added sumset.py Fixes: #{6563} (#6742)

* Create sumset.py

* updating DIRECTORY.md

* [pre-commit.ci] auto fixes from pre-commit.com hooks

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* Add descriptive var names

* Update maths/sumset.py

Co-authored-by: Caeden <caedenperelliharris@gmail.com>

* Update sumset.py

* updating DIRECTORY.md

Co-authored-by: github-actions <${GITHUB_ACTOR}@users.noreply.github.com>
Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>
Co-authored-by: Caeden <caedenperelliharris@gmail.com>
Co-authored-by: Christian Clauss <cclauss@me.com>

DIRECTORY.md

@@ -560,6 +560,7 @@
   * [Lucas Lehmer Primality Test](maths/lucas_lehmer_primality_test.py)
   * [Lucas Series](maths/lucas_series.py)
   * [Maclaurin Series](maths/maclaurin_series.py)
+  * [Manhattan Distance](maths/manhattan_distance.py)
   * [Matrix Exponentiation](maths/matrix_exponentiation.py)
   * [Max Sum Sliding Window](maths/max_sum_sliding_window.py)
   * [Median Of Two Arrays](maths/median_of_two_arrays.py)
@@ -616,6 +617,7 @@
   * [Sum Of Digits](maths/sum_of_digits.py)
   * [Sum Of Geometric Progression](maths/sum_of_geometric_progression.py)
   * [Sum Of Harmonic Series](maths/sum_of_harmonic_series.py)
+  * [Sumset](maths/sumset.py)
   * [Sylvester Sequence](maths/sylvester_sequence.py)
   * [Test Prime Check](maths/test_prime_check.py)
   * [Trapezoidal Rule](maths/trapezoidal_rule.py)
@@ -683,6 +685,7 @@
   * [Casimir Effect](physics/casimir_effect.py)
   * [Centripetal Force](physics/centripetal_force.py)
   * [Horizontal Projectile Motion](physics/horizontal_projectile_motion.py)
+  * [Ideal Gas Law](physics/ideal_gas_law.py)
   * [Kinetic Energy](physics/kinetic_energy.py)
   * [Lorentz Transformation Four Vector](physics/lorentz_transformation_four_vector.py)
   * [Malus Law](physics/malus_law.py)
@@ -690,6 +693,7 @@
   * [Newtons Law Of Gravitation](physics/newtons_law_of_gravitation.py)
   * [Newtons Second Law Of Motion](physics/newtons_second_law_of_motion.py)
   * [Potential Energy](physics/potential_energy.py)
+  * [Rms Speed Of Molecule](physics/rms_speed_of_molecule.py)
   * [Sheer Stress](physics/sheer_stress.py)
 
 ## Project Euler
@@ -978,6 +982,7 @@
   * [Not Gate](quantum/not_gate.py)
   * [Q Full Adder](quantum/q_full_adder.py)
   * [Quantum Entanglement](quantum/quantum_entanglement.py)
+  * [Quantum Teleportation](quantum/quantum_teleportation.py)
   * [Ripple Adder Classic](quantum/ripple_adder_classic.py)
   * [Single Qubit Measure](quantum/single_qubit_measure.py)
   * [Superdense Coding](quantum/superdense_coding.py)

maths/sumset.py

@@ -0,0 +1,37 @@
+"""
+
+Calculates the SumSet of two sets of numbers (A and B)
+
+Source:
+    https://en.wikipedia.org/wiki/Sumset
+
+"""
+
+
+def sumset(set_a: set, set_b: set) -> set:
+    """
+    :param first set: a set of numbers
+    :param second set: a set of numbers
+    :return: the nth number in Sylvester's sequence
+
+    >>> sumset({1, 2, 3}, {4, 5, 6})
+    {5, 6, 7, 8, 9}
+
+    >>> sumset({1, 2, 3}, {4, 5, 6, 7})
+    {5, 6, 7, 8, 9, 10}
+
+    >>> sumset({1, 2, 3, 4}, 3)
+    Traceback (most recent call last):
+    ...
+    AssertionError: The input value of [set_b=3] is not a set
+    """
+    assert isinstance(set_a, set), f"The input value of [set_a={set_a}] is not a set"
+    assert isinstance(set_b, set), f"The input value of [set_b={set_b}] is not a set"
+
+    return {a + b for a in set_a for b in set_b}
+
+
+if __name__ == "__main__":
+    from doctest import testmod
+
+    testmod()