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  2. System of linear equations - Wikipedia

    en.wikipedia.org/wiki/System_of_linear_equations

    A solution of a linear system is an assignment of values to the variables ,, …, such that each of the equations is satisfied. The set of all possible solutions is called the solution set. [5] A linear system may behave in any one of three possible ways: The system has infinitely many solutions.

  3. Linear combination - Wikipedia

    en.wikipedia.org/wiki/Linear_combination

    This system of linear equations can easily be solved. First, the first equation simply says that a 3 is 1. Knowing that, we can solve the second equation for a 2, which comes out to −1. Finally, the last equation tells us that a 1 is also −1. Therefore, the only possible way to get a linear combination is with these coefficients. Indeed,

  4. Stapler - Wikipedia

    en.wikipedia.org/wiki/Stapler

    In 1941, the type of paper stapler that is the most common in use was developed: the four-way paper stapler. With the four-way, the operator could either use the stapler to staple papers to wood or cardboard, use pliers for bags, or use the normal way with the head positioned a small distance above the stapling plate.

  5. Change of basis - Wikipedia

    en.wikipedia.org/wiki/Change_of_basis

    A function that has a vector space as its domain is commonly specified as a multivariate function whose variables are the coordinates on some basis of the vector on which the function is applied. When the basis is changed, the expression of the function is changed. This change can be computed by substituting the "old" coordinates for their ...

  6. Turing machine equivalents - Wikipedia

    en.wikipedia.org/wiki/Turing_machine_equivalents

    This is the same as an ordinary k-string Turing machine, except that the transition function δ is restricted so that the input tape can never be changed, and so that the output head can never move left. This model allows us to define deterministic space classes smaller than linear.

  7. Cramer's rule - Wikipedia

    en.wikipedia.org/wiki/Cramer's_rule

    In linear algebra, Cramer's rule is an explicit formula for the solution of a system of linear equations with as many equations as unknowns, valid whenever the system has a unique solution. It expresses the solution in terms of the determinants of the (square) coefficient matrix and of matrices obtained from it by replacing one column by the ...

  8. These are the 20 best Cyber Monday deals under $100 at Walmart

    www.aol.com/lifestyle/these-are-the-best-cyber...

    Cyber Monday deals are already going strong, and that means you still have tons of opportunities to save.Walmart is no exception. The behemoth continues to wow with incredible discounts on your ...

  9. Linear system - Wikipedia

    en.wikipedia.org/wiki/Linear_system

    In other words, if the input x(t) to a linear system is = where δ(t) represents the Dirac delta function, and the corresponding response y(t) of the system is (=) = (,) then the function h(t 2, t 1) is the time-varying impulse response of the system.

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