> ∆y(P, H,L, E, I) := H * L^4 * P / (384 * E * I)
```python
Δy = lambda P, H, L, E, I: H * L**4 * P / (384 * E * I)
Δy
```
<function __main__.<lambda>(P, H, L, E, I)>
Is there a good way to redefine the '^' operator for {int, float, Decimal, Fraction, numbers.Number}? Why would it be dangerous to monkey-patch global types this way? Could a context manager redefine `float.__xor__ = float.__pow_` for just that scope? Why or why not?
As far as syntactical preferences, LaTeX may be considered to be the canonical non-executable syntax for mathematical expressions and equations.
SymPy can parse LaTeX into symbolic expressions.
Jupyter can render LaTeX embedded in Markdown.
SymPy displays expressions as LaTeX in Jupyter notebooks.
```python
from sympy import symbols
P, H, L, E, I = symbols('P, H, L, E, I')
Δy = H * L**4 * P / (384 * E * I)
Δy
```
$\frac{H L^{4} P}{384 E I}$
```python
import sympy
sympy.sympify("H*L^4*P/(384*E_*I_)")
```
$\frac{H L^{4} P}{384 E_{} I_{}}$
> Treats XOR, ^, as exponentiation, **.
```python
from sympy.parsing.sympy_parser import parse_expr, standard_transformations,\ convert_xor
trx = (standard_transformations +
(convert_xor,))
parse_expr("H*L^4*P/(384*E_*I_)", transformations=trx)
```
$\frac{H L^{4} P}{384 E_{} I_{}}$
> LaTeX Parsing Caveats
> The current implementation is experimental. The behavior, parser backend and API might change in the future. Unlike some of the other parsers, LATEX is designed as a type-setting language, not a computer algebra system and so can contain typographical conventions that might be interpreted multiple ways
```python
from sympy.parsing.latex import parse_latex
#parse_latex(r'\frac{H L^{4} P}{384 E_{} I_{}}')
parse_latex(r'\frac{H L^{4} P}{384 E I}')
```
$\displaystyle \frac{H L^{4} P}{384 E I}$
SageMath defines ^ as operator.pow. CoCalc supports Sage notebooks as well as Jupyter notebooks which import a CAS like SymPy, SymEngine, Diofant, SageMath.