SymPy
Python library for symbolic computations, enabling advanced mathematical operations like calculus, algebra and equation solving
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| + | Symbolic Expressions | Allows you to work with mathematical expressions symbolically, representing variables, constants, and functions |
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| + | Equation Solving | Solve algebraic equations, systems of equations, and inequalities |
| + | Calculus | Compute derivatives, integrals, limits, and Taylor series expansions |
| + | Matrix Manipulation | Perform matrix operations, including inversion, eigenvalues, and determinants |
| + | Simplification | Simplify complex expressions |
| + | Trigonometry | Evaluate trigonometric functions and simplify trigonometric expressions |
| + | Polynomials | Create, factor, and manipulate polynomial expressions |
| + | Series Expansion | Expand functions into power series |
| + | Differential Equations | Solve ordinary differential equations (ODEs) |
| + | Numeric Evaluation | Convert symbolic expressions to numerical values |
| + | Plotting | Generate 2D and 3D plots of functions |
| + | Custom Functions | Define your own mathematical functions |
| + | LaTeX Output | Generate LaTeX code for mathematical expressions |
| + | Combinatorics | Provides functions for working with permutations, combinations, and other combinatorial concepts |
| + | Geometry | Perform geometric calculations and construct geometric objects |
| + | Statistics | Compute mean, variance, and other statistical measures |
| + | Physics | Perform calculations for physics relating to Units, Mechanics, Quantum, Gaussian Optics, and Pauli Algebra |
| + | Cryptography | Supports cryptographic computations |
| + | Parsing and Printing | Supports conversion between SymPy objects and Python objects, pretty printing, etc. |
| - | Performance | While powerful, its symbolic computations can be slower than specialized computer algebra systems due to its Python-based implementation |
| - | Limited Numeric Precision | Primarily focuses on symbolic mathematics, so its numeric evaluation may not match the precision of dedicated numerical libraries. |
| - | Learning Curve | For beginners, understanding the intricacies and features may require some effort. Some users find the syntax and expression handling less intuitive than commercial alternatives. |
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