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  2. System of linear equations - Wikipedia

    en.wikipedia.org/wiki/System_of_linear_equations

    The intersection point is the solution. In mathematics, a system of linear equations (or linear system) is a collection of two or more linear equations involving the same variables. [ 1] [ 2] For example, is a system of three equations in the three variables x, y, z. A solution to a linear system is an assignment of values to the variables such ...

  3. Equation solving - Wikipedia

    en.wikipedia.org/wiki/Equation_solving

    Solving an equation symbolically means that expressions can be used for representing the solutions. For example, the equation x + y = 2x – 1 is solved for the unknown x by the expression x = y + 1, because substituting y + 1 for x in the equation results in (y + 1) + y = 2 (y + 1) – 1, a true statement. It is also possible to take the ...

  4. Ford Focus (first generation) - Wikipedia

    en.wikipedia.org/wiki/Ford_Focus_(first_generation)

    Gasoline engines available were the well-proven 1.8 L and 2.0 L Zetec units from the Ford Mondeo and 1.4 L and 1.6 L versions of the Zetec-S/SE units, also found in the Ford Fiesta and Ford Puma. The ST170 and RS performance models used modified versions of the 2.0 L Zetec .

  5. Reactivity series - Wikipedia

    en.wikipedia.org/wiki/Reactivity_series

    Reactivity series. In chemistry, a reactivity series (or reactivity series of elements) is an empirical, calculated, and structurally analytical progression [ 1] of a series of metals, arranged by their "reactivity" from highest to lowest. [ 2][ 3][ 4] It is used to summarize information about the reactions of metals with acids and water ...

  6. Aufbau principle - Wikipedia

    en.wikipedia.org/wiki/Aufbau_principle

    For example, in copper 29 Cu, according to the Madelung rule, the 4s subshell (n + l = 4 + 0 = 4) is occupied before the 3d subshell (n + l = 3 + 2 = 5). The rule then predicts the electron configuration 1s 2 2s 2 2p 6 3s 2 3p 6 3d 9 4s 2, abbreviated [Ar] 3d 9 4s 2 where [Ar] denotes the configuration of argon, the preceding noble gas.

  7. Periodic table - Wikipedia

    en.wikipedia.org/wiki/Periodic_table

    The periodic table is a tabular arrangement of the chemical elements, organized by their atomic number, electron configuration, and chemical properties. It is a useful tool for understanding the patterns and trends of the elements and their interactions. Learn more about the history, structure, and significance of the periodic table on Wikipedia.

  8. Quadratic formula - Wikipedia

    en.wikipedia.org/wiki/Quadratic_formula

    Quadratic formula. The roots of the quadratic function y = ⁠ 1 2 ⁠x2 − 3x + ⁠ 5 2 ⁠ are the places where the graph intersects the x -axis, the values x = 1 and x = 5. They can be found via the quadratic formula. In elementary algebra, the quadratic formula is a closed-form expression describing the solutions of a quadratic equation.

  9. Category of elements - Wikipedia

    en.wikipedia.org/wiki/Category_of_elements

    The category el (F) of elements of F (also denoted ∫C F) is the category whose: Objects are pairs where and . Morphisms are arrows of such that . An equivalent definition is that the category of elements of is the comma category ∗↓F, where ∗ is a singleton (a set with one element). The category of elements of F is naturally equipped ...