N-Body Simulation

Theory Step 1: Particle Characteristics Each particle is treated as a point mass, and each point mass has three intrinsic characteristics: a mass \(m_i\), a position vector \(\vec{r}_i=\left[\begin{array}{ccc}x_i & y_i & z_i\end{array}\right]\), and a velocity vector \(\vec{v}_i=\left[\begin{array}{ccc}u_i & v_i & w_i\end{array}\right]\). Step 2: Force Calculation According to Newton’s law of universal gravitation, given two distinct point masses in space, the gravitational force acting on the objects takes the form: $$F=G\frac{m_1m_2}{r^2}$$...

December 21, 2022 · 2 min

Method of Characteristics

Theory Inline code \(y_t\). Numerical Implementation Normal: $$y_t = \beta_0 + \beta_1 x_t + \epsilon_t$$ see above.

December 19, 2022 · 1 min

Personal Library

If the work has LOC data in its front matter or is listed in the official Library of Congress catalog, that classification is used here. Otherwise, I have used my best judgement to sort some of the more obscure entries. B: Philosophy, Psychology, and Religion B: General Philosophy Aurelius, Marcus (tr. Hammond, Martin) - Meditations Nietzsche, Friedrich (tr. Hollingdale, R. J.) - Thus Spoke Zarathustra: A Book for Everyone and No One Plato (tr....

November 22, 2022 · 4 min

Arch Linux

Manual Install Create an EFI, swap, and root partition. Mount the EFI and root partitions and enable the swap drive with swapon. Settings for archinstall Archinstall language: English Keyboard layout: us Mirror region: United States Locale language: en_US Locale encoding: UTF-8 Drives: 8.0 GB Disk layout: Wipe all drives, ext4 Encryption password: None Bootloader: grub-install Swap: True Hostname: linux-arch-i3wm Root password: arch User account: username:nathan | password:arch | sudo:true Profile: desktop, i3-gaps, VMware/VirtualBox Audio: pipewire Kernels: linux Additional packages: firefox, alacritty Network configuration: Copy ISO configuration Timezone: US/Central NTP: True Optional repositories: None Settings for i3-gaps Creating xinitrc config file:...

November 14, 2022 · 5 min