daviddoji/CalculusWithJuliaNotes.jl
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jverzani 2025-04-23 11:40:01 -04:00
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.#_typos.toml Symbolic link
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jverzani@john-verzanis-macbook-pro.local.64723:32

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quarto/misc/julia_interfaces.qmd
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"Project [Jupyter](https://jupyter.org/) exists to develop open-source software, open-standards, and services for interactive computing across dozens of programming languages." The `IJulia` package allows `Julia` to be one of these programming languages. This package must be installed prior to use.
The Jupyter Project provides two web-based interfaces to `Julia`: the Jupyter notebook and the newer JupyterLab. The [binder](https://mybinder.org/) project use Juptyer notebooks for their primary interface to `Julia`. To use a binder notebook, follow this link:
The Jupyter Project provides two web-based interfaces to `Julia`: the Jupyter notebook and the newer JupyterLab. The [binder](https://mybinder.org/) project use Jupyter notebooks for their primary interface to `Julia`. To use a binder notebook, follow this link:
[launch binder](https://mybinder.org/v2/gh/CalculusWithJulia/CwJScratchPad.git/master)

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quarto/misc/quick_notes.qmd
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### Divergence
Numerically, the divergence can be computed from the Jacobian by adding the diagonal elements. This is a numerically inefficient, as the other partial derivates must be found and discarded, but this is generally not an issue for these notes. The following uses `tr` (the trace from the `LinearAlgebra` package) to find the sum of a diagonal.
Numerically, the divergence can be computed from the Jacobian by adding the diagonal elements. This is a numerically inefficient, as the other partial derivatives must be found and discarded, but this is generally not an issue for these notes. The following uses `tr` (the trace from the `LinearAlgebra` package) to find the sum of a diagonal.
```{julia}

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quarto/precalc/julia_overview.qmd
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* An IDE. For programmers, an integrated development environment is often used to manage bigger projects. `Julia` has `Juno` and `VSCode`.
* A notebook. The [Project Juptyer](https://jupyter.org/) provides a notebook interface for interacting with `Julia` and a more `IDE` style `jupyterlab` interface. A jupyter notebook has cells where commands are typed and immediately following is the printed output returned by `Julia`. The output of a cell depends on the state of the kernel when the cell is computed, not the order of the cells in the notebook. Cells have a number attached, showing the execution order. The `Juypter` notebook is used by `binder` and can be used locally through the `IJulia` package. This notebook has the ability to display many different types of outputs in addition to plain text, such as images, marked up math text, etc.
* A notebook. The [Project Jupyter](https://jupyter.org/) provides a notebook interface for interacting with `Julia` and a more `IDE` style `jupyterlab` interface. A jupyter notebook has cells where commands are typed and immediately following is the printed output returned by `Julia`. The output of a cell depends on the state of the kernel when the cell is computed, not the order of the cells in the notebook. Cells have a number attached, showing the execution order. The `Juypter` notebook is used by `binder` and can be used locally through the `IJulia` package. This notebook has the ability to display many different types of outputs in addition to plain text, such as images, marked up math text, etc.
* The [Pluto](https://github.com/fonsp/Pluto.jl) package provides a *reactive* notebook interface. Reactive means when one "cell" is modified and executed, the new values cascade to all other dependent cells which in turn are updated. This is very useful for exploring a parameter space, say. Pluto notebooks can be exported as HTML files which make them easy to read online and – by clever design – embed the `.jl` file that can run through `Pluto` if it is downloaded.