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  2. Riemann sum - Wikipedia

    en.wikipedia.org/wiki/Riemann_sum

    Loosely speaking, a function is Riemann integrable if all Riemann sums converge as the partition "gets finer and finer". While not derived as a Riemann sum, taking the average of the left and right Riemann sums is the trapezoidal rule and gives a trapezoidal sum. It is one of the simplest of a very general way of approximating integrals using ...

  3. Order of operations - Wikipedia

    en.wikipedia.org/wiki/Order_of_operations

    Calculators generally perform operations with the same precedence from left to right, [1] ... for example in Microsoft Excel while the formulas =-2^2, =-(2) ...

  4. Trapezoidal rule - Wikipedia

    en.wikipedia.org/wiki/Trapezoidal_rule

    The trapezoidal rule may be viewed as the result obtained by averaging the left and right Riemann sums, and is sometimes defined this way. The integral can be even better approximated by partitioning the integration interval, applying the trapezoidal rule to each subinterval, and summing the results. In practice, this "chained" (or "composite ...

  5. Skewness - Wikipedia

    en.wikipedia.org/wiki/Skewness

    Many textbooks teach a rule of thumb stating that the mean is right of the median under right skew, and left of the median under left skew. This rule fails with surprising frequency. It can fail in multimodal distributions, or in distributions where one tail is long but the other is heavy. Most commonly, though, the rule fails in discrete ...

  6. OpenFormula - Wikipedia

    en.wikipedia.org/wiki/OpenFormula

    For example, Excel incorrectly believes that 1900 was a leap year, and at least draft version 1.3 of the Excel specification claims that compatible applications must make the same mistake, and requires that applications cannot be more capable than Excel by supporting dates before 1900. By comparing many different independent implementations ...

  7. Propositional formula - Wikipedia

    en.wikipedia.org/wiki/Propositional_formula

    It can be shown that any expression matched by the grammar has a balanced number of left and right parentheses, and any nonempty initial segment of a formula has more left than right parentheses. [18] This fact can be used to give an algorithm for parsing formulas. For example, suppose that an expression x begins with (.

  8. Inverse function - Wikipedia

    en.wikipedia.org/wiki/Inverse_function

    A function has a two-sided inverse if and only if it is bijective. A bijective function f is injective, so it has a left inverse (if f is the empty function, : is its own left inverse). f is surjective, so it has a right inverse. By the above, the left and right inverse are the same.

  9. Sides of an equation - Wikipedia

    en.wikipedia.org/wiki/Sides_of_an_equation

    The expression on the right side of the "=" sign is the right side of the equation and the expression on the left of the "=" is the left side of the equation. For example, in + = + x + 5 is the left-hand side (LHS) and y + 8 is the right-hand side (RHS).

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