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

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In summary, constants are fixed numbers or variables that do not change in a given context. In physics, constants are often used to represent values that do not vary, and can be either dimensioned or dimensionless. In mathematics, constants are used to represent specific numerical values in equations. Constants can be further categorized as physical science constants or mathematical constants. Physical science constants are officially defined and often have units, while mathematical constants are simply numerical values.
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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?

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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.
 

1. What is a constant exactly?

A constant is a fixed value or quantity that does not change throughout a given context or situation. It is a variable that remains consistent and has a specific, unchanging value.

2. How is a constant different from a variable?

A constant and a variable are both types of data that can be used in programming and scientific experiments. However, while a variable can change its value, a constant remains the same throughout the experiment or program.

3. Why are constants important in scientific research?

Constants are important in scientific research because they provide a stable and unchanging baseline for comparison. By keeping certain variables constant, scientists can isolate the effects of other variables and make accurate observations and conclusions.

4. Can constants change in certain situations?

Technically, constants are meant to remain unchanged. However, in certain situations, constants may be allowed to change slightly in order to accommodate for external factors or to improve the accuracy of the experiment. In these cases, they are still considered constants, as long as the changes are minimal and do not significantly affect the outcome of the experiment.

5. How are constants used in mathematical equations?

Constants are often used in mathematical equations as coefficients or factors. They are represented by letters or symbols and are given a specific value that remains constant throughout the equation. This allows for more efficient and accurate calculations and helps to solve problems involving multiple variables.

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