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Part 3: ElectrodynamicsNode id: 29page |
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20-02-08 17:02:17 |
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Mechanical oscillations Node id: 1323page$\renewcommand{\vec}[1]{\mathbf{#1}}$
- Harmonic motion equation and its solution:$$\ddot{x} +{\omega}^2_0 x=0, x= a\cos(\omega_0 t+ \alpha),\tag{1} $$where $\omega_0$ is the natural oscillation frequency.
- Damped oscillation equation and its solution:$$ \ddot{x}+2 \beta \dot{x} +\omega^2_0 x=0, x=a_0 e^{-\beta t} \cos(\omega t + \alpha)$$ where $\beta$ is the damping coefficient, $\omega$ is the frequency of damped oscillations:$$ \omega = \sqrt{\omega^2_0 - \beta^2}.$$
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23-10-30 07:10:30 |
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Part 5: OpticsNode id: 31page |
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20-02-08 17:02:17 |
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Chemistry formulae and equationsNode id: 4580pageThe site supports typesetting chemical formulae and equation using MathJax extension mhchem.
Here are a few examples taken from the mhchem manual site.
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21-08-14 00:08:08 |
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Elastic waves, Acoustic Node id: 1325page$\renewcommand{\vec}[1]{\mathbf{#1}}$
- Equations of plane and spherical waves:$$\xi = a\cos(\omega t - kx), \xi = \frac{a_0}{r} \cos (\omega t - kr). $$ In the case of a homogeneous absorbing medium the factors $e^{-\gamma x}$ and $e^{-\gamma r}$ respectively appear in the formulas, where $\gamma$ is the wave damping coefficient.
- Wave equation:$$ \frac{\partial^2 \xi}{\partial x^2} + \frac{\partial^2 \xi }{\partial y^2} + \frac{\partial^2 \xi}{\partial z^2} = \frac{1}{v^2}\frac{\partial^2\xi}{\partial t^2}$$
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23-10-30 07:10:55 |
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KinematicsNode id: 33page |
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23-10-25 23:10:54 |
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Interference of lightNode id: 4277page |
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23-10-30 07:10:16 |
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Laws of Conservation of Energy, Momentum, and Angular MomentumNode id: 35page |
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23-10-29 07:10:48 |
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Polarization of LightNode id: 4281page |
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23-10-30 07:10:59 |
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Dynamics of a Solid BodyNode id: 37page |
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23-10-30 07:10:28 |
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Authoring Environment and ToolsNode id: 5394slideshow |
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24-07-04 08:07:11 |
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Optics of Moving SourcesNode id: 4290page |
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23-10-30 07:10:56 |
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HydrodynamicsNode id: 39page |
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23-10-30 07:10:25 |
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Help & TipsNode id: 806page
For viewing long pages, you may use F11 function key for full-screen mode. You may also use zoom-in (Ctrl & +), zoom-out (Ctrl & -) and reset zoom to default (Ctrl & 0).
Clicking a link/button will load the linked page in - 1. the same browser window, 2. in a new browser window/tab, 3. in a modal window, or 4. might just pop up a message box Buttons are mostly used to submit some data (e.g, content or comment)
Modal & popup windows are ways to show you a new page without moving (navigating) away from the page opened in the current browser window/tab.
Some links and buttons on an opened page might load the next requested page in a box ("modal window") in the foreground. The page content is covered by a partially transparent gray layer making the content inaccessible (to mouse) until the modal window is closed.
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22-05-26 12:05:31 |
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Equation of the Gas State. ProcessesNode id: 41page |
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23-10-30 07:10:37 |
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A Sample PathNode id: 1509pathThis is a path page with a path diagram.
The path page has an embedded tool - path diagram editor, which has its separate toolbar (maybe hidden - look for » button, above the path diagram on the left).
A path page may have additional text below the path diagram.
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20-12-28 09:12:19 |
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Kinetic Theory of Gases. Boltzmann's Law and Maxwell's DistributionNode id: 43page |
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23-10-30 07:10:17 |
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MathJax Quick ReferenceNode id: 6325pageThe following PDF document is from a link found using Google search.
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24-07-04 08:07:44 |
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Liquids. Capillary EffectsNode id: 45page |
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23-10-30 07:10:51 |
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Create New Drawing Node id: 551drawingHelpA drawing tool for quick creation of diagrams for your content. Create, save and insert in your page. Click Help to learn more about the tool.
This page has an embedded drawing tool - "SVG-edit". The drawings are reusable; they get saved in your workspace, and can be inserted in a page.
You may find this tutorial very helpful.
Scalable Vector Graphics (SVG) images and their behaviors are defined in (XML) text files. The drawing tool provided here is for creating 2D graphics. (In general, this text-based SVG graphics file format supports interactivity and animation.) Your drawings can be saved and (re)opened from your 0space workspace.
You might like to look at "Method" (a fork of SVG-edit), "drawsvg", and "svgreal".
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22-05-28 11:05:37 |
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