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- https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Physics_II_(2212)/02%3A_Math_Review/2.08%3A_FunctionsSome students describe this function by stating that it “makes everything positive.” By the definition of the absolute value function, we see that if x<0, then |x|=−x>0, and if x>0, then \...Some students describe this function by stating that it “makes everything positive.” By the definition of the absolute value function, we see that if x<0, then |x|=−x>0, and if x>0, then |x|=x>0. However, for x=0, |x|=0. Therefore, it is more accurate to say that for all nonzero inputs, the output is positive, but if x=0, the output |x|=0.
- https://phys.libretexts.org/Courses/Bowdoin_College/Phys1140%3A_Introductory_Physics_II%3A_Part_2/06%3A_Quantum_Mechanics/6.02%3A_Wave_functionsIn quantum mechanics, the state of a physical system is represented by a wave function. In Born’s interpretation, the square of the particle’s wave function represents the probability density of findi...In quantum mechanics, the state of a physical system is represented by a wave function. In Born’s interpretation, the square of the particle’s wave function represents the probability density of finding the particle around a specific location in space. Wave functions must first be normalized before using them to make predictions. The expectation value is the average value of a quantity that requires a wave function and an integration.
- https://phys.libretexts.org/Courses/Muhlenberg_College/MC_%3A_Physics_213_-_Modern_Physics/04%3A_Quantum_Mechanics/4.02%3A_Wave_functionsIn quantum mechanics, the state of a physical system is represented by a wave function. In Born’s interpretation, the square of the particle’s wave function represents the probability density of findi...In quantum mechanics, the state of a physical system is represented by a wave function. In Born’s interpretation, the square of the particle’s wave function represents the probability density of finding the particle around a specific location in space. Wave functions must first be normalized before using them to make predictions. The expectation value is the average value of a quantity that requires a wave function and an integration.
- https://phys.libretexts.org/Bookshelves/University_Physics/University_Physics_(OpenStax)/University_Physics_III_-_Optics_and_Modern_Physics_(OpenStax)/07%3A_Quantum_Mechanics/7.02%3A_WavefunctionsIn quantum mechanics, the state of a physical system is represented by a wave function. In Born’s interpretation, the square of the particle’s wave function represents the probability density of findi...In quantum mechanics, the state of a physical system is represented by a wave function. In Born’s interpretation, the square of the particle’s wave function represents the probability density of finding the particle around a specific location in space. Wave functions must first be normalized before using them to make predictions. The expectation value is the average value of a quantity that requires a wave function and an integration.
- https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Introductory_Physics_II_(1112)/02%3A_Math_Review/2.08%3A_FunctionsSome students describe this function by stating that it “makes everything positive.” By the definition of the absolute value function, we see that if x<0, then |x|=−x>0, and if x>0, then \...Some students describe this function by stating that it “makes everything positive.” By the definition of the absolute value function, we see that if x<0, then |x|=−x>0, and if x>0, then |x|=x>0. However, for x=0, |x|=0. Therefore, it is more accurate to say that for all nonzero inputs, the output is positive, but if x=0, the output |x|=0.
- https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Physics_I_(2211)/02%3A_Vectors_and_Math_Review_Topics/2.07%3A_Math_Review_of_Other_Topics/2.7.12%3A_FunctionsSome students describe this function by stating that it “makes everything positive.” By the definition of the absolute value function, we see that if x<0, then |x|=−x>0, and if x>0, then \...Some students describe this function by stating that it “makes everything positive.” By the definition of the absolute value function, we see that if x<0, then |x|=−x>0, and if x>0, then |x|=x>0. However, for x=0, |x|=0. Therefore, it is more accurate to say that for all nonzero inputs, the output is positive, but if x=0, the output |x|=0.