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2. Algebraic expression - Wikipedia

   en.wikipedia.org/wiki/Algebraic_expression

   The sum of two proper rational fractions is a proper rational fraction as well. The reverse process of expressing a proper rational fraction as the sum of two or more fractions is called resolving it into partial fractions. For example, = + +. Here, the two terms on the right are called partial fractions.

3. Algebraic operation - Wikipedia

   en.wikipedia.org/wiki/Algebraic_operation

   Algebraic operations in the solution to the quadratic equation.The radical sign √, denoting a square root, is equivalent to exponentiation to the power of ⁠ 1 / 2 ⁠.The ± sign means the equation can be written with either a + or a – sign.

4. Power rule - Wikipedia

   en.wikipedia.org/wiki/Power_rule

   Solving for , = = = = = Thus, the power rule applies for rational exponents of the form /, where is a nonzero natural number. This can be generalized to rational exponents of the form p / q {\displaystyle p/q} by applying the power rule for integer exponents using the chain rule, as shown in the next step.

5. Exponentiation - Wikipedia

   en.wikipedia.org/wiki/Exponentiation

   In mathematics, exponentiation, denoted b n, is an operation involving two numbers: the base, b, and the exponent or power, n. [1] When n is a positive integer, exponentiation corresponds to repeated multiplication of the base: that is, b n is the product of multiplying n bases: [1] = ⏟.

6. Algebraic fraction - Wikipedia

   en.wikipedia.org/wiki/Algebraic_fraction

   [2] [3] Rational fractions are also known as rational expressions. A rational fraction () is called proper if ⁡ < ⁡ (), and improper otherwise. For example, the rational fraction is proper, and the rational fractions + + + and + + are improper. Any improper rational fraction can be expressed as the sum of a polynomial (possibly constant ...

7. Rational function - Wikipedia

   en.wikipedia.org/wiki/Rational_function

   In mathematics, a rational function is any function that can be defined by a rational fraction, which is an algebraic fraction such that both the numerator and the denominator are polynomials. The coefficients of the polynomials need not be rational numbers ; they may be taken in any field K .

8. 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. [1]

9. Tetration - Wikipedia

   en.wikipedia.org/wiki/Tetration

   Solving the inverse relation, as in the previous section, yields the expected 0 i = 1 and −1 i = 0, with negative values of n giving infinite results on the imaginary axis. [ citation needed ] Plotted in the complex plane , the entire sequence spirals to the limit 0.4383 + 0.3606 i , which could be interpreted as the value where n is infinite.