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  2. Reduced form - Wikipedia

    en.wikipedia.org/wiki/Reduced_form

    In econometrics, the equations of a structural form model are estimated in their theoretically given form, while an alternative approach to estimation is to first solve the theoretical equations for the endogenous variables to obtain reduced form equations, and then to estimate the reduced form equations.

  3. Reduction (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Reduction_(mathematics)

    In linear algebra, reduction refers to applying simple rules to a series of equations or matrices to change them into a simpler form. In the case of matrices, the process involves manipulating either the rows or the columns of the matrix and so is usually referred to as row-reduction or column-reduction, respectively.

  4. Cubic equation - Wikipedia

    en.wikipedia.org/wiki/Cubic_equation

    In the early 16th century, the Italian mathematician Scipione del Ferro (1465–1526) found a method for solving a class of cubic equations, namely those of the form x 3 + mx = n. In fact, all cubic equations can be reduced to this form if one allows m and n to be negative, but negative numbers were not known to him at that time. Del Ferro kept ...

  5. Row echelon form - Wikipedia

    en.wikipedia.org/wiki/Row_echelon_form

    A system of linear equations is said to be in row echelon form if its augmented matrix is in row echelon form. Similarly, a system of linear equations is said to be in reduced row echelon form or in canonical form if its augmented matrix is in reduced row echelon form. The canonical form may be viewed as an explicit solution of the linear system.

  6. Reduced properties - Wikipedia

    en.wikipedia.org/wiki/Reduced_properties

    These dimensionless thermodynamic coordinates, taken together with a substance's compressibility factor, provide the basis for the simplest form of the theorem of corresponding states. [1] Reduced properties are also used to define the Peng–Robinson equation of state, a model designed to provide reasonable accuracy near the critical point. [2]

  7. Modular forms modulo p - Wikipedia

    en.wikipedia.org/wiki/Modular_forms_modulo_p

    So if is a modular form, then there are coefficients () such that () = (). To reduce modulo 2, consider the subspace of modular forms with coefficients of the q {\displaystyle q} -series being all integers (since complex numbers , in general, may not be reduced modulo 2).

  8. Equation - Wikipedia

    en.wikipedia.org/wiki/Equation

    A system of equations is a set of simultaneous equations, usually in several unknowns for which the common solutions are sought. Thus, a solution to the system is a set of values for each of the unknowns, which together form a solution to each equation in the system. For example, the system

  9. Reduced mass - Wikipedia

    en.wikipedia.org/wiki/Reduced_mass

    In physics, reduced mass is a measure of the effective inertial mass of a system with two or more particles when the particles are interacting with each other. Reduced mass allows the two-body problem to be solved as if it were a one-body problem. Note, however, that the mass determining the gravitational force is not reduced.

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