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  2. Wallace tree - Wikipedia

    en.wikipedia.org/wiki/Wallace_tree

    The final product is calculated by the weighted sum of all these partial products. The first step, as said above, is to multiply each bit of one number by each bit of the other, which is accomplished as a simple AND gate, resulting in n 2 {\displaystyle n^{2}} bits; the partial product of bits a m {\displaystyle a_{m}} by b n {\displaystyle b ...

  3. Heaviside cover-up method - Wikipedia

    en.wikipedia.org/wiki/Heaviside_cover-up_method

    Set up a partial fraction for each factor in the denominator. With this framework we apply the cover-up rule to solve for A, B, and C.. D 1 is x + 1; set it equal to zero. This gives the residue for A when x = −1.

  4. Lattice multiplication - Wikipedia

    en.wikipedia.org/wiki/Lattice_multiplication

    For example, to multiply 5.8 by 2.13, the process is the same as to multiply 58 by 213 as described in the preceding section. To find the position of the decimal point in the final answer, one can draw a vertical line from the decimal point in 5.8, and a horizontal line from the decimal point in 2.13. (See picture for Step 4.)

  5. Infinite product - Wikipedia

    en.wikipedia.org/wiki/Infinite_product

    One important result concerning infinite products is that every entire function f(z) (that is, every function that is holomorphic over the entire complex plane) can be factored into an infinite product of entire functions, each with at most a single root. In general, if f has a root of order m at the origin and has other complex roots at u 1, u ...

  6. Partial fraction decomposition - Wikipedia

    en.wikipedia.org/wiki/Partial_fraction_decomposition

    In algebra, the partial fraction decomposition or partial fraction expansion of a rational fraction (that is, a fraction such that the numerator and the denominator are both polynomials) is an operation that consists of expressing the fraction as a sum of a polynomial (possibly zero) and one or several fractions with a simpler denominator.

  7. Grid method multiplication - Wikipedia

    en.wikipedia.org/wiki/Grid_method_multiplication

    While not normally taught as a standard method for multiplying fractions, the grid method can readily be applied to simple cases where it is easier to find a product by breaking it down. For example, the calculation 2 ⁠ 1 / 2 ⁠ × 1 ⁠ 1 / 2 ⁠ can be set out using the grid method

  8. Integration by parts - Wikipedia

    en.wikipedia.org/wiki/Integration_by_parts

    In calculus, and more generally in mathematical analysis, integration by parts or partial integration is a process that finds the integral of a product of functions in terms of the integral of the product of their derivative and antiderivative. It is frequently used to transform the antiderivative of a product of functions into an ...

  9. Summation by parts - Wikipedia

    en.wikipedia.org/wiki/Summation_by_parts

    The formula for an integration by parts is () ′ = [() ()] ′ (). Beside the boundary conditions , we notice that the first integral contains two multiplied functions, one which is integrated in the final integral ( g ′ {\displaystyle g'} becomes g {\displaystyle g} ) and one which is differentiated ( f {\displaystyle f} becomes f ...