[3] **viXra:1912.0434 [pdf]**
*submitted on 2019-12-24 04:12:54*

**Authors:** Folaranmi Akinola Davidson

**Comments:** 14 Pages. The source code for the GUI may be downloaded from

In this paper, a successful approach for the visualization of the solutions of initial value problems using different Runge-Kutta methods by developing a new graphical user interface (GUI), has been introduced. The main objective of the paper is to apply the tkinter, numpy[1] and matplotlib[2] modules of the Python programming language in developing a GUI that would enable the user to appreciate the accuracy of each Runge-Kutta method at different step size/increment. The second purpose of this paper is to develop a python module that contains functions that can be imported to .py files when the need to implement Runge-Kutta methods on initial value problems arises. The GUI was used to solve and plot the solutions of an initial value problem. The variations in the graph patterns illustrate the accuracy of the output of each method.
Keywords GUI, Runge-Kutta methods

**Category:** Data Structures and Algorithms

[2] **viXra:1912.0392 [pdf]**
*submitted on 2019-12-21 01:04:08*

**Authors:** Nirmal Tej Kumar

**Comments:** 1 Page. Short Communication-Review

Glimpsing into the Interesting World of Understanding & Exploring Semantics of Python Using Isabelle-HOL/JikesRVM – Research Virtual Machine in the Context of Heterogeneous Computing Environments.

**Category:** Data Structures and Algorithms

[1] **viXra:1912.0105 [pdf]**
*submitted on 2019-12-05 07:32:41*

**Authors:** George Rajna

**Comments:** 35 Pages.

Now, a new Tel Aviv University study proposes a radically simple and efficient way of calculating entropy-and it probably exists on your own computer. [22] "We studied two systems: a Bose-Einstein condensate with 100,000 atoms confined in a cavity and an optomechanical cavity that confines light between two mirrors," Gabriel Teixeira Landi, a professor at the University of São Paulo's Physics Institute (IF-USP), told. [21] Search engine entropy is thus important not only for the efficiency of search engines and those using them to find relevant information as well as to the success of the companies and other bodies running such systems, but also to those who run websites hoping to be found and visited following a search. [20] "We've experimentally confirmed the connection between information in the classical case and the quantum case," Murch said, "and we're seeing this new effect of information loss." [19] It's well-known that when a quantum system is continuously measured, it freezes, i.e., it stops changing, which is due to a phenomenon called the quantum Zeno effect. [18] Physicists have extended one of the most prominent fluctuation theorems of classical stochastic thermodynamics, the Jarzynski equality, to quantum field theory. [17] In 1993, physicist Lucien Hardy proposed an experiment showing that there is a small probability (around 6-9%) of observing a particle and its antiparticle interacting with each other without annihilating-something that is impossible in classical physics. [16] Scientists at the University of Geneva (UNIGE), Switzerland, recently reengineered their data processing, demonstrating that 16 million atoms were entangled in a one-centimetre crystal. [15] The fact that it is possible to retrieve this lost information reveals new insight into the fundamental nature of quantum measurements, mainly by supporting the idea that quantum measurements contain both quantum and classical components. [14]

**Category:** Data Structures and Algorithms