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  2. Ratio - Wikipedia

    en.wikipedia.org/wiki/Ratio

    Ratio. In mathematics, a ratio (/ ˈreɪʃ (i) oʊ /) shows how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3). Similarly, the ratio of lemons to oranges is 6:8 (or 3:4) and ...

  3. Ratio estimator - Wikipedia

    en.wikipedia.org/wiki/Ratio_estimator

    The ratio estimator is a statistical ... To simplify the notation s xy will be used ... These ratio estimators are commonly used to calculate pollutant loads from ...

  4. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    A simple fraction (also known as a common fraction or vulgar fraction, where vulgar is Latin for "common") is a rational number written as a / b or ⁠ ⁠, where a and b are both integers. [9] As with other fractions, the denominator (b) cannot be zero. Examples include ⁠ 1 2 ⁠, − ⁠ 8 5 ⁠, ⁠ −8 5 ⁠, and ⁠ 8 −5 ⁠.

  5. Silver ratio - Wikipedia

    en.wikipedia.org/wiki/Silver_ratio

    The silver ratio is a Pisot–Vijayaraghavan number (PV number), as its conjugate 1 − √ 2 = ⁠ −1 δS⁠ ≈ −0.41421 has absolute value less than 1. In fact it is the second smallest quadratic PV number after the golden ratio. This means the distance from δ n. S to the nearest integer is ⁠ 1 δ n.

  6. Quotient rule - Wikipedia

    en.wikipedia.org/wiki/Quotient_rule

    Calculus. In calculus, the quotient rule is a method of finding the derivative of a function that is the ratio of two differentiable functions. [1][2][3] Let , where both f and g are differentiable and The quotient rule states that the derivative of h(x) is. {\displaystyle h' (x)= {\frac {f' (x)g (x)-f (x)g' (x)} { (g (x))^ {2}}}.} It is ...

  7. Waist-to-height ratio - Wikipedia

    en.wikipedia.org/wiki/Waist-to-height_ratio

    More than twenty-five years ago, waist-to-height ratio (WHtR) was first suggested as a simple health risk assessment tool because it is a proxy for harmful central adiposity [2] and a boundary value of 0.5 was proposed to indicate increased risk.

  8. Golden ratio - Wikipedia

    en.wikipedia.org/wiki/Golden_ratio

    The golden ratio is also an algebraic number and even an algebraic integer. It has minimal polynomial. This quadratic polynomial has two roots, and. The golden ratio is also closely related to the polynomial. which has roots and As the root of a quadratic polynomial, the golden ratio is a constructible number.

  9. Proofs of trigonometric identities - Wikipedia

    en.wikipedia.org/wiki/Proofs_of_trigonometric...

    Pythagorean identities. Identity 1: The following two results follow from this and the ratio identities. To obtain the first, divide both sides of by ; for the second, divide by . Similarly. Identity 2: The following accounts for all three reciprocal functions. Proof 2: Refer to the triangle diagram above.