Historical development[ edit ] The Euclidean algorithm was probably invented centuries before Euclidshown here holding a compass. The Euclidean algorithm is one of the oldest algorithms in common use. In modern usage, one would say it was formulated there for real numbers.

The source code version includes all the algorithms. It requires prior experience with Java for compiling the source code and running the examples. The release version provides a graphical user interface and a command line interface.

It offer all of the algorithms except a few exceptions. Source code version algorithms Release version algorithms 1 Download spmf. If the question has to be private, you can send-me an e-mail. Release notes v 2. Several algorithm implementations by Siddharth Dawar, Vikram Goyal et al.: I have not updated the documentation for this algorithm yet.

The bugs of the Java implementation have been fixed by Chaomin Huang. When the bugs are fixed, these algorithms will be added again to SPMF. Added an algorithm named TopSeqClassRules, which is a variation of TopSeqRules that allows to discover the top-k class sequential rules, that is the k most frequent sequential rules that appear in a sequence database, where the consequent of rules is an item chosen from a list of allowed items specified by the user.

Added optional maximum antecedent and maximum consequent parameters for several algorithms: Note that this implementation does not include all the optimizations of TKO described in the journal paper. But this implementation can still be quite fast.

Sivamathi for reporting the problem v.

The TUP algorithm to discover the top-k high utility episodes in a complex event sequence thanks to Sonam Rathore, Siddarth Dawar et al for providing their original implementation.

Fixed a bug in the output of HAUI-Miner such that the average utility was always rounded to an integer value. Algorithm to calculate the min max normalization of a time series.

Algorithm to calculate the standardization of a time series. Algorithm to calculate the first order differencing of a time series Algorithm to calculate the second order differencing of a time series Algorithm to calculate the exponential smoothing of a time series Algorithm to calculate the autocorrelation function of a time series Algorithms to calculate the prior average, central average and cumulative average of a time series previously, only the prior average was available in SPMF and was called "moving average".

Now three types of moving average are offered and the prior moving average has been renamed Bug fixe s: Fixed a bug in AlgoArrays. Fixed a bug such that the optional sequence identifiers in the output of some sequential pattern mining algorithms were incorrect.

According to the documentation, sequence identifiers should start at 0, while for some algorithms, the sequence identifiers were starting from 1.

Now the sequence identifiers start from 0 for all the algorithms. Thanks to Mathieu Gousseff for reporting the bug. Fixed a bug for the FEAT algorithm such that it was throwing exception when using the optional parameter to show sequence identifiers.

An algorithm to calculate the regression line of a time series using the least squares method. After applying the algorithm to train a linear regression model, the model.

Added the possibility of specifying a maximum pattern length to the following algorithms: Fixed a bug in the new version of the Apriori implementation with length constraint. Thanks to Muhammad Yasir Chaudhry for reporting the bug.

Thanks to Majdi Mafarja for reporting the problem. Thanks to Matthieu Gousseff for reporting the bug. Improved the documentation of SPMF by dividing the single documentation page into multiple webpages for achival purpose, the old documentation page for SPMF 2. They thus keep transactions identifiers of patterns in memory to avoid scanning the database repeatedly, and can output the transaction ids to the output file by setting the parameter "Show transactions IDs?

Fixed and reuploaded the "retail" and "pumsb" datasets. They contained an item with the id "0".

But some algorithms such as EFIM assume that item identifiers must be positive thanks to Srikumar Krishnamoorthy for reporting this problem Added a tool to add a value to all item identifiers in a transaction database.

This was used to fix the above dataset problem. Fixed a bug in the generation of closed association rule mining using the FPClose algorithm thanks to Benjamin Andow for reporting the bug v.

Modified the user interface so that algorithms can have up to seven parameters. The user can now obtain information about how a prediction was made.The greatest common divisor (GCD) of a and b is the largest number that divides both of them with no remainder.

One way to find the GCD of two numbers is Euclid’s algorithm, which is based on the. In mathematics, the greatest common divisor (gcd) of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.

For example, the gcd of 8 and 12 is 4. Simple Java program to find GCD (Greatest common Divisor) or GCF (Greatest Common Factor) or HCF (Highest common factor). The GCD of two numbers is the largest positive integer that divides both the numbers fully i.e.

without any remainder. GCD of two numbers is the largest number that divides both of them. A simple way to find GCD is to factorize both numbers and multiply common factors.

Basic Euclidean Algorithm for GCD The algorithm is based on below facts. If we subtract smaller number from larger (we reduce larger number), GCD.

Open Digital tranceformingnlp.com for CBSE, GCSE, ICSE and Indian state boards. A repository of tutorials and visualizations to help students learn Computer Science, Mathematics, Physics and Electrical Engineering basics. Visualizations are in the form of Java applets and HTML5 visuals.

Graphical Educational content for Mathematics, Science, Computer Science. Given a few terms of a sequence, we are often asked to find the expression for the nth term of this sequence. While there is a multitude of ways to do this, In this article, we discuss an algorithmic approach which will give the correct answer for any polynomial expression.

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C Program to Find GCD of two Numbers