Category Archives: Main

Main

New version of “Chebyshev’s Bias Visualizer” released

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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

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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

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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

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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

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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

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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)

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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)

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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)

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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)

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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

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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)

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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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Additional Collatz function data for 2^42643801 – 1 (#6 known megaprime)

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We publish further data on the Collatz function for 242643801 – 1  (#6 known megaprime) and two of its odd neighbors located at ±12.

Once the maximum is reached, the speed of decline for the log of the Collatz  function seems to be the same for all tested numbers and is equal to approximately -0.096.

“Easy Rule 30” available for download

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Our “Easy Rule 30” has become available for download.

Please, use the following links to download:

Windows 64-bit version

Windows 32-bit version

Linux 64-bit version

MacOS 32/64-bit version

Collatz function data for 2^42643801 – 1 (#6 known megaprime)

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We publish our first data on the Collatz function for 242643801 – 1  (#6 known megaprime) and two of its odd neighbors located at ±12.

Continue reading →