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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. 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:

  5. 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,

  6. 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 ...

  7. Liouville's formula - Wikipedia

    en.wikipedia.org/wiki/Liouville's_formula

    In mathematics, Liouville's formula, also known as the Abel–Jacobi–Liouville identity, is an equation that expresses the determinant of a square-matrix solution of a first-order system of homogeneous linear differential equations in terms of the sum of the diagonal coefficients of the system.

  8. Governing equation - Wikipedia

    en.wikipedia.org/wiki/Governing_equation

    The basic equations in classical continuum mechanics are all balance equations, and as such each of them contains a time-derivative term which calculates how much the dependent variable change with time. For an isolated, frictionless / inviscid system the first four equations are the familiar conservation equations in classical mechanics.

  9. Tales of the Grotesque and Arabesque - Wikipedia

    en.wikipedia.org/wiki/Tales_of_the_Grotesque_and...

    Poe probably had seen the terms used by Sir Walter Scott in his essay "On the Supernatural in Fictitious Composition". [6] Both terms refer to a type of Islamic art used to decorate walls, especially in mosques. These art styles are known for their complex nature. Poe had used the term "arabesque" in this sense in his essay "The Philosophy of ...