affine transformation

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Noun1.affine transformation - (mathematics) a transformation that is a combination of single transformations such as translation or rotation or reflection on an axisaffine transformation - (mathematics) a transformation that is a combination of single transformations such as translation or rotation or reflection on an axis
math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement
transformation - (mathematics) a function that changes the position or direction of the axes of a coordinate system
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Factor [k.sub.1] together with [k.sub.2] make an affine function of reference stock level depending on market demand, given in the following form
Impact of Control System Structure and Performance of Inventory Goods Flow System with Long-Variable Delay
Besides, this work has explained the process of normalization by homographic function and combination with an affine function by trying to sweep the present main measures in the literature with the aim of a presentation easier to understand.
Toward a Theory of Normalizing Function of Interestingness Measure of Binary Association Rules
In [15] the actual enthalpy was modeled as an affine function of mass flow.
Control-Oriented Compressor Model with Adiabatic Efficiency Extrapolation
ATSMs assume that the short-term interest rate is an affine function (2) of a state vector X(t) of N underlying factors, which can be observable (macroeconomic variables) or latent (Piazzesi, 2010).
Affine Term Structure Models: Forecasting the Yield Curve for Colombia/Modelos afines de la estructura a plazos de tasas de interes: Pronosticando la curva de rendimientos para Colombia/Modeles affines de la structure a termes des taux d'interet: Previsions de la courbe de rendements pour le cas de Colombie
Its border can be interpreted as the graph of a piecewise affine function [[omega].sub.[lambda]].
Super quasi-symmetric functions via young diagrams
In [23], the systematical procedures for the analytical expression of explicit control laws of linear MPC via piecewise affine function are given, which saves the online computation time and memory requirements.
Robust tube-based MPC with piecewise affine control laws
Consider that f is a non-constant [GAMMA]-linear affine function and let f'(b) be the left derivative of f at b.
One dimensional maximum principle in geometric setting
ALPHA and MMALPHA use this syntax for specifying a multidimensional affine function in many different contexts (e.g., the projection function in a reduce expression).
Optimizing Memory Usage in the Polyhedral Model
Suppose that the function h is an affine function: h([x.sub.i]) = a + b[x.sub.i] where a is a nonnegative constant and b is a positive constant.
Effort levels in contests with two asymmetric players
Using the mathematical induction, it can be proved that every affine function f: A [right arrow] R satisfies the equality
Convex combination inequalities of the line and plane
Moreover, the radius [[rho].sub.u] of F(z, u) is an affine function of u when u [member of] [-1,0]:
Spanning forests in regular planar maps
The function sin([phi]) is approximated by a piecewise affine function yielding a piecewise affine system with 5 regions as follows:
Model predictive control of piecewise affine system with constrained input and time delay

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