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In the study of differential equations, a boundary-value problem is a differential equation subjected to constraints called boundary conditions. [1] A solution to a boundary value problem is a solution to the differential equation which also satisfies the boundary conditions. Boundary value problems arise in several branches of physics as any ...
e. 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 ...
A performance indicator or key performance indicator ( KPI) is a type of performance measurement. [1] KPIs evaluate the success of an organization or of a particular activity (such as projects, programs, products and other initiatives) in which it engages. [2] KPIs provide a focus for strategic and operational improvement, create an analytical ...
e. In mathematics, an ordinary differential equation ( ODE) is a differential equation (DE) dependent on only a single independent variable. As with other DE, its unknown (s) consists of one (or more) function (s) and involves the derivatives of those functions. [1] The term "ordinary" is used in contrast with partial differential equations ...
Stiff equation. In mathematics, a stiff equation is a differential equation for which certain numerical methods for solving the equation are numerically unstable, unless the step size is taken to be extremely small. It has proven difficult to formulate a precise definition of stiffness, but the main idea is that the equation includes some terms ...
Riccati equation. In mathematics, a Riccati equation in the narrowest sense is any first-order ordinary differential equation that is quadratic in the unknown function. In other words, it is an equation of the form. where and . If the equation reduces to a Bernoulli equation, while if the equation becomes a first order linear ordinary ...
An ode (from Ancient Greek: ᾠδή, romanized : ōdḗ) is a type of lyric poetry, with its origins in Ancient Greece. Odes are elaborately structured poems praising or glorifying an event or individual, describing nature intellectually as well as emotionally. A classic ode is structured in three major parts: the strophe, the antistrophe, and ...
t. e. Performance Index Rating (PIR) is a basketball mathematical statistical formula that is used by the Euroleague Basketball Company 's first and second tier competitions, the EuroLeague and the EuroCup, as well as various European national domestic and regional leagues. It is a part of the Tendex basketball rating system.