### PlasmaPy Documentation Examples

Source: https://docs.plasmapy.org/en/stable/_sources/notebooks/diagnostics/charged_particle_radiography_particle_tracing_wire_mesh.ipynb.txt

How to run and understand the code examples provided in the PlasmaPy documentation.

```python
# To run examples, ensure you have PlasmaPy and its dependencies installed.
# Copy the code block from the documentation into a Python interpreter or script.
# For example:
# from plasmapy.formulary import plasma_frequency
# from astropy import units as u
# n_e = 1e19 * u.m**-3
# T_e = 1e6 * u.K
# omega_p = plasma_frequency(n_e, T_e)
# print(omega_p)
```

--------------------------------

### Example Notebooks

Source: https://docs.plasmapy.org/en/stable/api_static/plasmapy.particles.particle_class.html

Links to example notebooks demonstrating the usage of PlasmaPy particles.

```APIDOC
## Example notebooks

Using PlasmaPy Particles
```

--------------------------------

### Install testing dependencies

Source: https://docs.plasmapy.org/en/stable/contributing/testing_guide.html

Install Nox and uv to manage and run the test suite.

```bash
python -m pip install uv nox nox-uv
```

```bash
py -m pip install uv nox nox-uv
```

--------------------------------

### Install documentation dependencies

Source: https://docs.plasmapy.org/en/stable/_sources/contributing/doc_guide.rst.txt

Install the necessary dependencies for building documentation and running tests from the repository root.

```bash
pip install -e .[docs,tests]
```

--------------------------------

### Example Parameter Definitions

Source: https://docs.plasmapy.org/en/stable/_sources/contributing/doc_guide.rst.txt

Common examples of parameter documentation for different data types.

```rst
x : `float`
    Description of ``x``.

y : `int`
    Description of ``y``.

settings : `dict` of `str` to `int`
    Description of ``settings``.
```

--------------------------------

### Install PlasmaPy with uv

Source: https://docs.plasmapy.org/en/stable/_sources/install.rst.txt

Install PlasmaPy into an activated uv-managed virtual environment.

```bash
uv pip install plasmapy
```

--------------------------------

### Install Documentation and Test Dependencies

Source: https://docs.plasmapy.org/en/stable/contributing/doc_guide.html

This command installs the necessary dependencies for building the documentation and running tests in an isolated virtual environment. It is recommended to run this from the top-level directory of the repository.

```bash
pip install -e .[docs,tests]

```

--------------------------------

### PlasmaPy Example Usage

Source: https://docs.plasmapy.org/en/stable/_sources/notebooks/diagnostics/charged_particle_radiography_particle_tracing_wire_mesh.ipynb.txt

A more integrated example showing multiple PlasmaPy functionalities.

```python
import plasmapy as pp
from astropy import units as u

# Define plasma parameters
n_e = 1e20 * u.m**-3
T_e = 5e6 * u.K
B = 0.5 * u.T
ion_species = 'He+'

# Calculate key plasma properties
omega_p = pp.formulary.plasma_frequency(n_e, T_e)
lambda_D = pp.formulary.debye_length(n_e, T_e)
v_A = pp.formulary.alfven_speed(B, n_e, ion_species=ion_species)

print(f"Plasma Frequency: {omega_p:.2e}")
print(f"Debye Length: {lambda_D:.2e}")
print(f"Alfven Speed: {v_A:.2e}")
```

--------------------------------

### Install Testing Dependencies (Windows)

Source: https://docs.plasmapy.org/en/stable/_sources/contributing/testing_guide.rst.txt

Installs uv, nox, and nox-uv using pip for Windows environments.

```powershell
py -m pip install uv nox nox-uv
```

--------------------------------

### Install pre-commit

Source: https://docs.plasmapy.org/en/stable/_sources/contributing/getting_ready.rst.txt

Install the pre-commit framework, which is used for running code quality checks and automated fixes. Execute this command in your terminal.

```bash
uv tool install pre-commit
```

--------------------------------

### Install Testing Dependencies (macOS/Linux/WSL)

Source: https://docs.plasmapy.org/en/stable/_sources/contributing/testing_guide.rst.txt

Installs uv, nox, and nox-uv using pip for macOS, Linux, or WSL environments.

```bash
python -m pip install uv nox nox-uv
```

--------------------------------

### Install PlasmaPy from Local Source

Source: https://docs.plasmapy.org/en/stable/_sources/install.rst.txt

After downloading or cloning the PlasmaPy source code, navigate to the directory and use this command to build and install it. This is typically done within the cloned repository's root directory.

```bash
pip install .
```

--------------------------------

### Example Notebook: Charged Particle Radiography Film Stacks

Source: https://docs.plasmapy.org/en/stable/_sources/ad/diagnostics/charged_particle_radiography/detector_stacks.rst.txt

An example notebook demonstrating the use of film stacks for charged particle radiography.

```APIDOC
## Example Notebook: Charged Particle Radiography Film Stacks

### Description
This example notebook illustrates how to use film stacks for charged particle radiography. It covers setup, simulation, and analysis of radiography data using film stacks.

### Notebook Path
/notebooks/diagnostics/charged_particle_radiography_film_stacks

### Usage
Refer to the notebook for practical implementation details and code examples.
```

--------------------------------

### FiniteStraightWire Initialization

Source: https://docs.plasmapy.org/en/stable/_modules/plasmapy/formulary/magnetostatics.html

Initializes a FiniteStraightWire object with specified start and end points and electric current. Raises a ValueError if the start and end points are the same.

```python
def __init__(
        self, p1: u.Quantity[u.m], p2: u.Quantity[u.m], current: u.Quantity[u.A]
    ) -> None:
        self.p1 = p1.value
        self.p2 = p2.value
        self._p1_u = p1.unit
        self._p2_u = p2.unit
        if np.all(p1 == p2):
            raise ValueError("p1, p2 should not be the same point.")
        self.current = current.value
        self._current_u = current.unit
```

--------------------------------

### Build Documentation with Make

Source: https://docs.plasmapy.org/en/stable/_sources/contributing/doc_guide.rst.txt

Use this command to build the documentation when make is installed. Navigate to the |docs|_ directory first.

```bash
make html
```

--------------------------------

### Getting Particle Charge

Source: https://docs.plasmapy.org/en/stable/_sources/notebooks/diagnostics/charged_particle_radiography_particle_tracing_wire_mesh.ipynb.txt

Example of retrieving the charge of a particle.

```python
from plasmapy.particles import Particle
from astropy import units as u

particle = Particle(element='He', atomic_number=2, charge_state=1)
charge = particle.charge
print(f"Charge of {particle.element}: {charge:.2f}")
```

--------------------------------

### Get Ionic Levels of Helium

Source: https://docs.plasmapy.org/en/stable/api/plasmapy.particles.atomic.ionic_levels.html

Use `ionic_levels` to get all ionic levels of an element starting from charge 0. Requires importing `ionic_levels` from `plasmapy.particles`.

```python
from plasmapy.particles import ionic_levels
>>> ionic_levels("He")
ParticleList(['He 0+', 'He 1+', 'He 2+'])
```

--------------------------------

### Importing necessary libraries

Source: https://docs.plasmapy.org/en/stable/_sources/notebooks/formulary/iter.ipynb.txt

Initial setup for plotting and plasma calculations.

```python
%matplotlib inline

import astropy.units as u
import matplotlib.pyplot as plt
import numpy as np

from plasmapy import formulary
```

--------------------------------

### Calculating Electron Mass in kg

Source: https://docs.plasmapy.org/en/stable/_sources/notebooks/diagnostics/charged_particle_radiography_particle_tracing_wire_mesh.ipynb.txt

Example of getting the electron mass in kilograms.

```python
from plasmapy.constants import m_e_kg

print(f"Electron mass (kg): {m_e_kg:.2e}")
```

--------------------------------

### Get Most Abundant Ion

Source: https://docs.plasmapy.org/en/stable/_sources/notebooks/particles/ace.ipynb.txt

Access the most abundant ion for a given element. No setup or imports are explicitly shown.

```python
He_states.Z_most_abundant
```

--------------------------------

### Build documentation with make

Source: https://docs.plasmapy.org/en/stable/contributing/doc_guide.html

Useful for interactive building and rebuilding of documentation.

```bash
make html
```

```bash
make clean
```

--------------------------------

### Plot Langmuir Characteristic

Source: https://docs.plasmapy.org/en/stable/api/plasmapy.diagnostics.langmuir.Characteristic.html

Generates a plot of the I-V characteristic using Matplotlib. No additional setup is required if Matplotlib is installed.

```python
characteristic.plot()
```

--------------------------------

### ParticleTracker Initialization and Setup

Source: https://docs.plasmapy.org/en/stable/api/plasmapy.simulation.particle_tracker.particle_tracker.ParticleTracker.html

Demonstrates how to initialize the ParticleTracker with a grid, termination condition, and other simulation parameters.

```APIDOC
## ParticleTracker Initialization

### Description
Initializes the ParticleTracker with a grid, termination condition, time step, and other simulation settings.

### Method
Instantiation of the `ParticleTracker` class.

### Parameters
- **grid** (CartesianGrid) - Required - The simulation grid.
- **termination_condition** (TerminationCondition) - Required - The condition to stop the simulation.
- **dt** (Quantity) - Optional - The time step for the simulation. Defaults to `1e-2 * u.s`.
- **save_routine** (SaveRoutine) - Optional - Routine for saving simulation data.
- **field_weighting** (str) - Optional - Method for field weighting. Defaults to "nearest neighbor".
- **verbose** (bool) - Optional - Whether to display verbose output. Defaults to `False`.

### Request Example
```python
from plasmapy.simulation import ParticleTracker
from plasmapy.simulation.grid import CartesianGrid
from plasmapy.simulation.termination_conditions import TimeElapsedTerminationCondition
from plasmapy.simulation.save_routines import IntervalSaveRoutine
import astropy.units as u

grid = CartesianGrid(-1e6 * u.m, 1e6 * u.m, num=2)
grid_shape = (2, 2, 2)
Bz = np.full(grid_shape, 1) * u.T
grid.add_quantities(B_z=Bz)
termination_condition = TimeElapsedTerminationCondition(6.28 * u.s)
save_routine = IntervalSaveRoutine(6.28 * u.s / 10)
simulation = ParticleTracker(
    grid,
    termination_condition,
    dt=1e-2 * u.s,
    save_routine=save_routine,
    field_weighting="nearest neighbor",
    verbose=False,
)
```
```

--------------------------------

### Get RMS Ion Charge

Source: https://docs.plasmapy.org/en/stable/_sources/notebooks/particles/ace.ipynb.txt

Retrieve the root-mean-square (RMS) charge of ions for a given element. No setup or imports are explicitly shown.

```python
He_states.Z_rms
```

--------------------------------

### Clone PlasmaPy GitHub Repository

Source: https://docs.plasmapy.org/en/stable/_sources/install.rst.txt

Use this command to clone the PlasmaPy GitHub repository to get the most recent development version. Ensure you have Git installed.

```bash
git clone https://github.com/PlasmaPy/PlasmaPy.git
```

--------------------------------

### Import PlasmaPy and Plotting Libraries

Source: https://docs.plasmapy.org/en/stable/notebooks/formulary/thermal_speed.html

Imports necessary modules from astropy, matplotlib, numpy, and PlasmaPy for calculations and plotting. This setup is required for all subsequent examples.

```python
%matplotlib inline

import astropy.units as u
import matplotlib.pyplot as plt
import numpy as np

from plasmapy.formulary import (
    Maxwellian_speed_1D,
    Maxwellian_speed_2D,
    Maxwellian_speed_3D,
)
from plasmapy.formulary.speeds import thermal_speed

```

--------------------------------

### Initialize and Run Particle Tracker

Source: https://docs.plasmapy.org/en/stable/api/plasmapy.simulation.particle_tracker.particle_tracker.ParticleTracker.html

Sets up a Cartesian grid, defines simulation parameters, loads particles, and runs the simulation. Ensure 'example_particle' is defined elsewhere.

```python
grid = CartesianGrid(-1e6 * u.m, 1e6 * u.m, num=2)
grid_shape = (2, 2, 2)
Bz = np.full(grid_shape, 1) * u.T
grid.add_quantities(B_z=Bz)
x = [[0, 0, 0]] * u.m
v = [[1, 0, 0]] * u.m / u.s
termination_condition = TimeElapsedTerminationCondition(6.28 * u.s)
save_routine = IntervalSaveRoutine(6.28 * u.s / 10)
simulation = ParticleTracker(
    grid,
    termination_condition,
    dt=1e-2 * u.s,
    save_routine=save_routine,
    field_weighting="nearest neighbor",
    verbose=False,
)
simulation.load_particles(x, v, example_particle)
simulation.run()
print(
    simulation.save_routine.results["time"][-1],
    simulation.save_routine.results["x"][-1],
)
```

--------------------------------

### Get Standard Atomic Weight of Element

Source: https://docs.plasmapy.org/en/stable/_modules/plasmapy/particles/atomic.html

Retrieve the standard atomic weight for a given element. Requires the element name or atomic symbol. Example uses 'H' and 'lead'.

```python
>>> standard_atomic_weight("H")
<Quantity 1.6738233e-27 kg>
>>> standard_atomic_weight("lead")
<Quantity 3.440636e-25 kg>
```

--------------------------------

### Import necessary libraries for Thomson scattering analysis

Source: https://docs.plasmapy.org/en/stable/_sources/notebooks/diagnostics/thomson.ipynb.txt

Imports astropy units, matplotlib for plotting, numpy for numerical operations, and the thomson module from plasmapy.diagnostics. This setup is required for all subsequent examples.

```python
%matplotlib inline

import astropy.units as u
import matplotlib.pyplot as plt
import numpy as np

from plasmapy.diagnostics import thomson
```

--------------------------------

### Getting Particle Name

Source: https://docs.plasmapy.org/en/stable/_sources/notebooks/diagnostics/charged_particle_radiography_particle_tracing_wire_mesh.ipynb.txt

Shows how to get the name of a particle.

```python
from plasmapy.particles import Particle

particle = Particle(element='He', atomic_number=2, charge_state=1)
name = particle.name
print(f"Particle name: {name}")
```

--------------------------------

### Build Documentation with Nox

Source: https://docs.plasmapy.org/en/stable/contributing/doc_guide.html

This command uses Nox to build the documentation. It installs an isolated virtual environment with uv and generates the HTML output in 'docs/_build/html/'. This is the recommended method for building documentation.

```bash
nox -s docs

```

--------------------------------

### Initialize ParticleTracker with Example Parameters

Source: https://docs.plasmapy.org/en/stable/_modules/plasmapy/simulation/particle_tracker/particle_tracker.html

Demonstrates initializing ParticleTracker with a CartesianGrid, termination condition, save routine, and specific field weighting. Ensure all necessary imports are present.

```python
from plasmapy.particles import Particle
from plasmapy.plasma.grids import CartesianGrid
from plasmapy.simulation.particle_tracker.particle_tracker import (
    ParticleTracker,
)
from plasmapy.simulation.particle_tracker.save_routines import (
    IntervalSaveRoutine,
)
from plasmapy.simulation.particle_tracker.termination_conditions import (
    TimeElapsedTerminationCondition,
)
import astropy.units as u
import numpy as np

example_particle = Particle("p+")
grid = CartesianGrid(-1e6 * u.m, 1e6 * u.m, num=2)
grid_shape = (2, 2, 2)
Bz = np.full(grid_shape, 1) * u.T
grid.add_quantities(B_z=Bz)
x = [[0, 0, 0]] * u.m
v = [[1, 0, 0]] * u.m / u.s
termination_condition = TimeElapsedTerminationCondition(6.28 * u.s)
save_routine = IntervalSaveRoutine(6.28 * u.s / 10)
simulation = ParticleTracker(
    grid,
    termination_condition,
    dt=1e-2 * u.s,
    save_routine=save_routine,
    field_weighting="nearest neighbor",
    verbose=False,
)
simulation.load_particles(x, v, example_particle)
simulation.run()
print(
    simulation.save_routine.results["time"][-1],
    simulation.save_routine.results["x"][-1],
)
```

--------------------------------

### Downloader module imports and setup

Source: https://docs.plasmapy.org/en/stable/_modules/plasmapy/utils/data/downloader.html

Initializes the downloader module with necessary imports and environment checks for CI integration.

```python
"""
Contains functionality for downloading files from a URL. Intended for
downloading files from |PlasmaPy's data repository|.
"""

import contextlib
import json
import os
import time
import warnings
from pathlib import Path
from urllib.parse import urljoin

import requests

__all__ = ["_API_CONNECTION_ESTABLISHED", "Downloader"]

_API_CONNECTION_ESTABLISHED = False
_IS_CI = "GH_TOKEN" in os.environ


# TODO: use a config file variable to allow users to set a location
```

--------------------------------

### Creating a Plasma Distribution

Source: https://docs.plasmapy.org/en/stable/_sources/notebooks/diagnostics/charged_particle_radiography_particle_tracing_wire_mesh.ipynb.txt

Example of creating a plasma distribution object.

```python
from plasmapy.classes import PlasmaDistribution

dist = PlasmaDistribution()
print(dist)
```

--------------------------------

### Importing Necessary Libraries

Source: https://docs.plasmapy.org/en/stable/_sources/notebooks/formulary/thermal_bremsstrahlung.ipynb.txt

Initializes the environment with required libraries for physical constants, units, plotting, and the thermal bremsstrahlung function.

```python
%matplotlib inline

import astropy.constants as const
import astropy.units as u
import matplotlib.pyplot as plt
import numpy as np

from plasmapy.formulary.radiation import thermal_bremsstrahlung
```

--------------------------------

### Initialize CustomParticle

Source: https://docs.plasmapy.org/en/stable/api/plasmapy.particles.particle_class.CustomParticle.html

Demonstrates creating custom particles using mass, charge, and charge number parameters.

```python
>>> import astropy.units as u
>>> from plasmapy.particles import CustomParticle
>>> custom_particle = CustomParticle(
...     mass=1.2e-26 * u.kg,
...     charge=9.2e-19 * u.C,
... )
>>> custom_particle.mass
<Quantity 1.2e-26 kg>
>>> custom_particle.charge
<Quantity 9.2e-19 C>
>>> average_particle = CustomParticle(
...     mass=1.5e-26 * u.kg,
...     Z=-1.5,
...     symbol="Ξ",
... )
>>> average_particle.mass
<Quantity 1.5e-26 kg>
>>> average_particle.charge
<Quantity -2.40326...e-19 C>
>>> average_particle.symbol
'Ξ'
```

--------------------------------

### Example of a type mismatch error

Source: https://docs.plasmapy.org/en/stable/contributing/coding_guide.html

An example function that triggers a mypy return-value error.

```python
def return_object(x: int | str) -> int:  # should be: -> int | str
    return x

```

```text
Incompatible return value type (got "int | str", expected "int")  [return-value]

```

--------------------------------

### Install PlasmaPy with Conda

Source: https://docs.plasmapy.org/en/stable/_sources/install.rst.txt

Install PlasmaPy from the conda-forge channel into an activated Conda environment.

```bash
conda install -c conda-forge plasmapy
```

--------------------------------

### Verify Git Installation

Source: https://docs.plasmapy.org/en/stable/_sources/contributing/getting_ready.rst.txt

Check if Git is installed on your system by running this command in your terminal.

```bash
git --version
```

--------------------------------

### Build documentation using Nox

Source: https://docs.plasmapy.org/en/stable/_sources/contributing/doc_guide.rst.txt

Build the documentation locally using Nox, which creates an isolated virtual environment.

```bash
nox -s docs
```

```bash
nox -s docs -- -v
```

--------------------------------

### Symbols Starting with X

Source: https://docs.plasmapy.org/en/stable/genindex.html

Documentation for symbols, functions, and classes in PlasmaPy starting with 'X'.

```APIDOC
## X

### `x` Attribute

- **Description**: Represents the x-coordinate or a related quantity.
- **Appears in**: `plasmapy.formulary.collisions.frequencies.SingleParticleCollisionFrequencies`, `plasmapy.plasma.sources.plasma3d.Plasma3D`
```

--------------------------------

### Initialize Environment for Magnetostatics

Source: https://docs.plasmapy.org/en/stable/_sources/notebooks/formulary/magnetostatics.ipynb.txt

Sets up the necessary imports and matplotlib configuration for plotting magnetostatic fields.

```python
%matplotlib inline

import astropy.units as u
import matplotlib.pyplot as plt
import numpy as np

from plasmapy.formulary import magnetostatics
from plasmapy.plasma.sources import Plasma3D

plt.rcParams["figure.figsize"] = [10.5, 10.5]
```

--------------------------------

### Symbols Starting with W

Source: https://docs.plasmapy.org/en/stable/genindex.html

Documentation for symbols, functions, and classes in PlasmaPy starting with 'W'.

```APIDOC
## W

### `w0_()`

- **Module**: `plasmapy.formulary`
- **Submodule**: `plasmapy.formulary.laser`

### `waiting_times` Attribute

- **Description**: Attribute related to waiting times in time series analysis.
- **Appears in**: `plasmapy.analysis.time_series.conditional_averaging.ConditionalEvents`

### `wavenumber` Attribute

- **Description**: Wavenumber of a wave.
- **Appears in**: `plasmapy.simulation.abstractions.AbstractNormalizations`

### `wc_()`

- **Module**: `plasmapy.formulary`
- **Submodule**: `plasmapy.formulary.frequencies`

### `Wigner_Seitz_radius()`

- **Module**: `plasmapy.formulary.quantum`

### `wikipedia` Role

- **Description**: Represents a role related to Wikipedia.

### `Wire` Class

- **Module**: `plasmapy.formulary.magnetostatics`

### `wlh_()`

- **Module**: `plasmapy.formulary`
- **Submodule**: `plasmapy.formulary.frequencies`

### `wp_()`

- **Module**: `plasmapy.formulary`
- **Submodule**: `plasmapy.formulary.frequencies`

### `wuh_()`

- **Module**: `plasmapy.formulary`
- **Submodule**: `plasmapy.formulary.frequencies`
```

--------------------------------

### Symbols Starting with V

Source: https://docs.plasmapy.org/en/stable/genindex.html

Documentation for symbols, functions, and classes in PlasmaPy starting with 'V'.

```APIDOC
## V

### `v_over_c` Attribute

- **Description**: Relativistic velocity as a fraction of the speed of light.
- **Appears in**: `plasmapy.formulary.relativity.RelativisticBody`

### `va_()`

- **Module**: `plasmapy.formulary`
- **Submodule**: `plasmapy.formulary.speeds`

### `valid_categories`

- **Module**: `plasmapy.particles.particle_class`

### `validate_class_attributes()`

- **Module**: `plasmapy.utils.decorators.validators`

### `validate_quantities()`

- **Module**: `plasmapy.utils.decorators.validators`

### `ValidateQuantities` Class

- **Module**: `plasmapy.utils.decorators.validators`

### `validation_functions` Attribute

- **Description**: Attribute related to validation functions.
- **Appears in**: `plasmapy.utils.datatype_factory_base.BasicRegistrationFactory`

### `ValidationFunctionError`

- **Type**: Exception

### `validations` Attribute

- **Description**: Attribute related to validations.
- **Appears in**: `plasmapy.utils.decorators.validators.ValidateQuantities`

### `variance` Attribute

- **Description**: Variance calculation.
- **Appears in**: `plasmapy.analysis.time_series.conditional_averaging.ConditionalEvents`

### `vd_()`

- **Module**: `plasmapy.formulary`
- **Submodule**: `plasmapy.formulary.drifts`

### `veb_()`

- **Module**: `plasmapy.formulary`
- **Submodule**: `plasmapy.formulary.drifts`

### `vector_intersects()` Method

- **Description**: Method to check if a vector intersects with a grid.
- **Appears in**: `plasmapy.plasma.grids.AbstractGrid`, `plasmapy.plasma.grids.CartesianGrid`, `plasmapy.plasma.grids.NonUniformCartesianGrid`

### `velocity` Attribute

- **Description**: Velocity of a relativistic body or plasma component.
- **Appears in**: `plasmapy.formulary.relativity.RelativisticBody`, `plasmapy.plasma.sources.plasma3d.Plasma3D`, `plasmapy.simulation.abstractions.AbstractNormalizations`

### `vf_err` Attribute

- **Description**: Error related to VF (Velocity Field).
- **Appears in**: `plasmapy.analysis.swept_langmuir.floating_potential.VFExtras`

### `vfd_()`

- **Module**: `plasmapy.formulary`
- **Submodule**: `plasmapy.formulary.drifts`

### `VFExtras` Class

- **Module**: `plasmapy.analysis.swept_langmuir.floating_potential`

### `vmax` Attribute

- **Description**: Maximum velocity.
- **Appears in**: `plasmapy.diagnostics.charged_particle_radiography.synthetic_radiography.Tracker`, `plasmapy.simulation.particle_tracker.particle_tracker.ParticleTracker`

### `volume_averaged_interpolator()` Method

- **Description**: Method to create a volume-averaged interpolator.
- **Appears in**: `plasmapy.plasma.grids.CartesianGrid`

### `volumetric_heating_rate` Attribute

- **Description**: Rate of volumetric heating.
- **Appears in**: `plasmapy.simulation.abstractions.AbstractNormalizations`

### `volumetric_rate` Attribute

- **Description**: General volumetric rate.
- **Appears in**: `plasmapy.simulation.abstractions.AbstractNormalizations`

### `vth_()`

- **Module**: `plasmapy.formulary`
- **Submodule**: `plasmapy.formulary.speeds`

### `vth_kappa_()`

- **Module**: `plasmapy.formulary`
- **Submodule**: `plasmapy.formulary.speeds`
```

--------------------------------

### Initialize Stack and Inspect Properties

Source: https://docs.plasmapy.org/en/stable/notebooks/diagnostics/charged_particle_radiography_film_stacks.html

Create a stack of layers and retrieve basic properties like layer count and total thickness.

```python
    Layer(100 * u.um, energy_axis, aluminum_stopping_power, active=False),
    *HDV2,
    Layer(100 * u.um, energy_axis, aluminum_stopping_power, active=False),
    *HDV2,
    Layer(100 * u.um, energy_axis, aluminum_stopping_power, active=False),
    *HDV2,
    Layer(100 * u.um, energy_axis, aluminum_stopping_power, active=False),
    *HDV2,
    Layer(500 * u.um, energy_axis, aluminum_stopping_power, active=False),
    *HDV2,
    Layer(500 * u.um, energy_axis, aluminum_stopping_power, active=False),
    *HDV2,
    Layer(1000 * u.um, energy_axis, aluminum_stopping_power, active=False),
    *HDV2,
    Layer(1000 * u.um, energy_axis, aluminum_stopping_power, active=False),
    *HDV2,
    Layer(2000 * u.um, energy_axis, aluminum_stopping_power, active=False),
    *HDV2,
    Layer(2000 * u.um, energy_axis, aluminum_stopping_power, active=False),
    *HDV2,
    Layer(2000 * u.um, energy_axis, aluminum_stopping_power, active=False),
]

stack = Stack(layers)
```

```python
print(f"Number of layers: {stack.num_layers}")
print(f"Number of active layers: {stack.num_active}")
print(f"Total stack thickness: {stack.thickness:.2f}")
```

--------------------------------

### Symbols Starting with U

Source: https://docs.plasmapy.org/en/stable/genindex.html

Documentation for symbols, functions, and classes in PlasmaPy starting with 'U'.

```APIDOC
## U

### `ub_()`

- **Module**: `plasmapy.formulary`
- **Submodule**: `plasmapy.formulary.misc`

### `UnexpectedParticleError`

- **Type**: Exception

### `uniform_null_point_find()`

- **Module**: `plasmapy.analysis.nullpoint`

### `unit` Attribute

- **Description**: An attribute related to units.
- **Appears in**: `plasmapy.plasma.grids.AbstractGrid`, `plasmapy.plasma.grids.CartesianGrid`, `plasmapy.plasma.grids.NonUniformCartesianGrid`

### `unit0` Attribute

- **Description**: An attribute related to units.
- **Appears in**: `plasmapy.plasma.grids.AbstractGrid`, `plasmapy.plasma.grids.CartesianGrid`, `plasmapy.plasma.grids.NonUniformCartesianGrid`

### `unit1` Attribute

- **Description**: An attribute related to units.
- **Appears in**: `plasmapy.plasma.grids.AbstractGrid`, `plasmapy.plasma.grids.CartesianGrid`, `plasmapy.plasma.grids.NonUniformCartesianGrid`

### `unit2` Attribute

- **Description**: An attribute related to units.
- **Appears in**: `plasmapy.plasma.grids.AbstractGrid`, `plasmapy.plasma.grids.CartesianGrid`, `plasmapy.plasma.grids.NonUniformCartesianGrid`

### `units` Attribute

- **Description**: An attribute related to units.
- **Appears in**: `plasmapy.plasma.grids.AbstractGrid`, `plasmapy.plasma.grids.CartesianGrid`, `plasmapy.plasma.grids.NonUniformCartesianGrid`

### `units_string` Attribute

- **Description**: An attribute related to unit strings.
- **Appears in**: `plasmapy.simulation.particle_tracker.termination_conditions.AbstractTerminationCondition`, `plasmapy.simulation.particle_tracker.termination_conditions.AllParticlesOffGridTerminationCondition`, `plasmapy.simulation.particle_tracker.termination_conditions.NoParticlesOnGridsTerminationCondition`, `plasmapy.simulation.particle_tracker.termination_conditions.TimeElapsedTerminationCondition`

### `unregister()` Method

- **Description**: Method for unregistering.
- **Appears in**: `plasmapy.plasma.plasma_factory.PlasmaFactory`, `plasmapy.utils.datatype_factory_base.BasicRegistrationFactory`

### `upper_hybrid_frequency()`

- **Module**: `plasmapy.formulary.frequencies`

### `user` Role

- **Description**: Represents a user role.
```

--------------------------------

### Enter Repository Directory

Source: https://docs.plasmapy.org/en/stable/contributing/getting_ready.html

Navigate into the cloned PlasmaPy directory.

```bash
cd PlasmaPy
```

--------------------------------

### Numpydoc Example Function

Source: https://docs.plasmapy.org/en/stable/contributing/doc_guide.html

An example of a function with a numpydoc formatted docstring, including parameters, returns, raises, warns, see also, notes, and examples sections. This format is used for documenting Python functions.

```python
import warnings

import numpy as np


def subtract(a, b, *, switch_order=False):
    r"""
    Compute the difference between two integers.

    Add ∼1–3 sentences here for an extended summary of what the function
    does. This extended summary is a good place to briefly define the
    quantity that is being returned.

    .. math::

        f(a, b) = a - b

    Parameters
    ----------
    a : `float`
        The number from which ``b`` will be subtracted.

    b : `float`
        The number being subtracted from ``a``.

    switch_order : `bool`, |keyword-only|, default: `True`
        If `True`, return :math:`a - b`. If `False`, then return
        :math:`b - a`.

    Returns
    -------
    float
        The difference between ``a`` and ``b``.

    Raises
    ------
    `ValueError`
        If ``a`` or ``b`` is `~numpy.inf`.

    Warns
    -----
    `UserWarning`
        If ``a`` or ``b`` is `~numpy.nan`.

    See Also
    --------
    add : Add two numbers.

    Notes
    -----
    The "Notes" section provides extra information that cannot fit in the
    extended summary near the beginning of the docstring. This section
    should include a discussion of the physics behind a particular concept
    that should be understandable to someone who is taking their first
    plasma physics class. This section can include a derivation of the
    quantity being calculated or a description of a particular algorithm.

    Examples
    --------
    Include a few example usages of the function here. Start with simple
    examples and then increase complexity when necessary.

    >>> from package.subpackage.module import subtract
    >>> subtract(9, 6)
    3

    Here is an example of a multi-line function call.

    >>> subtract(
    ...     9, 6, switch_order=True,
    ... )
    -3

    PlasmaPy's test suite will check that these commands provide the output
    that follows each function call.
    """
    if np.isinf(a) or np.isinf(b):
        raise ValueError("Cannot perform subtraction operations involving infinity.")

    warnings.warn("The `subtract` function encountered a nan value.", UserWarning)

    return b - a if switch_order else a - b

```

--------------------------------

### Initialize and use AlfvenWave

Source: https://docs.plasmapy.org/en/stable/_modules/plasmapy/dispersion/analytical/mhd_waves_.html

Demonstrates how to instantiate the AlfvenWave class and calculate wave properties like angular frequency and phase velocity.

```python
>>> import astropy.units as u
>>> from plasmapy.dispersion.analytical import AlfvenWave
>>> alfven = AlfvenWave(1e-3 * u.T, 1e16 * u.m**-3, "p+")
>>> alfven.angular_frequency(1e-5 * u.rad / u.m, 0 * u.deg)
<Quantity 2.18060973 rad / s>
>>> alfven.phase_velocity(1e-5 * u.rad / u.m, 0 * u.deg)
<Quantity 218060.97295233 m / s>
>>> alfven.alfven_speed
<Quantity 218060.97295233 m / s>
```

--------------------------------

### PlasmaPy Installation

Source: https://docs.plasmapy.org/en/stable/_sources/notebooks/diagnostics/charged_particle_radiography_particle_tracing_wire_mesh.ipynb.txt

Instructions for installing PlasmaPy using pip. Ensure you have a compatible Python version.

```bash
pip install plasmapy
```

--------------------------------

### PlasmaPy Plotting Example (Conceptual)

Source: https://docs.plasmapy.org/en/stable/_sources/notebooks/diagnostics/charged_particle_radiography_particle_tracing_wire_mesh.ipynb.txt

Illustrative example of how plotting might be integrated, likely using Matplotlib.

```python
import matplotlib.pyplot as plt
import numpy as np

x = np.linspace(0, 10, 100)
y = np.sin(x)

plt.figure()
plt.plot(x, y)
plt.xlabel("X-axis")
plt.ylabel("Y-axis")
plt.title("Sample Plot")
plt.grid(True)
plt.show()
```

--------------------------------

### Initialize DimensionlessParticle

Source: https://docs.plasmapy.org/en/stable/_modules/plasmapy/particles/particle_class.html

Example of creating a dimensionless particle instance with mass, charge, and symbol.

```python
>>> from plasmapy.particles import DimensionlessParticle
>>> particle = DimensionlessParticle(mass=1.0, charge=-1.0, symbol="ξ")
>>> particle.mass
np.float64(1.0)
>>> particle.charge
np.float64(-1.0)
>>> particle.symbol
'ξ'
```

--------------------------------

### Mixed Particle List Example

Source: https://docs.plasmapy.org/en/stable/_sources/glossary.rst.txt

An example of a list containing both atom-like and non-atom-like particles, which is not considered atom-like.

```python
["He-4", "e-"]
```

--------------------------------

### Initialize Environment for Fit Functions

Source: https://docs.plasmapy.org/en/stable/notebooks/analysis/fit_functions.html

Set up the plotting environment and import the necessary fit function modules.

```python
%matplotlib inline

import matplotlib.pyplot as plt
import numpy as np

from plasmapy.analysis import fit_functions as ffuncs

plt.rcParams["figure.figsize"] = [10.5, 0.56 * 10.5]
```

--------------------------------

### Create and Print InfiniteStraightWire

Source: https://docs.plasmapy.org/en/stable/_sources/notebooks/formulary/magnetostatics.ipynb.txt

Initializes an InfiniteStraightWire object with specified parameters and prints its representation.

```python
iw = magnetostatics.InfiniteStraightWire(
    np.array([0, 1, 0]), np.array([0, 0, 0]) * u.m, 1 * u.A
)
print(iw)
```

--------------------------------

### Initialize Null Point Finder Environment

Source: https://docs.plasmapy.org/en/stable/_sources/notebooks/analysis/nullpoint.ipynb.txt

Sets up the plotting environment and imports necessary modules for null point analysis.

```python
%matplotlib inline

import matplotlib.pyplot as plt
import numpy as np

from plasmapy.analysis import nullpoint

plt.rcParams["figure.figsize"] = [10.5, 0.56 * 10.5]
```

--------------------------------

### Non-Atom-Like Particle Examples

Source: https://docs.plasmapy.org/en/stable/_sources/glossary.rst.txt

Examples of particle representations that are considered particle-like but not atom-like. These include neutral particles and antiparticles.

```python
"neutron"
```

```python
"e-"
```

```python
["e-", "e+"]
```

--------------------------------

### POST /synthetic_radiography/init

Source: https://docs.plasmapy.org/en/stable/_modules/plasmapy/diagnostics/charged_particle_radiography/synthetic_radiography.html

Initializes the Synthetic Radiography simulation environment with grid, source, and detector configurations.

```APIDOC
## POST /synthetic_radiography/init

### Description
Initializes the synthetic radiography simulation, defining the particle source, detector geometry, and simulation parameters.

### Parameters
#### Request Body
- **grids** (AbstractGrid | Iterable[AbstractGrid]) - Required - The grid(s) used for the simulation.
- **source** (u.Quantity) - Required - Vector pointing to the particle source (Cartesian, cylindrical, or spherical).
- **detector** (u.Quantity) - Required - Vector pointing to the center of the detector plane.
- **dt** (u.Quantity) - Optional - Explicit time step in seconds.
- **dt_range** (tuple) - Optional - Range for adaptive time step clamping.
- **field_weighting** (str) - Optional - Algorithm for field assignment ('volume averaged' or 'nearest neighbor').
- **detector_hdir** (numpy.ndarray) - Optional - Horizontal unit vector for the detector plane.
- **detector_vdir** (numpy.ndarray) - Optional - Vertical unit vector for the detector plane.
- **output_directory** (pathlib.Path) - Optional - Directory for saving output files.
- **output_basename** (str) - Optional - Base name for output files.
- **fraction_exited_threshold** (float) - Optional - Fraction of particles exiting the grid to terminate simulation.
- **verbose** (bool) - Optional - Enable standard output logging.
```

--------------------------------

### Particle Representation Examples

Source: https://docs.plasmapy.org/en/stable/_sources/glossary.rst.txt

Examples of how particles can be represented as strings or integers. These representations are used to instantiate Particle objects.

```python
"p+"
```

```python
"He-4"
```

```python
"deuterium"
```

```python
"O 0+"
```

```python
Particle("Fe-56 16+)"
```

```python
["He-4 1+", "He-4 2+"]
```

```python
26
```

--------------------------------

### Install and manage PlasmaPy with Conda

Source: https://docs.plasmapy.org/en/stable/install.html

Commands for installing, creating environments, and updating PlasmaPy using the conda-forge channel.

```bash
conda install -c conda-forge plasmapy
```

```bash
conda create -n env_name -c conda-forge plasmapy
```

```bash
conda activate env_name
```

```bash
conda update plasmapy
```

--------------------------------

### Initialize Downloader Class

Source: https://docs.plasmapy.org/en/stable/_modules/plasmapy/utils/data/downloader.html

Initializes the Downloader class, setting up the download directory, validation preferences, and API token. It also handles the creation or reading of the local SHA blob file.

```python
def __init__(
    self,
    directory: Path | None = None,
    validate: bool = True,
    api_token: str | None = None,
) -> None:
    if directory is None:
        # No test coverage for default directory, since pytest always
        # saves into a temporary directory
        self._download_directory =
            (
                Path.home() / ".plasmapy" / "downloads"
            )  # coverage: ignore
    else:
        self._download_directory = Path(directory)

    # If currently operating in a CI environment and no token was specified,
    # take the token from the CI environment variables
    if _IS_CI and api_token is None:
        api_token = api_token if api_token is not None else os.getenv("GH_TOKEN")

    self._validate = validate
    self._api_token = api_token

    # Flag to record whether the blob file has been updated from the repo
    # by this instantiation of the class. Once the file has been updated
    # once, we won't update it again to limit API calls.
    self._updated_blob_file_from_repo = False

    self._download_directory.mkdir(parents=True, exist_ok=True)

    # Path to the local SHA blob file
    self._blob_file = Path(self._download_directory, self._blob_file_name)

    # Create the SHA blob file if it doesn't already exist
    if not self._blob_file.is_file():
        self._blob_dict = {}
        self._write_blobfile()
    # Otherwise, read the SHA blob file
    else:
        self._read_blobfile()
```

--------------------------------

### Install PlasmaPy with pip

Source: https://docs.plasmapy.org/en/stable/install.html

Use these commands to install the latest PlasmaPy release from PyPI into a Python 3.12+ environment.

```bash
python -m pip install plasmapy
```

```bash
py -3.14 -m pip install plasmapy
```

--------------------------------

### Install PlasmaPy test dependencies

Source: https://docs.plasmapy.org/en/stable/_sources/contributing/testing_guide.rst.txt

Installs the necessary packages for running tests locally, including Nox and pytest.

```bash
pip install -e .[tests]
```

--------------------------------

### Import necessary libraries

Source: https://docs.plasmapy.org/en/stable/_sources/notebooks/formulary/ExB_drift.ipynb.txt

Initializes the environment with required scientific computing and PlasmaPy modules.

```python
%matplotlib inline

import math

import astropy.units as u
import matplotlib.pyplot as plt
import numpy as np

from plasmapy import formulary, particles
```