Linux version of new “Chebyshev’s Bias Visualizer” released

We are releasing the Linux version for the new “Chebyshev’s Bias Visualizer” (version 2.0).

Please, download it through the following link: cbv2_linux64_setup.

The version was tested for Ubuntu 16.04, Ubuntu 18.04 and Gentoo Linux.

The version was tested for Ubuntu 16.04, Ubuntu 18.04 and Gentoo Linux.

Banach Matchbox Problem

For my Probability and Statistics classes I wrote a small application that simulates a famous Banach Matchbox Problem: “Suppose a mathematician carries two matchboxes at all times: one in his left pocket and one in his right. Each time he needs a match, he is equally likely to take it from either pocket. Suppose he reaches into his pocket and discovers for the first time that the box picked is empty. If it is assumed that each of the matchboxes originally contained N matches, what is the probability that there are exactly K matches in the other box?”You can download our application for Windows, Linux and MacOS 64-bit only. Enjoy!

Modified Birthday Paradox

For my Probability and Statistics classes I wrote a small application that simulates a modified Birthday Paradox: “Given N people in the room, what is the probability that K days will be shared as birthdays (meaning each day is shared by 1, 2, 3, 4 or more pairs)?”

You can download our application here (Windows, Linux and MacOS 64-bit only). Enjoy!

New version of “Chebyshev’s Bias Visualizer” released

We are releasing the second version of “Chebyshev’s Bias Visualizer” – the application that allows to demonstrate the math phenomenon discovered over 165 years ago by a brilliant Russian mathematician Pafnuty L. Chebyshev and related to the Generalized Riemann Hypothesis.

The released version has an improved interface and a number of new features like chart scrolling and zooming.

You can download Windows 64-bit version through the following link: cbv_win64_setup

Versions for other platforms will be released later.

MacOS version of “Chebyshev’s Bias Visualizer” released

We are releasing the MacOS version for the “Chebyshev’s Bias Visualizer”.

Please, download it through the following link: cbv_macos64_setup.

The version was tested for MacOS Catalina on a virtual machine only. 

Linux version of “Chebyshev’s Bias Visualizer” released

We are releasing the Linux version for the “Chebyshev’s Bias Visualizer”.

Please, download it through the following link: cbv_linux64_setup (new version 2.0 placed for download as current, see Linux version of new «Chebyshev’s Bias Visualizer» released).

The version was tested for Ubuntu 16.04, Ubuntu 18.04 and Gentoo Linux.

“Chebyshev’s Bias Visualizer” released

We are releasing the first version of “Chebyshev’s Bias Visualizer” – the application that allows to demonstrate the math phenomenon discovered over 165 years ago by a brilliant Russian mathematician Pafnuty L. Chebyshev and related to the Generalized Riemann Hypothesis.

You can download Windows 64-bit version through the following link: cbv_win64_setup (new version 2.0 placed for download as current, see New version of «Chebyshev’s Bias Visualizer» released).

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No runs of K consecutive tails in N coin tosses

For my Probability and Statistics classes I wrote a small application that solves an old and  well-known problem: “What is the probability that no runs of K consecutive tails will occur in N coin tosses?”

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“Chebyshev’s Bias Visualizer” to be released soon

We are at the final stage of development for “Chebyshev’s Bias Visualizer”, a computer program that allows to visualize Chebyshev’s Bias, the phenomenon closely related to the Generalized Riemann Hypothesis.

The program is capable of producing graphs for any prime number race at required resolution level and save data for the future analysis and use with other graph and data analysis software.

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Collatz function data for 2^82589933 – 1 (#1 known megaprime)

We publish our first data on the Collatz function for 282589933 – 1  (#1 known megaprime) and two of its odd neighbors located at ±2.

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Collatz function data for 2^77232917 – 1 (#2 known megaprime)

We publish our first data on the Collatz function for 277232917 – 1  (#2 known megaprime) and two of its odd neighbors located at ±4.

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Collatz function data for 2^74207281 – 1 (#3 known megaprime)

We publish our first data on the Collatz function for 274207281 – 1  (#3 known megaprime) and two of its odd neighbors located at ±6.

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Collatz function data for 2^57885161 – 1 (#4 known megaprime)

We publish our first data on the Collatz function for 257885161 – 1  (#4 known megaprime) and two of its odd neighbors located at ±8.

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“Easy Rule 30” updated

Our “Easy Rule 30” was updated. You can download updated version through the following links:

Windows 64-bit version

Windows 32-bit version

Linux 64-bit version

MacOS 32/64-bit version

Collatz function data for 2^43112609 – 1 (#5 known megaprime)

We publish our first data on the Collatz function for 243112609 – 1  (#5 known megaprime) and two of its odd neighbors located at ±10.

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