We are publishing the chart for DELTA_{{24,23,1}}(x) up to 10^{16} in Chebyshev’s Bias. The chart was obtained using our Chebyshev’s Bias Visualizer.

# Category Archives: Software

# Chebyshev’s Bias: Chart for DELTA{24,19,1}(x)

We are publishing the chart for DELTA_{{24,19,1}}(x) up to 10^{16} in Chebyshev’s Bias. The chart was obtained using our Chebyshev’s Bias Visualizer.

# MacOS version of new “Chebyshev’s Bias Visualizer” released

We are releasing the MacOS version for the new “Chebyshev’s Bias Visualizer”. The new version has an improved user interface as well as a number of additional features like chart scrolling and zooming. For your convenience, the executable is released in .app as well as in .dmg versions.

Please, download it through the following link: cbv2_macos64_setup.

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

# Number of Cardan grilles

For my Cryptography classes I wrote a small application that calculates a total number of unique Cardan grilles and generates some of them. You can download it here (Windows 64 bit only!).

I also generated 262144 unique Cardan grilles for a 6×6 square. This is also available for download. Enjoy!

# Coupon collector’s problem

For my Probability and Statistics classes I wrote a small application that solves a famous Coupon Collector’s Problem: “A breakfast cereal manufacturer offers a coupon hidden in each package of cereal, and there are K kinds of coupons altogether. The collector wants to have a complete collection of all K coupons. What is the probability P(N,K) that exactly N boxes of cereal will have to be purchased in order to obtain, for the first time, a complete collection of at least one of each of the K kinds of coupons?”

You can download our application here (Windows 64-bit only). The application uses bignum arithmetic and works for any K and N . The solution was also separately confirmed by numerical simulation. Enjoy!

# 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).

# 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?”

# “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.

# “Easy Rule 30” updated

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