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  2. Symbolab - Wikipedia

    en.wikipedia.org/wiki/Symbolab

    Symbolab is an answer engine [1] that provides step-by-step solutions to mathematical problems in a range of subjects. [2] It was originally developed by Israeli start-up company EqsQuest Ltd., under whom it was released for public use in 2011. In 2020, the company was acquired by American educational technology website Course Hero. [3] [4]

  3. Completing the square - Wikipedia

    en.wikipedia.org/wiki/Completing_the_square

    It is also used for graphing quadratic functions, deriving the quadratic formula, and more generally in computations involving quadratic polynomials, for example in calculus evaluating Gaussian integrals with a linear term in the exponent, [2] and finding Laplace transforms. [3] [4]

  4. Second fundamental form - Wikipedia

    en.wikipedia.org/wiki/Second_fundamental_form

    The second fundamental form of a general parametric surface S is defined as follows. Let r = r(u 1,u 2) be a regular parametrization of a surface in R 3, where r is a smooth vector-valued function of two variables. It is common to denote the partial derivatives of r with respect to u α by r α, α = 1, 2.

  5. Conjugate gradient method - Wikipedia

    en.wikipedia.org/wiki/Conjugate_gradient_method

    Conjugate gradient, assuming exact arithmetic, converges in at most n steps, where n is the size of the matrix of the system (here n = 2). In mathematics , the conjugate gradient method is an algorithm for the numerical solution of particular systems of linear equations , namely those whose matrix is positive-semidefinite .

  6. Quartic surface - Wikipedia

    en.wikipedia.org/wiki/Quartic_surface

    If the base field is ⁠ ⁠ or ⁠ ⁠ the surface is said to be real or complex respectively. One must be careful to distinguish between algebraic Riemann surfaces , which are in fact quartic curves over ⁠ C {\displaystyle \mathbb {C} } ⁠ , and quartic surfaces over ⁠ R {\displaystyle \mathbb {R} } ⁠ .

  7. Steffensen's method - Wikipedia

    en.wikipedia.org/wiki/Steffensen's_method

    Since the secant method can carry out twice as many steps in the same time as Steffensen's method, [b] in practical use the secant method actually converges faster than Steffensen's method, when both algorithms succeed: The secant method achieves a factor of about (1.6) 22.6 times as many digits for every two steps (two function ...

  8. Slide rule - Wikipedia

    en.wikipedia.org/wiki/Slide_rule

    The 2 on the top scale is placed over the 5.5 on the bottom scale. The resulting quotient, 2.75, can then be read below the top scale's 1: There is more than one method for doing division, and the method presented here has the advantage that the final result cannot be off-scale, because one has a choice of using the 1 at either end.

  9. Quadratic sieve - Wikipedia

    en.wikipedia.org/wiki/Quadratic_sieve

    The quadratic sieve attempts to find pairs of integers x and y(x) (where y(x) is a function of x) satisfying a much weaker condition than x 2 ≡ y 2 (mod n). It selects a set of primes called the factor base , and attempts to find x such that the least absolute remainder of y ( x ) = x 2 mod n factorizes completely over the factor base.