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  2. Method of dominant balance - Wikipedia

    en.wikipedia.org/wiki/Method_of_dominant_balance

    Following an initial solution, iteration of the procedure may generate additional terms of an asymptotic expansion providing a more accurate solution. [1] [2] An early example of the dominant balance method is the Newton polygon method. Newton developed this method to find an explicit approximation for an algebraic function.

  3. Zero to the power of zero - Wikipedia

    en.wikipedia.org/wiki/Zero_to_the_power_of_zero

    Zero to the power of zero, denoted as 0 0, is a mathematical expression that can take different values depending on the context. In certain areas of mathematics, such as combinatorics and algebra, 0 0 is conventionally defined as 1 because this assignment simplifies many formulas and ensures consistency in operations involving exponents.

  4. Exponentiation - Wikipedia

    en.wikipedia.org/wiki/Exponentiation

    Graphs of y = b x for various bases b: base 10, base e, base 2, base ⁠ 1 / 2 ⁠. Each curve passes through the point (0, 1) because any nonzero number raised to the power of 0 is 1. At x = 1, the value of y equals the base because any number raised to the power of 1 is the number itself.

  5. Windows Calculator - Wikipedia

    en.wikipedia.org/wiki/Windows_Calculator

    A simple arithmetic calculator was first included with Windows 1.0. [5]In Windows 3.0, a scientific mode was added, which included exponents and roots, logarithms, factorial-based functions, trigonometry (supports radian, degree and gradians angles), base conversions (2, 8, 10, 16), logic operations, statistical functions such as single variable statistics and linear regression.

  6. Matrix exponential - Wikipedia

    en.wikipedia.org/wiki/Matrix_exponential

    We denote the n×n identity matrix by I and the zero matrix by 0. The matrix exponential satisfies the following properties. [2] We begin with the properties that are immediate consequences of the definition as a power series: e 0 = I; exp(X T) = (exp X) T, where X T denotes the transpose of X. exp(X ∗) = (exp X) ∗, where X ∗ denotes the ...

  7. Fifth power (algebra) - Wikipedia

    en.wikipedia.org/wiki/Fifth_power_(algebra)

    In arithmetic and algebra, the fifth power or sursolid [1] of a number n is the result of multiplying five instances of n together: n 5 = n × n × n × n × n. Fifth powers are also formed by multiplying a number by its fourth power, or the square of a number by its cube. The sequence of fifth powers of integers is:

  8. Power series solution of differential equations - Wikipedia

    en.wikipedia.org/wiki/Power_series_solution_of...

    Suppose further that a 1 /a 2 and a 0 /a 2 are analytic functions. The power series method calls for the construction of a power series solution = =. If a 2 is zero for some z, then the Frobenius method, a variation on this method, is suited to deal with so called "singular points". The method works analogously for higher order equations as ...

  9. Calculator input methods - Wikipedia

    en.wikipedia.org/wiki/Calculator_input_methods

    3 0 sin + 2 x 3 0 cos = The 1 + 2 × 3 {\displaystyle 1+2\times 3} examples have been given twice. The first version is for simple calculators, showing how it is necessary to rearrange operands in order to get the correct result.