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  2. Rationalisation (mathematics) - Wikipedia

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

    In elementary algebra, root rationalisation (or rationalization) is a process by which radicals in the denominator of an algebraic fraction are eliminated.. If the denominator is a monomial in some radical, say , with k < n, rationalisation consists of multiplying the numerator and the denominator by , and replacing by x (this is allowed, as, by definition, a n th root of x is a number that ...

  3. 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 .

  4. Rationalizable strategy - Wikipedia

    en.wikipedia.org/wiki/Rationalizable_strategy

    Example 2: We can demonstrate the same methods on a more complex game and solve for the rational strategies. In this scenario, the blue coloring represents the dominating numbers in the particular strategy. Step-by-step solving: For Player 2, X is dominated by the mixed strategy ⁠ 1 / 2 ⁠ Y and ⁠ 1 / 2 ⁠ Z.

  5. Algebraic fraction - Wikipedia

    en.wikipedia.org/wiki/Algebraic_fraction

    In the first example of an improper fraction one has + + + = (+) + +, where the second term is a proper rational fraction. 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 ...

  6. List of integrals of rational functions - Wikipedia

    en.wikipedia.org/wiki/List_of_integrals_of...

    The following is a list of integrals (antiderivative functions) of rational functions. Any rational function can be integrated by partial fraction decomposition of the function into a sum of functions of the form:

  7. The Secret Bedtime Hack I Followed to Fall Asleep an Hour Earlier

    www.aol.com/secret-bedtime-hack-followed-fall...

    Turn off the TV and phone. “All screens should be turned off at least one hour before bedtime,” says Dasgupta. “The blue light emitted by screens can interfere with melatonin production ...

  8. Man Accused of Murdering His Mother, 70, in 'Gruesome ... - AOL

    www.aol.com/man-accused-murdering-mother-70...

    A man in Michigan has been accused of killing his own mother before allegedly shooting his neighbor. Roger Schweda, 40, was arraigned on Monday, Dec. 9 of two counts of open murder and two counts ...

  9. 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.

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