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@@ -7,10 +7,6 @@ A repository of publically-accessible resources for learning & self-teaching mat
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_______________________________________________________________________________________________________________
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Primary URL for the repository: [OJB-Quantum/Math-and-Physics-How-To](https://github.com/OJB-Quantum/Math-and-Physics-How-To)
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### In Case You Want Some Fun Open Access Interactive Tools to Try:
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- [Free Education](https://ojb-quantum.github.io/Free-Education)
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### Pro Tips for Solving Mathematical Problems by O.J.B.:
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### Pro Tips for Solving Mathematical Problems by (O.J.B.):
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| Tip | Explanation/ Details |
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| :--- | :--- |
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| Substitute variables with custom <br> variables (e.g., AbcdEfG) | Solve the equation using your own variables, then mirror the <br> steps onto the original problem for proportional reasoning. |
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| Substitute giveb variables with custom <br> variables (e.g., AbcdEfG) | Solve the equation using your own variables, then mirror the <br> steps onto the original problem for proportional reasoning. |
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| Interpret the equal sign as <br> "converts to" | Thinking of "=" as "converts to" can facilitate substitutions & <br> manipulations in other mathematical expressions. |
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| Think in terms of ratios by <br> default | Viewing values as ratios can simplify problem-solving & <br> conceptual understanding. |
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| Use software tools for conversion <br> to markdown or LaTeX | Convert equations for better inspection & rendering, ensuring <br> accuracy. |
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## All The Physics You Need, Curated by O.J.B.:
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### Below is an Example by (O.J.B.) on How to Substitute with Custom Variables:
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![mathpix 2025-02-03 08-56-51](https://github.com/user-attachments/assets/10f4cec8-a7ad-404e-9229-fce11056c2d5)
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## All The Physics You Need, Curated by (O.J.B.):
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| Topic | Source |
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| Math Notes for Quantum Information Science| [Introduction to Quantum Information Science](https://qubit.guide/some-mathematical-preliminaries) |
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| Time-Dependent Quantum Mechanics & Spectroscopy Notes | [UChicago](https://tdqms.uchicago.edu) |
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| Solid-State Physics | [Prof. M. S. Dresselhaus](https://web.mit.edu/6.732/www/texts.html)|
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| Transport in Semiconductor Mesoscopic Devices | [David K. Ferry (Book 1)](https://iopscience.iop.org/book/mono/978-0-7503-3139-5) / <br> [David K. Ferry (Book 2)](https://iopscience.iop.org/book/mono/978-0-7503-1103-8) |
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## Additional Physics & Mathematics Resources:
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| [Partial Derivatives - Multivariable Calculus](https://youtu.be/JAf_aSIJryg) |
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| [Vector Fields, Divergence, and Curl](https://youtu.be/2qxxd68fZng) |
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### Table of Critical Equations to Know:

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