What are the different types of constants in physics and math?

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SUMMARY

This discussion clarifies the distinction between physical and mathematical constants, emphasizing that constants are fixed numbers or variables that do not change. It highlights the existence of universal physical constants, which are defined with specific units, as detailed on the NIST website. Additionally, it notes that some constants are dimensionless, such as the neutron-electron mass ratio, and asserts that the numeric values of dimensioned constants depend on the defined units. Overall, the conversation establishes that not all constants are equivalent in their nature and application.

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  • Understanding of mathematical constants and their significance
  • Familiarity with physical science constants and their definitions
  • Knowledge of dimensional analysis in physics
  • Awareness of unit systems used in scientific measurements
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  • Research the list of universal physical constants on the NIST website
  • Explore the concept of dimensionless constants in physics
  • Learn about the implications of dimensional analysis in scientific equations
  • Investigate the differences between mathematical and physical constants
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Students and professionals in physics, mathematics, and engineering, as well as anyone interested in the foundational concepts of constants in scientific equations.

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I know a constant is a fixed number, but what is a constant exactly? What does it mean when you have an equation that equals a constant?

Ty
 
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As Sirus noted there are different kinds of constants, physical science versus mathematical constants.

There are official physical science constants defined as Universal at the following URL:
http://physics.nist.gov/cgi-bin/cuu/Category?view=html&Universal.x=82&Universal.y=7

It should be noted that the universal constants are dimensioned, that is, described using units which are themselves defined values (meters, seconds, temp., etc.). None of the physical science constants are "dimensioned" by a unit that is in itself a physical science constant.

There are a number of physical science constants that are dimensionless, usually ratios, like the neutron-electron mass ratio. The numeric value of dimensioned physical science constants are predicated upon the "value" of the defined units. I would say all constants are not created equal.
 

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