Linux server security for SSH

Anyone only needs to know these four elements to access your Linux server: IP address, port, username, and password. Clearly, the security of these four components is the baseline we need to protect. Let’s analyze them one by one: IP Address: Malicious scripts can randomly attempt and scan IP ranges, so it can be considered … Read more

Every polynomial equation with complex coefficients has at least one root in the complex number field

Every polynomial equation with complex coefficients has at least one root in the complex number field. This fundamental result is known as the Fundamental Theorem of Algebra. It states that every non-constant polynomial equation of degree greater than or equal to 1 has at least one complex root. The complex number field, denoted as ℂ, … Read more

Clipboard in Javascript

To get the content from the clipboard in JavaScript, you can use the Clipboard API, which provides a way to interact with the clipboard. Here’s how you can do it: javascriptCopy code Here’s a breakdown of the code: Keep in mind that clipboard access in browsers is subject to user permissions and security considerations. In … Read more

IPv6 on IPv4

An IPv6 tunnel broker is a service or organization that provides a way for users to access the IPv6 internet when their internet service provider (ISP) does not offer native IPv6 connectivity. This is typically done by encapsulating IPv6 packets within IPv4 packets and routing them through a tunnel to a remote server that has … Read more

Cross-section of nuclear fusions

In the context of nuclear fusion, the cross-section refers to the measure of the likelihood that two atomic nuclei will undergo a fusion reaction when they collide. It is typically denoted by the symbol “σ” (sigma) and has units of area. The cross-section for nuclear fusion depends on various factors, including the types of nuclei … Read more

Replace tool: Convert the express in Wolfram Mathematica to Javascript

from Wolfram Mathematica to JavaScript might require understanding the specific functionality of both languages, as they have different syntax and capabilities. Certainly! The FortranForm function in Mathematica is used to convert expressions into a form that is more suitable for use in Fortran code. It ensures that the syntax and formatting match the Fortran programming … Read more

Coulomb potential barrier

The Coulomb potential barrier, also known as the Coulomb barrier, is a concept in physics that refers to the energy barrier that must be overcome for two charged particles to interact or come close enough to undergo a specific process, such as nuclear reactions or particle interactions. It arises due to the electrostatic repulsion or … Read more

Matrix form of Vector operation

Matrix is a tool to deal with the linear algebra. Vector is usually used to describe most of the physical quantities those have both the direction and amplitude. The vector operations are usually very complicated in the vector algebra. A vector is a simple matrix. I try to obtain the matrix form of vector operation … Read more

A simple and fast tool to estimate the electron cyclotron wave propagation in tokamak plasma.

Electron cyclotron resonance heating is the simplest of the radio frequency heating methods. There is no evanescent region between the antenna and the plasma. However there may be cut-offs in the plasma. It turns out to provide remarkable advantages for heating of fusion plasma. An electromagnetic wave in the electron cyclotron resonance frequency range always … Read more

Transverse electric(TE) wave in circular waveguides

Circular waveguides offer implementation advantages over rectangular wave guide is that installation is much simpler when forming runs of turns and offsets. The uniform section in the gyrotron cavity is a circular waveguide. The working mode is usually a transverse electric mode in the cavity. Here is a calculator for the Transverse Electric mode in … Read more