| Name | pyculus JSON |
| Version |
0.0.7
JSON |
| download |
| home_page | None |
| Summary | a collection of calculus-related functions |
| upload_time | 2025-02-19 20:03:09 |
| maintainer | None |
| docs_url | None |
| author | None |
| requires_python | >=3.7 |
| license | None |
| keywords |
|
| VCS |
|
| bugtrack_url |
|
| requirements |
No requirements were recorded.
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No Travis.
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# **pyculus - A Python Library for Calculus Operations**
## **📌 Overview**
pyculus is a Python library that provides **calculus-related functions** including:
- **Simplification of expressions**
- **Domain determination**
- **Derivative calculations**
- **Finding critical points**
- **Table of variations**
- **Increasing and decreasing intervals**
- **Graph plotting**
This library is built using **SymPy, NumPy, and Matplotlib**, making it useful for both **symbolic mathematics** and **visualization**.
---
## **🚀 Installation**
You can install pyculus using pip:
```sh
pip install pyculus
```
---
## **🔹 Usage**
### **1️⃣ Import the Library**
```python
import pyculus as fn
```
### **2️⃣ Define a Function**
```python
f = x**4 - 2*x**2
```
### **3️⃣ Simplify the Function**
```python
simplified = fn.symplify(f)
print(simplified)
```
### **4️⃣ Find the Domain**
```python
d = fn.domain(f)
print("Domain:", d)
```
### **5️⃣ Compute the Derivative**
```python
derivative = fn.derivative(f)
print("Derivative:", derivative)
```
### **6️⃣ Find Critical Points**
```python
critical_pts = fn.critical_points(f)
print("Critical Points:", critical_pts)
```
### **7️⃣ Generate the Table of Variations**
```python
table = fn.table(f)
print("Table of Variations:", table)
```
### **8️⃣ Find Extreme Points**
```python
extreme_pts = fn.extreme(f)
print("Extreme Points:", extreme_pts)
```
### **9️⃣ Identify Increasing and Decreasing Intervals**
```python
increasing_intervals = fn.increasing(f)
decreasing_intervals = fn.decreasing(f)
print("Increasing Intervals:", increasing_intervals)
print("Decreasing Intervals:", decreasing_intervals)
```
### **🔟 Plot the Function**
fn.graph(f)
```
---
## **📌 Features**
- **Symbolic Computation:** Uses SymPy for mathematical operations.
- **Automatic Domain Calculation:** Handles function continuity.
- **Calculus Tools:** Finds derivatives, critical points, and variation tables.
- **Graphing Support:** Uses Matplotlib for visualizing functions.
- **Numerical Handling:** Leverages NumPy for better numerical processing.
- **As of now, the library is not able to take into account discontinuities in the calculations of the increasing and decreasing intervals - but this will not cause an error in the graph.
---
## **🛠 Dependencies**
Function requires the following libraries:
- `sympy`
- `numpy`
- `matplotlib`
These will be installed automatically with `pip install function`.
---
## **📄 License**
This project is licensed under the **GNU General Public License v3.0 (GPL-3.0)**. See the [LICENSE](LICENSE) file for details.
---
## **📞 Contact**
For any questions, bug reports, or feature requests, send an email:
pythonfunctionslibrery@gmail.com
Happy coding! 🚀
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"description": "# **pyculus - A Python Library for Calculus Operations**\n\n## **\ud83d\udccc Overview**\npyculus is a Python library that provides **calculus-related functions** including:\n- **Simplification of expressions**\n- **Domain determination**\n- **Derivative calculations**\n- **Finding critical points**\n- **Table of variations**\n- **Increasing and decreasing intervals**\n- **Graph plotting**\n\nThis library is built using **SymPy, NumPy, and Matplotlib**, making it useful for both **symbolic mathematics** and **visualization**.\n\n---\n\n## **\ud83d\ude80 Installation**\nYou can install pyculus using pip:\n```sh\npip install pyculus\n```\n\n---\n\n## **\ud83d\udd39 Usage**\n### **1\ufe0f\u20e3 Import the Library**\n```python\nimport pyculus as fn\n```\n\n### **2\ufe0f\u20e3 Define a Function**\n```python\nf = x**4 - 2*x**2\n```\n\n### **3\ufe0f\u20e3 Simplify the Function**\n```python\nsimplified = fn.symplify(f)\nprint(simplified)\n```\n\n### **4\ufe0f\u20e3 Find the Domain**\n```python\nd = fn.domain(f)\nprint(\"Domain:\", d)\n```\n\n### **5\ufe0f\u20e3 Compute the Derivative**\n```python\nderivative = fn.derivative(f)\nprint(\"Derivative:\", derivative)\n```\n\n### **6\ufe0f\u20e3 Find Critical Points**\n```python\ncritical_pts = fn.critical_points(f)\nprint(\"Critical Points:\", critical_pts)\n```\n\n### **7\ufe0f\u20e3 Generate the Table of Variations**\n```python\ntable = fn.table(f)\nprint(\"Table of Variations:\", table)\n```\n\n### **8\ufe0f\u20e3 Find Extreme Points**\n```python\nextreme_pts = fn.extreme(f)\nprint(\"Extreme Points:\", extreme_pts)\n```\n\n### **9\ufe0f\u20e3 Identify Increasing and Decreasing Intervals**\n```python\nincreasing_intervals = fn.increasing(f)\ndecreasing_intervals = fn.decreasing(f)\nprint(\"Increasing Intervals:\", increasing_intervals)\nprint(\"Decreasing Intervals:\", decreasing_intervals)\n```\n\n### **\ud83d\udd1f Plot the Function**\nfn.graph(f)\n```\n\n---\n\n## **\ud83d\udccc Features**\n- **Symbolic Computation:** Uses SymPy for mathematical operations.\n- **Automatic Domain Calculation:** Handles function continuity.\n- **Calculus Tools:** Finds derivatives, critical points, and variation tables.\n- **Graphing Support:** Uses Matplotlib for visualizing functions.\n- **Numerical Handling:** Leverages NumPy for better numerical processing.\n- **As of now, the library is not able to take into account discontinuities in the calculations of the increasing and decreasing intervals - but this will not cause an error in the graph.\n\n---\n\n## **\ud83d\udee0 Dependencies**\nFunction requires the following libraries:\n- `sympy`\n- `numpy`\n- `matplotlib`\n\nThese will be installed automatically with `pip install function`.\n\n---\n\n## **\ud83d\udcc4 License**\nThis project is licensed under the **GNU General Public License v3.0 (GPL-3.0)**. See the [LICENSE](LICENSE) file for details.\n\n---\n\n## **\ud83d\udcde Contact**\nFor any questions, bug reports, or feature requests, send an email:\npythonfunctionslibrery@gmail.com\n\nHappy coding! \ud83d\ude80\n\n",
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