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2. Equation solving - Wikipedia

   en.wikipedia.org/wiki/Equation_solving

   An example of using Newton–Raphson method to solve numerically the equation f(x) = 0. In mathematics, to solve an equation is to find its solutions, which are the values (numbers, functions, sets, etc.) that fulfill the condition stated by the equation, consisting generally of two expressions related by an equals sign.

3. Iverson bracket - Wikipedia

   en.wikipedia.org/wiki/Iverson_bracket

   In mathematics, the Iverson bracket, named after Kenneth E. Iverson, is a notation that generalises the Kronecker delta, which is the Iverson bracket of the statement x = y. It maps any statement to a function of the free variables in that statement. This function is defined to take the value 1 for the values of the variables for which the ...

4. Bracket (mathematics) - Wikipedia

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

   In mathematics, brackets of various typographical forms, such as parentheses ( ), square brackets [ ], braces { } and angle brackets , are frequently used in mathematical notation. Generally, such bracketing denotes some form of grouping: in evaluating an expression containing a bracketed sub-expression, the operators in the sub-expression take ...

5. Elementary algebra - Wikipedia

   en.wikipedia.org/wiki/Elementary_algebra

   To solve this kind of equation, the technique is add, subtract, multiply, or divide both sides of the equation by the same number in order to isolate the variable on one side of the equation. Once the variable is isolated, the other side of the equation is the value of the variable. [ 37 ]

6. Method of matched asymptotic expansions - Wikipedia

   en.wikipedia.org/wiki/Method_of_matched...

   In mathematics, the method of matched asymptotic expansions [1] is a common approach to finding an accurate approximation to the solution to an equation, or system of equations. It is particularly used when solving singularly perturbed differential equations. It involves finding several different approximate solutions, each of which is valid (i ...

7. Cramer's rule - Wikipedia

   en.wikipedia.org/wiki/Cramer's_rule

   Cramer's rule, implemented in a naive way, is computationally inefficient for systems of more than two or three equations. [7] In the case of n equations in n unknowns, it requires computation of n + 1 determinants, while Gaussian elimination produces the result with the same computational complexity as the computation of a single determinant.

8. Muller's method - Wikipedia

   en.wikipedia.org/wiki/Muller's_method

   Muller's method is a root-finding algorithm, a numerical method for solving equations of the form f(x) = 0.It was first presented by David E. Muller in 1956.. Muller's method proceeds according to a third-order recurrence relation similar to the second-order recurrence relation of the secant method.

9. Macaulay brackets - Wikipedia

   en.wikipedia.org/wiki/Macaulay_brackets

   Macaulay's notation is commonly used in the static analysis of bending moments of a beam. This is useful because shear forces applied on a member render the shear and moment diagram discontinuous.