Packages amsmath - allows for enhanced structuring and formatting of equations and operators. mathtools - loads amsmath, corrects some bugs and errors within, and adds functionality for two-line fractions and more. amssymb - provides an extended symbol collection
Most Laplace tables I have found online have either too little information or do not meet my standards for typesetting, so I made my own. Document Source Code 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 \documentclass[12pt]{article} \usepackage[margin=0....
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: $$F=G\frac{m_1m_2}{r^2}$$...
Theory Inline code \(y_t\). Numerical Implementation Normal: $$y_t = \beta_0 + \beta_1 x_t + \epsilon_t$$ see above.
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....
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:...