k1729p / Study19

Study19 README Contents

Research mathematics and statistics

The sections of this project:

1. Compact Number Format
2. Remapping Functions With Logical Operators
3. Even & Odd Numbers
4. Golden Ratio
5. Fibonacci Numbers
6. Least Common Multiple
7. Cubes & Roots
8. Big Decimals Multiplication
9. Big Integer Raising
10. Big Integer Randomly Generating
11. Clamp Numbers & Compare Big Decimals
12. Means: Harmonic, Geometric, Arithmetic, Quadratic
13. Summary Statistics
14. Bayes' Theorem: Randomized Trials Launcher
15. Bayes' Theorem: Statistical Measures

Java source code:

package kp

Java API Documentation

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Action:

1. With the batch file '01 MVN clean install + Run Application.bat' launch the 'Application'.

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1. The compact number format. The method 'kp.math.NumberInCompactForm::format'.

Console log from 'NumberInCompactForm::format' method.

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2. The remapping functions with logical operators. The method 'kp.math.Logic::mergeMap'.

Console log from 'Logic::mergeMap' method.

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3. Segregating with the method 'Collectors::partitioningBy'.
The method 'kp.math.EvenAndOddNumbers::segregate'.

Console log from 'EvenAndOddNumbers::segregate' method.

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4. Computing the golden ratio with different scales. The method 'kp.math.GoldenRatio::compute'.

Console log from 'GoldenRatio::compute' method.

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5. Computing the Fibonacci numbers with different algorithms.
The method 'kp.math.FibonacciNumbers::compute'.

Console log from 'FibonacciNumbers::compute' method.

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6. Computing the least common multiple. The method 'kp.math.LeastCommonMultiple::compute'.

Console log from 'LeastCommonMultiple::compute' method.

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7. Computing the cubes and the roots.

The method 'kp.math.CubesAndRoots::compute'.

Console log from 'CubesAndRoots::compute' method.

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8. Multiplicating the 'BigDecimal'. The method 'kp.math.BigDecimalsFromStringRepresentation::multiply'.

Console log from 'BigDecimalsFromStringRepresentation::multiply' method.

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9. Raising the 'BigInteger' with the specified value to the specified exponent value.
The method 'kp.math.VeryBigIntegerRaised::compute'.

The screenshot of the console log from 'VeryBigIntegerRaised::compute' method.

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10. Generating the 'BigInteger' with the 'SecureRandom'.
The method 'kp.math.VeryBigIntegerRandomlyGenerated::compute'.

Console log from 'VeryBigIntegerRandomlyGenerated::compute' method.

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11. Clamping the numbers and comparing the BigDecimal numbers.

The method 'kp.math.ClampNumbersAndCompareBigDecimals::clampNumbers'.

Console log from 'ClampNumbersAndCompareBigDecimals::clampNumbers' method.

The method 'kp.math.ClampNumbersAndCompareBigDecimals::compareBigDecimals'.

Console log from 'ClampNumbersAndCompareBigDecimals::compareBigDecimals' method.

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12. Computing the means with the method 'Collectors::teeing'.
The method 'kp.math.means.Means::computeMeansWithTeeing'.

Console log from 'Means::computeMeansWithTeeing' method.

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13. Computing the average with the method 'LongStream::average' and the 'LongSummaryStatistics' with the method 'LongStream::summaryStatistics'.
The method 'kp.math.means.SummaryStatistics::show'.

Console log from 'SummaryStatistics::show' method.

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14. Launching the series of randomized trials.
The method 'kp.math.means.bayes.RandomizedTrialsLauncher::launchSeriesOfTrials'.

TN True Negative TP True Positive PG Positive Genuine PR Positive Received TPR True Positive Rate (Sensitivity) PPV Positive Predictive Value (Precision)

FN False Negative FP False Positive NG Negative Genuine NR Negative Received TNR True Negative Rate (Specificity) NPV Negative Predictive Value

Console log from 'RandomizedTrialsLauncher::launchSeriesOfTrials' method.

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15. Measuring the samples for the Bayes Formula.
The method 'kp.math.means.bayes.StatisticalMeasures::measureSamples'.

The screenshot of the console log from 'StatisticalMeasures::measureSamples' method.

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