cfaphy1

import sympy as sp

# Define symbolic variables
λ, i, m, c, r = sp.symbols('λ i m c r')

# Define all the expressions
E_undefined1 = sp.symbols('E_undefined1')  # Placeholder for undefined expression
E_energy1 = (-1)*((λ**i)*m*c)**2  # E = (-1)((λ^i)mc)²
E_inequality1 = (λ**i)*m*c  # E ≠ ((λ^i)mc)²
E_energy2 = ((λ**i)*m*c)**2  # E = ((λ^i)mc)²
E_inequality2 = (i*m*c)**2  # E ≠ (imc)²
E_energy3 = (-1)*i*m*c**2  # E = (-1)imc²
E_inequality3 = m*(λ**i)*c**2  # E ≠ m(λ^i)c²
E_energy4 = (m*c/(2*sp.pi*r))**2  # E = (mc/2πr)²
E_energy5 = m*c**2/(2*sp.pi*r**2)  # E = mc²/2πr²
E_inequality4 = c*i*m**2  # E ≠ cim²
E_inequality5 = c**2*m*i**2  # E ≠ c²mi²
E_energy6 = m*c**2  # E = mc²
E_energy7 = (-1)*(λ**i)  # E = (-1)(λ^i)
E_inequality6 = (λ**i)**2  # E ≠ (λ^i)²
E_energy8 = (λ**i)**2  # E = (λ^i)²

# Define the call function to check expressions
def call_program():
    results = {}
    
    # Check if E_undefined1 is undefined (Placeholder for handling undefined expressions)
    results['E_undefined1'] = "Undefined Expression"

    # Evaluate energy expressions
    results['E_energy1'] = f"E = {E_energy1.simplify()}"
    results['E_energy2'] = f"E = {E_energy2.simplify()}"
    results['E_energy3'] = f"E = {E_energy3.simplify()}"
    results['E_energy4'] = f"E = {E_energy4.simplify()}"
    results['E_energy5'] = f"E = {E_energy5.simplify()}"
    results['E_energy6'] = f"E = {E_energy6.simplify()}"
    results['E_energy7'] = f"E = {E_energy7.simplify()}"
    results['E_energy8'] = f"E = {E_energy8.simplify()}"

    # Check inequalities (Using symbolic comparison)
    results['E_inequality1'] = E_inequality1 != E_energy2
    results['E_inequality2'] = E_inequality2 != E_energy3
    results['E_inequality3'] = E_inequality3 != E_energy3
    results['E_inequality4'] = E_inequality4 != E_energy5
    results['E_inequality5'] = E_inequality5 != E_energy6
    results['E_inequality6'] = E_inequality6 != E_energy8

    # Output results
    for key, value in results.items():
        print(f"{key}: {value}")

# Call the function to run the program
call_program()