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Category Archives: Math
Implementing non-integer Factorial and Gamma function for BigDecimal
Introduction This article describes how the factorial and Gamma functions for non-integer arguments where implemented for the big-math library. For an introduction into the Gamma function see Wikipedia: Gamma Function Attempt to use Euler’s definition as an infinite product Euler’s … Continue reading
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Release 2.0.0 of big-math library supports now complex numbers
The easter week-end was the perfect time to polish and release version 2.0.0 of the big-math library. The class BigComplex represents complex numbers in the form (a + bi). It follows the design of BigComplex with some convenience improvements like … Continue reading
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Adaptive precision in Newton’s Method
This describes a way to improve the performance of a BigDecimal based implementation of Newton’s Method by adapting the precision for every iteration to the maximum precision that is actually possible at this step. As showcase I have picked the … Continue reading
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BigDecimalMath
Java 8 is out and there are still no Math functions for BigDecimal. After playing around with some implementations to calculate Pi I decided to write some implementation of BigDecimalMath to fill this gap. The result of this is available … Continue reading
Posted in Development, Java, Math
Tagged algorithm, BigDecimal, Java, math, optimization, performance, precision, programming
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Bernoulli Numbers
As part of the ongoing development of the BigRational and BigDecimalMath classes I needed to implement a method to calculate the Bernoulli numbers. Since I had a hard time to find a reference list of the Bernoulli numbers I will … Continue reading
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