# Mathematical Operations Site [llms.txt](/gatherers4j/llms.txt) --- Functions performing calculations over the stream. Major themes are: * Moving and running product, sum, and mean * Moving and running population and sample standard deviation * Variations for working with `Stream` or mapping input elements to `BigDecimal` ### Gatherers | Function | Description | |---|---| | [exponentialMovingAverageWithAlpha()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/exponentialmovingaveragewithalpha/index.md) | Create an exponential average of `BigDecimal` values, with the given `alpha`. | | [exponentialMovingAverageWithAlphaBy()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/exponentialmovingaveragewithalphaby/index.md) | Calculate the exponential moving average of `BigDecimal` objects mapped from a `Stream` via a `mappingFunction` with the given `alpha`. | | [exponentialMovingAverageWithPeriod()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/exponentialmovingaveragewithperiod/index.md) | Create an exponential average of `BigDecimal` values, over the given number of `periods`. | | [exponentialMovingAverageWithPeriodBy()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/exponentialmovingaveragewithperiodby/index.md) | Calculate the exponential moving average of `BigDecimal` objects mapped from a `Stream` via a `mappingFunction` over the given number of `periods`. | | [movingGeometricMean()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/movinggeometricmean/index.md) | Calculate the moving geometric mean of a `Stream` looking back `windowSize` elements. | | [movingGeometricMeanBy()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/movinggeometricmeanby/index.md) | Calculate the moving geometric mean of `BigDecimal` objects mapped from a `Stream` via a `mappingFunction`. | | [movingHarmonicMean()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/movingharmonicmean/index.md) | Calculate the moving harmonic mean of a `Stream` looking back `windowSize` elements. | | [movingHarmonicMeanBy()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/movingharmonicmeanby/index.md) | Calculate the moving harmonic mean of `BigDecimal` objects mapped from a `Stream` via a `mappingFunction`. | | [movingMax()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/movingmax/index.md) | Create a Stream that represents the moving maximum of a `Stream` looking back `windowSize` elements. | | [movingMaxBy()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/movingmaxby/index.md) | Create a Stream that represents the moving maximum of a `Stream` looking back `windowSize` elements, as calculated by the given `Comparator`. | | [movingMean()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/movingmean/index.md) | Calculate the moving mean of `BigDecimal` values over the previous `windowSize` number of values. | | [movingMeanBy()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/movingmeanby/index.md) | Calculate the moving mean of `BigDecimal` objects mapped from a `Stream` via a `mappingFunction` and looking back `windowSize` elements. | | [movingMedian()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/movingmedian/index.md) | Create a Stream that represents the moving median of a `Stream` looking back `windowSize` elements. | | [movingMedianBy()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/movingmedianby/index.md) | Create a Stream that represents the moving median of `BigDecimal` objects mapped from a `Stream` via a function and looking back `windowSize` elements. | | [movingMin()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/movingmin/index.md) | Create a Stream that represents the moving minimum of a `Stream` looking back `windowSize` elements. | | [movingMinBy()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/movingminby/index.md) | Create a Stream that represents the moving minimum of a `Stream` looking back `windowSize` elements, as calculated by the given `Comparator`. | | [movingPercentile()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/movingpercentile/index.md) | Create a Stream that represents the moving percentile of a `Stream` looking back `windowSize` elements. | | [movingPercentileBy()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/movingpercentileby/index.md) | Create a Stream that represents the moving percentile of `BigDecimal` objects mapped from a `Stream` via a `mappingFunction`, looking back `windowSize` elements. | | [movingProduct()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/movingproduct/index.md) | Calculate the moving product of a `Stream` looking back `windowSize` elements. | | [movingProductBy()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/movingproductby/index.md) | Calculate the moving product of `BigDecimal` objects mapped from a `Stream` via a `mappingFunction` and looking back `windowSize` elements. | | [movingRootMeanSquare()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/movingrootmeansquare/index.md) | Calculate the moving root mean square (quadratic mean) of a `Stream` looking back `windowSize` elements. | | [movingRootMeanSquareBy()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/movingrootmeansquareby/index.md) | Calculate the moving root mean square (quadratic mean) of `BigDecimal` objects mapped from a `Stream` via a `mappingFunction`. | | [movingStandardDeviation()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/movingstandarddeviation/index.md) | Calculate the moving standard deviation of a `Stream` looking back `windowSize` elements, as either a population or a sample. | | [movingStandardDeviationBy()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/movingstandarddeviationby/index.md) | Calculate the moving standard deviation of `BigDecimal` objects mapped from a `Stream` via a `mappingFunction` and looking back `windowSize` elements, as either a population or a sample. | | [movingStatistics()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/movingstatistics/index.md) | Calculate summary statistics (count, sum, mean, min, max, variance, and standard deviation) of a `Stream` looking back `windowSize` elements. | | [movingStatisticsBy()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/movingstatisticsby/index.md) | Calculate summary statistics (count, sum, mean, min, max, variance, and standard deviation) of `BigDecimal` objects mapped from a `Stream` via a `mappingFunction`, looking back `windowSize` elements. | | [movingSum()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/movingsum/index.md) | Calculate the moving sum of a `Stream` looking back `windowSize` elements. | | [movingSumBy()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/movingsumby/index.md) | Calculate the moving sum of `BigDecimal` objects mapped from a `Stream` via a `mappingFunction` and looking back `windowSize` elements. | | [movingVariance()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/movingvariance/index.md) | Calculate the moving variance of a `Stream` looking back `windowSize` elements, as either a population or a sample. | | [movingVarianceBy()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/movingvarianceby/index.md) | Calculate the moving variance of `BigDecimal` objects mapped from a `Stream` via a `mappingFunction` and looking back `windowSize` elements, as either a population or a sample. | | [movingWeightedMean()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/movingweightedmean/index.md) | Calculate the weighted moving mean of `BigDecimal` values over the previous `windowSize` number of values, giving newer values more weight. | | [movingWeightedMeanBy()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/movingweightedmeanby/index.md) | Calculate the weighted moving mean of `BigDecimal` objects mapped from a `Stream` via a `mappingFunction` and looking back `windowSize` elements, giving newer values more weight. | | [runningGeometricMean()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/runninggeometricmean/index.md) | Calculate the running geometric mean of a `Stream`. | | [runningGeometricMeanBy()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/runninggeometricmeanby/index.md) | Calculate the running geometric mean of `BigDecimal` objects mapped from a `Stream` via a `mappingFunction`. | | [runningHarmonicMean()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/runningharmonicmean/index.md) | Calculate the running harmonic mean of a `Stream`. | | [runningHarmonicMeanBy()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/runningharmonicmeanby/index.md) | Calculate the running harmonic mean of `BigDecimal` objects mapped from a `Stream` via a `mappingFunction`. | | [runningMax()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/runningmax/index.md) | Calculate the running maximum value of a `Stream>`. | | [runningMaxBy()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/runningmaxby/index.md) | Calculate the running maximum value of a `Stream`, as calculated by the given `Comparator`. | | [runningMean()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/runningmean/index.md) | Calculate the running mean of a `Stream`. | | [runningMeanBy()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/runningmeanby/index.md) | Calculate the running mean of `BigDecimal` objects mapped from a `Stream` via a `mappingFunction`. | | [runningMedian()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/runningmedian/index.md) | Calculate the running median of a `Stream`. | | [runningMedianBy()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/runningmedianby/index.md) | Calculate the running median of `BigDecimal` objects mapped from a `Stream` via a `mappingFunction`. | | [runningMin()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/runningmin/index.md) | Calculate the running minimum value of a `Stream>`. | | [runningMinBy()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/runningminby/index.md) | Calculate the running minimum value of a `Stream`, as calculated by the given `Comparator`. | | [runningPercentile()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/runningpercentile/index.md) | Calculate the running percentile of a `Stream`. | | [runningPercentileBy()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/runningpercentileby/index.md) | Calculate the running percentile of `BigDecimal` objects mapped from a `Stream` via a `mappingFunction`. | | [runningProduct()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/runningproduct/index.md) | Calculate the running product of a `Stream`. | | [runningProductBy()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/runningproductby/index.md) | Calculate the running product of `BigDecimal` objects mapped from a `Stream` via a `mappingFunction`. | | [runningRootMeanSquare()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/runningrootmeansquare/index.md) | Calculate the running root mean square (quadratic mean) of a `Stream`. | | [runningRootMeanSquareBy()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/runningrootmeansquareby/index.md) | Calculate the running root mean square (quadratic mean) of `BigDecimal` objects mapped from a `Stream` via a `mappingFunction`. | | [runningStandardDeviation()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/runningstandarddeviation/index.md) | Calculate the running standard deviation of a `Stream`, as either a population or a sample. | | [runningStandardDeviationBy()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/runningstandarddeviationby/index.md) | Calculate the running standard deviation of `BigDecimal` objects mapped from a `Stream` via a `mappingFunction`, as either a population or a sample. | | [runningStatistics()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/runningstatistics/index.md) | Calculate summary statistics (count, sum, mean, min, max, variance, and standard deviation) of a `Stream` so far. | | [runningStatisticsBy()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/runningstatisticsby/index.md) | Calculate summary statistics (count, sum, mean, min, max, variance, and standard deviation) of `BigDecimal` objects mapped from a `Stream` via a `mappingFunction` so far. | | [runningSum()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/runningsum/index.md) | Calculate the running sum of a `Stream`. | | [runningSumBy()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/runningsumby/index.md) | Calculate the running sum of `BigDecimal` objects mapped from a `Stream` via a `mappingFunction`. | | [runningVariance()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/runningvariance/index.md) | Calculate the running variance of a `Stream`, as either a population or a sample. | | [runningVarianceBy()](https://tginsberg.github.io/gatherers4j/gatherers/mathematical/runningvarianceby/index.md) | Calculate the running variance of `BigDecimal` objects mapped from a `Stream` via a `mappingFunction`, as either a population or a sample. | --- Section pages: - [exponentialMovingAverageWithAlpha()](/gatherers4j/gatherers/mathematical/exponentialmovingaveragewithalpha/): Create an exponential average of `BigDecimal` values, with the given `alpha`. - [exponentialMovingAverageWithAlphaBy()](/gatherers4j/gatherers/mathematical/exponentialmovingaveragewithalphaby/): Calculate the exponential moving average of `BigDecimal` objects mapped from a `Stream` via a `mappingFunction` with the given `alpha`. - [exponentialMovingAverageWithPeriod()](/gatherers4j/gatherers/mathematical/exponentialmovingaveragewithperiod/): Create an exponential average of `BigDecimal` values, over the given number of `periods`. - [exponentialMovingAverageWithPeriodBy()](/gatherers4j/gatherers/mathematical/exponentialmovingaveragewithperiodby/): Calculate the exponential moving average of `BigDecimal` objects mapped from a `Stream` via a `mappingFunction` over the given number of `periods`. - [movingGeometricMean()](/gatherers4j/gatherers/mathematical/movinggeometricmean/): Calculate the moving geometric mean of a `Stream` looking back `windowSize` elements. - [movingGeometricMeanBy()](/gatherers4j/gatherers/mathematical/movinggeometricmeanby/): Calculate the moving geometric mean of `BigDecimal` objects mapped from a `Stream` via a `mappingFunction`. - [movingHarmonicMean()](/gatherers4j/gatherers/mathematical/movingharmonicmean/): Calculate the moving harmonic mean of a `Stream` looking back `windowSize` elements. - [movingHarmonicMeanBy()](/gatherers4j/gatherers/mathematical/movingharmonicmeanby/): Calculate the moving harmonic mean of `BigDecimal` objects mapped from a `Stream` via a `mappingFunction`. - [movingMax()](/gatherers4j/gatherers/mathematical/movingmax/): Create a Stream that represents the moving maximum of a `Stream` looking back `windowSize` elements. - [movingMaxBy()](/gatherers4j/gatherers/mathematical/movingmaxby/): Create a Stream that represents the moving maximum of a `Stream` looking back `windowSize` elements, as calculated by the given `Comparator`. - [movingMean()](/gatherers4j/gatherers/mathematical/movingmean/): Calculate the moving mean of `BigDecimal` values over the previous `windowSize` number of values. - [movingMeanBy()](/gatherers4j/gatherers/mathematical/movingmeanby/): Calculate the moving mean of `BigDecimal` objects mapped from a `Stream` via a `mappingFunction` and looking back `windowSize` elements. - [movingMedian()](/gatherers4j/gatherers/mathematical/movingmedian/): Create a Stream that represents the moving median of a `Stream` looking back `windowSize` elements. - [movingMedianBy()](/gatherers4j/gatherers/mathematical/movingmedianby/): Create a Stream that represents the moving median of `BigDecimal` objects mapped from a `Stream` via a function and looking back `windowSize` elements. - [movingMin()](/gatherers4j/gatherers/mathematical/movingmin/): Create a Stream that represents the moving minimum of a `Stream` looking back `windowSize` elements. - [movingMinBy()](/gatherers4j/gatherers/mathematical/movingminby/): Create a Stream that represents the moving minimum of a `Stream` looking back `windowSize` elements, as calculated by the given `Comparator`. - [movingPercentile()](/gatherers4j/gatherers/mathematical/movingpercentile/): Create a Stream that represents the moving percentile of a `Stream` looking back `windowSize` elements. - [movingPercentileBy()](/gatherers4j/gatherers/mathematical/movingpercentileby/): Create a Stream that represents the moving percentile of `BigDecimal` objects mapped from a `Stream` via a `mappingFunction`, looking back `windowSize` elements. - [movingProduct()](/gatherers4j/gatherers/mathematical/movingproduct/): Calculate the moving product of a `Stream` looking back `windowSize` elements. - [movingProductBy()](/gatherers4j/gatherers/mathematical/movingproductby/): Calculate the moving product of `BigDecimal` objects mapped from a `Stream` via a `mappingFunction` and looking back `windowSize` elements. - [movingRootMeanSquare()](/gatherers4j/gatherers/mathematical/movingrootmeansquare/): Calculate the moving root mean square (quadratic mean) of a `Stream` looking back `windowSize` elements. - [movingRootMeanSquareBy()](/gatherers4j/gatherers/mathematical/movingrootmeansquareby/): Calculate the moving root mean square (quadratic mean) of `BigDecimal` objects mapped from a `Stream` via a `mappingFunction`. - [movingStandardDeviation()](/gatherers4j/gatherers/mathematical/movingstandarddeviation/): Calculate the moving standard deviation of a `Stream` looking back `windowSize` elements, as either a population or a sample. - [movingStandardDeviationBy()](/gatherers4j/gatherers/mathematical/movingstandarddeviationby/): Calculate the moving standard deviation of `BigDecimal` objects mapped from a `Stream` via a `mappingFunction` and looking back `windowSize` elements, as either a population or a sample. - [movingStatistics()](/gatherers4j/gatherers/mathematical/movingstatistics/): Calculate summary statistics (count, sum, mean, min, max, variance, and standard deviation) of a `Stream` looking back `windowSize` elements. - [movingStatisticsBy()](/gatherers4j/gatherers/mathematical/movingstatisticsby/): Calculate summary statistics (count, sum, mean, min, max, variance, and standard deviation) of `BigDecimal` objects mapped from a `Stream` via a `mappingFunction`, looking back `windowSize` elements. - [movingSum()](/gatherers4j/gatherers/mathematical/movingsum/): Calculate the moving sum of a `Stream` looking back `windowSize` elements. - [movingSumBy()](/gatherers4j/gatherers/mathematical/movingsumby/): Calculate the moving sum of `BigDecimal` objects mapped from a `Stream` via a `mappingFunction` and looking back `windowSize` elements. - [movingVariance()](/gatherers4j/gatherers/mathematical/movingvariance/): Calculate the moving variance of a `Stream` looking back `windowSize` elements, as either a population or a sample. - [movingVarianceBy()](/gatherers4j/gatherers/mathematical/movingvarianceby/): Calculate the moving variance of `BigDecimal` objects mapped from a `Stream` via a `mappingFunction` and looking back `windowSize` elements, as either a population or a sample. - [movingWeightedMean()](/gatherers4j/gatherers/mathematical/movingweightedmean/): Calculate the weighted moving mean of `BigDecimal` values over the previous `windowSize` number of values, giving newer values more weight. - [movingWeightedMeanBy()](/gatherers4j/gatherers/mathematical/movingweightedmeanby/): Calculate the weighted moving mean of `BigDecimal` objects mapped from a `Stream` via a `mappingFunction` and looking back `windowSize` elements, giving newer values more weight. - [runningGeometricMean()](/gatherers4j/gatherers/mathematical/runninggeometricmean/): Calculate the running geometric mean of a `Stream`. - [runningGeometricMeanBy()](/gatherers4j/gatherers/mathematical/runninggeometricmeanby/): Calculate the running geometric mean of `BigDecimal` objects mapped from a `Stream` via a `mappingFunction`. - [runningHarmonicMean()](/gatherers4j/gatherers/mathematical/runningharmonicmean/): Calculate the running harmonic mean of a `Stream`. - [runningHarmonicMeanBy()](/gatherers4j/gatherers/mathematical/runningharmonicmeanby/): Calculate the running harmonic mean of `BigDecimal` objects mapped from a `Stream` via a `mappingFunction`. - [runningMax()](/gatherers4j/gatherers/mathematical/runningmax/): Calculate the running maximum value of a `Stream>`. - [runningMaxBy()](/gatherers4j/gatherers/mathematical/runningmaxby/): Calculate the running maximum value of a `Stream`, as calculated by the given `Comparator`. - [runningMean()](/gatherers4j/gatherers/mathematical/runningmean/): Calculate the running mean of a `Stream`. - [runningMeanBy()](/gatherers4j/gatherers/mathematical/runningmeanby/): Calculate the running mean of `BigDecimal` objects mapped from a `Stream` via a `mappingFunction`. - [runningMedian()](/gatherers4j/gatherers/mathematical/runningmedian/): Calculate the running median of a `Stream`. - [runningMedianBy()](/gatherers4j/gatherers/mathematical/runningmedianby/): Calculate the running median of `BigDecimal` objects mapped from a `Stream` via a `mappingFunction`. - [runningMin()](/gatherers4j/gatherers/mathematical/runningmin/): Calculate the running minimum value of a `Stream>`. - [runningMinBy()](/gatherers4j/gatherers/mathematical/runningminby/): Calculate the running minimum value of a `Stream`, as calculated by the given `Comparator`. - [runningPercentile()](/gatherers4j/gatherers/mathematical/runningpercentile/): Calculate the running percentile of a `Stream`. - [runningPercentileBy()](/gatherers4j/gatherers/mathematical/runningpercentileby/): Calculate the running percentile of `BigDecimal` objects mapped from a `Stream` via a `mappingFunction`. - [runningProduct()](/gatherers4j/gatherers/mathematical/runningproduct/): Calculate the running product of a `Stream`. - [runningProductBy()](/gatherers4j/gatherers/mathematical/runningproductby/): Calculate the running product of `BigDecimal` objects mapped from a `Stream` via a `mappingFunction`. - [runningRootMeanSquare()](/gatherers4j/gatherers/mathematical/runningrootmeansquare/): Calculate the running root mean square (quadratic mean) of a `Stream`. - [runningRootMeanSquareBy()](/gatherers4j/gatherers/mathematical/runningrootmeansquareby/): Calculate the running root mean square (quadratic mean) of `BigDecimal` objects mapped from a `Stream` via a `mappingFunction`. - [runningStandardDeviation()](/gatherers4j/gatherers/mathematical/runningstandarddeviation/): Calculate the running standard deviation of a `Stream`, as either a population or a sample. - [runningStandardDeviationBy()](/gatherers4j/gatherers/mathematical/runningstandarddeviationby/): Calculate the running standard deviation of `BigDecimal` objects mapped from a `Stream` via a `mappingFunction`, as either a population or a sample. - [runningStatistics()](/gatherers4j/gatherers/mathematical/runningstatistics/): Calculate summary statistics (count, sum, mean, min, max, variance, and standard deviation) of a `Stream` so far. - [runningStatisticsBy()](/gatherers4j/gatherers/mathematical/runningstatisticsby/): Calculate summary statistics (count, sum, mean, min, max, variance, and standard deviation) of `BigDecimal` objects mapped from a `Stream` via a `mappingFunction` so far. - [runningSum()](/gatherers4j/gatherers/mathematical/runningsum/): Calculate the running sum of a `Stream`. - [runningSumBy()](/gatherers4j/gatherers/mathematical/runningsumby/): Calculate the running sum of `BigDecimal` objects mapped from a `Stream` via a `mappingFunction`. - [runningVariance()](/gatherers4j/gatherers/mathematical/runningvariance/): Calculate the running variance of a `Stream`, as either a population or a sample. - [runningVarianceBy()](/gatherers4j/gatherers/mathematical/runningvarianceby/): Calculate the running variance of `BigDecimal` objects mapped from a `Stream` via a `mappingFunction`, as either a population or a sample.