How to Specify A Non-Negative Real Number In Sympy?

To specify a non-negative real number in sympy, you can use the sympy.symbols function to define a symbol and then impose the condition that it is non-negative using the sympy.sympy.functions.elementary.integers function. For example, you can create a non-negative real number symbol x as follows:

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import sympy

x = sympy.symbols('x', real=True, positive=True)

In this code snippet, the real=True argument specifies that x is a real number, and the positive=True argument imposes the condition that x must be non-negative. You can now use the symbol x in your sympy expressions and calculations as a non-negative real number.

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How to use non-negative real numbers in sympy equations?

To use non-negative real numbers in SymPy equations, you can define symbols with the assumption of being non-negative using the symbols function and Assume class. Here is an example:

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from sympy import symbols, Eq
from sympy.assumptions.assume import Assume
from sympy.assumptions.assume import global_assumptions

# Define non-negative real numbers
x = symbols('x', real=True, nonnegative=True)
y = symbols('y', real=True, nonnegative=True)

# Create an equation using the defined symbols
eq = Eq(x + y, 10)

# Print the equation
print(eq)

In this example, we have defined two symbols x and y with the assumptions of being real and non-negative. Then we have created an equation x + y = 10 using these symbols. The global assumptions are imported and used in the code to ensure that the symbols are treated as non-negative real numbers in the equation.

How to express a non-negative real value in sympy?

To express a non-negative real value in Sympy, you can use the Symbol class with the constraints positive=True and real=True. Here is an example:

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from sympy import Symbol

x = Symbol('x', positive=True, real=True)

This will create a symbol x that represents a non-negative real value. You can then use this symbol in mathematical expressions in Sympy.

How to assign a non-negative real number to a variable in sympy?

You can assign a non-negative real number to a variable in SymPy by using the sympy.Rational or sympy.Float functions.

For example, to assign the value 3.14 to a variable x, you can do:

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import sympy as sp

x = sp.Float(3.14)

Or if you want to assign a non-negative rational number (like 3/4), you can do:

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x = sp.Rational(3, 4)

This will ensure that the variable x is treated as a non-negative real number in SymPy calculations.