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  2. Integral - Wikipedia

    en.wikipedia.org/wiki/Integral

    A Riemann sum of a function f with respect to such a tagged partition is defined as ∑ i = 1 n f ( t i ) Δ i ; {\displaystyle \sum _{i=1}^{n}f(t_{i})\,\Delta _{i};} thus each term of the sum is the area of a rectangle with height equal to the function value at the distinguished point of the given sub-interval, and width the same as the width ...

  3. Differentiation rules - Wikipedia

    en.wikipedia.org/wiki/Differentiation_rules

    Elementary rules of differentiation. Unless otherwise stated, all functions are functions of real numbers that return real values; although more generally, the formulae below apply wherever they are well defined — including the case of complex numbers ().

  4. Exponential function - Wikipedia

    en.wikipedia.org/wiki/Exponential_function

    The exponential function is a mathematical function denoted by () = ⁡ or (where the argument x is written as an exponent).Unless otherwise specified, the term generally refers to the positive-valued function of a real variable, although it can be extended to the complex numbers or generalized to other mathematical objects like matrices or Lie algebras.

  5. Geometric progression - Wikipedia

    en.wikipedia.org/wiki/Geometric_progression

    A geometric series is the sum of the numbers in a geometric progression. For example: + + + = + + +. Letting a be the first term (here 2), n be the number of terms (here 4), and r be the constant that each term is multiplied by to get the next term (here 5), the sum is given by:

  6. Hyperbolic functions - Wikipedia

    en.wikipedia.org/wiki/Hyperbolic_functions

    Hyperbolic tangent. The hyperbolic tangent is the (unique) solution to the differential equation f ′ = 1 − f 2, with f (0) = 0.. Useful relations. The hyperbolic functions satisfy many identities, all of them similar in form to the trigonometric identities.

  7. Market value - Wikipedia

    en.wikipedia.org/wiki/Market_value

    Market value or OMV (Open Market Valuation) is the price at which an asset would trade in a competitive auction setting.Market value is often used interchangeably with open market value, fair value or fair market value, although these terms have distinct definitions in different standards, and differ in some circumstances.

  8. Propagation of uncertainty - Wikipedia

    en.wikipedia.org/wiki/Propagation_of_uncertainty

    Ratios are also problematic; normal approximations exist under certain conditions. Example formulae. This table shows the variances and standard deviations of simple functions of the real variables ,, with standard deviations ,, covariance =, and correlation .

  9. Root mean square - Wikipedia

    en.wikipedia.org/wiki/Root_mean_square

    In waveform combinations. Waveforms made by summing known simple waveforms have an RMS value that is the root of the sum of squares of the component RMS values, if the component waveforms are orthogonal (that is, if the average of the product of one simple waveform with another is zero for all pairs other than a waveform times itself).