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SymPy is a Python library for symbolic mathematics that enables exact computation using mathematical symbols rather than numerical approximations.
Passed 21 of 22 test cases with the skill, and 18 of 22 without it.
3 fixed18 passed either way1 still failing0 broke
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One of 3 test cases the skill fixed. Same model, same prompt, with and without the skill.
Write Python code to generate the Taylor series expansion of $\exp(x)$ around $x=0$ up to the 6th order, including the order term.
| Checked | Without skill | With skill |
|---|---|---|
| calls series(exp(x), x, 0, 6) | Missed | Passed |
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SymPy is a Python library for symbolic mathematics that enables exact computation using mathematical symbols rather than numerical approximations. This skill provides comprehensive guidance for performing symbolic algebra, calculus, linear algebra, equation solving, physics calculations, and code generation using SymPy.
Use this skill when:
sqrt(2) not 1.414...)Creating symbols and expressions:
from sympy import symbols, Symbol
x, y, z = symbols('x y z')
expr = x**2 + 2*x + 1
# With assumptions
x = symbols('x', real=True, positive=True)
n = symbols('n', integer=True)
Simplification and manipulation:
from sympy import simplify, expand, factor, cancel
simplify(sin(x)**2 + cos(x)**2) # Returns 1
expand((x + 1)**3) # x**3 + 3*x**2 + 3*x + 1
test cases passed, vs 18 / 22 without
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