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12 results for “interval”

Formulae (12)

CalculusAdvanced

Average Value of a Function

f_{avg} = \frac{1}{b-a}\int_a^b f(x)\,dx

The mean value of a continuous function over an interval.

CalculusAdvanced

Average Value of a Function

\bar{f} = \frac{1}{b-a}\int_a^b f(x)\,dx

Mean value of a continuous function over an interval.

Statistics & ProbabilityAdvanced

Poisson Distribution

P(X=k) = \frac{\lambda^k e^{-\lambda}}{k!}

Probability of k events in a fixed interval.

Statistics & ProbabilityAdvanced

Margin of Error

E = z\frac{\sigma}{\sqrt{n}}

Half-width of a confidence interval for the mean.

Statistics & ProbabilityAdvanced

Confidence Interval (Mean)

\bar{x} \pm z\frac{\sigma}{\sqrt{n}}

Range likely to contain the population mean.

Probability & CombinatoricsAdvanced

Poisson Probability

P(X=k) = \frac{\lambda^k e^{-\lambda}}{k!}

Probability of k events in a fixed interval given average rate λ.

Health & FitnessAdvanced

Corrected QT (Bazett)

QTc = \frac{QT}{\sqrt{RR}}

Heart-rate-corrected QT interval from an ECG.

Health & FitnessAdvanced

Corrected QT (Fridericia)

QTc = \frac{QT}{\sqrt[3]{RR}}

Heart-rate-corrected QT interval using a cube root.

Aviation & AeronauticsBasic

MEL Rectification Interval

D_{due} = D_{disc} + I_{cat}

Latest date a deferred defect must be fixed: the discovery date plus the Minimum Equipment List category interval. The day of discovery is “day zero” and is not counted.

Weather & CalamitiesIntermediate

Flood Return Period

T = \frac{n+1}{m}

The average interval between floods of a given size (Weibull plotting position).

Music & AcousticsAdvanced

Pitch Interval in Cents

c = 1200 \log_2\!\left(\frac{f_2}{f_1}\right)

Measures the size of a musical interval in cents.

Surveying & GeomaticsBasic

Slope Between Contours

S = \frac{CI}{d} \times 100

Ground slope from the contour interval and horizontal spacing on a map.