (differential equations) - Wikipedia

    en.wikipedia.org/wiki/Forcing_function...

    In a system of differential equations used to describe a time-dependent process, a forcing function is a function that appears in the equations and is only a function of time, and not of any of the other variables. [1] [2] In effect, it is a constant for each value of t.

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